diff --git "a/data/dm_maths/full_data_2/11237_11255.jsonl" "b/data/dm_maths/full_data_2/11237_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11237_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the greatest common divisor of 1050924 and 3633.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3115 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23078 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**4\/6 - 16*m**3 - 351*m**2 - 1817*m. Factor k(w).\nAnswer: -2*(w + 9)*(w + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8771 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171185515 to the power of 1\/2, to the nearest integer?\nAnswer: 13084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 - 5*w**2 + 2*w**2)*(0 + 3 + 2) + (12 + 69 - 139)*(3 + 2*w**2 - 3) + (5*w - 2*w - 2*w)*(0 + 0 - 2*w) as j*w + s*w**2 + b and give s.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899232256 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 335263461, 670526923, 1005790385, 1341053847?\n\"Answer: 335263462*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 4:38 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 734c + 1b?\nAnswer: 7367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 900*o**4 + 331440*o**3 + 88336*o**2 + 5888*o.\nAnswer: 4*o*(o + 368)*(15*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -36973800 to the nearest 100000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127703396 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45961, 45962, 45963?\nAnswer: 45964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3 + 1, 4*k + 3*u = 11. Let p = 52 + 75. Suppose -262 - p = -3*z + r, 0 = -r - k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.9 - -8. Are t and 15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 + 244. Let t be 13 + (1*-6)\/(-2). What is the highest common factor of i and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6192476 to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 117 (c) 1 (d) 3\/7 (e) 125 (f) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -457*a**3 + 15*a**2 + 3*a - 22. Let w be m(-7). Find the second derivative of -157541*x - 316*x**5 + 48*x**5 + w*x wrt x.\nAnswer: -5360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -325*f - 4254. Give t(-13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q + 0*q + 9*q + 2*q - 2*q + 2*q + (4 + q - 4)*(2 + 3 - 3))*(4*q**2 + 0*q**2 - q**2) - 3*q - 4*q**3 + 3*q to z*q**2 + d + y*q + f*q**3 and give f.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 204251?\nAnswer: -204242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225930209.\nAnswer: 2803, 80603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmeegmwmemjk. Give prob of sequence wk.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 25*m - 19*m. Solve 3*n - m*n + 6 = b, -n = 4*b - 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(1584))**2.\nAnswer: 216*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*k**2 - 1\/3*k**3 + 11\/3*k + 4 = 0. Calculate k.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2 = 0, 3*m + 11 = -4*n + 6*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2232223 + -131130?\nAnswer: 2101033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 2)*1\/(-2). Suppose 5*s = 2*a + 21, d = -a + 3*s - 6 - 7. Calculate the smallest common multiple of 2 + -3 - -7 - 0 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0468384784 rounded to four decimal places?\nAnswer: -0.0468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-1156)*(-238)\/36*20\/(-14).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d - 2 = 2*l, 3*d + 5*l = 27. Suppose -7*x + d*x + 27 = 0. Let g = x + 5. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120302 + -3?\nAnswer: -120305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let b(u) = -12 + 5 - 1 + 2 - 89*u + 4. What is n(b(h))?\nAnswer: -178*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*l + 6, -4*q - 3*l + l = 74. Which is greater: q or -17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 6*y - 1. Let s(d) = -3*d - 3. Let i be s(-3). Let g = 423 - 416. Suppose g*x - i*x = -5. Calculate f(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 22*k - 1891. What is l(86)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -593, -1203, -1819, -2441, -3069, -3703, -4343?\n\"Answer: -3*u**2 - 601*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 817 + -4?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 0, 5, -11 in ascending order.\nAnswer: -11, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 32 + 24 = 0. What is the nearest to -43 in r, 2\/17, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(119) + (sqrt(119) - (sqrt(119) - (sqrt(119) - (sqrt(119) - -6*2*sqrt(119))) - sqrt(119))))\/sqrt(7).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178791637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 0 + 3*j**2 - 2*j**2 + j - 1. Is 11 a factor of y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l + 14*l**3 - 5*l + (-l + 2*l + 0*l)*(3*l**2 - 5*l**2 + 3*l**2).\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 7*r**2 - 5*r + 5. Let h(t) = -t**3 - 3*t**2 - 2*t + 2. Let w(v) = 2*b(v) - 5*h(v). Calculate w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 992, -2\/21 in descending order.\nAnswer: 992, 28, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003874413931 rounded to 5 decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 14*q**3 + q**2 - 3*q + 1. Is b(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in -3\/4, -5, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49779317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 2 - 2*k**2 - 58*k + 0*k**2 + 3*k**2.\nAnswer: k**2 - 58*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from {l: 2, z: 10}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 7*b**6\/10 + 57*b**5\/20 + 15*b**4\/4 + b**3\/2 - 3*b**2 - 9*b. Find l such that g(l) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, u: 1, z: 5, h: 1}. What is prob of sequence zh?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29 (b) 0 (c) 4 (d) 15 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55753380877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, u: 5, d: 2}. Give prob of sequence uuw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjiinjjuir. Give prob of picking 1 u and 3 j.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130578040506 - 0.\nAnswer: -130578040506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -320*u**2 + 14*u + 12. Let k(i) = 2*i**2 - i - 1. Give -10*k(d) - s(d).\nAnswer: 300*d**2 - 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxqxxxxxqx. Give prob of sequence qxxx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 2:07 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/2 + (-1 - -2). Suppose 4*q - 7 = 17. Solve -y*x = h - q, 2 = 5*x - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f + 2*f - 21*f**2 + f.\nAnswer: -3*f*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 495.5228 millennia?\nAnswer: 49552.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -8, -11, -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6120452 milligrams in nanograms?\nAnswer: 612045.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 8 = -19*f. Suppose f*u = -5*w + 449, w - 207 = -2*u + 2*w. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.05, 2\/9, 1\/4, -0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -10.9, 0.1, 0.2759?\nAnswer: 0.2759","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e4 + -2fda9b?\nAnswer: -2fd9b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 654 by -109.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 6*w - 4. Let l be g(-5). Suppose -3*d + 13 = 2*q - 7, -q = -l. Let c = -3 + d. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*(((sqrt(275) + -1)*-2 - sqrt(275)) + sqrt(275)))**2 - (sqrt(275) + (sqrt(275) - -4*(2*sqrt(275))**2) + -5)).\nAnswer: -3294 - 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(25\/2)\/(w\/w**(1\/6))**(1\/3) assuming w is positive.\nAnswer: w**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**7)*(r*r\/(r\/(r\/(r\/(r\/r**0)*r)))*r)\/r*(r**(-1)\/r*r)**50)**(-25\/4) assuming r is positive.\nAnswer: r**(525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-88)\/3)*20\/(-15).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*v - 111384, -3*v + 0*v = 11*x - 83438. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n**2 + 1. Suppose x = -x + 4*v - 12, -10 = -5*v. Give h(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/2 - 0) + 43. Let i(t) = 5*t**2 + 3*t + 2. Let l be i(-2). Let p = w - l. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*m + 244, -5*y - 59 - 230 = -m. Suppose -4*g - 114 = 5*l, 2*g - l - 18 = -68. Let k = g - y. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104692 is divided by 478.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - -99. What are the prime factors of m?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**5 + 1374*r**4 - 2*r**3*y**2 - 25*r**2*y**2 + 2*r**2*y + 3*r*y**2 + 16*r*y wrt r?\nAnswer: 180*r**2 + 32976*r - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 3*s + 5*v + 117, 3*v = -5*s + 81. Solve 5*r = -g + s, 7*g - 11*g + 2 = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1156, -1867, -2582, -3301?\n\"Answer: -2*v**2 - 705*v - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 103.3. What is the second biggest value in 2\/3, l, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1. Let a(n) = 4*n**2 - n - 5. What is a(y) - 4*h(y)?\nAnswer: 4*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94803?\nAnswer: 3, 31601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 - 111. Suppose -i*z + 15 + 1 = 0. Suppose z*q - 147 = -3*q. Calculate the highest common factor of 147 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 7 + 41 = 0. Solve c = 2*c - y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k + 333 = 7*k - 63. Let l(r) = -r**2 - 1. Let u(i) = i**3 + 6*i**2 + 34*i + 6. Calculate k*l(x) + u(x).\nAnswer: x**3 + 34*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 37 = -4*i, -i + 0*i = -2*y + 16. What is the remainder when 14 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316638745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*j - 29 - 26, -3*n + 4*j = -19. Let o = n - 7. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 505*n**6 + 204*n**2 wrt n?\nAnswer: 60600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32612779682*t + 32612779682*t + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 263940366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(130))\/sqrt(10) + sqrt(117)\/(sqrt(9) + sqrt(81)).\nAnswer: -7*sqrt(13)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 3, y: 1}. What is prob of sequence yp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-4*(sqrt(21)\/sqrt(3) + sqrt(7))) + -5.\nAnswer: -5 - sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.558 - 0.242. Let w = 1.8 + n. Which is the closest to 2? (a) 4 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/51 in -1\/7, 2\/11, 5, -1681?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 28. What is the second biggest value in f, -5\/2, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - j + 4. Let v be -1 - (-94)\/(-3 - -5). Suppose 0 = 9*u - 450 + 36. Let l = v - u. Determine s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 251e0e62 + -2?\nAnswer: 251e0e60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y**2 + 2*y**2 - 9*y**2 + 8*y - 4*y**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -566*277\nAnswer: -156782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 10*v**2 + 9*v + 13. Let g = -5 + -4. Calculate the remainder when 63 is divided by r(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 23*f - 43. Let r be t(-21). Let k be r*(-7 + 4) - -5. Solve -20 = 3*a - k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - d**2 + 1084. List the prime factors of h(0).\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m - 6*m**3 + 22*m.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 25 + 53 = 0. Let w = -5 + 10. Suppose -o + 3*h - 1 = -0, -w*h = 3*o - 25. Solve -o*m + q = 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72726009?\nAnswer: 3, 113, 214531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 8526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18331810?\nAnswer: 2, 5, 7, 257, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q = 48*q + 32 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 534, 1064, 1596, 2136, 2690, 3264, 3864?\nAnswer: 4496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1692*a - 1688*a = 3*z + 19, z - 5*a = -21. Let h(t) = -25*t - 13. Calculate h(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 14 = -2*r + 4*r, -4*r - 22 = -5*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69572 (base 10) to base 7.\nAnswer: 406556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*o + 671, -2*w + 79 = 4*o - 361. Calculate the common denominator of 77\/78 and (w\/(-288) - -1)*26.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00103105 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*d**3 - 3*d + 7*d**2 - 4*d + 7*d wrt d.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12419 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 108 + 1686?\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -28. Let h = 5 + 0. Put 4, h, s in increasing order.\nAnswer: s, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 676, 665, 658, 655, 656?\n\"Answer: 2*m**2 - 17*m + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 115320452 (base 6) to base 7\nAnswer: 24601115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**4\/24 + o**3\/2 + 3*o**2. Is i(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -88, 4, 5, -4 in descending order.\nAnswer: 5, 4, -4, -46, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 4*c - 1. Let d(u) = 4*u**2 + 9*u - 2. Determine -3*d(o) + 7*y(o).\nAnswer: 2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*u - 2*u. Let p = u - -5. Find the first derivative of p + 1 - 5*f**2 + 4*f**2 + 1 wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -26.53?\nAnswer: -132.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 96.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*j + 4659 - 4911 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 3:14 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 53. Suppose -2*b + 10 = -3*d + 4*d, -2*b = 5*d - y. Suppose -3*t = 2*t - 10. Solve 0 = 4*x - 3*o - 7, -d*x + 3*o - 1 = -t*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.33, -290.8, -0.28?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936804.\nAnswer: 2, 484201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3159))\/(sqrt(3) + (sqrt(75) - (sqrt(75)*1 - sqrt(75) - sqrt(75)) - sqrt(75))).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 plus -1116883826?\nAnswer: -1116883810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i**2 - i)*(55 - 125 + 21)*(6 - 3 - 4)*(-i - 9*i - 2 + i)*(-1 + 5 - 2).\nAnswer: 882*i**3 + 196*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 29*j**2 + 50*j + 191. Let g be l(-5). Suppose -g + 2243 = f - 4*a, -2*f + 3104 = 2*a. Does 79 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/(-80)*2\/(-7). Let h = 967\/308 - k. What is the common denominator of 3\/14 and h?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3124 (base 5) to base 12.\nAnswer: 2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 216 + -1948\/9. What is the fourth biggest value in 2\/9, l, -5, 4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*z = 3*l - 228*z + 113*z - 8, 10*z = l - 80 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*((sqrt(125)*-2)\/sqrt(5))\/sqrt(5) + -3 + ((sqrt(125) + 3 + sqrt(5))*1)**2).\nAnswer: -558 - 138*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1068\/6 + 1*(-2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 2*y + 1. Let v be n(1). Suppose v = -0*l + 3*l - 24. Factor 2*k**2 + k**4 + 6*k**4 - k**4 + l*k**3.\nAnswer: 2*k**2*(k + 1)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4956 and 5428.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {w: 2, l: 3, i: 5, g: 1, r: 3, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 125 * 13336\nAnswer: 1667000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -72*o + 79*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/((-96)\/(-80)))\/((15\/(-6))\/(-5)). Put 113, t, -4 in decreasing order.\nAnswer: 113, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*k**2 + 15*k**2 + k**3 - 32 + 34*k**2 to o*k**3 + l*k**2 + h*k + r and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -247558.8 + 247559. Let t(v) = 5*v + 1. Let d be t(2). What is the closest to d in 0.5, -0.09, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + j - 12*j**2.\nAnswer: -12*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/12 + (-52)\/(-48))*3. Suppose 169*b + 105 = 184*b. Suppose -4*i - 2*a = 0, -26 = -2*i + 5*a - 2. Solve 5 - d = i*u, -3*u = w - b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 744*w**2 + 730 - 766*w**2 - 1469 + 738.\nAnswer: -22*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - 9. Let y = r - -14.9. What is the third smallest value in y, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 9. Let z be g(-5). Find the third derivative of 2*i**6 + 16*i**6 - i**2 - i**z - 13*i**2 wrt i.\nAnswer: 2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:33 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2. Let c(m) = 6*m - 5. Let h(w) = -2*w - 4. Let p(r) = r + 1. Let q(t) = -h(t) - 3*p(t). Let d(f) = 4*c(f) + 20*q(f). Determine g(d(a)).\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*x - 29*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.2755643 rounded to two dps?\nAnswer: -48.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, -1\/6, -3, 153, -0.5 in increasing order.\nAnswer: -3, -0.5, -1\/6, 1\/14, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (0 - 11) + 24 + -3 + -1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 5*m**7\/14 + 13*m**3\/6 - 17*m. What is the second derivative of k(z) wrt z?\nAnswer: 300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4 + p**3 + p**3 - p**3 - 4*p**2 + 0*p + 4*p. Determine t(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38304 divided by -3.\nAnswer: -12768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1144*w - 22875. What is j(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19863271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 19 - 12)*(-i + 0*i + 4*i)*(-9 - 8 + 3) as m + p*i and give p.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3970498?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, m: 4, q: 1}. What is prob of picking 4 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 109. Suppose 13*y - n*y = -84. Let d be 1\/(-1 + -3 + y\/(-6)). Put d, 3, -0.3 in increasing order.\nAnswer: d, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1064, 789, -11, 5.\nAnswer: -11, 5, 789, 1064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*g - 2*x + 7*x, 4*g + x = 47. Suppose g*u - 13*u + 14 = 0. Suppose b - 8 - 2 = 0. Calculate the lowest common multiple of b and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(3*(-2)\/249). Suppose 4*f - 5*p - 24 = 0, -f - 5*p + 9 = -2*f. Suppose 4*x - f = n. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-1)\/(-4)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*r - 42199 = 22070 + 86515. What is the remainder when r is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let u(x) = 5*x + 10. What is 6*k(s) + u(s)?\nAnswer: -s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-37 + 22 - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -9. Let j = -0.6 - -0.9. Let w = 3.3 - j. Which is the second smallest value? (a) 2\/11 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 907873.7 millilitres?\nAnswer: 907.8737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i + 16*i = -120. Solve -i + 6 = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b + 0 + 2\/3*b**5 - 20\/3*b**2 + 8*b**3 - 4*b**4 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.4 and 0.13.\nAnswer: -1.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 12) to base 7\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60192.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 8}. What is prob of picking 2 f?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 6*w + 21. Calculate the remainder when 94 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00200872 to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*y**2 + j**2*y - 31*j*y**3 + 55*j*y**2 - 8748*y wrt y?\nAnswer: 4*j**2 - 186*j*y + 110*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Which is the closest to 1\/4? (a) m (b) 1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597 - 1230 - 2139 = -126*o for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-15)*(-16 - -1). Suppose -2*m + 1 = 3*r, -o*m + 9 - 2 = 3*r. Solve -2*g - m*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 200\/72 + (-2)\/(-9). Solve 0 = 5*r + 25, r - 13 = d + i*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 720.2 + -715.2. Let q = -2.6 + -0.4. Which is the nearest to q? (a) 0.1 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879176?\nAnswer: 2, 109897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:44 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/9)\/(m*m*m**(-2\/9)*m*m))\/(m\/(m*m**0*m))**24)\/(m**4*m**(-2)\/m*m*m*m**(-6\/7)*m**(1\/2)) assuming m is positive.\nAnswer: m**(743\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -468, -436, -402, -366, -328, -288, -246?\n\"Answer: r**2 + 29*r - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3122761373?\nAnswer: 83, 37623631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-19656)\/650)\/(-42))\/(3*8\/(-60))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 9*u = -8*u - 10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-3)*(2 - 27\/6). Solve -s = -2*r - 4, 8 = 2*s - 0*s + i*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 21*j + 226*j**2 + 28*j - 6*j**4 - 47*j to the form i*j**2 + y*j**3 + b + n*j**4 + m*j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(135\/(-42) + (7 - 12) + 8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97032 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 296074 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5054.548 decades in centuries?\nAnswer: 505.4548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 148?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/((z*z*z\/(z\/z**(1\/9)))\/z)))\/z)\/(z*z*z**2)*z**(-9)\/(z*z\/(z\/((z\/z**(4\/5))\/z)*z)) assuming z is positive.\nAnswer: z**(-589\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/(-1275) + 129\/(-6579)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 4, -4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 23*b**4\/12 + b**3\/3 + b**2\/2 + 17*b. Is f(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30879 or -30878?\nAnswer: -30878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1308*t - 572*t - 609*t)*(4*t**3 + 0*t**3 - 2*t**3).\nAnswer: -4978*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 0.01526132.\nAnswer: -0.51526132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 12*b - 55. Suppose 0 = -4*p - s + 736003, 0*p - 920006 = -b*p - 2*s. What is p rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l**2 - 2. Let d be n(-2). Suppose 19 = d*q - 49. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -2*b**5\/5 + b**3\/6 + b**2\/2 - 12*b. Let g be y(-1). Suppose g*o + 79 = 9*o. What are the prime factors of o?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-1) - -2) + -11. Let q be 179\/2 + (-6)\/t. Suppose 4*u + u = q. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44097 - -3175043\/72. Find the common denominator of -139\/12 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b*h**2 - 55*b*h + 1909*b + 2*h**4 + 1577403*h**2 + h - 6 wrt h?\nAnswer: -20*b + 24*h**2 + 3154806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101967 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f. Let y(n) = -9*n**2 - 7*n. Let i(x) = 5*x**2 + 4*x. Let m(c) = -7*i(c) - 4*y(c). Determine m(a(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -136*g + 127*g + 1620. Is g a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*g = 2*b + 8, 5*g + 28 = -4*b. Let v be (24\/10)\/(b\/(-60)). Suppose 3*p - 48 = -v. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 47 = -13. What is the highest common factor of x and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 697462.2 weeks?\nAnswer: 421825138560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 5:41 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -3 - (1 - (-7 + (-7 - -17)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2420793 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 1:17 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -538.97 times -1\nAnswer: 538.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0779 times 0.08\nAnswer: -0.006232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -169, -253, -335, -415, -493?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132414 or 132415?\nAnswer: 132415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 7*y**2 + y + 17. Let o be h(-7). Suppose 7*b = o*b + 5*s + 32, -3*b + 2*s - 25 = 0. Is b equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)*3)\/sqrt(2) + sqrt(6)\/(sqrt(10)\/sqrt(5)))*2.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21182903531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 9, h: 4}. Give prob of sequence hn.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8 + 116. Let s = 262 - m. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1)\/(9\/27). Which is the nearest to -0.1? (a) -3\/5 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = 0, 2*o - o - 181 = -2*t. Suppose 5*i + 3*k = -t, -i = 4*k - 0 + 4. What are the prime factors of ((-180)\/50)\/(-2*(-3)\/i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.518 or 1407.85?\nAnswer: -3.518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 18. Let h = m + -8. Suppose -22 = -h*c - 6. Calculate the greatest common divisor of 40 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*(0 + sqrt(1100) + -1 - 2*(-1*sqrt(1100) - sqrt(1100))) + 3))**2.\nAnswer: 5000*sqrt(11) + 687600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-14) - 53352\/(-399).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 581 = 2*m, -4*l - 3*m + 210 + 264 = 0. Suppose -3*r - l = -21. Calculate the least common multiple of 14 and ((-66)\/(-4))\/((-24)\/r).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 < 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1194, 1594, 2170, 2928, 3874, 5014?\n\"Answer: c**3 + 82*c**2 + 147*c + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1224)\/1053 + 2\/(-9). Let t = -131\/104 - s. Calculate the common denominator of t and 71\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = j - 22, -32 = -2*a - 4*j. Suppose 10*l = -a + 84. Solve x = -4*k + l - 3, 4*k = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z + 27. Let c be s(5). Suppose -3*b - c*b + 75 = 0. Calculate the highest common divisor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2352 is divided by 170.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -749.150733 rounded to 1 dp?\nAnswer: -749.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -9*s - 1804. Let r = 176 + s. Put -4, 3, r in descending order.\nAnswer: 3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -8. Suppose -r*j = 3 + 9, -6 = 2*z + 4*j. Suppose z*s - s - 24 = 0. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/((-4)\/(-24)). Let z be 4\/3*30\/k. Suppose z*q = 5*q + 45. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*l**3 + 84*l**3 - 41*l**3)*(l + 0*l - 2*l) + (-3 + 4 + 1)*(l**4 + 5*l**4 - 4*l**4) as c*l**3 + x + a*l**4 + y*l + z*l**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 2*i + 2. Let r = 4 + -4. Suppose 0 = 2*v + 5*f - 17, r = v - 2*v - f + 1. What is h(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = 310*p - 364 - 2560 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1071, 70, 6.\nAnswer: -1071, 6, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 65040898 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1495774 (base 10) to base 8.\nAnswer: -5551336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + 0.11. Let m be 2\/2*(10 - (6 + -1)). Which is the second smallest value? (a) 20 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 102\/10 - (-20)\/(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22961005, 45922032, 68883061, 91844092, 114805125?\n\"Answer: r**2 + 22961024*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -1)*(7 - 6). Suppose 5*k = -5*x + 745, 0 = -4*k + s*x + 244 + 358. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyppyppyy. What is prob of sequence yyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k**2 + 129084*k - 799552 = 0.\nAnswer: 31\/5, 6448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/7 - 54*h**3\/7 - 1209*h**2\/7.\nAnswer: 3*h**2*(h - 31)*(h + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**6\/1260 + a**5\/30 + 12*a**3 + 18*a. Let h(d) be the second derivative of w(d). Find u such that h(u) = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 17 = -6*m - 3 - 44, 2*m - 2 = 0 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -811*v - 1455. Is z(-23) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000903 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*i - 197*i**3 - 69*i**3 + 57*i - 2*i**2.\nAnswer: -266*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**3\/3 - 7*u**2 + 7*u - 395. Determine h(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1884*t**3*w**3 - 2*t**3*w**2 + 26*t**3*w + 14*t**2*w**4 - t*w**2 - 2*t*w + 2*w**4 + 1226*w**2 wrt w.\nAnswer: 11304*t**3 + 336*t**2*w + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 2530 - 1374 = 0. Which is greater: 242 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -0.2674369619?\nAnswer: -0.7325630381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -32*t - 162. Calculate y(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:31 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 791875.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -31736008+0.36762\nAnswer: -31736007.63238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 2*o - 11. Let i be r(4). Suppose 96 = -7*q + i*q. What is the second derivative of -37*c + q*c**5 + 3 + 52*c - 3 wrt c?\nAnswer: 320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 432\/(-77) + (-15)\/(-35)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2510 + 3847*l - 2510 - 3973*l.\nAnswer: -126*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or -72723425?\nAnswer: -72723425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32232 = 13*q - 7*q. Suppose -q = -56*z - 1956. What is the remainder when z is divided by 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h + 83. Let o be r(-20). Let t = o + -342. Solve 8 = -3*u - t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1660889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 144. Let n be r(0). Let b = 202 + n. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 - 235. Let p = -1\/64 + -121\/448. What is the closest to -0.2 in w, 7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2876.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 17 = 3*v, j + 24 = v - 3*j. Is v equal to 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153795474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34603 = -17*u + 24337 + 26417. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 836 (base 9) in base 13?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -875 = -5*n - 4*h, -3*n - 4*h + 601 - 68 = 0. Calculate the lowest common multiple of n and 306.\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 8. Let b be h(-6). Let u(z) = 7*z**2 - 3*z - 4. Let r be u(b). Let t be (0 + -45)*4\/(-12). What is the highest common factor of t and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 24*x - 1. Let c = -44 + 43. Give j(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6807737111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 9. Let r(g) = g**3 + 13*g**2 - 2*g - 19. Let f be r(x). What is the greatest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - g)*(g + 0*g + g) + 171*g**2 - 335*g**2 - 5 + 165*g**2.\nAnswer: -g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 72. Let f = 2.5 + x. Sort f, -2, -2\/3 in descending order.\nAnswer: f, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -103.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -120122211000220 (base 3) to base 10\nAnswer: -8322288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/105 and 8\/417.\nAnswer: 14595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9*8\/(-24) + 3)\/1. Solve -5*j + d*o + 19 = -2*o, 0 = j + 5*o + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*r**2 - 10*r + 35*r - 18*r - 208*r**2 - 10*r.\nAnswer: -514*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 30 - 6. Let r be (x\/(-10))\/(4\/50). Let v = 24 - r. Solve -2*f + 12 = 4*h, v = -h + 4*h + 2*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 273448 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -120*9\/(162\/(-24)) is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 850306 and 56762?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 8*c**2 - c + 136. Calculate d(0).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46721 and 4788?\nAnswer: 11773692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 h when three letters picked without replacement from {x: 2, q: 1, v: 1, i: 2, m: 1, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 q when four letters picked without replacement from {i: 2, s: 3, q: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 24*i**3 + 2*i**2 + 2*i + 1. Suppose -8 = -2*h, 18*v - 23*v = 3*h - 7. Give j(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6330019511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164925?\nAnswer: 3, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 8:35 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -5\/2 (c) 4 (d) -4\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3042 and 1188.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, o: 4}. Give prob of picking 4 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*g**2 - 1728\/7 + 144\/7*g.\nAnswer: -3*(g - 24)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-144 - 49*i + 86 - 21*i**2 + 59)*(-i + i + i**2) as g*i**2 + f*i**4 + c*i**3 + p*i + o and give c.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Solve 0 = -5*s - 25, q*b + s + s = -12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5 + 8598*j**4 - 8932176*j**3 - 678991976*j**2 + 22645004928*j + 23315056128 = 0.\nAnswer: -94, -1, 26, 2184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*p = -5*z + 17, -7 = -z - 2*p. Suppose -z*b - 1 = -11. Suppose -19 + 7 = -b*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (900\/(-125))\/(3369\/56150)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 1011828?\nAnswer: 5059140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56.2961 - 2.2961. What is the fourth biggest value in -0.6, 1, -2\/13, 5, g?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/19 - (-970)\/190)*498138\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -199198*b**2 - 5*b + 587966*b**2 + 244564*b**2 - 3. Let f be r(-3). What is f rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 - 149 = 20*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 733, 1108, 1501, 1918?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20320)\/(-64)*2\/(-10)*(-51 - -11). Calculate the greatest common factor of 80 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*y + 528, 5*s = 6*y - 2*y - 1325. Let v = s + 272. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28842179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 + 110*z + 605 = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8*6\/24*(1 - -6) and 115?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5125\/1230*(-8)\/(-50))\/((-6)\/(-1035))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 - 238*x**2 - 264*x + 7786. Determine m(60).\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*t - 10*m, 14*m - 15*m - 11 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.1 and 97.\nAnswer: 95.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*u - 35*u - 38*u)*(7 + 11 + 26)*(1 - 5 + 3)*(-2*u**3 - u**3 + 2*u**3) in the form j*u**3 + r*u**2 + b*u + o*u**4 + n and give o.\nAnswer: -2508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 - 10*c**3 + 9*c**3 - 22*c**3.\nAnswer: -34*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**11)**(-2) assuming j is positive.\nAnswer: j**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2945*p = 2980*p - 18200. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/4777648?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -840 (c) 5 (d) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -0.2, 3\/4, 97 in ascending order.\nAnswer: -2, -0.2, 3\/4, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-3)\/((-78)\/(-13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -64 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/22 + 30203\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4351, 17387, 39113, 69529, 108635, 156431, 212917?\nAnswer: 278093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10780 is divided by 3028.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23\/2719 + -5473508\/19033. Let c = g - -288. Is c > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -80*s - 315. Let r be h(-4). Solve 5*w = -5*y + 10, r*y - 24 = 5*w - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -21*y - 8. Let r be k(-3). Suppose 2*l - 2*m + 10 = -0*l, 5*l + 5*m + r = 0. Which is smaller: -5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 11. Let y be q(0). Let x = 24 - y. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -872.08019 + -146.1.\nAnswer: -1018.18019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73219 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0\/1)\/(-4))\/(-1). Suppose 3*w + 32 = 4*n, 2*n + 5*w - 7*w - 16 = j. Let c = 23 - 11. Calculate the least common multiple of n and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 28 = 112. What is the greatest common divisor of 630 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30721 (base 12) in base 9?\nAnswer: 105667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*w**3 + 264770*w**2\/7 + 13733408*w - 16808064.\nAnswer: 2*(w + 728)**2*(91*w - 111)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 9:48 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1913 or 1977?\nAnswer: 1913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/4 + 8211*h\/2 + 4252635\/4 = 0. Calculate h.\nAnswer: -255, 16677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2106 - 4127 - 901)*(21*b - 12 + 12).\nAnswer: -61362*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (964 + -962)*5\/2*4582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:14 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1397316, 1397319, 1397324, 1397331, 1397340, 1397351?\nAnswer: 1397364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*l + 72, 67 = -3*l - 7*a + 2*a. Calculate the remainder when 1*58 - (16 + l) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(-18)\/6)\/((-1)\/1). Suppose -18 = 4*r + s*j - j, -7 = -4*r + 3*j. Let f(b) = -2*b**2 - 2*b - 1. Let u be f(-2). Put r, 6, u, 3 in increasing order.\nAnswer: u, r, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 173 + 472 = 0. Let t(v) = -11*v**3 + 11*v + 17. Let l(o) = 5*o**3 - 5*o - 8. Let m be 1*-6 - 0\/2. Determine a*l(n) + m*t(n).\nAnswer: n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uopup. What is prob of picking 1 p and 1 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 4:07 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.01182534 - 3.78\nAnswer: -3.76817466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdccccddv. What is prob of sequence vc?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -3?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w - 8. Let c be q(1). Let p(m) = -2*m**3 - 4*m**2 - 4*m + 3. Let f(x) = x**3 + x**2 - 1. Give c*f(s) + p(s).\nAnswer: 2*s**3 - 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -180 + 176. Let w(f) = -3*f - 4. Let k(t) = 11*t - 3 - 9*t + 5 + 1. Suppose 5*l + 20 = h, h + 15 = -l + 5. Calculate c*w(r) + l*k(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 11*u + 5. What is y(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.14, -529, -35, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 496, 606, 624, 550, 384, 126?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)\/m)\/(m**(-2\/17)*m)*m**(-5)\/(m\/m**(-7)) assuming m is positive.\nAnswer: m**(-995\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666120 is divided by 1708.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (7 + 1 + 210 + -215).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 187416\/(-266)*(-308)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:42 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -31. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*l + 21 = 422*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p**2 + p + 1. Let m(d) = 27*d**3 + 9*d**2 - 9*d - 9. Calculate 4*m(a) + 36*u(a).\nAnswer: 72*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -78. Suppose 4*z = 2*t - 14 - 12, w*t + 2*z - 15 = 0. Is t bigger than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3741252553898 + 3741252976459.9899942. Let o = -422561.4 + c. Let b = o - 0.59. What is b rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13249290 and 15.\nAnswer: 13249290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 674089505 - -886\nAnswer: 674090391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.3 + 7.6. Let r = -1.451 + -1.149. Let l = h + r. Which is the nearest to -0.3? (a) l (b) 1\/3 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -89, -231, -447, -743, -1125, -1599, -2171?\n\"Answer: -u**3 - 31*u**2 - 42*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/120 + h**5\/12 + h**4\/12 - 4*h**3\/3 - 30*h**2 - 2*h. Give q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.691041 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqq when three letters picked without replacement from {t: 5, q: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7851942 - 287.\nAnswer: -7852229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1 + -3. Let n = -34\/135 + -4\/27. Let l = 17 - 12. Which is the closest to p? (a) 0.5 (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5 + 113*n**4 + 345*n**3 + 347*n**2 + 116*n = 0.\nAnswer: -1, 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 71581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 18. Let w be j*(1 + 6\/(-9)). Suppose 2*x = -3*k + 107, w*x - 2*k + 0*k - 167 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyyyyfyfyyyfyffffp. What is prob of picking 3 y?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 180, -4 in decreasing order.\nAnswer: 180, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + a**3 + 2*a**3 - a**3 + 0*a**3 + (-1 - 2 + 1)*(0*a**3 + 2*a**3 - 3*a**3) + 2*a**3 - 3*a**3 + 3*a**3 - 2*a**2 + 331*a**3 + 2 - a**2 - 358*a**3.\nAnswer: -21*a**3 - 3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(12) + ((sqrt(84) - sqrt(84)*-2) + sqrt(84))\/sqrt(7))\/(sqrt(6) + (sqrt(6) - (sqrt(6) + -2*sqrt(864)))))**2 + 3.\nAnswer: 127\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 88 + 38 = 0. Solve 0 = -5*i - q - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44465 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -62 (b) 555\/172 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 44*k - 187 = 18, -27*t - 2*k = -29*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -494, -85, -2 in increasing order.\nAnswer: -494, -85, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 3*n - n - 1 - 2*n + 1 + (3 - 3 - n)*(0 + 2 + 0) - 20*n + 6*n - 13*n.\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 - 169*j + 815. Calculate x(-61).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3623 (b) 23 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321359.\nAnswer: 321359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.3 (c) 6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in 249, -333, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4332 - 4329. What is the biggest value in y, -7, -30?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 5*w**2 - 5*w + 5. Let v(x) be the third derivative of -x**6\/120 + 7*x**5\/60 - 7*x**4\/24 + 7*x**3\/6 - x**2. What is -7*m(h) + 5*v(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) + 23\/5. Let w(i) = -i + 6. Calculate the remainder when w(c) is divided by ((-4)\/(-12))\/((-2)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*f = -593*f + 73*f + 9937608. Does 24 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 e when three letters picked without replacement from aeaumeuaa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -332012020?\nAnswer: -332012031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375409632?\nAnswer: 2, 3, 13, 300809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45032, -43568, -39594, -31856, -19100, -72, 26482, 61816?\n\"Answer: 209*n**3 + n**2 - 2*n - 45240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 713*p**2 + 713*p**2 - 5736*p**3 + 1291*p**3 - 1428*p**2 to r + t*p**2 + v*p**3 + k*p and give v.\nAnswer: -4445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 12955.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + ((sqrt(468)*2)\/sqrt(9))\/(sqrt(4) + sqrt(32)\/sqrt(128)) + 4 + -5.\nAnswer: 4 + 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-275)\/55*(-2)\/(-10)*-41479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l - 11*l**3 + 1 - 10*l + l + 2*l**2 - 10*l**2 - 24*l**3 to w*l + s*l**3 + f + j*l**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 627924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1 - 97 = 0. Let r = -8 - b. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138111381 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 40.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-53)\/(-7) + -5 + 124\/28. Suppose 4*a = t*a - 48. What is the greatest common factor of 128 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/((u\/u**5)\/u))*u*u**3*u*u**(-4)\/(u**(-4)*u) assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 245137847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/46 and 9\/34?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 2. Let f(k) = 25*k**2 - 1. Let n be f(i). Suppose 2*x - 24 - n = 0. What is the highest common divisor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l - 32 + 127. Suppose 410 = l*n - 15*n. Is 4 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + sqrt(720) + -2)*-3)**2.\nAnswer: -864*sqrt(5) + 25956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18 and 5.3?\nAnswer: 23.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 81*h**2 + 97969. Let c(w) = w**2. Calculate q(c(p)).\nAnswer: 81*p**4 + 97969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j - 21*j + j + 10*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 2. Calculate c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2442946.3 rounded to the nearest ten thousand?\nAnswer: -2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3 = -2*q, 74774*q - 74773*q = 20*z - 104 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*a*b*u + a*b + 2*a*u**2 + 7*a*u + 20*b*u**2 - 6*b*u - 3 wrt a?\nAnswer: -37*b*u + b + 2*u**2 + 7*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6904 (base 13) in base 5?\nAnswer: 432312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 446*l\/7 + 444\/7.\nAnswer: 2*(l + 1)*(l + 222)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {s: 1, l: 1, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -37*h**2 - 2*h + 1. Let l be v(1). Let f = 66 + l. Calculate the greatest common factor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111372333*i**2 + 115877*i - 139 wrt i.\nAnswer: -222744666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 225 + 419504.\nAnswer: 419729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47460 is divided by 2061?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 11010?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 228, -22, -272, -522, -772, -1022?\n\"Answer: -250*c + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from {k: 2, f: 2, c: 1, l: 2, v: 1, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12420)\/16146)\/((-10)\/(-52))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 3. Let h = u - 2. Let c = 3 - h. Solve 3*z + 0*z - 15 = c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/((-4)\/(-16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*x**2 - 3*f*x - 266*f + 1235579*x**5 - 2*x**3 - 159*x - 1 wrt x.\nAnswer: -4*f + 24711580*x**3 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2. Let b(t) = -10*t + 2*t + 3*t. Calculate n(b(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 2 = -r - f - 7, 4*r - 5*f - 25 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/21)\/(11244\/(-17911)). Let z = -6\/937 - a. What is the common denominator of z and 57\/194?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1927 + -1549. Calculate the remainder when u is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 278 - 192. Suppose -2*o - 34 - h = 0. List the prime factors of (-2)\/(-4)*o\/(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)\/(23 - 22). Let a = 1 - -1. Put 5, t, a in descending order.\nAnswer: 5, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1264 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ca + 185?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -35925.7 rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 12:33 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/8)\/(2\/(-8))*35. Let c = a - 35. Suppose 4*o + h + 147101 + 3852904 = 0, c = 4*o + 5*h + 4000025. What is o rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*k**6 + 43*k**4 - 17*k**2 + 87 wrt k.\nAnswer: 3720*k**3 + 1032*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 358921487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -85?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-6) - (-6)\/3\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24.965 and 69?\nAnswer: 93.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 180 + 7)*(1 + 4 - 6)*(14 + 8 + 6)*(5*k - k - 3*k).\nAnswer: 5096*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206302 is divided by 1964?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4635409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = s - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -10296466829?\nAnswer: -10296466833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faavaaaaaaatv. What is prob of sequence ffv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -16. Suppose 6*q = k*q + 12. Factor 4*g**3 + g**q + g**5 - 2*g**5 - 4*g**3.\nAnswer: -g**4*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/37)\/((r\/r**(-19))\/r))\/(r**(2\/7)*r**(5\/7)))**(-38) assuming r is positive.\nAnswer: r**(28082\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231 - 94. List the prime factors of f.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000008 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*d - 3*g = 355*d + 18, -2*d - 28 = 6*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/14869?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79230131.\nAnswer: 79230131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(5*3\/(-1)*355\/6390).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3100 and 24800.\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*z = -0*n + 24, 4*n = -2*z + 24. Let c = n + -20. Let l be 4\/c - 19198\/8. What is l rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/(-6)*(-465)\/310.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11203, 22420, 33635, 44848, 56059, 67268, 78475?\nAnswer: 89680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h**3 - 29*h**2 - 5*h + 32. Let p(c) = 7*c**3 - 19*c**2 - 3*c + 21. Let m(q) = 8*p(q) - 5*s(q). Is m(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -j + 11. Suppose -j*h + h + 269 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*p**2 - 65*p**2 - 204*p**3 + 13*p**2.\nAnswer: -204*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 493 + 22 + (-4 - 0). Let u = 515 - r. Solve x = 5*b - 13 - 3, 3*x = -u*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16915823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -4 + -17 - (0 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**6*y*y*y*y**(-7)*(y**(-2\/3))**(-22))\/(y**(-1\/6)\/y**(3\/8)*(y**(2\/9))**(28\/3)) assuming y is positive.\nAnswer: y**(3485\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*n + 50. Suppose -46 = -m + 2*h + n, 5*h - 295 = -5*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2738 + 305. Suppose -5*q - 593 + i = 0. Is 49 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-2)\/4*9. Let b = -0.594 + 0.194. What is the nearest to 2\/9 in b, -3, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 2 + (0 - -2). Let i be (18 - 19) + (3 - b). Suppose -3*r - i*k + 0*k + 8 = 0, -k = 3*r - 13. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*p, w = 64*p - 61*p + 3352. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 16*s - 1. Let f be j(1). Suppose -f = 3*l - 0. Is -5 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6721\/30 - 224. Let b(d) be the third derivative of 1\/50*d**5 - 1\/15*d**3 + 0*d + 3*d**2 - v*d**4 + 0. Factor b(s).\nAnswer: 2*(s - 1)*(3*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-7)*-2)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {m: 2, l: 8, x: 3, o: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -45104 (base 7) to base 5\nAnswer: -330442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -610 + -3824?\nAnswer: -4334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 707052572 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 718212 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 575845 - 2?\nAnswer: 575843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:13 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 555 + -485. What is q rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/28 in -3.6, 40, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 4*d**4\/3 + d**3\/3 - 5*d**2 - 24*d + 3. Does 3 divide j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1349470 less than -1349831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-14 + 16 + -2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156) + sqrt(156) + sqrt(156) + sqrt(156) + -2*sqrt(156)))\/(sqrt(12) + sqrt(24)\/sqrt(8) + sqrt(12) - sqrt(12)).\nAnswer: 20*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.381 plus 505.2?\nAnswer: 436.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 325400027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:01 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*h**6*l + 16*h**3*l**3 + 213*h**2*l**3 - 13*h**2*l wrt h?\nAnswer: 1200*h**3*l + 96*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 230, 390, 586, 824, 1110?\nAnswer: 1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 + 3*f - 2. Let w be q(-4). Suppose w*a = -4 + 20. Let u = a - 5. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k - k**4 - 8*k)*((1 - 3 - 1)*(-2 + k + 2) + 6*k - k - k)*(2 + 5 - 1).\nAnswer: -6*k**5 - 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 1054 - 2*l**2 + 1054.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5794609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 24.34\nAnswer: -14.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/24*6\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7807 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 307 + -42a?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + sqrt(66)*-1)\/sqrt(11) - sqrt(6))\/sqrt(2)*1)**2 - -5*(-1*sqrt(243) - sqrt(243))**2*-5.\nAnswer: -24297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -26253 and 455 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23369 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 256482 (base 9) to base 16\nAnswer: 2601b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = 8*c - 344 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {o: 10, e: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3716948 - 162280 = -111*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*((-34)\/14 + 1). Let k = -9 + r. Do -1\/4 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 7*g**2 + g**2 + 4*g**2 + 3*g.\nAnswer: -2*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24443, 48893, 73341, 97787, 122231, 146673, 171113?\nAnswer: 195551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a milligram in micrograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**6\/120 - 7*o**5\/60 + o**4\/4 + 4*o**3\/3 + o**2\/2 - 3*o. Let p(k) be the first derivative of u(k). Is p(6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3322530 (base 8) to base 14\nAnswer: 193ca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -89, -4, 2\/5, 24?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310707.\nAnswer: 3, 19, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86303?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + o + 10 = -o, 0 = x + 2*o + 10. Solve 0 = 3*h - 5*n + 13, x*h - 11 = 3*h - 4*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**2 + 8*z + 7. Let p = 3023 + -3034. Let d(m) = -3*m**2 + 4*m + 4. Give p*d(v) + 6*w(v).\nAnswer: -3*v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2127*x**3*y**2 - 4*x**3 - 2*x - 2*y**2 - 31 wrt y.\nAnswer: -4254*x**3*y - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5590.884 hours?\nAnswer: 20127182400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120606269 to the power of 1\/3, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:29 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let v(t) = 22*t - 32*t - 7*t. Give o(v(j)).\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*n + 154. What is the remainder when n is divided by ((-1)\/((-5)\/(-3)))\/(215\/(-9675))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + x - 2 - 2*x + 2*x - 2*x - 3 + (-117*x - 541 + 541)*(-3 + 2 + 4)*(-5 + 4 + 2)*(1 + 3 - 2) to the form u*x + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 136.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 21 = -3*s, -2133*s + 1067*s = -1069*s + 2*t + 21 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 14*g + 13. Let f be b(15). What is the units digit of (-3)\/f*(-200)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -38*m + 36*m. Suppose -m = -20*f + 26. Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03429 to 3 decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.95 - -0.05. Let h = q - 16. Let g = -0.8 - h. Which is the closest to 0.1? (a) g (b) -6\/11 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038 take away -28?\nAnswer: 28.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101 + -11?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.12 (c) 3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69588461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d105 (base 16) to base 10.\nAnswer: -53509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3799 + 3803. Let z(f) be the second derivative of 1\/35*f**6 + 0 + 1\/7*f**n + 0*f**2 + 0*f**3 - 7*f + 9\/70*f**5. Solve z(g) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3133 and 4845787?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 397.6 and 6?\nAnswer: 2385.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 54, 0, -3 in descending order.\nAnswer: 54, 5, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-236)\/(-177))\/((-2)\/(-21)). What is the thousands digit of 18738\/x + 165\/(-385)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 7*c - 4. Let f be s(-8). What is the tens digit of f\/6*(10 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*v = 464, -5*v - 1254 = -5*z + 1166. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 23 - 245*m + 18 + 169*m + 128*m.\nAnswer: 52*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 227182747 a multiple of 781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/4 + 1395*z**3\/4 - 142686*z**2 + 21046220*z - 813633600 = 0. Calculate z.\nAnswer: 59, 260, 816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/2 at most as big as -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose 1 + 1 = -3*k - j*o, 0 = -k - o. Let u be ((-7)\/k)\/(2\/4). Solve 3*y = -2*f - u, 3*y + 5*f + 27 = 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a + 16. Suppose 2*n - 4*i = 0, n - 1 = 3*i - 0*i. Let u = 3 - n. Let x be p(u). Is -5\/2 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttb when three letters picked without replacement from bttttbttttbttb?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4080*j - 1054 = 4142*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49089581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (3 + 5)) + 2 + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2392 - -4472. Is u a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672633 divided by 74737.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 51*b**2 - 8*b + 16. What are the prime factors of k(22)?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -289 - -303. Suppose 70 + 96 = 5*j - 4*w, 3*j - 86 = -w. Let s = j - v. Calculate the greatest common divisor of 80 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t - 7892 = -3*l - 39*t, -5260 = -2*l + 3*t. What is the least common multiple of l and 160?\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -62, -416, -1356, -3176, -6170, -10632, -16856, -25136?\n\"Answer: -49*v**3 + v**2 - 14*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*p + 5622, 2*r - 1879 = -p - 0*r. Let w = 2668 - p. List the prime factors of w.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 663*r*u**2 + 15*r*u - 36*u**2 - 37*u wrt u?\nAnswer: 1326*r - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 divided by 4?\nAnswer: 167\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 670.508mg?\nAnswer: 670508000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.155 - -0.045. Sort -2\/15, 3, -0.4, o in increasing order.\nAnswer: -0.4, -2\/15, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/20 + 216*k**2 - 177*k. List the prime factors of b(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + c**2 + 3)*(3*c + 0*c - c)*(-37 - 15 + 13)*(3 - 1 + 1).\nAnswer: -234*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949?\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39290 and 2230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (689\/(-53))\/(8944\/32).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16177636*z**3 - 251*z**2 + 7907*z?\nAnswer: 97065816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21190 and 1181310?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1716.92 * -2.4.\nAnswer: -4120.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4410 + -13c4?\nAnswer: -57d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 27. What is the closest to -3 in 3, h, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585 and 9045.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*s - 20*v + 21*v, 0 = -s + 4*v + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 6:12 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10337774191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 772, -3, 2\/17 in decreasing order.\nAnswer: 772, 2\/17, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2712 + 0.2710376. Round l to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -41*q**3 - q**2 - 27*q + 39. List the prime factors of m(-7).\nAnswer: 2, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -3.3\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/3451 - 349\/3278450. Is g <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/9 - 2728*a\/9 - 112564\/3.\nAnswer: 4*(a - 789)*(a + 107)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 2\/3*-3. Suppose k = -g*y + 4, -3*y - 2*k + 6 = -k. Suppose 58 = 2*i + i + y*u, -5*i - 5*u = -90. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5305, 5398, 5491, 5584, 5677?\nAnswer: 5770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.48437 litres?\nAnswer: 7484.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = r - v, -3*v = 3*r - r - 39. Solve 7*n - r = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/1*3\/(-27). Which is the nearest to -2? (a) 0.1 (b) w (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) -2\/157 (d) -3\/8255 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Suppose 3*s = -a*q + 201, 2*q - 6*q + 3*s = -231. Is 27 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-42)\/714).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.097\nAnswer: -0.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Let w(g) = 7*g - 4. Determine 15*d(k) - 3*w(k).\nAnswer: -6*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63219*y - 93 = -63218*y for y.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*w - c, -4*w - 40 + 0 = 3*c. Let g = w - -10. Suppose g*z + 5*h - 1385 = 0, -6*z + 4*h = -2*z - 1836. Round z to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 402994\/2313 - 1568\/9. What is the second biggest value in f, 1\/4, -0.5, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*m**3 + 2078*m**2 + 6*m - 2078*m**2)*(-1 + 4 - 2) to the form d*m**3 + z*m**2 + u*m + a and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0 + 1\/12*g**4 + 16*g**2 + 1\/2*g**3 + 1\/120*g**6 + 1\/12*g**5 + 0*g. Determine c(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, i: 6}. Give prob of picking 3 b.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -193*l - 24. Let a(q) = -4*q + 1. Let j(o) = -2*a(o) - 2*n(o). Differentiate j(s) wrt s.\nAnswer: 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001163 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 59*x - 232. What is the smallest common multiple of 63 and t(5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1302 and 28770?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 0 - 45*q + 6*q**2 - 1\/4*q**4 + 0*q**3. Let s(w) = 2*w. Calculate t(s(v)).\nAnswer: -12*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123 + 238 + 59)*(0*n - 4*n + 6*n)*(3*n - 3*n - 2*n) + (-2*n + 3 - 3)*(n - 3*n - n)*(4 - 13 - 3).\nAnswer: -768*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + -16373?\nAnswer: -16341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.14 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(28)\/sqrt(4))**2 + (sqrt(343) + -2*sqrt(343))**2.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201 - -372. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, -1092, -2462, -4380, -6846, -9860?\nAnswer: -13422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3098581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 199366 + -49\nAnswer: 199317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1200*v*z**3 + 390*v*z**2 - 336156*z**3 with respect to v.\nAnswer: 1200*z**3 + 390*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 48 - 6. Let o(v) = v**3 - 7*v**2 + 10*v + 6. Let j be o(g). Which is greater: 204\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 593945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979.977ml in litres?\nAnswer: 2.979977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooofooooooooofooooo. Give prob of sequence of.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/2)\/(-12))\/((-13)\/(-273))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5920\/96 - 17) + 12\/9?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 5}. Give prob of picking 1 b and 2 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62051\/2 + -684351\/22. Is q at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 47*v**3\/6 + 33*v. Let d(r) = 6*r. Give d(p(q)).\nAnswer: 282*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, m: 2, x: 2, y: 7, s: 2}. What is prob of picking 1 s and 1 c?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 - 2*l**2 + 5*l**2 + (2*l - 2*l - l)*(l + 2*l - l) + l**2 + 0*l**2 - 2*l**2 + (l + l + 0*l)*(2*l - 5*l + 4*l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + t + 10524 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-235 - -195) + -36 + 133.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689265779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40268479?\nAnswer: 61, 73, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38517*i + 8893*i - 43106*i + 13689*i.\nAnswer: -59041*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.04 (b) -4\/11 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -559*k + 5570*k + 136*k in the form s*k + l and give s.\nAnswer: 5147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1586*z - 17115 = 14605 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 67*o + 53663 = 47*o. Calculate the remainder when o is divided by 74.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 25?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**5\/60 + 7*l**2. Let z(u) = u**2. What is z(v(d))?\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m + 43. Calculate the remainder when j(4) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from kupvpuppppppp?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*u**3 - 17*u**3 - 18*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*h, 3*z - 3*h = z + 13. Suppose -5*m + 12 = z. Suppose 0 = -2*o - u + 265 + 237, m*o = -5*u + 486. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -2648583.\nAnswer: 13\/882861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(2 - 3))\/2. Suppose j = -5*o + 20 + 60. Suppose -4*z + o = 2*u, u - 17 = -0*u - 5*z. Solve 4*a - 2*x - 16 = -x, -2 = -u*a - x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21400241 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(10\/4 + -1). Let g be b\/3 - (-4)\/12. Suppose p - g = 18. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/3541930 and 75\/118300462?\nAnswer: 591502310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 2*c**3 - 8539 + 8539.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 28*w**2 + 287*w - 1099. Determine z(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 0. Let i be h\/11 + 2600\/22. Suppose -4*s + i = -70. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:11 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134401692?\nAnswer: 2, 3, 1409, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29812330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*c + 79 + 137 = 0, 3*z - 2*c - 226 = 0. Suppose 5*m + 49 = z. Solve -v + 2*t + 11 = 6*t, 2*t - 33 = m*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1379802 and -186?\nAnswer: 256643172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -36*h + 1481. Give x(39).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*s = 7*k - 5, k = -5*s + 24 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 2*d**2 + 2. Let r(x) = x**2 + 11*x + 12. Let i be r(-10). Is h(i) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32073, -55461, -78849, -102237, -125625?\n\"Answer: -23388*s - 8685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 438 + -434. Put n, 106, 1 in descending order.\nAnswer: 106, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*l + 6930 = -257*l. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + 5. Let x be (-8*(-3)\/2 - 4) + 3. Suppose 110 = x*h - 66. Calculate the smallest common multiple of h and d.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 7*a**2 + 2*a - 2. Suppose -16 = -4*v - 116. Let i = 20 + v. What is the units digit of k(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82.6 + -83. Let i = -20 - -17. Which is the smallest value? (a) f (b) 7 (c) i (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4992068 and 0.5.\nAnswer: -4992067.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134.266 + 0.266. Let a = q + 139. What is the third smallest value in -1, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w + 6. Let p be d(0). Let f be 6\/27 + (-79)\/(-9). Let r = f + -7. Solve p - 22 = 4*k - 2*v, -3*k - r = v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/29)\/t**(1\/70))**8 assuming t is positive.\nAnswer: t**(-676\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -32, -45, -56, -65, -72, -77?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1680548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -16*w + 18 + 39. Solve -4*s - 3*v + w = 0, 7*s + 5*v = 12*s - 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + -24 + -28 - (-1 + (-4 - 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/10 + -1 + 236 + -2. Let j = n - 162. Calculate the remainder when j is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/34 less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15219 and -0.15.\nAnswer: -2282.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 3*m**2 + 6*m - 4. Let t be n(4). Let z = -8.1 + 13.1. What is the nearest to 1 in z, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 3893 = 3949. Let d(o) = -o**3 - 3*o**2 - o - 2. Give d(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*v + 5*d, 2*v = 5*v - 4*d - 32. Solve v*o - 42 = 26*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 322, 1288, 2896, 5146?\n\"Answer: 321*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/23)\/a**2)\/((a*a**(-5)\/a*a)\/(a\/(a\/(a**(-6)\/a)))))**(-7))**(-31) assuming a is positive.\nAnswer: a**(-24521\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -49*a + 7. Let t(o) = 24*o - 4. Let x(r) = 4*k(r) + 7*t(r). Let g(l) = 6*l**2 - 3*l**2 - 3*l**2 + 2*l**2 + 0*l**2. Calculate x(g(w)).\nAnswer: -56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 642293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -88b81a + -2?\nAnswer: -88b81c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 10 = -r. Suppose -o + h = -2, 0 = 3*o - r*o + h - 10. What is the smallest common multiple of 8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.8161 millilitres to litres.\nAnswer: 0.0848161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*4\/252*-12\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in 5, -0.4, -13, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 13*h**2 + 11*h. Let i(j) = -j**3 - 7*j**2 - 6*j. Let a(c) = -11*i(c) - 6*s(c). Find l, given that a(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -15*l - 69. What is the tens digit of u(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086798.943 + -537?\nAnswer: 2086261.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10579 - -10390. Which is bigger: f or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5778*z**3 + 19*z**2 + 21266.\nAnswer: -17334*z**2 + 38*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -64400*z - 64398. Give f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = 52*l - 1598. Suppose -3*v - 3*m - m = 6, -3*v - 3*m = 3. Let y = l + v. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/sqrt(108) + -3 + (sqrt(475))**2.\nAnswer: sqrt(19)\/3 + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -17, -10, -1, 10, 23?\n\"Answer: w**2 + 2*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 3*h**2 + 1\/480*h**6 + 0 + 1\/240*h**5 - 1\/24*h**3 + 0*h - 1\/96*h**4. Factor i(j).\nAnswer: (j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + 21. Suppose -5*p + u = 4*w, 3*w + 2*w - 95 = 5*p. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/431 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 165 = 164. Suppose 14 = -4*x + 2, 4*z - 23 = x. List the prime factors of c\/z + (-14053)\/(-115).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3542.097 to the nearest ten.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**41\/g*g\/(g*g**(-5\/2)*g)*(g*g**(2\/49))\/(g\/(g**(-8)\/g)) assuming g is positive.\nAnswer: g**(3189\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m - 20. Let w = m - -8. What is the lowest common multiple of 7 and (w\/6)\/(4\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 8*u**2 + 5*u - 5. Let b be r(-7). Let k = b + -4. Suppose 7 + 8 = k*t. Solve 0 = 5*m + 2*y, t*m + 12 = 5*y - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = 0, 3*f + 5*j + 4 = 31. Let u = -23547 - -23559. Calculate the smallest common multiple of f and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4997 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + n - 2. Let s(k) = -k**3 - 4*k**2 + 6*k + 8. Let c be s(-5). Let w be t(c). Calculate the highest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6.12. Let t = 453.9 + -453.99. Let d = t + l. Sort -2\/9, -0.5, d.\nAnswer: -0.5, -2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 2*w + 49. Calculate o(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*l - 3*l + 5*y, 0 = -3*l - 5*y + 22 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnnnnnjnjjnjjj. Give prob of picking 3 j.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-112))\/((-2669)\/811376)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7 + t**3 - 4 + 3*t - 3 - 5*t**2. What is g(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 5 + 3 + 3434. Suppose -14667 = -3*r + 3*w, 2*r - l - 6341 = -w. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11934660 by -145.\nAnswer: 82308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 35, -5 in ascending order.\nAnswer: -5, 1, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/(-14) - (-6 - -4). Let w = z + 2\/7. Let f = -8.1 - -8. What is the nearest to f in -5, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.17 - 2.57. What is the second smallest value in -4, 3\/2, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 2*s**2 + 0*s**2 - 490*s**3 + 483*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32302994 or -32302976?\nAnswer: -32302994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/19 - 306380*f**2\/19 - 33106536*f\/19 - 894033936\/19.\nAnswer: 2*(f - 153298)*(f + 54)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -14968.366 to the nearest 100.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 120 (b) -16\/7 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0901 less than -20113?\nAnswer: -20112.9099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 - 39786*s\/7 - 79584\/7.\nAnswer: 3*(s - 13264)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)*d)**(-18)*(d**(1\/2))**17)\/(((d*d**1\/d)\/d*d*d)**(-1\/92)\/((d**(-2)*d)\/d**(1\/4))) assuming d is positive.\nAnswer: d**(-159\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*t**5 + 0*t**2 + 0*t**2 + 8*t**2 wrt t.\nAnswer: -1080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 34*q**2 - 4245. Let w(a) = -27*a**2. What is m(w(z))?\nAnswer: -1836*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12245 at most 12238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -103 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 + 19*n - 382. Give k(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -425\nAnswer: -2\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(68) + -3) + sqrt(68))*-4)**2.\nAnswer: -5760*sqrt(17) + 32384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/5*(-6)\/(-4). Does 18 divide (-60)\/p*(-81)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 10:06 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:44 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/84*4400\/78650\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*a - 6. Suppose 19 = a*d - 11. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-6)\/(-25)*-25. Let p = g - -32. Solve 2*i = -4*l + 4, -2*i = 3*l - 0 - p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2528 and 6.44.\nAnswer: -1.628032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*u**5 - 30*u**5 + 6*u**2 + 6*u**5 + 18*u**2 wrt u?\nAnswer: -1080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-38) - (-531570)\/114 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 299\/(-33) + (-86)\/(-1419)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = -24. Let w = -5 - h. Let b = w - -12. Round b to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:11 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 1. Let f(o) = 8*o + 8. Let k(b) = f(b) + 2*w(b). Determine k(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 7, -67*h + 15 = -65*h + m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-159)\/27)\/(-1)*-2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u + 3224*u - 26393 = 139714 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 - 16*b - 96. Calculate the lowest common multiple of z(-7) and 340.\nAnswer: 10540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 8*l - 8. Let g be z(-6). Suppose -3*d - 2*t + g = 0, -4*t + 28 = d - 16. Suppose d = 4*b - b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33003 + 33131. Calculate the greatest common factor of 6416 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -100. Let s be 3\/(v\/20 + 3). Solve -s = a - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 + 2*h**2 + (-h - 6*h + 0*h)*(8 - 8 + 3*h))*(h**2 + 4*h**2 + 9*h**2).\nAnswer: -266*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 5\/2410062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1118*r - 620*r - 379*r - 382*r.\nAnswer: -263*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*((-10 - 36 + 12)*(-2 + 3 - 4) + 2 + 0 - 3)*(-1 + 2*q + 1).\nAnswer: 202*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 3*x + 2. Let j be i(-1). Suppose 3*z - 4 - 2 = j. Suppose 0 = -3*u, -5*u - 2 = 5*o - 6*o. Solve 5*b - 1 = -z*t - o, -1 = 3*b + t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30001323 (base 4) to base 15\nAnswer: -e900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 4) + -26 + -82 + 43?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = -8*b - 40 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183 + -125. What is the smallest common multiple of a and 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26699, 26711, 26723, 26735, 26747?\nAnswer: 26759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let i(l) = -l. Let z(h) = 2*i(h) + x(h). Let b(s) = s**2 + 7*s + 4. Let d be b(-5). Calculate the remainder when z(d) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 9:58 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 8:13 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -76. Put -3\/2, 0.4, h, 2\/23 in descending order.\nAnswer: h, 0.4, 2\/23, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 2)*(-3 - 1 + 2 - 1 - 1 + 0 + 0 + 0 + 2 + (0 - 2 + 3)*(2 - 1 + 0))*((2 - 2 + 1)*(-3*j - 3*j + 4*j) - 5*j + 3*j + 0*j - 24*j + 17*j - 27*j).\nAnswer: 152*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -221*v**6\/60 - 175*v**4\/4 + 347*v**2. Find the second derivative of n(x) wrt x.\nAnswer: -2652*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*t - 14 = 0, 2*o - 52*t + 6 = -54*t. Let n(l) = -l**2 + 5*l + 3. Let x be n(6). What is the biggest value in x, o, -20\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 159*l + 1828. Determine r(-12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + (1*12\/8)\/(1\/(-4)). Find s such that -2\/3*s**i - 14\/3*s**2 + 10\/3*s**3 + 0 + 2*s = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1413 - -703. Calculate the highest common factor of 92 and j.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 0 - 4 = a - 5*a, 0*w + 4*w - 2*a + 31 = 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*x = -14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/21 - (-12)\/(-84). Let p(x) = -10*x. Let u be p(-1). Put k, 1, -2, u in increasing order.\nAnswer: -2, k, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 23*x**2 + 26*x - 4. Let s(f) = -8*f**2 - 9*f + 1. Let y(m) = 17*s(m) + 6*t(m). Is y(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17428, 34851, 52274, 69697?\nAnswer: 87120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 38. Calculate n(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*q + 105, 2*x + q - 3*q - 46 = 0. Suppose -4*r + x = -10. Let s(c) = c**3 - 6*c**2 - 4*c - 3. List the prime factors of s(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 5 (b) 2.2 (c) 4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -45*q - 1. Let w be t(-1). Suppose -x + 5*x - w = 0. What is the smallest common multiple of x and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 a when four letters picked without replacement from waawwrralwalwagl?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -71*u**2 + u. Determine y(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 10. Let q(l) = -10*l**2. Give q(j(o)).\nAnswer: -40*o**4 - 400*o**2 - 1000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 108*p**2 + 4*p - 1. Let r(b) = b**3 - 2*b**2 - 42*b + 123. Calculate the remainder when t(1) is divided by r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8526*z**4 - 16104*z**2?\nAnswer: 204624*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 101792*h + 916186. Determine c(-9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34430984 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 1099*k**2 - 1099*k**2.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 0*a + (4*a + 0*a - 6*a)*(-1 + 4 - 1))*(3 - 2*a - 3)*(2*a - a**2 - 2*a).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.118930582806 and -4.\nAnswer: -4.118930582806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 + 14*y**2 - 2*y. Let u(b) = b**4 - 11*b**3 + 71*b**2 - 11*b. Let d(x) = -11*c(x) + 2*u(x). What is the third derivative of d(n) wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 21*h**4 + h**3\/3 - 3*h**2\/2 + 2*h + 31. Is b(1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t + 8*t + 10*t + 5*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10132860 a multiple of 601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 13375 - 13250 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-42))\/u*u**3)\/((u\/(u*u**(-12))*u)\/u**32) assuming u is positive.\nAnswer: u**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 414?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/((f**5\/f)\/f)))\/f)\/(f\/(f*(f\/(f\/(f**(-2\/15)*f)))\/f*f)*f))\/(f**(2\/3)\/f**(-2\/27)) assuming f is positive.\nAnswer: f**(17\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 3, 0.8, -0.5642, -0.2?\nAnswer: -0.5642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 12)\/(-4) - -1655 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 347 (c) -2 (d) 5 (e) -924\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3. Let g(p) be the third derivative of -p**4\/24 + p**3\/6 - p**2 + 26*p. What is -2*g(b) + l(b)?\nAnswer: 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z + 11. Let t be a(3). Let p be -4 - (54\/(-10) - t). Put 2, p, 3 in ascending order.\nAnswer: p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -44, -66, -96, -134, -180, -234?\n\"Answer: -4*g**2 - 2*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7702, -7722, -7732, -7732, -7722, -7702, -7672?\n\"Answer: 5*l**2 - 35*l - 7672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 179.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 309972891, 309972895, 309972901, 309972909?\n\"Answer: u**2 + u + 309972889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2. Let p(i) = -2*i - 2. Let o be p(-4). Let x(m) = 76 - 76 - 5*m**2. Give o*d(h) + 5*x(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.96? (a) -0.2 (b) 3 (c) 0.3 (d) 0.193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 344871?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = 3*x - 14, -15 = -3*x - 3*h. Suppose x*l - 24 = -7*m + 2*m, 7 = 2*m - l. Solve -m*p = -5*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -73735450483718?\nAnswer: -73735450483720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4611605299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5 + 10340*x**4 - 199784836*x**3 - 1238730456784*x**2 - 2476861517710*x - 1238330856100 = 0. Calculate x.\nAnswer: -7745, -1, 10322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287.052066 milliseconds to weeks.\nAnswer: 0.000000474623125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. Let v be (-406)\/(-396) - h\/18. Let x = 3\/22 - v. Is x equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aag when three letters picked without replacement from {g: 1, a: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 343400022 (base 5) to base 6\nAnswer: 53031014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 18. Let q be (5 + 1)\/(f\/(-8)). Suppose -o + q + 24 = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004496849 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 259\/1036 + 7\/4. Solve -t*j = -53 + 61 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -9.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -3345670.\nAnswer: 1\/1672835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 15 = -70 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b0d46 - -8?\nAnswer: -b0d3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1795\/14824 + -3\/872. Which is the fourth biggest value? (a) -0.5 (b) -7 (c) -1\/9 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 6*c**2 + 6*c + 2. Let b be d(7). Let p(i) = -3*i**2 - 11*i. Let x(o) = 3*o**2 + 12*o. Let z(a) = b*x(a) - 6*p(a). Factor z(k).\nAnswer: 3*k*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose 4*z + 8 = k*z. Let q = -1790 - -14323\/8. Which is the closest to 1? (a) 3\/4 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4414\/777 + -28\/111. Determine n so that 22\/7*n**2 + 0 + 20\/7*n**4 - x*n**3 - 4\/7*n = 0.\nAnswer: 0, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68654308 - -3298405313\/48. Let h = -62438 + z. Let u = h - 89\/3. Calculate the common denominator of -69\/2 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 1033*g**2 - 1033*g**2 + 5*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1544670875?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 146*m - 2330 - 6430. Calculate the greatest common divisor of 330 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.37 - 1.61. Let l = 0.02 - q. Let v = -35998 - -179992\/5. What is the nearest to v in 2, l, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -300 + 299.999999823. Round d to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 10:54 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {k: 2, d: 1, s: 1, f: 1, w: 3, v: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 14*z**2 + 25. Let u(g) = -41*g**2 - 75. Let v(o) = 17*p(o) + 6*u(o). What is the first derivative of v(h) wrt h?\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -549*i**2 + 606*i**3 - 602*i**3 - 7*i**2.\nAnswer: 4*i**2*(i - 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373, 1953, 4741, 8737, 13941?\nAnswer: 20353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 103924044 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 399632 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*g - 405 = 70*g. Calculate the highest common divisor of 2535 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 23408?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 363273 or 362413?\nAnswer: 362413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 93*b - 94*b = -5, 3*b - 1 = -5*z. Let d(n) = -n - 5. Let g be d(-5). Suppose g = -z*w + 7*w - 1055. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4747600*p**2 - 17*p - 255829083 wrt p?\nAnswer: -9495200*p - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 21 = -5. Suppose 5*p + 2 + 3 = -4*c, 20 = -4*p. Suppose j + 90 = c*n, -20 = -b*n - 3*j + 16. What is the smallest common multiple of 16 and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -227, 1.78?\nAnswer: 1.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 4 = f - 5*h, 5*h - 12 = -3*f. Suppose 3 = f*i - 5*t + 2, -5*i + 17 = -t. Solve q + 2*g + 2 = 3*g, 4*q + i*g - 8 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 822 (c) -3 (d) 1\/5 (e) 0.3 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 703.2425 milliseconds in nanoseconds?\nAnswer: 703242500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -434*o**6 - 4826*o**2 - 67*o**6 + 5927*o**2 wrt o.\nAnswer: -60120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3593.02 and 0.8.\nAnswer: -2874.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5189 + -5165. Calculate the highest common divisor of d and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 84. Let g = x + -36. Suppose 5*h - g*q = -2, 0 = 4*h + 3*q - 5*q - 2. Solve -h*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8873.395ng in milligrams?\nAnswer: 0.008873395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1\/7 - (-144966)\/518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 1 + -1)\/1. Let s(c) = 34*c**2 + 12 - 45*c**r - 63*c**2 + 2*c. Let b be s(-9). What is b rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 - -110. Let y be 8\/j + (-1 - (-482)\/(-10)). Calculate the least common multiple of 1\/(-4) - y\/4 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p. Let l be w(-1). Suppose 0 = -r + a - 3*a, 2*r + a = 12. Suppose -r = 13*c - l*c. Sort -3, 5, c in ascending order.\nAnswer: -3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79650 + 164673. Is 141 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60624?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16164\/35 + 2312\/5. What is the nearest to -1 in m, 2\/2441, 1?\nAnswer: 2\/2441","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -10.849\nAnswer: 4.3396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604586 is divided by 67160.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(432) - sqrt(432))*1 + -3 - (-6*(sqrt(432)*-1 + sqrt(432)) + -1*sqrt(432)*-2))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1923 - 621. What are the prime factors of p?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbqg when four letters picked without replacement from nnbgqjq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356262*b*i*t**2 + 6*b*i + 4493*b*t - i*t**2 + 3*t wrt t?\nAnswer: 712524*b*i - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 306*b - 23409.\nAnswer: -(b + 153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951810.\nAnswer: 2, 3, 5, 31727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 12:22 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*m + 57*m - 2808. Solve 0 = 3*r + 39 - m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6.3399284 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684 is divided by 123.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + 24. Let j = -2382 + 2413. Let r = v - j. Calculate the remainder when 107 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 12:38 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 493\/25575 + 106\/5115. Let j = 0 - 4. Which is the closest to j? (a) -5 (b) -1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 29\/30589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 10*s - 7. Let f be c(9). Let o(a) = 4*a - 3. What is the remainder when o(5) is divided by (f\/(-2))\/((-2)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 1614\/174)*(-183)\/732.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f - 75 + 33 = 350 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828848 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6071 is divided by 758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283731 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (11 + (-8 - -3)) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2. Suppose -5*f + 50 = -4*i, -8*i - 7 = 3*f - 3*i. Let s(b) = b**2 + f*b**2 - 11*b**2. Calculate s(x(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/180583 equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -50971.62.\nAnswer: -50973.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -26 - 13*f + 15\/2*f**2 + 5\/3*f**3. Let t(i) = -2*i**2 - 7*i + 6. What is -6*g(m) - 13*t(m)?\nAnswer: -4*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5324.17g in micrograms?\nAnswer: 5324170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.265275 days in seconds?\nAnswer: 714119.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*s + 2*g, 4*s - 1 - 15 = 16*g - 9*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 4*q**3 + 11*q**3)*(2*q - 2*q + 2*q**2).\nAnswer: 26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (108\/(-24))\/(5\/52590). Let p = t + 16931. What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 - r + r + 6*r = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90798c (base 13) to base 7\nAnswer: -40355664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**4\/12 + 3*p**3\/2 - 3*p**2\/2 + 2*p. Calculate the least common multiple of h(8) and -1 + (-5)\/((-10)\/8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-3) - -60*(-78)\/(-702) - 64?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j**5 - 12555*j**4 - 886705*j**3 - 1488665*j**2 - 367260*j + 247220 = 0. What is j?\nAnswer: -263, -94, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 7:53 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6079*d**2 - 8595*d**3 + 6079*d**2.\nAnswer: -8595*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 31*a - 54. Let x be 84\/(1 - -6) + (-1 - 1). Calculate the least common multiple of r(x) and 2.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**4*s**2 + 1315*a**3*s**2 - 2*a*s**2 + 6*a - 4*s - 12 wrt a.\nAnswer: -60*a**2*s**2 + 7890*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*k = 3, -4 = -3*u + 5*k + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 20 = -5*a. Let h(u) = -u**3 - 5*u + 5. Let j be h(a). Let p = 139 + j. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -2, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -31*c**3 - 5*c**2 - 6*c - 2. What is the hundreds digit of o(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 21. Calculate the remainder when 645\/m - (-2)\/7 is divided by (-4)\/(-6) - (150\/(-18) + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 9*h**2 + 3*h + 11. Determine n(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 8 = -4*v, -4*v - 538*w + 539*w = 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 43. Let s = -2.4 - -2. Let u = -0.3 - s. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/((10\/205)\/2). Suppose -8 = 4*o, -3*r + o + q = -o. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -5*c - 0*c. Are 30 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 919, 1151, 1383, 1615, 1847, 2079?\nAnswer: 2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 224. Let q be w(-23). Find the common denominator of 146\/(-4)*(-2)\/(-34) and (q\/18 - (-9)\/3) + 0.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913*k**3 + 1810*k**3 + 3078*k**3.\nAnswer: 3975*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3221759, 3221706, 3221649, 3221588, 3221523, 3221454, 3221381?\n\"Answer: -2*f**2 - 47*f + 3221808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 372629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*5*(-12)\/(-12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19457644.08 rounded to the nearest 100000?\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - 993*f + 3956. Calculate c(4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168735 a multiple of 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (56\/10)\/2*5. Suppose -22*d + 61*d = 26*d + 91. Suppose d*q - r*q + 574 = 0. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2336*a**5 - 3862*a**2 wrt a.\nAnswer: 140160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -a48b2?\nAnswer: a48a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgacgvcvcccaccc. Give prob of sequence vacc.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92265*y**3 - 147*y - 92271*y**3 + 74*y + 73*y.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -595 (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 8133\nAnswer: -8132.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23\/2116)\/((-780)\/(-56)*7\/2). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.3 + -1.3. Let v = 10.8 + -11. Let f = v + 0.1. What is the third smallest value in u, 0.4, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 450\/105 - (-4)\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 4*f**2 + 6*f + 6. Let h be w(-4). Let y(c) = c**3 - 13*c**2 + 41*c + 15. Let z be y(7). Let u = z - h. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/504 and 85\/1321944?\nAnswer: 27760824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 1, k: 5, b: 7, e: 2}. Give prob of sequence khb.\nAnswer: 35\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -277956 (b) -2\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffk when four letters picked without replacement from kvfkvfjqqjkjfv?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 - 6412*i**2 + 19344*i + 115632 = 0.\nAnswer: -1606, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 8, -7, -56, -151?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (2 + -3 - -3). Differentiate 2*i**2 + 1 + 2*i**3 + 0*i**p - 2*i**2 with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2 - 5. Let l = 4 - p. Let g(b) = 28*b**3 + b**2 + b - 2. Is 9 a factor of g(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g. Let p = 2 + 1. Suppose g = 2*x + p*l - 20, 4*x - 12 = l + 14. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 3. Let p be g(8). Solve 0 = -4*n + 2*n + 3*v - 7, 2*n - p*v = -17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126192370.\nAnswer: 2, 5, 17, 61, 223, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19647650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-10 + 5)*2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 346.718\nAnswer: 1386.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 22 = -3*r - w - 12, 47 = -6*r + 8*r - 3*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:06 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) -5\/8 (b) 2 (c) -1\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/27)\/(3 + 8 + 100\/(-9)). Solve -5 - 5\/2*t**5 + 0*t**4 + 10*t**3 - 15\/2*t + 5*t**h = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-594)\/21)\/(-8*(-15)\/(-2520)) and 10?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1210774526 and -1210774527 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t - 78. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.4 (c) 0.064 (d) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3705.9 - -3557. Let z = 148 + s. Let g = 0.3 - 0.3. Sort g, 0.4, z.\nAnswer: z, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/9)\/((f\/f**(-3\/8))\/f)*(f*f\/(f*f*f**(-1)))\/(f**(1\/12)*f) assuming f is positive.\nAnswer: f**(-25\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 3*v**2 + 488*v - 1470. Determine b(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p + 3. Let y be g(1). Let w = y + -6. What are the prime factors of (10 - 2)*((-140)\/(-16) - w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 6*n - 4*n + 70, -5*a - n = -121. Let k be a\/15*(-350)\/(-20). Solve 0 = -0*z - 7*z + k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13863447 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 0 + 2\/2. Let f(o) = -3*o + 4. Let d be f(t). Suppose -3*r = 2*r - 325. Calculate the greatest common factor of d and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - -8. Suppose -l*b + 3 = -17*b. Let p(c) = c + 1 + 12 + 0 + b. What is p(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4335 and 325187730.\nAnswer: 5528191410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27011337 (base 8) to base 9\nAnswer: -12316253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k + 43*k = -52*k + 14702 - 8430 for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -757*m. Let s(w) = -1020 + 2086 - 1066 - 2*w. Determine s(o(b)).\nAnswer: 1514*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -421*p**4 - 270*p**4 - 285*p**4 + (-4*p**3 + 4*p**3 - 2*p**3)*(-3*p + 4*p + p) + 2*p**4 + 0*p**3 + 0*p**3.\nAnswer: -978*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10701117200 to the nearest 1000000.\nAnswer: -10701000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q + 47*q + 6 - 93*q.\nAnswer: -3*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.0096+-184\nAnswer: -181.9904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/4455 + (-48)\/(-528)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/2 + v**3\/3 - 33*v**2\/2 + 7. Find the second derivative of d(n) wrt n.\nAnswer: 12*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 10 - 4. Suppose 2*r - v*r = -3. Suppose 3*b = 10 + 2. Solve -r = -b*k + k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b + 23. Determine v(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4\/5, -3, -27 in decreasing order.\nAnswer: -4\/5, -1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-194)\/(-1552) - (-380)\/32.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 15. Let m be y + 1\/((-4)\/8). Let g(n) = n**3 - 11*n**2 - 10*n - 3. List the prime factors of g(m).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)\/(sqrt(16)\/sqrt(8)) - (sqrt(17) - sqrt(272))*6) + (-2*(sqrt(272) - (sqrt(272) + -2)) - 6*1*sqrt(272)))**2.\nAnswer: 40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765*x - 468660 = -838*x. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 59*u - 67*u - 3234 = -75*u for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6964 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 g be (-10)\/(0 - (-2)\/(-4)). Suppose 0*y = 5*y - g. Let h(s) = s - 20 + 21 - y*s - s. What is h(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjxd when four letters picked without replacement from jxhsyddxhdhh?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3))**(-1\/3)*n**(1\/6)*n**(2\/29) assuming n is positive.\nAnswer: n**(-191\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 8 - 14 - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or -692719?\nAnswer: -692719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 295063681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + -2 + sqrt(147) + sqrt(147) + sqrt(147) + 1 + 4 + sqrt(147) + 2*sqrt(147)*2)*-4)**2 + 3.\nAnswer: 129024*sqrt(3) + 5421315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 512081617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7043 (base 8) to base 9\nAnswer: -4861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -41*z + 137\/2*z**2 - 83. Find the first derivative of q(k) wrt k.\nAnswer: 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(17) - (1 + sqrt(51)\/sqrt(3))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 17*n**2 + 37*n + 21. Let q be g(19). Let s = -66 - -68. Let j(r) = -13*r**q + 6*r**2 - 15*r**s + r**2. Let t(z) = -2*z. Give j(t(l)).\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 w when four letters picked without replacement from vwvvw?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1) - 2\/(-5). Let d = 4396\/19863 - -2\/2207. Which is the biggest value? (a) 5\/4 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3000 is divided by 2994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:25 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 n when four letters picked without replacement from vvvvvvnnvvvnnnnnvnn.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18962681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -851*o - 19583. Determine g(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3051.4 (b) -0.13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201352 = -13*o - 25397. What are the prime factors of o?\nAnswer: 5, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-324)*8\/25?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8974 = -236*n - 113*n + 2892 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*z = -972*z - 1253*z - 23046 - 4637 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 5*o**2 - 5*o - 1. Suppose m + s - 2 = 0, -5*m = -0*s - 2*s + 4. Suppose 1 = -u, m*u + 5*u = 2*z + 3. Is g(z) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333642 (base 11) to base 5.\nAnswer: -2020344323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2476153339.\nAnswer: 11, 269, 836821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(2\/11)*u**(-2\/9))\/((u\/(u*u**4)*u*u)\/((u\/(u*u**(-1)*u))\/u)))\/((u**1)**(-30))**(4\/3) assuming u is positive.\nAnswer: u**(4217\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0269 + -0.1269. Which is the smallest value? (a) -5 (b) 1 (c) 5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 145\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 4*u**2 + u**2)*(0*u - u - u) + 2*u**3 + 0 + 0 + 3*u**2 - u**2 - u**2 + 9*u**3 - 4*u**3 + 5*u**3 + 3*u**3.\nAnswer: 19*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1\/5, 2, 802.\nAnswer: -5, -3, 1\/5, 2, 802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 1, c: 1, t: 3, w: 1}. What is prob of sequence rcy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1217 = 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-0.44615814\nAnswer: -0.54615814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2. Let h(r) be the third derivative of 0 + 0*r**3 - 1\/10*r**5 + 0*r + 2*r**2 + 0*r**4. Determine h(t(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/((-39)\/(-51716)) + (-8)\/52?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 11*n**2 + 10*n. Let j be v(-10). Suppose 5*x - 1 + 1 = j. What is the third biggest value in x, -3, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i*k - 1353060*i*q - 10786*i - k*q - 3*k - 3 wrt q.\nAnswer: -1353060*i - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*sqrt(315)*1)\/(sqrt(112)*1))\/(sqrt(144) - -6*(sqrt(144) + 2*sqrt(144)) - (sqrt(144) - (sqrt(144) + -6*sqrt(144)*-2 + sqrt(144)))).\nAnswer: -3*sqrt(5)\/512 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 483 = -3*a - 390, 4*a + 4*g - 124 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3011, 3167, 3419, 3761, 4187, 4691?\nAnswer: 5267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/4087 - -8188\/28609. Solve 0 + 0*t + 2\/7*t**3 + h*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17564 + -17563. Let x(q) = 5*q**2 - 3. Let t(y) = 0*y**2 - 1 + y**2 + y**2 + y - y**2. Give k*t(p) - x(p).\nAnswer: -4*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08939 - -0.11061. Put -4\/9, 0.5, -0.028, n in decreasing order.\nAnswer: 0.5, n, -0.028, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.17878 centuries in millennia?\nAnswer: 4.917878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 694754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -67, -2\/9, 0.5 in decreasing order.\nAnswer: 0.5, -0.1, -2\/9, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12054 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55301690, 55301693, 55301696, 55301699?\n\"Answer: 3*r + 55301687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9421040*-34.\nAnswer: 320315360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2 + 10 + 2 + 2.\nAnswer: -2*v + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 9) to base 14\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24806917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwc when three letters picked without replacement from {x: 1, w: 3, m: 1, c: 2, z: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -143\/471 and 27 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 4:58 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/7*(-124 - -103). Calculate the greatest common divisor of 336 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6221?\nAnswer: 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1. Let f(n) = -4*n**2 + 2*n - 11. Let m(b) = -f(b) - 6*j(b). Let w be m(5). Let x = -44 + w. Calculate the highest common divisor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i - 5*i - 4*u - 20, i - 20 = 4*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = k - 41, -k - 5*y = 4*k - 55. Suppose k*z - 17*z + 26 = 0. Calculate the greatest common divisor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w**2 - 9. Let f be m(-4). Let v = f + 3. List the prime factors of (-1)\/((21\/v)\/(-7)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -657 + 660. Let p = -6 - -11. What is the closest to -0.3 in 0.5, b, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*j**2 - 50*j**2 + 41*j**3 + (-2*j**2 + 2*j**3 + 2*j**2)*(2 - 1 - 3) + j**3 - 4*j**3 + j**3 + (1 - 5 + 5)*(2*j + 2*j**3 - 2*j).\nAnswer: 37*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*k - 150 = 0, k - 241 + 27 = -5*v. What is the remainder when 279 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 28 = -0*p. Suppose -85 = 8*n + 83. Let y be (285\/21 + (-9)\/n)*11. What is the greatest common divisor of y and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -716, -583, -450, -317, -184, -51?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1665 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 20 + 0 + 1 - 2 + 0 + 2 - 1 + (6 - 3 - 2)*(3 - 3 - 2) - 1 - 2 + 2 - 1 + 1 + 1)*(-2*h - 5*h + 4*h).\nAnswer: -60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 1. Suppose -14 = q - 4*s, q + 4*s = -2*q - 58. Let j(c) = 21*c**3 + 18. Determine q*v(a) + j(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.93*3.\nAnswer: -29.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in -1\/2, -3, -2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 54 = 7*j. Suppose -4*h + 4*m = -2*h + 16, 3*h - 4*m + j = 0. Let i = 3 + h. Is i at most as big as 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.00999995 - -0.01. Round g to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 679 - 674.37. Let g = s - 5.23. Which is the second smallest value? (a) -1\/4 (b) -12 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, r: 1, j: 1, s: 1, i: 3}. Give prob of picking 1 r, 1 s, and 1 i.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 1, x: 1, k: 3, o: 1}. Give prob of picking 1 v, 1 o, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8211.944mg?\nAnswer: 8211944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80894994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*z - 423*z**2 - 93*z - z**3 + 3*z**3 + 252*z + 426*z**2 + 1 to the form f + u*z**2 + i*z + d*z**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**3\/3 - 3*k**2\/2 + k - 2. Let v be l(3). Sort v, 0.4, -4 in decreasing order.\nAnswer: v, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by (-1 + 4)\/6 + 65\/2.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*w + 3*k, -4*w + 6 = 5*k - 27. Suppose 2*j - w + 17 = 3*n, -n = 2*j + 11. Let c(l) = -l**3 - 7*l**2 - 9*l - 4. Is c(j) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -20.789. Round p to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (14 + -46)) + (-3 + -23 - 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*t - 49. Suppose -5*j + 0*j - 3*o = -t, 5*o = -j - 19. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.2 plus 38?\nAnswer: 93.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(78) + (sqrt(78) + -1*sqrt(78) + sqrt(78) + sqrt(78))*1))\/((sqrt(54) + sqrt(54)*-2)*-1).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/5 + 20194116*v**3\/5 - 50975532456498*v**2\/5 + 1223404055111664*v\/5 - 7340406882995232\/5 = 0. What is v?\nAnswer: 12, 5048517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 4) + 6 + -8 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*((-310)\/775)\/((-8)\/5). Factor 0*q + 1\/2 - u*q**2.\nAnswer: -(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2673 and 10.\nAnswer: 26730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/15 - 5*b**4\/3 + 50*b**3\/3 - 4*b**2. Factor m(j).\nAnswer: 4*(j - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1233 or -1708?\nAnswer: 1233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 - 12 = 0. Suppose -j*m + 1844 = -2424. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-406)\/(-21) + 2\/3. Suppose 15*g - 11*g = o. Suppose -3*r = -20 + g. Solve -4*t = t - r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(68)\/sqrt(4) + -3 + sqrt(17))*5 - (sqrt(68) + -1 + 1)).\nAnswer: -16 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 418, 0.2, -2, 0, -2\/81 in ascending order.\nAnswer: -2, -2\/81, 0, 0.2, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.845 - -0.135. Let m = -2 + w. Put m, 2\/7, -4 in decreasing order.\nAnswer: 2\/7, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117534 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272 - 107. Suppose 38*i + 15 = 41*i. Suppose i*y + a = 3*s, y + 0*y = 3. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*f + 18 = 0, 0 = 2*y + y - 4*f + 2. Let i be (y\/(-15))\/(2\/10). Find the common denominator of (i\/40)\/((-1)\/(-7)) and 81\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -899279*w - 234379.\nAnswer: -899279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 7:31 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 427 + -424. Suppose -5*p + 2*p = 12. Put p, u, 2 in increasing order.\nAnswer: p, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01165 and 0.079?\nAnswer: 0.09065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 1, 318 in decreasing order.\nAnswer: 318, 34, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7900948*q + 0 + 9*q**3 + 7900949*q + 2 - 5*q**4 as g*q**3 + n + y*q**2 + j*q + m*q**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 461, 3420, 11445, 27068, 52821, 91236, 144845, 216180?\nAnswer: 307773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -831701, -831671, -831641, -831611, -831581, -831551?\nAnswer: -831521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - w**2 + 268*w - 9*w**2 + 6*w**2.\nAnswer: -2*w**2 + 268*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**3\/3 + 7*m**2\/2 - 6*m + 2. Let n be p(5). Solve n = 2*x - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 52 in decreasing order.\nAnswer: 52, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 + (-324)\/12 + 10\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*0.257.\nAnswer: 0.01799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -103, -194, -441, -922, -1715, -2898, -4549?\n\"Answer: -13*i**3 - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqrqqrqqqq. What is prob of sequence qqrq?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 373, 522, 679?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 9. Let p be a(7). What is the closest to p in 4, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 14. Let y be n\/(-2) - (-49)\/14. Suppose -144 = -2*m + 4*v, -y*v - 92 = -2*m + 50. What is the highest common divisor of 38 and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 337 and 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 24*m**2 - 1. Let q(i) = i - 3255. What is q(r(y))?\nAnswer: 24*y**2 - 3256","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, -1.172.\nAnswer: -1.172, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6500197 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 12*j + 3. Suppose 0 = 6*c - 7*c - 9. Let k be b(c). Let o = -5 - k. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41a58 (base 14) to base 16.\nAnswer: -26aee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -1)\/((-4)\/(-24)). Let a be ((-6)\/(-4))\/((-9)\/d). Factor -c**a - c**3 + 4*c - 4*c + c + c**2.\nAnswer: -c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884036 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*l - 6718 = 10918 - 1106. What is the lowest common multiple of 6 and l?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/(-4))\/7)\/(-1)*(84 + -81)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -55. Put -4, x, -2, -11 in increasing order.\nAnswer: -11, -4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2123 (base 4) to base 8\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11ac6 (base 14) to base 2\nAnswer: 1010100100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 51 = 3*g + 4, 129 = 4*d - g. Let o = d + -5. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 255, 509, 763, 1017, 1271, 1525?\n\"Answer: 254*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 2*r - 1. Let f be y(2). Put 5, 1, f in decreasing order.\nAnswer: 5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 10*m - 6. Let v be l(14). Which is smaller: v or -61?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*g - 89, -1 = -g + 3. Let b(o) = o**3 - 4*o**2 - 2*o + 4. Let f be b(3). Let v be 18\/99 + (-53)\/f. Solve v*a - 1 = -p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 0*f + 25*f + 41*f - 16 - 109*f. Let a be z(-1). Let u(k) = k**3 - 3*k**2 + 4*k - 8. Let p be u(7). Calculate the greatest common divisor of a and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157280 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1317 - -2294. What are the prime factors of h?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -587563, -1175127, -1762691, -2350255?\nAnswer: -2937819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -1300?\nAnswer: 1299.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 86*h**2 - 22. Let p(l) = -173*l**2 + 47. Let b(r) = -3*p(r) - 5*s(r). Find the first derivative of b(n) wrt n.\nAnswer: 178*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/4181, -0.05, -0.2, 8 in descending order.\nAnswer: 8, -2\/4181, -0.05, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -3 + (-92 - -94 - (6 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = -15*y + 4*d - 92, -4*y = -3*d - 86. Solve 41*c = 31*c + y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a - 4. Let v be i(-3). Let y = -2 + v. Solve -s - 14 = 4*f, 3*f + f = -5*s - y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 22412631?\nAnswer: -22412641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 24 = -0*a. Let d(w) = -w - 10. Let p be d(a). Sort -1, -3, p in descending order.\nAnswer: -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61045297723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 - 0.5. Suppose -3*r - 2*l = -7, 3 = -4*r + 3*l + 1. Which is the biggest value? (a) r (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3704.1 + -931.9. Let d = t + 4917.1. Round d to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2685764, -5371595, -8057494, -10743461, -13429496, -16115599, -18801770?\n\"Answer: -34*u**2 - 2685729*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -477107896*0.2\nAnswer: -95421579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.1 + -5. Let i = 0.4 + d. Let r = -27 + 28. Is r bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*r - 775830 = -153741. List the prime factors of r.\nAnswer: 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 9*h**5\/20 - h**4\/4 - h**3\/2 - 19*h + 3. List the prime factors of t(3).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13553 - 46405 = -4*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 6:11 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 7 = 26*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-45) + 4\/(-72)*4. Put s, -0.05, -2 in increasing order.\nAnswer: -2, s, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 2*s. Let r be z(2). Let p be (-60)\/(-15) - (1 + r). Solve 0 = -p*m - 10 - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 12:52 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -882941 and -882941 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7846\/433 less than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(475) + sqrt(475) + sqrt(475) + sqrt(475)*2 + 4)**2 - 4*-3*sqrt(38)\/sqrt(2)*-1.\nAnswer: 588*sqrt(19) + 35673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 - 1701444*t\/5 - 3402896\/5.\nAnswer: 2*(t - 850724)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/12*0\/(-1). Let x(w) = 4*w - 9. Give x(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -771 (base 13) to base 14\nAnswer: -671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*h - h. Let o = h - 12. Solve 3*c = -o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/9 - 13518*y - 243332\/9 = 0.\nAnswer: -2, 60833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39977580 and 1164.\nAnswer: 39977580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 9*r**2 + 5*r + 50. Give x(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**5 + 17*a**5 + 2*a**5 + (2*a**2 + a**2 - 2*a**2)*(5*a**3 - 4*a**3 - 2*a**3) + (-1 + 1 + 2*a**3)*(1 - 1 + 2*a**2) + 3638 - 3638 + 67*a**5.\nAnswer: 95*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000098151828 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(1*sqrt(243)))**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:05 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 8, l: 5}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 3. Let m = 15 + -9. Let x(c) = -m - c**2 + 3 + 2. Let d(z) = -w(z) + 3*x(z). Let n(b) = -3*b**2. Determine n(d(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**5 - 193539*y**4 + 121582*y**2 wrt y?\nAnswer: -120*y**2 - 4644936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46701550.\nAnswer: 2, 5, 7, 17, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*d**3 - 122*d**3 - 71*d**3 - 136*d**3 + 3.\nAnswer: -245*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s*s**(-3\/7))\/((s\/(s*s**(-2\/11)*s)*s*s)\/s)**0 assuming s is positive.\nAnswer: s**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -8*d + 5*d. Suppose -4*z = -8, -d*w + 12 = w - 3*z. Is (-2646)\/(-15) - w\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 5. Let m = 8 - g. Which is the biggest value? (a) 1 (b) m (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5206976 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 - 608369*w**2\/4 - 23132432736*w - 115658361405.\nAnswer: -(w + 5)*(w + 304182)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2310 + -18483\/8. Which is the second smallest value? (a) -2\/19 (b) j (c) 2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 0.0263977?\nAnswer: 0.1736023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -503*n**2 + n**4 + 499*n**2 - 5 - 18*n**4 wrt n.\nAnswer: -408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*b + 321*b - 9639 = -193*b for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1296079154?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4 + 151407*p**3 - 12*p**2 - 13133*p.\nAnswer: -24*p + 908442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/15)\/(1\/(-10)). Suppose -4*x + q*w = -4, -2*x - 3*w + 8*w = 1. Is 453 - (6 - x) - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 797.6 - 899. Let c = -101 - w. Sort c, -5, 14.\nAnswer: -5, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:32 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from royyoyyryoyyoyroo. Give prob of picking 1 o and 1 y.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4006 + 12440?\nAnswer: 16446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 4. Suppose 4*w - 18 = -2*c + 2, -5*w + c = -11. Let n be (3 - h\/w)\/1. Solve -2*k + 17 = -0*k + 5*m, -n*k - 5*m = -20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.1, -26, 2\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126 + 169*q - 53*q - 52*q + 4*q**2 + 378.\nAnswer: 4*(q + 7)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3785, -7593, -11399, -15203, -19005?\nAnswer: -22805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-20)\/w)\/w)\/(w**(2\/9)\/w*w) assuming w is positive.\nAnswer: w**(-200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -3\/4, -1\/11, 18?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 3*c**2 + 5*c + 6. Let w be f(-4). Suppose -d = y - 7, 0*d + 3*y = w*d - 4. Solve 5*n + j + 2 = d*j, -3*n = 3*j + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697909 is divided by 4362?\nAnswer: 4351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/64)*b**(1\/9)\/b)\/((b*b**35)\/(b\/b**(-8\/9))) assuming b is positive.\nAnswer: b**(-2177\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58505.26950921 + 2522.25950891. Let t = -55983 - o. Let w = t - 0.01. What is w rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2033753500 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 u when four letters picked without replacement from unrjrrpururu?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -0.5 (c) 298 (d) -2\/5 (e) -2\/7 (f) -0.03 (g) 195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**6\/120 + f**5\/20 - 2*f**3\/3 + 29*f**2. Factor g(k).\nAnswer: (k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542682\/365 - (-1)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*u + 14, -4*i + u = -2*u - 17. Let n = 18 - 15. Suppose -2*v - n*v = 0. Solve v = h - i*p + 5, -3*h = -7*h - 2*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38551 - 38556. Let i = 0.05 - -0.35. Which is the smallest value? (a) i (b) s (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, -38, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.35095 to 2 decimal places.\nAnswer: -13.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 12, a: 1, w: 7}. What is prob of sequence wcac?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492512691.\nAnswer: 1492512691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**7\/d)\/(d\/(d**(2\/7)*d)))\/(d**7\/((((d**(-2\/5)*d*d)\/d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-74\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, -12, 0, -5, -132, 6 in descending order.\nAnswer: 20, 6, 0, -1, -5, -12, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107094 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 26*p + 2. Let g(y) = -1. Give 2*g(r) + z(r).\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(833))*4 - sqrt(833) - (0 + -3 + sqrt(833)))**2 + (-5 + 3 + -1 + sqrt(833) + 2)**2.\nAnswer: 70*sqrt(17) + 4175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/o)**(-1\/7)*(o\/o**(-1))**(-2\/23) assuming o is positive.\nAnswer: o**(-38\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (76 - 41) - (-4 - -18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x**4 - 20 + 17*x**4 + 2 wrt x.\nAnswer: 84*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11386 by 82.\nAnswer: -5693\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101111001101110 (base 2) to base 4.\nAnswer: -31321232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*q - 160 = 0, 0 = -2*u + 4*q - 25 + 345. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -3.5 (c) 925 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 68*n + 8818. What is the remainder when t(-118) is divided by 378?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 + -79.93. Let i = -1.0699909 + o. Round i to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 151.\nAnswer: -4\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 30*r**2 - 31*r + 71. Let w = 64 + -35. What is the remainder when 128 is divided by b(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.64302 times 1?\nAnswer: -6.64302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - ((4 - 3) + 0 - (-1007)\/(-11)). Is y > 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 2\/9, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/7)*n)\/(n*n**(2\/5)*n))\/(n*n**(4\/3)\/n)**(-41) assuming n is positive.\nAnswer: n**(5668\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3901296397.\nAnswer: 101, 4057, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 12:33 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + e4?\nAnswer: e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, t: 4, n: 2, v: 3, d: 1}. Give prob of picking 2 v.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:34 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.191 + 12.191. Let z = -14 + v. What is the nearest to -53 in 1\/3, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137 - -135. Suppose -v - 67 = z - 5*z, 5*v = -z - a. Let p = v - -79. Solve 5*s = -b + 2*b - 19, -4*s = -3*b + p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*w + 21564, 4*n + 2*w - 3399 - 39727 = 0. Let z = 2291 - 7672. Let s = n + z. Round s to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/2 (b) 3 (c) -15499250\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -98*z + 1. Let a(b) = -b + 5. Let t be a(8). Is u(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/44 and (86*2\/(-4))\/(2 - 16).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 51.734764\nAnswer: -10.86430044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0227766 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -50381*k - 654959. Determine x(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2244411120 + -210?\nAnswer: -2244411330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -29426\nAnswer: -29410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45870\/(-2970) + (-4 - -15)?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*q. Suppose -2*d + 1 + 3 = q. Suppose -4*i = -2*w - 24, 2*i + d*w - 18 = -0*w. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -304423.2.\nAnswer: -304423.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 - 8*b**2 + 7*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1196*y. Let d(s) = -87*s**2 - 58*s. Determine f(d(q)).\nAnswer: 104052*q**2 + 69368*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.4 + -34. Let t = x - 4. What is the second biggest value in 2, 3, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by -81?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 486*g - 487. Let x be t(-1). Let s be 14\/3 - 6\/9. Let 1\/3*y - 1\/3*y**3 + 1\/6 - 1\/6*y**s + 0*y**x = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 3*s**2 + 1. Let u be z(-3). Let f be (u - 1\/3)*-3. Let j(r) = r + 4. What is the units digit of j(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.48342 rounded to the nearest integer?\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**2\/3 + 9727516*y\/3 - 3242504 = 0.\nAnswer: 1, 2431878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259430 divided by 7.\nAnswer: 259430\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -173889*x**4 - 379348*x wrt x?\nAnswer: -2086668*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 3*p**4)*(9 - 9 - 10*p) + (p**3 + 0*p**3 + p**3)*(3 - 2*p**2 - 3)*(-4 + 1 + 1).\nAnswer: 38*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30 - 1866\/(-48)) + 2\/16. Solve -13 = p*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -2\/11, -5 in descending order.\nAnswer: 6, 4, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7222334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 470258?\nAnswer: 47025b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 4*c**2 - 4*c + 3. Let x be (-14)\/(-56) + 159\/4. Let j = 29 - x. Let z be ((-5)\/(-3))\/(j\/33). Give d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**8\/273 - 178*r**7\/455 + 2341*r**6\/780 + 478*r**5\/195 - 539*r**4\/52 + 310*r**3\/39 + 335*r**2. Let t(a) = 0. What is a?\nAnswer: -1, 1\/4, 1\/2, 5, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:04 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-8) - 0)*-284. Let t = -425 + p. Calculate the greatest common divisor of t and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 137*t**7\/210 + 17*t**4\/3 + 54*t**2. What is the second derivative of o(b) wrt b?\nAnswer: 1644*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2557859\/8 + 319033. Let r = m + 696. What is the common denominator of r and -9\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-310)\/168)\/5 + 73\/(-292). Does -2 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -71*h**2 + 6*h - 67*h**2 + 192*h**2 + 5. What is the tens digit of i(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 18, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1251*j + 1260. Let n be p(1). Solve -n = -q + i, -16*q - 4*i = -14*q + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f + 254. What is the remainder when a(0) is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {b: 2, k: 2, r: 3, u: 4, n: 1, h: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5239\/5 + -1048. What is the nearest to 1\/3 in r, 0.6, -1, -16?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 6984085.\nAnswer: 41904510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9865, 19894, 30111, 40516, 51109, 61890, 72859?\n\"Answer: 94*u**2 + 9747*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7369683 or 7369755?\nAnswer: 7369755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5\/7 - 34500*t**4\/7 + 147845482*t**3\/7 + 1154676144*t**2 + 1133550432*t = 0.\nAnswer: -53, -1, 0, 8652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/2 + 3537*f**3 + 7075*f**2\/2 = 0 for f.\nAnswer: -1, 0, 7075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0*n - n**2 - 4 + 3 - n. Let f(r) = -10*r**2 - 8*r - 8. What is -f(s) + 8*x(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 2*m + 1. Determine d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**4\/6 - k**3\/3 + 2*k**2 + 27*k. Suppose l - 2*l = -1. Let q be h(l). Solve -d = q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 60860 + n**2 - 17824 - 2*n + 6*n**3.\nAnswer: -n**3 + n**2 - 2*n - 78684","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-34)\/8 + 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174 + 467. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + -2 + (-13 - -8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 31*m - 92. Factor 2\/3*f**5 + 20*f**3 - 6 - 6*f**m - 92\/3*f**2 + 22*f.\nAnswer: 2*(f - 3)**2*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, -104, -298, -668, -1274?\n\"Answer: -10*c**3 + 2*c**2 - 14*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -5*p**3\/6 + 95*p**2\/2 + 2676*p. Give q(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 27 - 7 = 0. Let d be -4 + (80\/(-30))\/(1\/3). What is the remainder when (-1*2)\/(d\/(-24)) - -8 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**5\/120 - q**4\/36 + q**3\/36 - 29*q. Determine l, given that b(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbcc. What is prob of sequence ccb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2 = -j, 4*h = -j + 31 - 43 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + 7 - (2 + 0 + -1). Suppose h - 40 + 29 = t. Calculate the remainder when 41 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -2\/3*f**7 + 0*f**5 + 0 + 0*f**2 + 0*f**6 + 0*f**4 - 19\/6*f**3 + f. What is the second derivative of v(o) wrt o?\nAnswer: -560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000841927134 rounded to 7 dps?\nAnswer: 0.0008419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000147965 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 + 0.7352?\nAnswer: 0.3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2709\/85 - 742669\/23460. What is the common denominator of q and 19\/6?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 p when three letters picked without replacement from hdpdddh?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*f - 4. Calculate the remainder when 30 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let r(f) be the third derivative of -3*f**8\/2240 - 37*f**5\/60 + 23*f**2. Let q(i) be the third derivative of r(i). Give q(d(c)).\nAnswer: -108*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/142 and -17\/12425.\nAnswer: 24850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 2)*(-2)\/(-4). Suppose 21 = -2*f + 59. Solve -k + l*k - 5*p = -f, k - 3*p = -5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7764, 15962, 24164, 32370, 40580, 48794?\nAnswer: 57012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5374?\nAnswer: 2, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 5. Let j(b) = 57*b**2 - 14*b - 215. Let u(h) = -14*a(h) - 2*j(h). Find the first derivative of u(o) wrt o.\nAnswer: -228*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 17*o + 5. Let q(i) be the third derivative of -i**4\/3 - i**3\/2 + 6*i**2. Let v(h) = -5*q(h) - 3*y(h). List the prime factors of v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 + 1060*o**2 - 5*o - 1060 = 0. What is o?\nAnswer: -212, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 176032 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -912474*l**3 + 591730*l**2 wrt l.\nAnswer: -5474844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*1\/10*(-237)\/553?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8135, -12201, -16267, -20333?\n\"Answer: -4066*t - 4069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 107\/281 (b) -1 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2747*h**3 - 945.\nAnswer: -8241*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5902084621 to the nearest integer?\nAnswer: 1807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5988*u**2 - 10329*u**2 + 6720*u**2 in the form h*u**2 + t*u + q and give h.\nAnswer: 2379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from fffffffcfuf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 687657*i**5 - 3*i**3 + 7041*i**2 - 1.\nAnswer: 41259420*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -634*r**4 + 306*r?\nAnswer: -7608*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7400 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -831103 and -0.22?\nAnswer: 182842.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -6c?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 times 6?\nAnswer: 6402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 136*i**2 + 0 - 136175870*i + 136175870*i.\nAnswer: -136*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - -51. What is the highest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-192489)\/4)\/(4\/32). Let a = x + 211978. Round a to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-161)\/46*8\/(-7). Suppose 2*z + z - p = 41, 28 = u*z + 4*p. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -14*c. Let y(n) be the second derivative of 17*n**3\/6 + 46*n. Determine j(y(m)).\nAnswer: -238*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 7*d**2 - 2. Let q be n(-7). Let c be (2\/3)\/(q\/(-12)). Solve 6*o = c*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 36*d**2 - 35*d - 91. Let j(l) = 9*l**2 - 9*l - 23. Let q(a) = -22*j(a) + 6*y(a). Let w be q(19). Round w to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/4585 and -39\/50.\nAnswer: 45850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 + 394 = -7*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5. Solve i - 6*i - 9 = -3*a, -z*i - 4*a = 20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 13 + 0 - 8) + -17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4787887225 rounded to the nearest one hundred thousand?\nAnswer: 4787900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m**5 - 2*m**4\/3 + 76*m**3\/3 + 2*m**2\/3 - 4*m\/3 = 0 for m.\nAnswer: -1, -1\/4, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1185 and 257430.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 + -124 - 90) + (31 - -1).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -10) + 380\/(-35). Which is the closest to -2\/7? (a) -6\/7 (b) -1\/8 (c) h (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n + 25*n + 9*n - 9*n + 8*n - 13*n + (-2*n + 2*n + 2*n)*(1 - 1 - 2).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*m = -166*m + 2. Let x(p) = p**3 - p**2 + 4*p - 3. Calculate x(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254444432 to the nearest integer?\nAnswer: 15951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 63*l**2 + 261*l - 2. Give m(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493837290.\nAnswer: 2, 3, 5, 1829027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2552 divide 1012922130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29685 + 34213 = -283*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 358718997 to the power of 1\/3, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 560 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.89652 + -0.10752. What is f rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 2013*d + 6048.\nAnswer: -(d - 3)*(d + 2016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106543830*q**5 - 148287206*q.\nAnswer: 2130876600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**3 + 2*d**2 - 2*d - 5. Give z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {i: 3, e: 11, d: 5, k: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:55 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 4*m - 1. Let i be 188\/60 + 22\/(-165). Let z(a) = -6*a + i*a + 1 - 842*a**2 - 3*a + 841*a**2 + 3*a. Calculate -3*b(c) - 4*z(c).\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 962177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65779*r - 65755*r - 65765*r - 65765*r + 263061*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*y**2 + 291*y**2 + 224*y**2.\nAnswer: 107*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30102 (base 4) in base 12?\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (162\/(-33))\/(-6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10165 * -16864.\nAnswer: 171422560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 13. Let i be w(-8). Let a = -173\/3 + 415\/6. Calculate the common denominator of a and 24\/18 + (-1)\/i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 718552081 and 362?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**35\/h)\/(h*h*(h\/(h**21*h))\/h*h))\/(h*h*h*(h*h**13\/h*h)\/h*h*h**(-4\/19)) assuming h is positive.\nAnswer: h**(726\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u**2 - 3. Let t(w) be the first derivative of 4*w**3\/3 + w + 2. Let h(q) = 6*b(q) + 17*t(q). Find the first derivative of h(p) wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 124992*a**2 - 8*a.\nAnswer: -124992*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 + 7*i + 16. What is the units digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.278 + -0.022. Round i to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, f: 2}. Give prob of sequence nff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-2) + -11)\/(-11)*(-2)\/(-14).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57745?\nAnswer: 5, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*-1)\/((-66)\/88). Suppose -4*w + a*n - 3 + 11 = 0, 0 = -2*w + 3*n + 6. Suppose w*o - 128 = -4*o. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79676 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22001020211200 (base 3) to base 14\nAnswer: 7d4549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3318 divided by -7\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - -9 - (28 + -37)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/38 (b) 1 (c) 2\/5 (d) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 1.3 (c) -0.2 (d) -156\/863 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4824631 or 4824682?\nAnswer: 4824682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333163, -1332819, -2998957, -5331565, -8330631, -11996143?\nAnswer: -16328089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:01 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -16. Solve 5*m = 4*m - q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*f - 1, -4*i + 5*f + 5 = i. Suppose i*r + 18 = -r. Is (2\/3)\/(r\/(-459)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = -3*g, 0*g = -n + 4*g - 20. Solve n = 3*s - 2 - 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/5)\/(-12)*-3*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -525*x**2 - 531*x**2 + 1574*x**2 + 1 - 522*x**2 + 2*x. Suppose -o = 5*t + 1, -5*t + o - 4 - 5 = 0. Give y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1315 - -1315. What is the closest to n in 3, -1\/3, -33, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.038740661 - 288.\nAnswer: -287.961259339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2655 and 265602.\nAnswer: 235057770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170488\/42 + 4\/(-14) + -7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-1 + 3 + -1). Solve l + 3 = -2*l + 3*k, 4*l + k - 16 = a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172*(10\/(-4) + 3)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*h - 145. What is the remainder when (-422)\/(-8) - (85\/(-20) - -5) is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - a - 74 = -78, k + 2*a - 8 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0267 + 4.0267. Suppose s + 6 = 2*s. What is the fourth biggest value in 3, s, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1593010 and 3856.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 3 = 3*k, -2*k + 10 = -2*m. Suppose 3*j = -3*b - 6, -k*b + 5*j + 33 = 2. Suppose b*n - 39 = -0*n. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26404971.\nAnswer: 3, 53, 71, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 4. Let p(g) = -g + 4. Let a(k) = 3*h(k) + 2*p(k). Calculate the remainder when 4 is divided by a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -w - 4*g, 0 = 5*w - 6*w + 3*g + 165. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2*c**2 + 6*c - 6. Let j be f(3). Suppose 4*a = j + 1, -3*a + 17 = q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3567824213.\nAnswer: 271, 13165403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/6 + 1)*4. Suppose -c*k + 50 = 3*k. Suppose 36 = k*u - 6*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 257479487 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*y - 31, 21 = -5*d + 3*y + 176. Suppose a - d = 2*a. Let r = 4 - a. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 1369*a**2\/2 + 1221*a + 1089\/2 = 0?\nAnswer: -33\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 27*d**2 + 26*d - 36. Let v be 3\/((-21)\/2) + (-1746)\/63. Let u be h(v). What is the greatest common factor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31819.\nAnswer: 47, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 + 2. Let o(n) = -n**4 + n**2 + n - 1. Let s(f) = 2*o(f) + t(f). Determine i so that s(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3693117*l**2 + 4161547.\nAnswer: -7386234*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -154.9 and 0.498.\nAnswer: -77.1402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 24. Suppose 3*g = 5*v, 0*g + 22 = 2*g + 4*v. Calculate the least common multiple of r and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.5 times -0.10563?\nAnswer: 1.742895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*y**4 + 15356*y**3 + 76041*y**2 + 103194*y = 0. Calculate y.\nAnswer: -26, -63\/22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -34*s - 2902. What is l(-79)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/1)\/((-1)\/(-1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -791 and 4.\nAnswer: -787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25612 (base 8) to base 2.\nAnswer: -10101110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 2*i**3 - 172*i + 172*i + 0*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: Calculate prob of sequence utj when three letters picked without replacement from {t: 11, u: 1, j: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -51527 >= -61039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 2 + -52*7\/(-28). Solve 0 = -3*u - 0*u + v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m = 4. Let n(t) = -3*t - 2. Let f be n(m). Solve y + 4 + f = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-561)\/(-132) + -6 + 1)\/((-2)\/(-48)). Are 0.143 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 64424*f - 966276. Give u(15).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sms when three letters picked without replacement from hnssnmnrnh?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/8 + (-34)\/(-11) and -57\/208.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-42))\/(4\/14). Suppose 4 = y - k*y. Which is the biggest value? (a) 3 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.279 + 134.721. Let g = 134 - s. Which is the closest to g? (a) -2 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12256 + 12258. Let r(y) be the second derivative of -24*y + 0 - 1\/6*y**3 + 0*y**c. Let l(o) = 11*o. Determine l(r(p)).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/7920 and 47\/11616?\nAnswer: 174240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6345\/2 or 3174?\nAnswer: 6345\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6135682 (base 10) to base 8.\nAnswer: 27317602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16 = -32. Suppose 2*r - 46 = 74. Calculate the greatest common divisor of x and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194*w**2 - 1207*w**2 - 157*w**3 + 3600*w**2 - 79*w**3 - 1199*w**2.\nAnswer: -236*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -88\/1797?\nAnswer: -88\/1797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1780647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 12*x - 781. Give i(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a millennium in decades?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 532775*11\nAnswer: 5860525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8 and ((-155)\/215)\/(-1) - 1.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, -2, 5, 1023, -4, -6 in decreasing order.\nAnswer: 1023, 138, 5, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-4))\/((-19)\/855). Solve 35 = -i*c + 38*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 2:45 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 66286 = -4*b, 16569 = -0*b - b + n. Let a = -9637 - b. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 5, 1895\/4, -220, 2?\nAnswer: 1895\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/(-1))\/(-6) + 9. Differentiate 59*o**2 - 59*o**2 + 98*o**g - 60 wrt o.\nAnswer: 392*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3 + -1 + 2. Suppose -6 = -2*h + s. Suppose -t + 43 = 2*t + 2*u, -h*t = 3*u - 56. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40338992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r - 5*v = -8, r - 10 = -4*v. Solve 5*i = -3*x - 5, -r*i + 0*x - 2 = -2*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*i**2 + 387*i - 1001*i**2 - 387*i.\nAnswer: -1080*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**5 + 70*s**4\/3 - 137*s**3\/3 + 56*s**2\/3 + 20*s\/3 = 0?\nAnswer: -2\/9, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 8}. Give prob of picking 2 m.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = 4*i + 3, 3*f = -4*i - 18. Suppose 4*s - 5*n = 11, 5*n - 1 - 4 = 0. Is 2 a factor of -1*10\/s*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -2. Let i(r) = r**3 - 5*r**2 - 3*r + 2. Is i(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 5*o**2 - 7*o - 4. Let g be c(-6). Let a be g + 2 - 1 - -132. Suppose 4*q = 69 + a. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28275386 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/24 + 8178*u**2. Let g(v) = 946*v - 1. Give g(z(m)).\nAnswer: 946*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572069 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/13456797 and -13\/9.\nAnswer: 40370391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2697970?\nAnswer: 2, 5, 11, 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxx when three letters picked without replacement from {x: 2, k: 7, w: 2, h: 1, p: 1, g: 4}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*l + l - 3*l - 5 + 5 - 3 - 2*l + (3 - 3 - 1)*(5*l + l - 5*l) - 3*l + 6*l - l.\nAnswer: 7*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32322233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/((-1200)\/(-25))*-6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 860 and 172.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/(-6)*(-40)\/(-36). Suppose 0 = 2*h - 12 - 4. Suppose 3*p - h*p = -o. Put 3, -4, p in descending order.\nAnswer: 3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-30) + (-2)\/3. Let t = 5 + g. Let c(z) = 8*z - 29. What is the remainder when 27 is divided by c(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3.3, 1, -481, 5.\nAnswer: -481, -3.3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13295 + 177 = 2*x + 4*r, 2*x = -5*r + 13467. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 22 - 3*h**2 + 80 - 29.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -28, 5 in descending order.\nAnswer: 5, 2, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61537 is divided by 187?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(286)*4)\/(sqrt(396) - sqrt(396)*2))\/(3*(sqrt(96)\/sqrt(3) + sqrt(2))*1).\nAnswer: -8*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 213610?\nAnswer: 213607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 6.1. Let s = 1.7 - g. What is s rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2544 and 16?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbg when three letters picked without replacement from bbbbggbbbgg.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57, -55, -55, -57?\n\"Answer: -i**2 + 5*i - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 209\/6 (c) 3 (d) -3\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*h - 1 - 2)*(-26 - 3 + 14)*(-37*h - 48*h + 27*h).\nAnswer: 1740*h**2 - 870*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 88718 and -0.15.\nAnswer: -13307.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 206, 287, 346, 377?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1346968013 plus 5?\nAnswer: -1346968008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155203022 (base 7) in base 9?\nAnswer: 21681648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 1. Suppose 4*f + j = -8. Let h be 0 - ((-3)\/f - 26). Solve -o + 12 = -3*l - 4, -5*o = -4*l - h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-144)\/1710)\/((-2)\/(-5)). Let b = 65\/38 + r. Factor -3\/2*q**2 - 3\/2*q**3 + 0*q + 3\/2*q**4 + b*q**5 + 0.\nAnswer: 3*q**2*(q - 1)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(872\/(-1635))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10a34b - 0?\nAnswer: -10a34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b5 (base 13) in base 11?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 21*o**3 + 11*o**2 - 754*o - 11. Let h(d) = -4*d**3 - 2*d**2 + 151*d + 2. Give 2*a(v) + 11*h(v).\nAnswer: -2*v**3 + 153*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -16*b**4\/3 - 36*b**3 + 182*b**2\/3 + 8*b - 1039. Solve x(l) = 0.\nAnswer: -6, -1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2417185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snr when three letters picked without replacement from {z: 1, k: 2, n: 1, r: 4, s: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -186\/7 (c) 2\/23 (d) 5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(44)\/sqrt(64)) + (-3*sqrt(48)\/sqrt(4))\/sqrt(6))**2 + (sqrt(1936)*4)\/(sqrt(800)*3).\nAnswer: 2 + 22*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and 5985219?\nAnswer: 179556570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1309\/(-70))\/(-11))\/(47\/(-94)).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:17 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1\/4)*m)*m**5)\/(m**(-6)\/m*m\/(m\/(m**(-2\/9)\/m))))\/(m**(-3\/5)\/m**(2\/5))**(1\/5) assuming m is positive.\nAnswer: m**(2461\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 14*m**2 - 5*m - 12. Let b(f) = 42*f**2 - 14*f - 36. Let p(u) = -5*b(u) + 14*n(u). Differentiate p(k) with respect to k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1106661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1880 and -2?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5522.\nAnswer: 2, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 65 = -5*i + 22*f, 5*i - 59 = 3*f. Suppose 0 = -4*x + 22 - 2. Solve -a = -i + x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(57) - (sqrt(513)*1 - sqrt(57)))\/sqrt(3))**2.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5409793 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 38 - 138. Let j = -17 + f. Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83 - -80)\/((-2*4\/1128)\/((-4)\/(-36))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6210285 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, z: 1, o: 1, a: 10, w: 1, p: 3}. What is prob of picking 1 a, 1 o, and 1 p?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25110, 100438, 225988, 401760?\nAnswer: 627754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 3 + 0 + 5. Calculate o(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/4 - (4 + -2). Solve -p*x - 3*d = 21, -x + d = 3*x + 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-3\/5)\/(q**(-4\/7)*q**(-2\/21)*q) assuming q is positive.\nAnswer: q**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060465175 rounded to four decimal places?\nAnswer: 0.0605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - (sqrt(3888)*5 + sqrt(3888))) + sqrt(27))\/sqrt(9).\nAnswer: -70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112122202 - 11201202?\nAnswer: -1201101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-19) + (6\/6042)\/((-174)\/(-5220))?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 - 24 + 24.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 492729\/(-24679) + 1 + (-240)\/232.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438, 443, 448, 453?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g*y - 43*g + 98*y + 2 wrt y?\nAnswer: 2*g + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1118 less than or equal to -1192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -659 + 658.6. Let d = -0.03 - 3.97. Let m = -9 - d. Sort m, t, 0 in ascending order.\nAnswer: m, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3833094758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 9 + (-5 - -4) + 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 14*w + 90. Calculate v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 2*u + 4*m - 15, -2*u = -5*m. Let r = -5 - u. Solve 5*v - 2*v = -9, r*v + 31 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845610.6ng to milligrams.\nAnswer: 0.8456106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u = -16*u + 10416. What is the least common multiple of 279 and u?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 + 2*m**2. Let r(s) = -4 + 3*s**2 - 3*s**3 + 5 - 1. Calculate 3*f(v) - 2*r(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3042)\/12168)\/((-6)\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j - 18 = 0. Let t be (4\/j)\/((-4)\/18). Which is the smallest value? (a) 5 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222426 is divided by 111209.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350144352 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 3, c: 2, j: 5, n: 2}. Give prob of picking 1 c and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 4*s - 12. Let b(q) = q**3 + q**2 - 2*q - 6. Let j be b(0). Let m be (-1)\/s - j\/9. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -152 (b) 2\/11 (c) -0.4 (d) 1\/9 (e) -3 (f) -2 (g) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33429.\nAnswer: 3, 11, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -81141 (c) -0.4 (d) 7 (e) 0.029\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j**(6\/17)*j)\/j)\/j)\/j)\/j**(-29)*j\/j**6*j*j**(-15))**(-47) assuming j is positive.\nAnswer: j**(-6674\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0. Suppose -z*a + 39 = -61. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/24)\/((-1)\/(-2)). Let a(d) = -11*d - 2. Let q(n) = -n**2 + n. Let j(b) = p*a(b) - 3*q(b). Does 5 divide j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 907847*v - 3 + 1.\nAnswer: 907847*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0159046 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 62\/8 - (-1)\/4. Let k = 11 - s. Let q(v) = v - 5. What is the least common multiple of k and q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1162*f**2 + 89*f**4 + 1162*f**2)*(0 - 4 + 0)*(-4 + 1 + 4) to the form c + w*f**3 + j*f**2 + y*f + k*f**4 and give k.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -312836 or -312837?\nAnswer: -312836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/48*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 99*j**3 + 1 + 137*j**3 - 10*j**3 - 42*j**3 to the form g*j**3 + h + z*j + c*j**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**4 - 7*q**3 + 6*q**2 - 3*q - 5. Let v(x) = -5*x**4 + 8*x**3 - 7*x**2 + 4*x + 6. Let g(n) = 6*b(n) + 5*v(n). Factor g(d).\nAnswer: -d*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -45*h**2. Let b(u) be the third derivative of -u**5\/60 + 28*u**2. Determine b(q(t)).\nAnswer: -2025*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - 0.46. Let v = 48 - 70. Which is the nearest to v? (a) -2 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 134235521?\nAnswer: -134235524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/2*(-4 + 2). Let q be 180\/(-22) - (-4)\/g. List the prime factors of 27\/(-6*2\/q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -207*b**3 - 5*b**2 + 6*b + 5. Let c be a(5). Is c\/(-33) + (-8)\/(-44) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 0 + 0)*(-4 + 2 - 1 + (326 - 317 + 287)*(-1 - 12 - 4)) to z*d + h and give z.\nAnswer: 10070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*f - 31 - 31*f - 53*f - 52*f.\nAnswer: -198*f - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (64\/((-352)\/22))\/(-50)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -145030, -145029, -145028, -145027, -145026, -145025?\n\"Answer: i - 145031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 5*f**2 - 4*f - 1. Let u be j(3). Suppose -2*b + 24008 = -2*g, 2*g - 31417 = -u*b + 28624. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) 2.2 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j**3 + 6*j**2 - 39*j - 9. Is 81 a factor of x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 24 - 50)*(-239*h + 371*h + 377*h) in the form k + v*h and give v.\nAnswer: -25959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**9))*r)\/(r*r**1))**(-31)*(r**(-5)*(r*r\/(r\/r**4))\/r)\/(r**(1\/6)*r**(-6)\/r) assuming r is positive.\nAnswer: r**(-1639\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33021 is divided by 826.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(4\/3)*a))\/a**(-9)*(a*a**(-2)\/a)**9 assuming a is positive.\nAnswer: a**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289\/((-10115)\/490)*(-1)\/(4\/(-6)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9150.223ml to litres.\nAnswer: 9.150223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288462990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 897 + -897.0649. Let f = o - -0.054. Round f to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/6 (b) -110561 (c) 0.1 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2846176340?\nAnswer: 2, 5, 7, 31, 103, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 30*i**2 + 85\/24*i**4 + 0*i + 0 + 8\/3*i**3. What are the prime factors of c(2)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -4586\nAnswer: -1\/2293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*r - 10. Suppose 2*h = x + 27, 4*h - 58 = -4*x - 166. Let y = x - -30. Solve r = -y*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.3 + 13.3. Sort h, -0.1, 1\/5.\nAnswer: h, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 1. Let o be b(-7). Let c(r) = 2*r**2 - 9*r + 4. What is the remainder when 87 is divided by c(o)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 22 = -x + 3*g, -x = -3*g + 17. Let j be (-3 - -1) + x + 24. What is the smallest value in j, 0, 4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -27\/4666?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -17*a**2 + 5*a - 5. Let c(m) = 301*m**2 - 80*m + 96. Let q(j) = -j**2 - 2*j - 2. Let h(z) = -c(z) - 4*q(z). Give -5*h(w) + 88*y(w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 24*w**2 - 25*w - 43. Let q be y(-23). Let v(o) = 16*o**2 + 8*o + 1. What are the prime factors of v(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o**2 + 5*o - 17. Let f be z(4). What is the hundreds digit of (f + -1 - 3)\/(5\/(-795))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32192 * -0.5.\nAnswer: 0.16096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2001012212021 (base 3) to base 9\nAnswer: 2035767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -80+-0.0460574\nAnswer: -80.0460574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31005 and 59268045.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*m**2 - m**2 + 2*m**2)*(7 - 14 - 6) + 6*m**2 - m**2 - 4*m**2)*(-4 + 17 - 3)*(-3 + 3 + m) in the form w*m + d*m**3 + v*m**2 + r and give d.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2575, -6, 0.11 in ascending order.\nAnswer: -2575, -6, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 3*p**2 - p**3)*(-4816*p - 22247*p + 6090*p).\nAnswer: 20973*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 12, k: 2}. Give prob of sequence zz.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2572 and 4.5.\nAnswer: -11574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50035666 - -1?\nAnswer: 50035667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**2 + 5*g. Let q(w) = -10*w**2 - 7*w - 8. Let u(n) = 7*n**2 + 5*n + 6. Let p(v) = 3*q(v) + 4*u(v). Determine 4*h(x) + 18*p(x).\nAnswer: -4*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3063?\nAnswer: 612.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -55a1 (base 14) in base 8?\nAnswer: -34771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.96 - 0.04. Let j = -0.061 + 25.061. Let p = 24.5 - j. Which is the second smallest value? (a) -1\/6 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 59991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 23*h**5\/7 - 2692*h**4\/7 + 15711*h**3\/7 - 31498*h**2\/7 + 21764*h\/7 - 888\/7 = 0.\nAnswer: 1\/23, 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5 + 122266519*c**3*t - 37531258*c*t - 2*c wrt c?\nAnswer: 20*c**3 + 733599114*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l - 3*v + 6, 4*v = -5*l + 29. Let j(u) = -u**2 + 8*u + 11. Let h be j(l). Factor 4*r**3 - 2 - 3*r**3 - 4*r**2 - 5*r**h + 5*r**2 + 5*r.\nAnswer: (r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1425))\/(((-2*sqrt(3) - sqrt(3)) + sqrt(3))*-1) - (-2 + (sqrt(475) + 0)*5)**2.\nAnswer: -11879 + 175*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 + 109*p + 971. Calculate t(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -188\/3 (b) 16 (c) 3\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -101 + 52 - 21*v + 58 + 9*v. Suppose -2*d = 4 - 0. Let z(m) = -3*m + 2. What is d*b(g) + 9*z(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/5 + 10\/(-25). What is the hundreds digit of 2*-2 + (-560)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -925, -15\/19, -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422927*p - 422888*p - 468 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 2*z + 95940. Is 41 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 15 = -5*j, -2*j = -3*b - 0*j - 11. Let c(s) = 3*s**2 - 9*s - 10. What is the tens digit of c(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 2*l. Let r(k) = -k**3 - 3*k**2 - 3*k. Suppose -z = -3*z + 4. What is z*r(q) - 3*g(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + -10)*(-4)\/(-4). Let c(l) = -2*l - 2*l**3 + 23*l**2 - 4 + 3*l**3 + 12*l - 3*l**3 - 13*l**2. Let f(p) = -p**2 - p + 1. Calculate o*c(m) - 10*f(m).\nAnswer: 2*m**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*s - 2*t, -5*t - 7 = -0*s - s. Solve -f = s + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - 12*n**2 + 40*n - 237. What is the hundreds digit of f(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 22 = v - 30*m, -5*m = -3*v + 26. Find x such that 2\/7*x**v + 2\/7*x**3 - 2\/7*x**4 - 2\/7*x + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = l - 21*m - 30, -2*l - 3*m - 6 = 0. Solve -10 = -a + 5*u, -4*a + l*a = -3*u + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -2\/27*l**3 + 1\/36*l**4 - 1\/270*l**5 - 3*l**2 + 20 + 0*l. Let q(k) be the second derivative of p(k). What is n in q(n) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -938 or 716?\nAnswer: -938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fifkkinb. What is prob of picking 1 b and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/4*(6\/(-189))\/((-67)\/(-469)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -105*p + 107*p, 5*m - 70940 = -5*p. List the prime factors of m.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(17600\/520))\/((-5)\/(-10))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*q = 4836 - 43476, -23180 = -3*s + q. Suppose 0 = 3*n - s - 18612. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 4, n: 2, k: 2, g: 4}. Give prob of sequence nn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/50)\/(1\/(-5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -0.5 (c) -0.1 (d) 1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2081549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 4 - 4*p**2 + 1\/3*p**3 + p. Calculate k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(-29\/3)\/((j**12*j)\/j**(-2\/5)) assuming j is positive.\nAnswer: j**(-259\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-40)*w*w**26)\/(w**(22\/5)\/(w\/w**27)) assuming w is positive.\nAnswer: w**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*s - 160842 = -164874 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*f + 4*f. Suppose -f = 4*p - 10. Solve -5*n - p - 18 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 i when three letters picked without replacement from zirfizifzff.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose 7*h = i*h. Solve h = -0*m + m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:15 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02206459377 rounded to 6 decimal places?\nAnswer: -0.022065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 73427, 73338, 73249, 73160, 73071, 72982?\n\"Answer: -89*p + 73516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 10*x**2 - 9*x + 6. Let r be m(-9). Suppose 0 = 2*l + 2*h + r, 1 + 12 = -l - 3*h. Suppose -l*j**2 - 3*j + j - 2*j**2 - 4*j**2 = 0. What is j?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:27 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 44*a**2 + 181*a + 31. Does 28 divide o(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1517 - -2417. Let m(o) = n - 900 + 4*o. Let v(b) = 2*b. Determine 2*m(w) - 5*v(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9761 and 64702037?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Suppose 48 = 4*j - s*j. Factor -n**5 + 4*n**2 + j*n**4 - 5*n**3 - 3*n**5 - 7*n**3.\nAnswer: -4*n**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {e: 1, v: 4, k: 2, h: 1, f: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/323 + -653\/2261. Suppose -v + 6 = -2*b + 2*v, 0 = -v. What is the third biggest value in x, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 + 68 + 399*v - 460*v - 680*v to j*v + k and give j.\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142550*n**3 + 795*n + 11.\nAnswer: -855300*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126027, 126000, 125959, 125904, 125835, 125752, 125655?\nAnswer: 125544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56836 + -56833. Factor 2\/9*z**4 + 16\/9*z + 4\/3*z**j + 0 + 8\/3*z**2.\nAnswer: 2*z*(z + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-392)\/(-44) + -6 + (-35)\/(-385). Factor -2\/17*g**j + 16\/17*g**2 - 26\/17*g + 12\/17.\nAnswer: -2*(g - 6)*(g - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/(-3)*(-2 + -2). Let u(c) = -21*c - 12. Does 15 divide u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2 - 950*a - 225625 = 0?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x - 564 = -188*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 22 (b) 0.075 (c) 1 (d) 2\/17 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109281 and 351795.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-1)\/2*-4. Suppose 4*d - 1 = -2*m - 5, 2*m = -d - u. Let q = -32462240\/52300369 - 2\/1803461. Which is smaller: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p**2 - 4\/3*p**3 + 4*p + 8\/3 = 0 for p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101093372 rounded to 4 dps?\nAnswer: 0.1011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/5 of a tonne?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2117 is divided by 2047?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3805786, 7611589, 11417392?\nAnswer: 15223195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 22. Calculate the common denominator of (18\/15)\/(q - 2) and -69\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -3, 0, 3.\nAnswer: -4, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1421, 1474, 1529, 1586?\n\"Answer: b**2 + 50*b + 1370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*a**2 + 1\/6*a**3 + 1\/3*a + 0.\nAnswer: a*(a + 1)*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18134.8 - -18135. Which is the biggest value? (a) -3\/2 (b) 3\/2 (c) 2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 230*z**6 - 10*z**3 + 2288*z**2 - 10. Let m(v) = v**6 - v**2 + 2. Let l(i) = 5*m(i) + u(i). What is the third derivative of l(g) wrt g?\nAnswer: 28200*g**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438*z**3 - 50*z - 446*z**3 + 4*z wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 1710 = -5*u. Let k = -88 - u. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83.647171278 + -1851350.352858722. Let l = b - -1851481. Let p = l + -47. Round p to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**5\/20 - t**4\/8 - t**3 - 3*t**2\/2 + 2*t. Let p(n) be the first derivative of o(n). Factor p(m).\nAnswer: 3*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1574*w**3 - 3*w**2 - 5629*w?\nAnswer: -9444*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43001 - 40232?\nAnswer: -133233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhhogghooh. What is prob of picking 1 g and 1 o?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35549\/20 + 1848671\/1040. Find the common denominator of -23\/6 and z.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-6) - (-30)\/(-10)) + 0 + 176\/40?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c - 129 = -69*c. Let a = 48 - c. Suppose 3*t + 45 = 5*z + 371, -a = -z. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286074 and 927.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 494124797 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -104. Solve 0 = v + 3*m + 7, 3*v + v = -j*m - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546 times 0.05?\nAnswer: -27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 - 25*i - 15. Let t be w(-7). Suppose -t*s + 28*s - 30 = 0. Solve 2 = -s*u - 0*a - a, -2*a - 8 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -9 + (6\/56 - -2). Let l(x) be the first derivative of -4\/7*x**3 + 12\/7*x + 2 - 3\/14*x**2 + n*x**4. Solve l(k) = 0 for k.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 - 5*m + 4. Let g(h) = 6*h**2 - 6*h + 5. Let p be (7 - 6) + 3*-2. Let c be (-3)\/(p\/(-4) - 2). What is c*g(k) - 5*n(k)?\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276 divided by 69.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003808822 rounded to 5 decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*d**2*f**2*g*q + d**2*f*g**3*q + d**2*f*g*q + d*g**2*q + 1593*f**2*g**3*q**2 + 2*f*g**2*q**2 wrt g?\nAnswer: 6*d**2*f*q + 9558*f**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/306888 and 101\/306888.\nAnswer: 306888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*s + 2. Suppose -152 - 68 = -s*o. Calculate the greatest common factor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 10*z + 3. Let y be u(-5). Let n be ((-151)\/(-5))\/((-24)\/10). Let v = -37\/3 - n. What is the second biggest value in y, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2202 and 14424.\nAnswer: 5293608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 11 = y + 2*o, 0 = 2*o - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (95\/2 - 1)\/(-6). Let q = 29\/4 + r. Let w be -1 - 4\/6*6. Which is the closest to -1? (a) 2\/7 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2 - u**3 - 5 + 7 - 4 + 4*u**2. Give s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-24)\/9 - (-473756)\/102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15*k**2 + 84*k - 932. Let o(h) = 3*h**2 - 14*h. What is -j(q) - 6*o(q)?\nAnswer: -3*q**2 + 932","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329*f**3*x**3 + 2*f**3*x - 249*f**2 + 82*f*x**2 - 4*f*x - 106*f + 3*x**3 wrt x?\nAnswer: 1974*f**3*x + 164*f + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 235 + -459\/2. Let z = v + -3. What is the common denominator of z and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -336cd483 + 0?\nAnswer: -336cd483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + (1 + -5 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -22*k**2. Let q(f) = 12*f. What is o(q(y))?\nAnswer: -3168*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 0, 15*s = 11*s + 2*a + 156. Calculate the highest common divisor of s and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1354 + 0*n**2 + 1358 + n - 2*n**2 - 4*n**2 + 0*n**2 + 6*n**2 - 4 + n**2 + 4 + n**2 - n**2 - n**2 + (n**2 - 2*n**2 + 3*n**2)*(2 + 0 - 1).\nAnswer: 2*n**2 + n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1216 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.3, 3.74?\nAnswer: 3.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 9 + 15. Suppose 5 = -5*n, j*d + 5*n + 640 = 8*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1428 = 62*b + 35*b + 22*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let q(i) = -a*i**2 - 5 + i**2 - i**3 + 6*i**2 + 2*i. Calculate q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6097 divided by 4382\nAnswer: -871\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1030 and 31\/20.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbbb when four letters picked without replacement from abbbsbblbblllbo?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*z - 3*d, -4*d = 2*z + 30. Let l = 4 + z. Calculate the lowest common multiple of 24 and l\/(27\/14 + -2).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = 2*u + 16, -42*u + 46*u + n + 21 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 302, 347, 426, 551, 734, 987?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 - (-40 - (2 - 67))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10067113 (base 8) to base 4.\nAnswer: -20012321023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j - 4*j - 2*j. Let b(l) = 3*l. Let p(s) = -s. Suppose 8 = -7*a - 48. Let m(n) = a*p(n) - 3*b(n). What is m(f(z))?\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u. Let c(f) be the second derivative of -f**6\/720 - f**4\/12 + 4*f. Let h(z) be the third derivative of c(z). Give h(k(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1119*m. Let i(p) = p. Determine i(k(z)).\nAnswer: 1119*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -52, -69, -88, -109?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22198 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udwn when four letters picked without replacement from lduslwns.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12824 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6308*i + 4. Let m = 19 + -6. Let l be c(m). What is l rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*g - 318 - 745 - 324*g.\nAnswer: -214*g - 1063","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p**2 + 1. Let m be l(-1). Let f be (17 + -12)*(1 + 0). Sort m, -2, f in ascending order.\nAnswer: -2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 2*v + 2. Let x(i) = -3*i - 7. Let p(o) = -8*o - 14. Let q(t) = -2*p(t) + 5*x(t). Let k = 58 + -55. Let m be q(k). Calculate f(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2.3 (b) -3\/4 (c) -5\/7 (d) 2 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110531.315 rounded to the nearest ten thousand?\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30825620.\nAnswer: 2, 5, 7, 421, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2601 + -0.7399. Which is bigger: -468 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/4 - (-3)\/(-6). Is -1*1*(x + -13) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/9)*f)\/(f*f**8))**(-31) assuming f is positive.\nAnswer: f**(2015\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 291 = -4*l + 2163, -2*l = 6. Calculate the highest common factor of d and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(3 + 4 - 11)*(3*l**4 - 5*l**4 + l**2 + l**2).\nAnswer: -16*l**4 + 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741*g - 1230 = -618*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/7 (b) -2418 (c) 1 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44a545 (base 14) to base 13\nAnswer: 639146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9743 = 5*a, -10*q + 4*a = -13*q + 7306. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)\/((j**(9\/8)\/j)\/j*j*j*j))\/(j**(-11)*j)**(-16) assuming j is positive.\nAnswer: j**(-1295\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26804, 26797, 26790, 26783, 26776?\n\"Answer: -7*f + 26811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -629375 divided by 5.\nAnswer: -125875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tym when three letters picked without replacement from {y: 1, t: 2, u: 1, m: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-120))\/(3\/15)*5304\/(-544).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -270*o**3 - 9*o**2 - 5*o + 6. What is the tens digit of w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2970136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 47 + 108)*(-2*z - 3*z - 6*z) - 2*z + 2 - 2.\nAnswer: -134*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -1\/2*x**3 - 1\/2*x**2 + 25*x + 0. What is the derivative of a(k) wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195.902 - -196. Let m = t - 0.278. Is m != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/1186 - 17191\/2372. What is the common denominator of r and -37\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnwtncnnnnnnwnhnwnc. Give prob of picking 2 c.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + -17 + (-3 - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 3:37 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42 (b) 14 (c) -1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -s - 460, -5*s - 6*n = 2041 + 164. Let d = s - -439. Solve l + 4*x = -d*l - 9, 5*l = x - 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 1:12 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-8) - (-18)\/8. Suppose -2*g + v + 46 = 2*v, l*v - 42 = -2*g. Suppose 3*c + g = 114. What is the remainder when c is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12)*-3*-6).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**(-1\/2)))\/(j*j**(-3))*(j*(j*j**3)\/j*j*j)**(-7) assuming j is positive.\nAnswer: j**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 1. Let k be o(4). Suppose 13 + 7 = 2*p - k*g, 3*p - 30 = -3*g. Suppose 241*b = 255*b - 252. What is the least common multiple of b and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 + 14 = 3*n. Let m be (n\/(-4))\/(-24*6\/12). Let i = m + -53\/24. Which is greater: i or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.848 and 0.1.\nAnswer: 4.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113371340 and 6820?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4) + 1 + (-17 - -23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17488 + 5832 + 5830 - 29452*h + 5826 - 4 - 3*h + 4 + (-3 + 2 + 3)*(-2*h + 4*h - 4*h).\nAnswer: -29459*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18135 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 25*m + 2. Determine t(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -5. Let v be (x - 0)\/((-4)\/116). Suppose 0 = -4*b + 3*o + v, -3*o + 30 + 29 = 4*b. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -65, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1367, 2742, 4133, 5546, 6987?\n\"Answer: d**3 + 2*d**2 + 1362*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6261258655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 13*k**2 - 12*k - 3. Let w be m(-12). Let z be 6 + (2*-3 - w). Solve 14 = z*o + 5*s - 3*s, o - 2*s = -6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*n + 101, x - 27 = 2*x - 2*n. Let z = x - -40. Let j(a) = -a**2 + 10*a + 21. Calculate the lowest common multiple of z and j(9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -4, -2, 1334284\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4) - (-10)\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8507062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 36*y + 3. Suppose 117*i + 1548 = 31*i. Determine a(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -1687, -4, -6, 5 in ascending order.\nAnswer: -1687, -6, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 7:47 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -17070000 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109120832453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 86*k + 85*k + 85*k - 12*k**4 - 253*k + 4 as w + t*k**3 + l*k**4 + u*k**2 + j*k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 22. Let l be b(8). Let d(o) be the second derivative of -2*o + 0*o**l + 1\/12*o**4 + 0 + 2\/3*o**3. Determine d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.570003 micrograms to nanograms.\nAnswer: 2570.003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148323?\nAnswer: 3, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 - (-1 + -9). Let p be (-2)\/8*-4 + -1. Suppose -2*l + 3*w - w + 38 = p, -l = -4*w - 4. Calculate the highest common divisor of l and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (4 - (16 - 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2256608*d**4 + 2*d + 5958642 wrt d?\nAnswer: 9026432*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 0*q - 31 + 3*q to the form s*q + d and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*2\/10*195\/(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.0731 decades in years?\nAnswer: 4250.731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i - 4. Let l = i + 3. Suppose b - l = -b. Calculate the greatest common divisor of 3 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1434 - 1379. Calculate the greatest common divisor of b and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4 - 103*f**3*w - f**3 + 68*f**2*w - 4*f**2 wrt f.\nAnswer: 24*f - 618*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6*t - 21 = -3*v, -4*v + 11*t - 46 = 0. Solve -w - 1 = q, 4*w - v*q + 158 - 172 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45067752281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 5*s - 1, s - 37 + 17 = -s - 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -50*q - 4. Let n be c(-1). Suppose 2*m + 2*m - 30 = d, -3*d = 5*m - n. Let g(v) = -v**2 + 9*v - 1. What is g(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2380 and -57\/1268800.\nAnswer: 150987200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21322705 + 3?\nAnswer: 21322710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11048?\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2 - 2 + 4 + f + 2. Let m(z) = -14 - 37 - 17 + 63. What is -5*m(i) - 4*y(i)?\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2374668 and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 0*u**2 - 104 - 19*u**4 + 0*u - 35\/3*u**3. Find the third derivative of g(c) wrt c.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 156*(-3 + (-65)\/(-15)). Find the common denominator of (0 + (-87)\/(-132))*6 and ((-62)\/(-10))\/(a\/(-65)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -140.120742 to 0 dps.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgryggyyttgt. Give prob of sequence yr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 0.1471878.\nAnswer: -1.471878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30659 is divided by 74.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*(2691\/26)\/23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -19, -16, 7, 62, 161, 316, 539?\n\"Answer: 2*o**3 - 8*o**2 + 5*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkwu when four letters picked without replacement from {u: 3, w: 3, k: 13}.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011 (base 3) to base 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 9 = -z, 0 = 4*z + 7*n - 4*n - 71. Suppose 3*r + z = 3*x - 7, 3*r + 2*x + 16 = 0. Let p = r - -125. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = -4. Suppose -3*x + 4*t - 1 = 0, 1650*t = 1652*t - 8. Put v, -2, x, 0 in descending order.\nAnswer: x, v, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 16*b**2 + 6*b - 9. Let s(o) = -31*o**2 - 10*o + 17. Calculate 5*l(c) + 3*s(c).\nAnswer: -13*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 738 divide 127360537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + t = 1, 7840*t = c + 7835*t + 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 228*p**6\/5 - 1099*p**4\/4 - 5032*p. Find the third derivative of n(l) wrt l.\nAnswer: 32832*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**3 - 5*k**2 - 5*k. Suppose -1089 = 6*s - 1065. Let z(l) = -4*l**2 - 3*l**3 + l**3 - 4*l + 5*l**3. What is s*u(q) + 5*z(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54616 or -54597?\nAnswer: -54597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-1122)\/47124).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015749243 rounded to six decimal places?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 + 2 + -3 + 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1555130 (base 6) to base 8\nAnswer: 265736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/12 and 29\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*u)*(-4*u + u + u)*(-2*u**2 + 3 - 3) - 2*u**4 + 0*u + 0*u.\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, -130\/157, -383, 0.3?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-17 + 9 - (-3 + -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 41?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2569120 - 18*m - 4*m - 2569120.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 9, i: 2}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, 9, 38, 85, 156, 257, 394, 573?\n\"Answer: u**3 + 10*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 40 - 80 - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.1. Suppose -5*v + 28 = 8, -5*v + 59 = -t. Let u = t + 118\/3. What is the second smallest value in u, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 24*y**2 - 742*y + 204. Calculate s(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02237182 - -348909\nAnswer: 348909.02237182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 11 = -2*l, -p + 16 = 2*l + 3*p. Suppose -2*n + l*g = 5*g + 22, 3*n - 1 = 4*g. What is the closest to -2\/3 in 1\/8, n, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(-7*q**3 - 33*q**3 + 0*q**3).\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*w + 1. Let l(s) = -8*s + 7 + 6*s + 5*s + 0*s. Let z be l(w). Sort 4, 3, z in increasing order.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x + 272. Let y be u(30). Solve 9*s = -y*s + 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*-1*2\/1. Let z be 2\/9 - 2232\/(-162). Suppose -z*b - 97 = -125. Solve -x - y*u = -2*x, b*u + 16 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 36*j + 6. Let z be u(-2). Let t = -48 - z. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142667795 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 66*w**2 - 98*w - 2092. What is a(-67)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162027 and 3996666?\nAnswer: 11989998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*h + 244, -3*h - 3*n = -8*n + 374. Let g = 113 + h. Let z(j) be the second derivative of -j**3\/6 + 3*j**2\/2 - j. What is z(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-44)\/(41184\/182)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-14)\/n*n*n*n\/(n**(6\/7)\/n)*n assuming n is positive.\nAnswer: n**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-7) + (-390)\/(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 47*t - 24. What is the hundreds digit of p(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89367, 89187, 88883, 88455, 87903?\nAnswer: 87227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 20*q - 17*q = 15376, -2*o = -2*q + 7692. Is o less than or equal to -3839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 divided by 23?\nAnswer: -203\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -4. Let s = -0.13 - -7.13. Let w = -7.4 + s. What is the nearest to b in w, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2533985 or -2533989?\nAnswer: -2533989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(-3 + sqrt(125)*1 + (-4*sqrt(125) - sqrt(125)) + -4))**2.\nAnswer: 360*sqrt(5) + 2081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-14))\/(-1) + (-30)\/(-7). Suppose -10*k - j = -12*k. What is the units digit of (7\/7)\/((-2)\/(-184 + k))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8, -5*d + 0*c - 2*c + 2129 = 0. Let q be (-4)\/(-34) + 800\/d. Solve 3*p = -m + 11, -18 = -q*m - 0*m - 5*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 62082\/12415 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 10*w - 3. Let f be l(10). Let r(m) = -20*m - 4. List the prime factors of r(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78536 or -78658?\nAnswer: -78658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0 = 12. What is the highest common divisor of l and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18148 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2193098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 50d3 (base 15) to base 4\nAnswer: 10022301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50.4 - 89. Let s = 38 + d. What is the third biggest value in -2\/3, s, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1291153\/123 + -10497. Calculate the common denominator of r and 101\/6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icd when three letters picked without replacement from llvuccivdvdllvl.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 65. Calculate the remainder when 97 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.5289 rounded to 1 decimal place?\nAnswer: -38.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 13) + 143 + (-209 - -56).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*u - 4, 0*g = -2*g + 5*u + 11. Let s(n) = 7*n - 1. Calculate s(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 233031022?\nAnswer: -233031015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 6859*f\/2 - 429393.\nAnswer: (f - 123)*(f + 6982)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - c**4 - 3)*(-4 + 1 + 14) + 73467*c - 73467*c + 259*c**4 to t*c**4 + j*c + k + i*c**3 + r*c**2 and give t.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((16\/(-4))\/(-4)). Suppose u*n - 1434 = -62. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/19 - -25\/38. Solve 1\/2*i**3 - j*i - 1 + i**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 19*z + 212. Suppose -23*a = 271 - 18. Let i be b(a). Solve -i*v = -6*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-9 - -5 - -11) + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from jqjjfjjlfqqfqtjt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1144, -4568, -10274, -18262, -28532, -41084?\nAnswer: -55918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 567, 2, -1, 3, -23, -10.\nAnswer: -23, -10, -1, 2, 3, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -56b0?\nAnswer: 56a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/h**(-6))))**(-3\/2) assuming h is positive.\nAnswer: h**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/((90\/35)\/6)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975042?\nAnswer: 2, 3, 19, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/2900436 and -1\/3142139.\nAnswer: 37705668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 9609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -35060 in decreasing order.\nAnswer: 4, -5, -35060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -14.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 3:42 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 232*u**3 - 233*u**3 + 243*u + 721*u + 604 + 771 + 268 wrt u?\nAnswer: -3*u**2 + 964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/12 + (-19)\/3 + (-515)\/(-103). Solve p = -14*v + 17*v + 15, -14 = -3*c + v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 839 = 2*t + 3*v, -4*t = 5*v - 284 - 1391. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12859*a**3*s + 194*a**2*s + 37*a**2 + 135*a*s + 575278*s wrt a.\nAnswer: 77154*a*s + 388*s + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1204*d + 10676. What is h(9)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 q, and 1 e when three letters picked without replacement from teeeeqttrrqtstje.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 252\/12*(-22)\/4*2. Is g\/(-3) - (-1 + -2) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -173, -603, -1321, -2327, -3621, -5203, -7073?\n\"Answer: -144*l**2 + 2*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3 - 2862325*d**2 - 409652376000*d - 2048190322500 = 0. Calculate d.\nAnswer: -286230, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4063, -8103, -12143?\n\"Answer: -4040*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1264555 (base 7) to base 5.\nAnswer: -20323301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 1 + sqrt(2057))*3 + sqrt(2057) + -1 + -4 - 3*(5 + (sqrt(2057) - 1*sqrt(2057))))**2.\nAnswer: -2618*sqrt(17) + 101082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 438*t**3 - 23*t**2\/2 - 77*t. Is m(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 76 = 5*a - 2*a, 0 = 4*r + 5*a - 66. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - c)*(c**2 - c**2 - 2*c**3) + 5*c**4 - 2*c**4 + 2*c**4 - c**4 - 17*c**4 - 10*c**4 to u*c**2 + d*c + o + v*c**3 + q*c**4 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, k: 2}. Give prob of sequence kk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 487*d + 15092. Calculate o(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104306*b**2 + 104619*b**2 + 7*b**3 - 15*b**3 - 208925*b**2.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13202101 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*j = -107*j - 45, -4*a + 5269 = j. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 281754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbb. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 3:03 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 215536268 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 125*q**3 - 245*q**2 + 115*q + 5 = 0.\nAnswer: -1\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -3\/142553 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/341? (a) 6 (b) -2\/5 (c) 4\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5623*l - 19*l**2 + 2814*l + 2808*l - 54.\nAnswer: -19*l**2 - l - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 164, 330, 482, 614, 720, 794?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 - 25*y - 165. Let u be j(-9). Let z = -373 + u. Suppose h = -3*g - 2, -2*h = -h - 3*g - 4. What is the highest common divisor of z and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -3*h + s + 31, 4*h - 234 = 2*s. What is the greatest common factor of h and 2388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 590602291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 10 = q. Suppose 3*t = -2*g + 166, q*g - 4*g + 182 = -5*t. Suppose 268 = 3*y - g. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34274402 or -377018434\/11?\nAnswer: -34274402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48841 and 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 17*r - 2*v = -20, -4*v = 5*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from jsssssrsssssss.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b (base 14) in base 5?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.381 times 0.54381?\nAnswer: 0.75100161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 11*k = -15. Suppose 2*t - 12 = z + 5*t, -k*t = 15. What is the remainder when z is divided by ((-8)\/6)\/((-76)\/171)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8595787 is divided by 755?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, d: 4, x: 2, g: 1, h: 4, e: 6}. What is prob of picking 1 d, 1 z, and 1 h?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 1. Let y(v) = 253*v - 1. Give 2*k(g) - 2*y(g).\nAnswer: -502*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-14)\/(-3) - 4). Sort 3, s, -5, -2 in descending order.\nAnswer: 3, -2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26023442804972 + -0.2\nAnswer: -26023442804972.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 13. Let s be (-4)\/6 + (-10)\/3. Let b be q(s). Let z(m) = 2*m - 4. Let g(c) = -2*c + 4 - c + 2. Calculate b*g(r) - 8*z(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 411 + -2534?\nAnswer: -2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.54 - 250.46. Let l = -251.1 - g. Let s = 0 - 0. Which is the nearest to s? (a) l (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3235108675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 269*l**2 - 5670*l - 97332 wrt l?\nAnswer: 538*l - 5670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541537503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 43. Suppose 3*t = -5*n - 27 - 42, -5*n - 105 = 5*t. Let s = t + q. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -4*j + 164 - 112, -4*u - 13 = -j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/12 - (-284)\/(-60)) + (-30)\/50.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*(-13845)\/3299725.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 - -4 - (4 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7193211 - 884955. Let r = c - -8078165.39999728. Let x = r - -0.6. What is x rounded to 7 decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 5*a**2 + 3*a + 1. Let j(g) = -g**2 - 35*g - 38. Let p be j(-34). Determine n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**4\/8 - 5584*u**2. Let r(i) = 316*i**2 - 2. Determine r(g(c)).\nAnswer: 2844*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 0.6\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2 - 15520*q + 108689 = 0.\nAnswer: -15527, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -900551*c**3*j**2 - c**2*j - 405*c + j**2 - j + 1 wrt c?\nAnswer: -5403306*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -213103 (base 4) in base 16?\nAnswer: -9d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2814 + 4217. Does 68 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -219, -255, -361, -573, -927, -1459, -2205?\n\"Answer: -6*l**3 + l**2 + 3*l - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 44*p - 30. Let m be w(-2). Which is smaller: -120 or m?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-9 - -7) - (-6 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4. Let d be (74\/8 + c)\/(1\/4). Let h = 202 - d. What are the prime factors of h?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 3 - -1) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.4, -14, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 35 = -16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 37*g**2\/2 + 248*g + 91. Let s be y(-7). Put -2, -18, s in decreasing order.\nAnswer: -2, s, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/341769 or -1?\nAnswer: 1\/341769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 7 (c) 6 (d) 0.2 (e) -1\/14 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1121825 and 775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -23*q - 19. Let o = 822 + -823. Let h be r(o). Factor -2\/3*z + 1\/3 + 2\/3*z**3 + 0*z**2 - 1\/3*z**h.\nAnswer: -(z - 1)**3*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 7. Find the second derivative of 2*y + 13*y + v*y + 38*y**2 wrt y.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5*p**2 - 5 - 5*p**2 + 2 + 0*p**2 - 4*p**2.\nAnswer: -4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*m**2 - 144*m**2 + 546*m**3 + 37*m**2 + 203*m + 37*m**2 + 26*m**2 wrt m.\nAnswer: 3276*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(8\/7)\/(b*b**6))\/((b**(-2\/9)\/b)\/(b*b*b**(-8))) assuming b is positive.\nAnswer: b**(-670\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Let x(w) = -w**2 + 5*w - 2. Let v be x(5). Let c = 3 - 6. Sort c, v, t in descending order.\nAnswer: t, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676741 - 5*y + 4*y - 676754.\nAnswer: -y - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10444 greater than or equal to -10463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.07 - -0.63. Let j = 0.7 - z. What is the second biggest value in 0.4, -2\/15, j?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-28) - 572\/14. Let i(x) = -42*x. Let g be i(1). Let h = g - s. Which is the biggest value? (a) -0.5 (b) h (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/3 + 10*r**2\/3 + 26*r\/3 + 14\/3 = 0?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**7)*k*k**(-6)*k)\/(k**0)**(-2\/9) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327347\/11 - 29788. Let r = o - -29. Is r bigger than 2\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 2\/3*g**4 + 1\/20*g**5 - 9*g + 5\/6*g**3 + 0 - 3\/2*g**2. Determine y(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81775 + 365651 + 34068 = 39*r. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -8610876325559?\nAnswer: 8610876325556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48685489?\nAnswer: 1297, 37537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35914 is divided by 285.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**6\/120 - y**5\/60 - y**3\/3 + 18*y**2. What are the prime factors of i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 17 + 19 - 220*l**2.\nAnswer: -220*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 4)*(0 + 12 - 2)*(-10*o - 5 + 5) as h + s*o and give s.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, 1, 26\/3, 2\/135?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(228)\/sqrt(192) + (sqrt(76)\/sqrt(36) - sqrt(19))*-4)**2.\nAnswer: 23275\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 1. Let i(b) = 21*b**3 - 3*b**2 + 18. Let g = -14 + 15. Let h(f) = g*i(f) - 18*l(f). Factor h(n).\nAnswer: 3*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 + 10*o + 20. What is z(10)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 f when three letters picked without replacement from {o: 2, n: 2, f: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 12:55 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/63 and -81\/70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 7:14 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3))**(3\/40)*(w**(-2\/3))**(-12\/7) assuming w is positive.\nAnswer: w**(313\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, -76339, -3\/5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*d + 77*d = 185*d - 380 + 2200 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*d - 22 = 0, 0 = 2*p + 2*d - 4*d - 16. Suppose -p*f - 1 = 5*r - 2, -55 = -5*f + 5*r. Suppose -4*h - 6 = -f*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3696 divided by -1848?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445419863?\nAnswer: 7, 23, 2766583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h**2 - 9*h**2 + 9*h**2)*(h - 6*h + 2*h) - 3*h**3 + 2*h**3 - 3*h**3 + (6*h - 4*h + 0*h)*(0*h**2 - h**2 + 0*h**2) - 5*h**3 + 4*h**3 + 0*h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 628618.\nAnswer: 42\/314309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -240 - l**2 + 111 - 1039*l + 129 as m + k*l + v*l**2 and give k.\nAnswer: -1039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.002385 - 374.\nAnswer: -374.002385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -131.\nAnswer: 40\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (309 + 19 + 9)*(0 + 2 + 0)*(-h**2 + h**2 - h**2).\nAnswer: -674*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2497614 is divided by 624403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6352 = 45*c + 7207 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*k + 199, 0 = 2*m - 4*k - 88 + 14. Calculate the remainder when m is divided by (-2)\/(-10) + 3536\/170.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.666634 kilometers to nanometers.\nAnswer: 5666634000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 6. Let w be q(-4). Let g(f) = f**3 - 5*f**2 - 8*f + 7. Let t be g(6). Sort t, w, -4 in descending order.\nAnswer: w, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 229*r + 33301. Give s(102).\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gogccgg. Give prob of picking 1 o and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -714 or -2178787?\nAnswer: -2178787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18305423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d6 - -30?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33134*i + 31077 wrt i.\nAnswer: 33134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 1. Let q be o(-4). Suppose m = 2*f + 3 - 2, q*f = 10. Suppose 30 = 2*r - 4*n, m*r - 4*n + 0*n - 93 = 0. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/110)\/(3\/33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/7)\/((-35)\/(-245)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1711, 4682, 9633, 16564, 25475, 36366?\n\"Answer: 990*q**2 + q + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 262 times -6\nAnswer: -1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.62 - 0.32. Let z = -3.7 - j. Let v = -5.2 - z. Which is the third biggest value? (a) v (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*5\/((-5 - -8)*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5287 is divided by 139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 41 + 17. Let w = o + 82. Let t be w*8\/(-12)*-9. What is the greatest common divisor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(14\/112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-4)\/(-11)*28866\/(-408)) + -10?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11766*-3.\nAnswer: 35298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -4) + 9 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3100002487 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 11*p - 17*p + 6*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1641)\/(-5) + (-15)\/(225\/(-12)).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 455132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 11:15 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 39471*c**2 + 78933*c - 39465.\nAnswer: 3*(c - 13155)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frr when three letters picked without replacement from aeerrarref?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-65016)\/(-728) + -82?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1800) - sqrt(1800)*2 - sqrt(1800).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 13*h + 15. Let p = 17 - 7. Is x(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 2*d + 4*d)*(117*d**2 + 149*d**3 - 92*d**2 - 44*d**2) to l + n*d**2 + s*d**3 + w*d**4 + v*d and give s.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -106, -146, -166, -160, -122?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1131 - 541?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 583031949 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, a: 2, l: 2}. Give prob of picking 2 l and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 8*c**2 + 2*c + 6. Let h be a(4). Suppose 0*d + 3445 = 5*d. Let u = h + d. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*w**2 + 482\/5*w - 484\/5.\nAnswer: 2*(w - 1)*(w + 242)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 37. Which is the nearest to n? (a) 0 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(z - 4*z + z) - 3*z + 0*z + 5*z + (6*z - 4*z - z)*(-1 - 1 + 4) + 2*z - z - 2*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 635 + -616. Suppose j*l + 132 = 31*l. Solve -8*a = -l*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 4:23 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -3, 3 in ascending order.\nAnswer: -113, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/10 + (-3)\/(-5). Let o = 70.1 + -65. Let g = o + -5.5. Which is the closest to -1? (a) g (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.28 + 0.02. Let x = w - 7. Sort 2\/7, 5, x in increasing order.\nAnswer: 2\/7, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -19\/10 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14742 and 45578.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949974 is divided by 5828?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 - (30 + -7 + -32 - (-3 - 0)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 3640*r**3\/3 + 1445*r**2 - 162. What is the second derivative of p(t) wrt t?\nAnswer: 7280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 3*b**2 - 3*b + 3. Let j(o) = 7 - 7 + 1 - 5*o + o**2 + 4*o. Calculate -4*d(n) + 12*j(n).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 1, m: 1, l: 1, g: 2, r: 1}. What is prob of picking 4 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001 (base 2) to base 12.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -30*w. Let p be b(-1). Let i = p - 18. Calculate the smallest common multiple of 18 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 9*f**2 - f - 7. Suppose 0*c = -6*c - 54. Let m be x(c). Let l be -2*m\/(-12) - 110\/(-30). Solve 5*w = l*p - 19, -w = p - 3*p + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7464 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-264) + (-68)\/(-22). Let q(l) = l**2 + 4*l + t*l - 11002 + 11001. Determine q(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 + (-2)\/(-4). Suppose c = -d + 3 - 41. Let l = -26 - d. What is the least common multiple of l and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.124 + -0.053. Let f = k + -0.07. What is f rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b + 3. Let p be i(-1). Solve -11 = -4*y + 3*z, 4*y + p = -z - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2. Let d(p) = 20*p**2 - 11. Let y(v) = 4*v**2 - 2. Let n(m) = 6*d(m) - 33*y(m). Determine 8*f(l) + 3*n(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-6 - -2) + -5 + -7 + -8 + 18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 843, 1688, 2533, 3378?\n\"Answer: 845*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1840 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/823 + -32165\/13991. Let b = q - -1270\/561. Does b = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 + 202. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*j - 0*o - 392, 2*o = 2*j + 264. Calculate the remainder when 20 is divided by (6\/(-4))\/((-1128)\/j - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-399)\/(-42))\/(-19)*24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-657082)\/28 - 32\/48. Let a = k + 23465. Calculate the common denominator of 2\/((-48)\/262) - -2 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:57 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/3 + 76*t**2 + 1683*t - 5278\/3 = 0. What is t?\nAnswer: -203, -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4907420*n**3 - 4907416*n**3 + 9814834*n**3 + 37*n.\nAnswer: -2*n**3 + 37*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -170.7 - -29.\nAnswer: -141.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 6:57 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 3*o**2 + 1. Give c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-9)\/r*r*r*r)\/((r**(-20)\/r)\/r))\/(r**(2\/39)*r*r\/(r**(-20)*r)) assuming r is positive.\nAnswer: r**(-197\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18069 or 17993?\nAnswer: 17993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19953673?\nAnswer: 23, 331, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a + 4*h + 8 = -51*a, -2*a - h - 14 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 - -7) - -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3538 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57226759 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(m + m - 4*m - 4*m + m + 4*m + (0 - 5 + 3)*(-5*m + 4*m + 3*m))*(m + 5*m**2 - 3*m**2 - 4*m).\nAnswer: 10*m**3 - 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - -2.06. Let w = -30 + 27.4. Let r = 0.4 - w. What is the smallest value in 4, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, 0.4, 5, 2\/9 in decreasing order.\nAnswer: 5, 0.4, 2\/9, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d - 29 = -5*z, 5*z = -3*d + 11. Let s = z + 1. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 14*t - 5. Let g be j(4). Let p = g - 20. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f + f - 3*f)*(-233*f**3 - 549 + 549) - f**4 + 0*f**4 + 0*f**4 to z*f**3 + v + w*f + r*f**2 + o*f**4 and give o.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-279)\/2418*(1690\/(-1080))\/(-13).\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 114010000\/39*(30 - 0). What is n rounded to the nearest one million?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.69 - 4.49. Which is the third biggest value? (a) 82 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6013)\/(-16380) + (-444)\/962 - 5\/(-100)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -5 (c) 3\/866 (d) -2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*j - 3614, 2411 = 503*j - 499*j - 3*k. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2240452 (base 6) to base 13\nAnswer: -3ccb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1088)\/(-184) - (2 + -1)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g**5\/5 + 2164*g**4\/5 - 1708*g**3\/5 - 11668*g**2\/5 - 9696*g\/5 - 1872\/5 = 0. Calculate g.\nAnswer: -78, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-92)\/(-5) + (-2)\/5. Let h = 87 + -99. Let u = a + h. What is the highest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14430 or 14423?\nAnswer: 14430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104064642 divided by -846054.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -337559661 + 8.\nAnswer: -337559653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4))\/s**(-4\/3)*(s**(-2\/5))**(-26)*(s**1*s)**(-40)*(s\/s**(-4))\/(s**(2\/7)*s) assuming s is positive.\nAnswer: s**(-7093\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1561018.\nAnswer: -6244072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -0.1. Suppose -3*m = -3*k + 2361, -4*m + k - 110 = 3026. Let o be m\/(-216) - (4 - 0). What is the third biggest value in -1\/34, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i - 4 + 4)*(74*i**2 + 194 + 76*i**2 - 152*i**2) to o*i**2 + u + v*i + q*i**3 and give v.\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(60\/7911) - 52\/130. Solve 527 = -4*u + k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*o**2 + 70*o - 214*o**2 - 70*o + 1909*o**4 - 806*o**2 wrt o.\nAnswer: 45816*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from nnqinnnmnnnimb.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609 and 15747.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 320\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7. Suppose i = -7 + q. Is (4\/i)\/(18\/(-2403)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/5, 4, 0.19, -1\/3, 0.3, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 + 115423562?\nAnswer: 115423526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52644701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950 = -a + 3*u, 4*u - 4786 = -5*a + u. Suppose -2*o = 5*y - 3610 - 4617, -3289 = -2*y + o. Let s = y - a. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 32*z - 19 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 725056\/5 < 145010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262383731 is divided by 3205.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - y - 1 = 0, -3*z - 7*y = -4*y - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 - 8 = 0. Solve p*w - 1 = 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1583 - -1579. What is the third smallest value in d, -73, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1897*y + 978*y + 91116 + 87134 = 0 for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*h - 2 + 1330*h**2 - 153*h + 37*h + 54*h.\nAnswer: 1330*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103421 times 1?\nAnswer: -1103421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1480 by 3.\nAnswer: -1480\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-3) - (1 - 1). Suppose 2*h = -5*g + 26, b*g - g = -4*h + 28. Suppose -14 = v - h*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 24, -13\/27?\nAnswer: -13\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43608574 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2. Let d = 49 - 47. Let b(f) = 14*f**d + 345 - 345. Give w(b(o)).\nAnswer: 784*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 736\/5 + -144. Calculate the common denominator of l and 5\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**4\/6 + s**3\/3 + s + 2. Let w(h) be the first derivative of a(h). Factor w(q).\nAnswer: 2*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4 (b) 1\/2 (c) -1\/6 (d) 5 (e) -468.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 4*u + 4. Let z be h(5). Let d = -25 - -30. Suppose 49 - 54 = -d*y. Sort y, z, 3 in ascending order.\nAnswer: z, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 7 - 51 = 0. Suppose 0 = g*f - 35 - 449. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -13) + 50 + -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27*12\/144*-4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -6*u + 27, -u - 6*g = -2*g + 81 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yukukkkkkuukkkykkukk. Give prob of sequence ku.\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14696190 is divided by 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -1764?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/9 + (-8)\/36. Suppose -58 = -2*b + d*w, b - 5*w = -0*b + 13. Suppose -6*l + 381 = -3*l. Calculate the remainder when l is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -84. Let l = -12 - -15. Sort k, l, -2\/17 in decreasing order.\nAnswer: l, -2\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 + 155?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4980 = -3*s - 1362. Let o = s - -3155. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 7*t + 11. What is the units digit of q(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938526.\nAnswer: 2, 3, 156421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.0628km to nanometers.\nAnswer: 602062800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2166871*i - 15652 = 2167235*i for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8250500 divided by 1138.\nAnswer: -7250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h - 2. Let m = -10 + 15. Let y be -2 + m - (2 - 1). Calculate the remainder when f(y) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y + 3*y**2 + 0*y**2 + 3*y**2 - y**2 + (3*y - 4*y - y)*(-2*y + 4*y + 0*y) + 0*y**2 + 3*y**2 - 5*y**2 - 26 - 7*y**2 + 26.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*n = -76, -3*n - 8 = -n. Solve 2*j + 1 = j - z, 3*z = 3*j + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 1.80648839.\nAnswer: 2.30648839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-23)\/(-4) + -2)\/(48\/64). Find the third derivative of 20831*g**f - 48*g**2 + g**6 - 20646*g**5 - 84*g**2 wrt g.\nAnswer: 120*g**3 + 11100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 752 divide 346672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**3 - 7*r**2 + 2*r + 7. Let v(c) = -2*c**3 + 3*c**2 - c - 3. Let f be (-28)\/(1 + (-1 - -2)). Let l(p) = f*v(p) - 6*b(p). Factor l(u).\nAnswer: -2*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 30*w - 1021. Let o be q(-50). Which is bigger: o or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnnh when four letters picked without replacement from hnnhnnnnhhhhnhhhhhh.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8329.70117 to one decimal place.\nAnswer: -8329.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002889 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 694040*k**3*t**3*x - k**3*t**2*x**2 - 3*k**2*t**3*x**2 - 2*k**2*t**2*x**2 + 97187*k**2 - 2*t**2 wrt t?\nAnswer: 4164240*k**3*x - 18*k**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2659523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 6\/13 + 72897\/(-858) + 104\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*u. Let z(k) = k**2 + k - 3. Let n be z(u). Solve -n + 0 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-4)\/(-128)*12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 676827191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 1779.\nAnswer: 28464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 42 = -2*s. Let p = 34 + s. Calculate the remainder when 50 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*n + 1)*(n**2 - 5*n**2 + 3*n**2) + 5*n**3 + 3*n**3 - 30*n**3 - 2*n + 2*n + 2*n**3.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + 2*h**2 - 2. Let i(g) = -2*g**3 + 3*g**2 - 3. Let c(r) = -2*i(r) + 3*n(r). Suppose f + 4*f = 25. Let b(a) = 3*a**3. What is f*c(q) + 4*b(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*y - 1571*y - 3604 - 6764 = -729*y for y.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 2*o - 3. Let q be t(4). Suppose -5 = -2*i + h + 3, 0 = -q*i - 2*h + 20. Solve r = -i*d + 10, r - 4*r - 2*d + 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = y. Solve r = 5*r - y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(5\/2)*((-68850)\/(-68))\/81\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:42 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*(-2)\/6)\/((-14)\/(-6)). Let n = 577 + -1727\/3. Put n, j, -6 in descending order.\nAnswer: n, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, -2 in decreasing order.\nAnswer: 1, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 2*q**2 - q - 2. Let i be o(3). Let c(j) = -j**3 + 11*j**2 + 3*j - 23. Let x be c(11). Let l = 1 + 1. Solve -x = -l*m + i*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -529 - -530. Let d(g) = 3 - 26*g - w + 11*g + 12*g + 4. What is d(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:01 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + 8 + (-9 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -811.\nAnswer: -1\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/(5*1\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 3*f + 12. Give a(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 11*y - 10. Determine c(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -g + 3*s + 44, -5*s = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 2. Let z(l) = l - 1. Let o = 2232 - 2238. What is o*h(d) - 11*z(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1179219, 2358355, 3537505, 4716675, 5895871, 7075099, 8254365?\n\"Answer: q**3 + q**2 + 1179126*q + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = u - 4, 5*u = -5*i + 3*i + 20. Suppose -3*r + r = -5*g + 280, u*r = 0. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.5. Let d be (-15)\/(-5) + -1*1. Suppose d*v + i - 4 = 4, 0 = v + 2*i - 7. Which is the third biggest value? (a) -3 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*d**2*h**2 + 591*d**2 - 18*d*h**4 wrt h?\nAnswer: 18*d**2*h - 72*d*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3698072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 1826 + 520. Suppose j = 3*f - 2*z, 434 = 4*f + 4*z - 54. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 154 + 1463. Is -537 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c + 168 = 25*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 15*m**5 - 2*m**3 + (2 - 2 - m**3)*(0*m + 2*m**2 + 0*m) - 2*m**5 + 3*m**5 + m**4 + 0*m**4.\nAnswer: -16*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 580b?\nAnswer: -5813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 - 207. Suppose 5*s + g*m = 13, 2*s - 2*m = 7 + 9. What is the nearest to -1\/2 in 2\/3, s, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 136\/3 - 62\/(-93). Suppose -v = -4*j - 6, 2*v - u*j = -41*j + 21. Suppose 3*o - 49 = -13. Calculate the highest common factor of o and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350 by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.10984247686 - -10.75984314986. Let d = 10.65 - f. What is d rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83786*h - 83783*h + 167567*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 1007*z + 2*z**2 - 1005*z - 3 + 2*z**3)*(2 - 1 - 3).\nAnswer: -2*z**3 - 4*z**2 - 4*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**40*((k*k*k**0)\/k)**(-9) assuming k is positive.\nAnswer: k**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-36)*p)\/p)**(-3\/11) assuming p is positive.\nAnswer: p**(108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a decade in years?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106308 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 9 = 3*y + 3*t, 2*t + 14 = 3*y. Let v be ((-48)\/(-33))\/y*2\/(-4). Which is the closest to 0? (a) v (b) 2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (90 - 6*i - 90)*(-643 - 52 - 19 - 82) in the form p*i + g and give p.\nAnswer: 4776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 396 + -396.1. Which is smaller: -19.9 or j?\nAnswer: -19.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, and 1 o when three letters picked without replacement from tzohzthozttothhztht?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*q + 14, -x - 5*q - 9 = 14. Let o = x + 3. Suppose o*s - 8*s = -363. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 74*k**2 + 74*k + 102. Let z be w(-73). Solve -z*h + 18 = -11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1524 + 0.09. Let a = 0.28 + y. Let r = a - 0.23. What is r rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 36 = 4*s, 0*s + 36 = 4*k - 5*s. Let n(z) = 2*z + 5 - k - z. Let l(x) = -x - 2. Let j(m) = l(m) + 2*n(m). Let t(y) = -2*y**2. Give t(j(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351634 is divided by 175794?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13888 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -3*g**3\/2 + 33*g**2\/4 + 6*g - 88. Determine c, given that r(c) = 0.\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.2 and -2.709.\nAnswer: 14.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24305598 by -57.\nAnswer: 426414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1741 = 2*b, 2*b = -b + 9. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38413\/2 - -19208. Let k(z) be the second derivative of -13*z - 7\/6*z**4 + 0*z**3 - t*z**2 + 0. What is the derivative of k(x) wrt x?\nAnswer: -28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 123.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 797 - 222386\/279. What is the common denominator of o and -37?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*a - 1775 + 6668 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1520717 and 13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/32851 and 113\/9100.\nAnswer: 3285100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millisecond in microseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h + 1. Let q be g(4). Let b = q + 13. Suppose b*d = -5*u + 55, 0*d - 3*d = 0. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -83. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9921383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -48379893.2688556 and 0.3.\nAnswer: -48379892.9688556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Let l = z - 0. Solve -d = l*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from bszzzszb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -0.1, 1\/10, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10680454.\nAnswer: 2, 17, 53, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4784*l**2 - 24334*l**4 - 32\/3 + 67712\/3*l**3 + 384*l.\nAnswer: -2*(3*l - 2)*(23*l - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 46*j - 117 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + -71. What is the greatest common divisor of l and 784?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s. Let q(r) = 2*r**2 + 946*r. Calculate x(q(p)).\nAnswer: 22*p**2 + 10406*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1902582 divided by 27\nAnswer: -70466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118739842 and 1818?\nAnswer: 1068658578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36302660 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45752 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2 - 32*n - 60. Let h be j(-5). Solve h*s - g = -3*s - 4, -s = -g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-24102.1\nAnswer: 482.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133\/2 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -20 - 2*3\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 5:56 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -36*9664.69\nAnswer: -347928.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*x = 20 - 4, -8*p + 60*x = 62*x - 58 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1 - 1)\/(1\/22). Is (-14077)\/(-2) - w\/88 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = 5. Suppose -86 = -u*x + 38. Calculate the remainder when 92 is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.25473 + 2703.95473. Let a = v - 2592. Let f = a + -119. What is f rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -715*(-4)\/8154 + (-4)\/12. Let g be 8157\/(-2718) + (-7 - -10). Let p = u - g. Is p not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 4*n + 2. Let x be r(-2). Solve -o = o + x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/1680*12*18\/(-3) and -98\/285.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141154 divided by 2314?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 209322*g + 168. Let x(w) = 12 + 2 + 28 + 52330*w. Let b(c) = 4*q(c) - 15*x(c). Let n be b(-9). What is n rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148 and 20?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-13))\/(45\/585)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 42*n**2 - 6*n + 11. What is m(-3)?\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.067 from -893.\nAnswer: -892.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 6449692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(28) - (sqrt(700)\/sqrt(4) - sqrt(7))**2) - (sqrt(7) + 3 + sqrt(7) + -2 - (-2 + sqrt(7))*-6).\nAnswer: -12*sqrt(7) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, q: 7, g: 1, e: 6, b: 1, t: 2}. What is prob of sequence ttu?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 5*c**2 - 5*c. Let g be y(4). Let j be 14\/(-21)*6\/g. Which is bigger: 3\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/41 (b) -10\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 563703053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -15*j - 14*j + 75. Let d(t) = -6*t - 3. Let x(v) = -4*v - 2. Let h(c) = 3*c + 1. Let a be h(-3). Calculate a*x(i) + j*d(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**21))\/((u*(u**(-11)\/u)\/u*u)\/u)*((u*u**(-2\/7)*u)\/u*u)**(2\/7))**(-30) assuming u is positive.\nAnswer: u**(11040\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30\/83 + -459\/581. Let s(i) = -i**3 - 4*i**2 - 6*i + 3. Let t be s(-3). What is the biggest value in -0.1, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/5, -36.8, 5 in descending order.\nAnswer: 5, 2\/5, -2, -36.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**4 + 4*r**4 - r**4 - 5*r**4 + 33*r**4 + 8*r**4 - 2*r**4 + 0*r**4 + 4*r**4 + (r - r - 2*r**2)*(0 + 0 - 2*r**2) - r**4 - r**4 + 5*r**4.\nAnswer: 41*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7595819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111111000111101011010 + 100?\nAnswer: -11110111111000111101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 4*o**3\/3 + 241*o. Let s(d) = -19*d**2 + 8*d. Calculate s(g(l)).\nAnswer: -1216*l**2 + 64*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491 + 819 = 383*l - 754 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.46507?\nAnswer: 1.86028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7*(-24)\/30)\/(2\/(-10)). Let o be (-24)\/y*(-728)\/117. Factor 224\/9*k + 4*k**2 + o.\nAnswer: 4*(k + 6)*(9*k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9275\/28 - 4) + (-1)\/4. Suppose 7*i + g = 873. Calculate the remainder when i is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - c)*(4 + 3 - 5) + (c - 4*c - 2*c)*(3 + 14 + 1) in the form i + m*c and give m.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-one halves of a tonne?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in 62, -5, -15242?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (4 + (-11 - (2 + -5))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -354 - -354. Solve -4*r + 16 = -5*d, d - 3*r + 0 + 1 = y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8480 + 8575. Calculate the greatest common divisor of 1767 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/((-16)\/12). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0 + 12 = 4*f, 25 = 3*f + s. Let y(w) = 2*w**2 - 9*w - 2. Let k be y(f). Suppose 3*r + 9 = k. Calculate the smallest common multiple of r and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63450 + -0.033.\nAnswer: -63450.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13929 is divided by 732.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 8*a**2 - 15*a + 122. Let b be n(8). Sort 11, -5, -1\/6, b in increasing order.\nAnswer: -5, -1\/6, b, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - 4368*u - 26266. Calculate y(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z - 2*f - 26, 2*z - 821*f = -826*f + 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 r when four letters picked without replacement from uuorrruuiruiiiu?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.99 + -0.01. Let s = -1.22 - a. Round s to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 21*f**3 - f**2 - 2*f + 2. Let u be v(1). What is the greatest common factor of 8 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -381, 4, -5, -112, 3 in increasing order.\nAnswer: -381, -112, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 + 6*j + 1. Let s(i) = 2*i**2 + 5*i + 5. Let p be s(-4). Suppose p = 5*q - 23. Suppose -14*t + q = -16*t. Determine k(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htylbssbbsbt. Give prob of picking 2 t, 1 s, and 1 h.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 822606286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h + 18. Let w(a) = -99*a - 198. Let u(b) = -54*o(b) - 5*w(b). Let k be u(6). What is the tens digit of (k\/14)\/(45\/210)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23796 is divided by 1487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 102.7 + 715130.15\nAnswer: 715232.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m + 2. Let t be f(-1). Suppose 5*z - 54 = -u, 0*z + t*z + 3*u - 32 = 0. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(48\/30)\/2)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12593*0.2\nAnswer: 2518.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 8 - (-80)\/(-10). Solve 14*a = 11*a - b*u, -3*a + u - 20 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7. Suppose 0 = -5*r + 5*l + 80, 4*l + g = 4. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8514097413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 4*j + 5. Let y(t) = t**2 + 5*t - 6. Let x be (-3 - (-2 + 0))\/(3\/15). Determine x*y(m) - 6*h(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285 by -5.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115\/28 + 34\/7. Let a = 29\/3 - 10. Let f = -0.8 + 0.7. What is the third smallest value in z, a, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooozozzooo. What is prob of picking 2 z and 2 o?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -8*h + i - 15, -3*h - 4*i + 21 = 0. Let v(j) = -29*j + h - 4 + 30*j - 1 - 1. Suppose -4*w + 45 = w. Calculate v(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 239080 to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-1 - 4)\/5 - -2. What is the second derivative of -12*r + 6*r - u - 18*r - 149*r**5 wrt r?\nAnswer: -2980*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4530, 7820, 11124, 14448, 17798, 21180?\n\"Answer: f**3 + f**2 + 3280*f + 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 97 = 2*a + 5*k, -3*k - 99 = 3*a. Calculate the common denominator of a and -1 + (-4)\/(32\/(-138)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506 and 679613.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, 0, -46, -2.\nAnswer: -46, -2, 0, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -438 + 444. Let i = -2\/35 + -31\/70. Put 2\/7, r, 0.5, i in descending order.\nAnswer: r, 0.5, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*y**2 + 48*y**2 + 2*y**2 to the form q + a*y + z*y**2 and give z.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let l = 618 + -16688\/27. Which is bigger: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6)*6)\/(-3). Let f be ((-96)\/(-20))\/(h\/11770835). Suppose 5*w - 4*u = f, 2*w + u - 243144 = 22356854. What is w rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*v + 25, 4*s + 2 = -v + 3. Let k be (s + 3 + 2)\/22. Let f = 0 + -0.2. What is the smallest value in 0.3, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*b + 9305 + 11655 = 626*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, 0.4, 57, -1\/240, 11, 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/25982 and 123\/10.\nAnswer: 129910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**5\/5 - 3*u**4\/20 + 7*u**3\/15 + 3*u**2\/10 - 2*u\/5 + 13. Solve n(a) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 3*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5739524 divided by 4\nAnswer: -1434881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3520, -2\/147, -0.072, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2636 - 1577. What is the remainder when l is divided by 133?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -2.7. Let f be ((-16)\/(-24))\/(-6 - 140\/(-15)). Which is the fourth smallest value? (a) 0.05 (b) s (c) 2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(99) + -6*(sqrt(99) - 5*sqrt(99)))\/((-1*sqrt(18)*1)\/(1*sqrt(2)*5)).\nAnswer: -95*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 7:26 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1742.798 kilometers?\nAnswer: 174279800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 6. Let k be -4 + (-6)\/21*-7 - -4. Suppose 2*l - 15 = 5*h, 4*h - k*l + 10 = -0*h. Give g(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) 1\/5 (c) 169 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-42) + (-2)\/(-3). Let w be ((-5)\/4)\/(8\/(-16)). Let k = -27 - -55\/2. What is the nearest to n in w, 1\/5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(68) - -2*(sqrt(68) + -1))**2 - sqrt(68))*6 + ((3*sqrt(68) + sqrt(68))*-4*2)**2).\nAnswer: -366640 + 780*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -78. What is the remainder when c is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1493*z - 20. Let w be y(-2). Let x be (44\/w)\/((-3)\/(-9) + 0). Let l = 32873\/7014 + x. What is the common denominator of l and -59\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113388825 to the nearest integer?\nAnswer: 10648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/19)\/(1*4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 5:09 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-3*i + i + 3*i)*(-6 - 4 + 5).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36260.3008 rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from {t: 1, p: 1, z: 3, e: 1, k: 2, b: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 425\/(-15)*(-38)\/285 + 4\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -164228*-2.6\nAnswer: 426992.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 814160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28195.\nAnswer: 5, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/15 - 3494*k\/15 + 256108\/5.\nAnswer: 2*(k - 1489)*(k - 258)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**7\/504 - j**6\/720 + j**5\/4 - 5*j**2. Let b(f) be the third derivative of o(f). Differentiate b(l) with respect to l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (sqrt(550)*5)\/sqrt(11) - (-1*sqrt(242)*2 + sqrt(242) + -2 + 1)).\nAnswer: -6 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-167)\/(-100) + (-4344)\/36200)\/((-1)\/4).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*w = 1 - 7, -3*p - 2*w = 48. Let s = p + 14. Which is bigger: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(11)*2 + sqrt(11) - sqrt(11)) + -1)**2.\nAnswer: 16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38123713 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and -4*(-183 + (-19 - -13))?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/((q**(-26)*q)\/q))*q**(7\/8)*q assuming q is positive.\nAnswer: q**(-193\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + sqrt(192)*2)*3)**2 - (((sqrt(30) - -2*sqrt(30))*-5)\/(sqrt(40)*1) + -1).\nAnswer: 2703*sqrt(3)\/2 + 7109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 3) + 29 - 2*-1. Let n(y) = -706 + 706 + g*y. What is the tens digit of n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 5*j**2 - 14*j + 12. Let i be d(9). Let x = i - -1338. What is x rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 4*t + a - 84, 0 = 2*t - 2*a - 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 7, g: 9}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49068, 98134, 147200, 196266?\n\"Answer: 49066*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 55 = 5*o, -2*o + o - 4*d + 11 = 0. Let h be 2 - (-505)\/(-4 - o). Let m = -100 + h. Solve 0*x + x = m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 7, c: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 288*v - 1421. Let w(o) = -71*o + 356. Let f(h) = 22*w(h) + 6*x(h). Find the first derivative of f(k) wrt k.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 66679, 66677, 66675, 66673, 66671?\n\"Answer: -2*d + 66681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 41*m**2 - 275*m - 101. Determine a(-47).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 166*r - 50. Let s be x(-3). Let m = 1160 + s. Is 36 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*t**3 + 1441*t**3 - t**2 - 514*t**3 - t**2 - 484*t**3.\nAnswer: -49*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*g + 5*d, 9*d - 20 = 4*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u**2 + 14*u + 27. Let y be o(8). Let m = -230 - y. What is the highest common factor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44695 and 5565?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1127 and 1770356?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 76*a + 1296. Is 3 a factor of o(-78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336189161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:54 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-6)\/9) + (393 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*h + 319 = -116*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25992648 to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -34. Suppose -4 = w*v + 4*s, -v + 5*s + 14 = -2*v. What is the third derivative of 8*o**v + o**2 - 4*o**6 - 2*o**6 - 2*o**2 wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. Suppose -z*x = -4*m - 20, -21 = -5*x - m + 5*m. Suppose 2*v - 69 + x = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 + 14 + 11*d + 2*d**2 + 12*d**2 - d**3. Let u be l(12). Solve -2*c + 8 = -4*n, 6 = 4*c - u*n - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 4:28 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 160 = 2*v. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/39, 0.3, 2\/9, -2 in ascending order.\nAnswer: -2, 4\/39, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 508 by 5.\nAnswer: 508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9042307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3157 + 94723\/30. What is the common denominator of 91\/24 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4896 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*h - 99*h + 9 + 378*h - 2)*(-3*h - 3*h + 4*h).\nAnswer: -530*h**2 - 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 613 - 595 - 581 - o + 1715. Let i(m) = -12*m**2. Calculate i(w(z)).\nAnswer: -12*z**2 + 1776*z - 65712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 + -4)\/((21\/(-270))\/(-7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21075809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 x when three letters picked without replacement from xjrxprrfjxaxjfxfjfjf?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -4102?\nAnswer: 18\/2051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.065826627 - -0.32.\nAnswer: 0.385826627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 233*f + 23*f - 61*f + 18*f as l*f + m and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13593?\nAnswer: 3, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q - 3*q)*(-4*q + q + 5*q) - 62*q + 3721*q**2 + 260*q - 66*q - 65*q - 67*q.\nAnswer: 3719*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(190)\/(sqrt(40) + sqrt(10)) + (sqrt(1216)*-2 - (sqrt(57)\/sqrt(3) + 0)).\nAnswer: -50*sqrt(19)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 18*z + 115. Give o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p - 2*p)*(-1206 + 615 + 320).\nAnswer: 542*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 8*z = -96. Let o = 83 - z. What are the prime factors of o?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/18*75180\/(-13425)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 744 and 6293000.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1614, 1615, 1616, 1617, 1618, 1619?\nAnswer: 1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 x, and 2 m when four letters picked without replacement from {a: 2, x: 4, m: 4, i: 7, y: 1}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 7*q - 6. Let a be i(6). Let d be 2\/(-4)*-2*a. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/8 + 1339*i**2\/4 - 2005*i + 2672 = 0 for i.\nAnswer: 2, 4, 2672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 5*q + 51, -29*l + 2*q + 11 + 25 = -10*l - 26*l + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000111 - 10111010?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114224\/(-59))\/88*4.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + 2 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*b + 21 = 2*y, 5*b - 15 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -66*s - 289. What is the remainder when z(-7) is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 5)*(-7*q + 5 - 5)*(-2 - 1 + 2) to the form a + t*q and give t.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 5*b + 3. Let c = -94 - -97. What is k(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -91. Which is the closest to 2? (a) -0.2 (b) -6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x = 0, 3*x = -2*o + 106. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4))**(-2\/45)*(h\/(h**(-1)*h))\/(h**(-7)*h*h) assuming h is positive.\nAnswer: h**(541\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*d + 28 = 4*d, -3*k + 19 = 5*d. Let u be 4 + 3 + 2\/k. Find the third derivative of -2*m**2 + 0*m + 0*m + 2*m**u wrt m.\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69996? (a) 5 (b) 0 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*s - 402 + 402)*(s + 2*s - 4*s).\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1856 divided by 1\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/2, 0.09, -1 in decreasing order.\nAnswer: 1\/2, 0.09, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i**2 - 822*i = 0. What is i?\nAnswer: -822\/53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 27*v**3 + 6*v**2 + 505*v - 541. What is k(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10039 - -10443.7. Let f = b + -425. Let d = 20 + f. What is the nearest to 2\/3 in -3\/2, 4\/5, d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:34 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -1\/945 (b) -1 (c) -1.2 (d) 0 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1913012499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -0.5 (c) 2\/13 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 270?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 8:47 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0*x - 184. Let b = -34 - x. Suppose -4*h + 5*k = b, 0 = 2*h - k + 3 + 3. Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2\/19 (c) 20 (d) 1\/6 (e) -2 (f) 9 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - -6*sqrt(204))\/(sqrt(108) - -2*sqrt(108)).\nAnswer: 13*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 674113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 3*h + 12. Suppose 45 + 25 = 10*s. Suppose -m = -4*m + 69. Calculate the remainder when y(s) is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 569, 831, 1081, 1313, 1521?\nAnswer: 1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29133 + 2.29133. Which is the nearest to -1\/5? (a) -12 (b) f (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(3\/42) + 2. Let v = c - -47. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3030, -12098, -27200, -48336, -75506, -108710, -147948?\n\"Answer: -3017*i**2 - 17*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -1\/20*r**5 - 1\/3*r**4 + 0 - 1\/2*r**2 - 327*r - 1\/2*r**3. Let a(q) = q + 1. Let c be a(-3). Calculate z(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5474 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 1 (c) 0 (d) 114\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let o be (1 - 2)*u - 3. Let d be o\/(-6)*3 - -14. Solve 4 - d = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259980911.\nAnswer: 29, 31, 289189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**3 - o**2 - o + 1. Let j be r(1). Let t = 3451 - 3371. What is the greatest common divisor of t and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56a42c1 + 0?\nAnswer: -56a42c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Sort -1\/4, q, 4 in descending order.\nAnswer: 4, q, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1589800 divided by -4.\nAnswer: 397450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*k**2 - 12852*k + 12838*k + 65*k**2.\nAnswer: k**2 - 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 203616 divided by 1\nAnswer: 203616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 137361257 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qurqiiq. Give prob of sequence ri.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 29. Let f(l) = l - 6. Let j be f(5). What is the nearest to 0.1 in b, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/30)\/(29\/(-29))*(30\/(-27) + 1)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3274 and -147?\nAnswer: 195.1278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-56)\/3*(-140 - -137) and 176?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*q + 67, 0 = -2*q - 4*x + 6*x + 16. Solve t = -2*t - 2*o + q, t = -4*o + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010 (base 3) to base 10.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 164*z**3 - 172*z**3 - 19 + 19 + 337*z**3 - 7*z**2. Suppose 0 = -2*v - 0*v + 4. Suppose 0 = -2*c + m + 12, v*m + m = 2*c - 8. Give k(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 968097 and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5040 (base 6) to base 4\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -364913\/44082 - -2\/7347. Find the common denominator of -69\/130 and h.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 - 836*n**2 - 832*n = 0. What is n?\nAnswer: -208, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -364*b + 38*b - 3450 - 462 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12587147*x**4 - 34869*x + 54 wrt x?\nAnswer: -151045764*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098.0705 rounded to one decimal place?\nAnswer: 1098.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*2)\/(5 - 10). What is the closest to i in -2\/3, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -4, 0.5, 6, -0.8, -157?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 2\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 2*h + h - 3*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 + 9721768*l**2\/3 - 19443518*l + 29165268.\nAnswer: -2*(l - 4860878)*(l - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 69750461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -75193 - 17967. Let j = 33819 + d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b. Let c(w) = -w. Let o(g) = 3*c(g) - n(g). Let p(r) = 3*r**2 - 4*r - 4. Let q(k) = 3*k**2 - 3*k - 3. Let x(j) = -3*p(j) + 4*q(j). Give o(x(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1520 = -3*f, -6*a + 3*a + f = -2302. Suppose 2*z - a = -2*v - 0*v, -v = -4*z + 1512. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4173?\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 4. Let u be z(2). Sort -4, u, -1.\nAnswer: -4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357216.628 rounded to the nearest 100?\nAnswer: -357200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*j - 73193 - 97166, 170360 = 3*p + 4*j. Suppose p = 6*i - 29858. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + -15 + 12 + -5 + (-11 + -4 - -12).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 3\/5, 6839, 5, -0.21 in ascending order.\nAnswer: -5, -0.21, 0, 3\/5, 5, 6839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2296*u + 789*u + 764*u + 798*u - 4125 for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 90*v - 91*v. What is the second derivative of v*u**2 - 5*u**2 + 13*u**3 - 9*u - 10*u - 4*u**3 wrt u?\nAnswer: 54*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -6)\/(1 - 2). Suppose b = 5*y - 867 - 1628. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w + 12*w + 9*w + (-w + 2*w - 3*w)*(0 + 0 - 2).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*y. Suppose -y*z = -z + 27. Let x = z - -42. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 854 and 854.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 4. Let c be q(7). Let z be 1\/3 - (-70)\/6. Solve b = -c*b - z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 2*m + 3. Suppose 0 = -0*h - 5*h + 50. Calculate the smallest common multiple of v(2) and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b - 8*b + 24*b)*(b**2 - 40 + 37 + 13 + 23).\nAnswer: 6*b**3 + 198*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 1*sqrt(1008) + 3 - sqrt(1008)) + (-4*(sqrt(1008) + -1) - sqrt(1008)) - (3*sqrt(441)*-1)\/(-2*sqrt(1008) + sqrt(1008) + sqrt(7)))**2.\nAnswer: -7518*sqrt(7)\/11 + 2024512\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142.8 + 143. Which is the closest to i? (a) 2\/9 (b) -5\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 9412 (b) 2\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11952344333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2296 and 94012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*f**2 - 15*f - 391527.\nAnswer: -230*f - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - 1198\/4*(-10 + 8)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - z - 4. Let c be v(5). Suppose -4*w = -c - 24. Calculate the highest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 18*u**2. Let s be h(18). Let y = -241\/13 - -32027\/1729. Do y and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -36*i**3 - 4*i**2 + 4*i + 4. Let b(y) = -37*y**3 - 5*y**2 + 5*y + 5. Determine 4*b(n) - 5*m(n).\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 - 10*j - 11. Give o(6).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 4. Let d be u(-9). Suppose -d = 4*x + 3. Sort x, 1, 4.\nAnswer: x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -4*((-6)\/(-15) + 245\/(-50)) and 46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -806 divided by -26.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -18*c - 394. Let x be f(-22). Are x and -21.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 648?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((117\/18)\/(-13))\/((-1)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5940, 52, 0, -2, 5, -3 in decreasing order.\nAnswer: 52, 5, 0, -2, -3, -5940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -23, 0 in descending order.\nAnswer: 0, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 67 = 3*q, 92 = 4*m - 3*q + 36. Suppose m*w = 55*w - 70048. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -26.8 (b) 0.07 (c) 1\/31255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 15. Let p be 12\/3 - (c - -4). Factor -x**3 + 0*x**4 + 3*x**p + 0*x**2 + 3*x**5 - 2*x**3 - 3*x**2.\nAnswer: 3*x**2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p + 13. Let z(x) = 11*x + 20. Determine -8*g(b) + 5*z(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/3 + f**3\/9 - 63. Find p such that y(p) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*0*(-4)\/40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3604425?\nAnswer: 3, 5, 11, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276937, -553874, -830811, -1107748?\nAnswer: -1384685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -31. Let y(m) = m**2 + m - 2. Let w be y(-2). Calculate the remainder when b is divided by (15 - 2)\/(1 - w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -38*((-16)\/4)\/8. Let u be (o\/1)\/((-4)\/(-44)). Let j = u + -146. Calculate the remainder when j is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -78a437?\nAnswer: 78a438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 8*u - 8. Let a = u - -21. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = 2*p + 21 + 10, -p + 11*v = p + p + 30 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2270155g?\nAnswer: 227015500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 11:24 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 3*h**2 - 71*h + 2. Let v(i) = 2*i**2 + 2*i - 1. Calculate -t(w) + 2*v(w).\nAnswer: -2*w**3 + w**2 + 75*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.15 - 0.14973. What is a rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 208\/(-20) + 4\/10. Let v be (-4)\/q*20\/4. Suppose 4*d + 3*h - 47 = -0*d, v*h = -d + 18. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 6. Let c(b) = -10*b + 17. Let r(y) = 3*y**3 - y**2 + y + 1. Let g be r(-1). Let p(v) = g*c(v) - 11*h(v). Differentiate p(z) wrt z.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**4 - 3*p**3. Let m = 6 + -9. Let g(x) = -8*x**4 + 4*x**3 - x**2. Let y(c) = m*g(c) - 4*k(c). What is the third derivative of y(v) wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 0, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 9) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72811.2 decades to centuries.\nAnswer: 7281.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -337a7 + -3?\nAnswer: -337aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + -3 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (-2 - (1 - 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*k = -k + 5, -3 = -3*u + k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16854)\/260*(-296)\/222. Let p = f - 436\/5. Which is bigger: p or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-109)\/(-3)*9\/(-39). Let o = q + 1479\/26. Calculate the common denominator of 10 - 735\/(-180)*3 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445219.\nAnswer: 61, 56479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*m**3*r**3 - 81*m**3*r - 6*m**2*r**3 - m**2*r wrt r.\nAnswer: -234*m**3*r - 36*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-11))\/((-57)\/627)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 868\/3 - 289. Let o(l) be the first derivative of 1\/6*l**4 - 2 - t*l - 1\/3*l**2 + 1\/15*l**5 + 0*l**3. Find c, given that o(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -137, -316, -575, -920, -1357?\nAnswer: -1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/16 and -91\/265530?\nAnswer: 2124240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/13 + -62\/65. Put 0.2, r, -2\/11, -0.03 in ascending order.\nAnswer: r, -2\/11, -0.03, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/5 - 46*l\/5 - 44\/5 = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996039713 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -19*n**5\/30 - 29*n**3\/3 + 9*n**2. Differentiate j(a) with respect to a.\nAnswer: -76*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -1473*u**8\/56 - 163*u**4\/3 - 651*u. Find the third derivative of j(p) wrt p.\nAnswer: -176760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 - 4*z. Let t(b) be the third derivative of -b**6\/120 - b**5\/60 - b**4\/24 - 18*b**2. Calculate s(a) - 4*t(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21010102010 + -2112100?\nAnswer: -21012221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4249 (base 16) in base 13?\nAnswer: 7954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000021295 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1424 or 1374?\nAnswer: 1374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/9*(1 - 4). Solve -2*m - 3*r = -r + 2, b*m - 4*r = 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164643630 and 15030.\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166410*0.01.\nAnswer: 1664.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 127*g - 270.\nAnswer: (g + 2)*(4*g - 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18759.04km?\nAnswer: 18759040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -43 + 43 - (-7 - 1) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + l + 2. Let m be b(0). Let n(a) = 5 - m - 4 - 5*a. Calculate n(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 5*p = 0. Let g = 0 - p. Suppose 4*a = -g*a + 4*y + 72, y - 47 = -4*a. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*q + 18. Suppose 5*t - q*z - 3 = 37, -t = -2*z - 13. Solve -3*o + 0 + 11 = 4*l, 3*l + t = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 107*k - 4. Let r(i) = -4*i**2 - 214*i - 6. Let t(h) = -5*p(h) + 3*r(h). Find the second derivative of t(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(9\/2))\/f)\/f**(-27))**(15\/4))**(-28) assuming f is positive.\nAnswer: f**(-4725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z - 30. Let c be m(-7). Suppose 2*f + 4*x - 18 = 3*f, 0 = -c*f - 4*x - 162. Is -28 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*u**2 + 26*u**2 - 19*u**2)*(-3*u - 4*u + 4*u) + (0 - 1 + 2)*(-55*u + 55*u + 6*u**3) - 3*u**3 + u**3 + 0*u**3.\nAnswer: -161*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89246?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2392885 and 0.4.\nAnswer: -2392884.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 142*i**3 + 1604*i**2 - 5640*i + 4176.\nAnswer: 2*(i - 58)*(i - 6)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -15 - (-36 + 31)) + 43\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(405) + 5 + sqrt(405) + 1 - (sqrt(30) - sqrt(60)\/sqrt(2)*-1)\/sqrt(6)))**2*-4.\nAnswer: -5156 - 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1200*z - 6. What are the prime factors of k(-47)?\nAnswer: 2, 3, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.214 and 3.\nAnswer: -0.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 2*k**2 - 4*k**2 - k + (-5 + 5 + k)*(2*k - 4*k + 0*k) + (1 - 3 + 3)*(-19*k**2 - 31*k + 31*k) in the form f*k**2 + y*k + q and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3627396903?\nAnswer: 3, 13, 53, 61, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -40 + (29 - -13) + -124.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 2, d: 4}. What is prob of sequence pdd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 224*w**2 - 3*w + 8. Let f(k) = 336*k**2 - 4*k + 11. What is -5*f(l) + 7*y(l)?\nAnswer: -112*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-4)*-2 + -2. Suppose -v = -b*v + 36. What is the remainder when 15 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952, 950, 948, 946, 944?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5332 or -6044?\nAnswer: -6044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**3 - 260*u**2 - 33*u + 148. Determine z(-37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13164925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 + -3.05. Let u = 23\/103 + 469\/206. What is the closest to 2 in u, -1\/4, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3215058725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -6, 0, 862, 42 in ascending order.\nAnswer: -6, 0, 2, 3, 42, 862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430 or -429?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s**2 - 10*s**2 + 13*s**2 + 9*s**2 - 22*s**3 as g*s + q*s**3 + c*s**2 + u and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173970 and 2646.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.72 - 35.9. Let f = -0.9 + 0.62. Let s = f - d. Which is the closest to s? (a) 6\/13 (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(567) + -3 + -6*sqrt(567))*1 + 4.\nAnswer: -45*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -614*p**3 + 4*p**2 - 2*p. Let d be h(2). Round d to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*f**3 + 114*f**2 + 935231 wrt f.\nAnswer: 246*f**2 + 228*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10095 and 13781694?\nAnswer: 2019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123114\/25 + -245603\/50. Let -1\/2*v**4 - 27\/2*v - 9\/2*v**3 - 5 - p*v**2 = 0. What is v?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4210, -64, 1\/630?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56243047 is divided by 1330.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((44\/(-4))\/1)\/(52\/(-52))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 32\/5 of a minute?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*f - 3*u, -5*f + 30 = 3*u - 5*u. Suppose -p = f*p. Which is the biggest value? (a) -5 (b) p (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16058299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -86445392.\nAnswer: -8644539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -30. Suppose -o*j - 135 - 5 = 0. Let d = 5 - j. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888558 is divided by 8005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + i)*(-230*i - 294 + 294).\nAnswer: -230*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -46*a**2 + 9659*a - 280. What is u(210)?\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 7*m**2 - 5*m - 8. Let i be z(8). Suppose -i*u = -14*u - 74. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 2*b**2 - 10*b + 395. Give l(0).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17057545 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 8553.\nAnswer: 42765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 11 + 34. Let c(q) = -q**2 - q - 3. Let n be c(0). Let h = n + x. Calculate the remainder when 46 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5398 is divided by 1281.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**6\/10 - 3*u**5\/10 + u**3 - 3*u**2\/2 + 227*u - 8. Factor s(k).\nAnswer: 3*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 + (-2 - 0) - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 383291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-651)\/(-434))\/(18\/(-39))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*a + 18 = 0, -5*v + 2*a = -a - 19. Let m(p) = -2 + 26*p + 13*p**2 - 29*p + p**3 - 14*p**v. Calculate m(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20\/17 + 66\/85. Which is the second smallest value? (a) 1 (b) 12 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 307 and 7061?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 1, i: 1, a: 1, g: 2, u: 3}. Give prob of picking 1 a, 2 g, and 1 u.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*m = 33553 - 33525, 0 = -2*a - 3*m - 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -10. Let c(m) = -m**2 + 5*m - 4. Let w be c(i). Let q be (-144)\/(-32)*w\/(-6). What is the closest to -1\/5 in 0, -1\/2, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2360 + -2356. Solve -f*k + 24 = -4*p, -3*k - 10 = -3*p + 7*p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:22 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -148617*c**4 - 97679847 wrt c?\nAnswer: -594468*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1 - 4 - (-1 - 4)) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1558 and 152.\nAnswer: 6232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -127*l + 3428. Let x be u(27). Let d(r) = -34*r**3 - 2*r**2 - 5*r - 3. Calculate d(x).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-978 + 245 + 71 - 655)*(-f - 3*f + 6*f).\nAnswer: -2634*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646022 is divided by 107617?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 94*h - 1036. Let x be w(14). Calculate the greatest common divisor of 376 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 b, and 1 m when four letters picked without replacement from mbdbddmabm.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36a + -a9?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/6 - h**3 - 2*h**2 - 12*h - 4. Determine b(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 328 = -4*y, -2*x = 3*y + x + 276. What are the prime factors of (-5)\/(4\/342*y + 1)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020100211122 (base 3) in base 8?\nAnswer: -2402507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 12*g - 1. Let x be j(12). Does 14 divide 1 + (-81)\/(x - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6.3 - 73311\nAnswer: -73304.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 532*g. Let j(a) = 2050*a. Determine x(j(y)).\nAnswer: 1090600*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 137190 and 5695?\nAnswer: 9191730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43102 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5091845.\nAnswer: 5, 11, 43, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 36 = -7*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b + 297?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k - 24. Does 31 divide g(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2\/65, 0.37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0318606974 to 6 dps.\nAnswer: -0.031861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*y - y - 1984 = 0, 0 = -2*d - 2*y + 796. Suppose -7*w + 3*o = -5*w - d, 3*o + 588 = 3*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30518 = 362*n - 221654. Solve 166*j = 78*j - n for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a - 21 = 0. Let y(m) = -m**3 + 23*m**2 - 40*m - 21. Let b be y(a). Suppose 19*u = b*u - 74. Calculate the remainder when u is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*k + 16. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 - 26*k**3 - 46*k**3.\nAnswer: -72*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-5))\/(144\/(-1120)*(-440)\/(-990)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/(4\/(-24)). Let h = -1 + 4. Let y(u) = -5*u**2 + 17 - 33 + u**3 + u + 0*u**h + 17. What is y(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22769 and -3174.000341?\nAnswer: 19594.999659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(276\/(-140) - -2). What is the greatest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*((-4)\/8 - 0). Suppose -v*u + 5*d = -22, 5*u - 2*d - 18 = 1. Let y be 1*0*(-7)\/84. What is the nearest to 0.2 in u, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p + 44*p + 18*p + 99*p + 6*p**3.\nAnswer: 6*p**3 + 136*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - -57. Let f be 176\/(-18) + (-18)\/b. What is the common denominator of (-5556)\/(-120) - 2\/f and 101\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**5\/60 + 3*m**4\/8 + 2*m**2 + 9. Let h = -11 - -20. Let w be d(h). Solve w = 5*p - 2*l + 30, 3*p + 3*l + 1 = 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/117 and 59\/1819278.\nAnswer: 23650614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 67140, -1 in decreasing order.\nAnswer: 67140, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 12. Suppose -5*k + 3 = z - 2, 2*z + 4*k - 10 = 0. Suppose 4*h - z*r - 45 = 0, 0 = -g*h + 3*r - 13 + 34. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(5*(sqrt(832) + sqrt(832)*1) + (sqrt(832) - (sqrt(832)*1*6 - sqrt(832)))).\nAnswer: -288*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10368 is divided by 226?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1165604*b**5 + 3*b**4 + 4945032*b**2 + 6 wrt b?\nAnswer: -69936240*b**2 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**3\/3 + 542*x. Suppose 4*v + 7 = -5. Calculate w(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-4 + 1 + sqrt(112) - sqrt(112)) + 1) - (3 + -5 + sqrt(112)*-1 + 5 + sqrt(112)*1 + sqrt(112)))**2.\nAnswer: -24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 12, d: 1}. Give prob of sequence dhhh.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 217 (b) 1\/3 (c) -3 (d) 1\/9 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 202612 - 202610. Let s(c) be the first derivative of -3*c**2 + 10*c + 1. Determine s(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/260490 and -85\/69464.\nAnswer: 1041960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 + 184. Suppose -r*m + 12 = 0, 2*m - 1839 = -5*b + m. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -190 - -237. Let l(b) = -86 + j + 45 + b**2. What is l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**7\/10 - 11*o**4\/24 + 5*o**2. What is the second derivative of w(a) wrt a?\nAnswer: 252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**2 - 3*q**2 - q**2)*(3 - 3 + 1)*(2*q + 0 + 0).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/348 and -24\/136831.\nAnswer: 47617188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 16596.\nAnswer: 82980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 d when four letters picked without replacement from {v: 2, d: 8}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 27, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19162476067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 470 = 8*i. What is the second derivative of v - 235*v**2 - 44*v**5 + i*v**2 wrt v?\nAnswer: -880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-348)\/(-2052) + 18\/342\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 6*q - 50. Calculate the least common multiple of l(-11) and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -385, -382, -379?\n\"Answer: 3*f - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1239 and 6939.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/49 in -3\/8944, 0.1, -1?\nAnswer: -3\/8944","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*((-88)\/(-14) - 5 - 1). Let -8 + 4*q - 1\/2*q**j = 0. Calculate q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*j**2 - 333*j**2 + 154*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 26, -1, -100, -301?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - s = -2, -2*m = m + 2*s - 4. Suppose m = 5*h + 4*o - 16, 7*h - 16 = 4*h + 4*o. Let w = 4 - h. Solve 0 = 2*k + q + 4, -3*k + q + 4 = -w*q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 460651, 460613, 460577, 460543, 460511, 460481?\nAnswer: 460453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**5\/5 + 32*k**2 + k - 895. Find the first derivative of h(m) wrt m.\nAnswer: 4*m**3 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1215)\/(-5) + 4\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-12) + 13 - (-1 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 199\/(-6) - (-7)\/42. Let k = 58 + g. What is the hundreds digit of 2418\/15 - 5\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1553582259 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -159610, -319219, -478828?\n\"Answer: -159609*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(98) - (sqrt(98) + sqrt(98) + sqrt(98) + -2))**2 + -2.\nAnswer: -56*sqrt(2) + 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c - 1. Let z be -3 + ((-84)\/(-8))\/(69\/46). Let f(k) = -2*k**2 - 7*k + 8. Give z*v(o) + f(o).\nAnswer: 2*o**2 - 3*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((((y*y**(2\/11))\/y)\/y)\/y))**(-37))**(-18\/7)\/((y**1\/y*y)**(1\/20)\/(y**(1\/6)*y*((y\/(y\/(y*y**(1\/4)\/y)*y))\/y)\/y*y)) assuming y is positive.\nAnswer: y**(617917\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-296)\/(-60))*(-6)\/(-4)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240968 + 1221859.\nAnswer: 1462827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 4, -1\/50 in increasing order.\nAnswer: -1\/50, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83158081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3 - -7) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533.386 rounded to the nearest integer?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (-10 - -17) - 13) + 0\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 4. Give w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10002 - -1323110?\nAnswer: 1333112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 548*u - 138. Let w be g(9). Suppose 0 = -15*c + 17991 + w. What are the prime factors of c?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -81, -156, -225, -288, -345, -396, -441?\n\"Answer: 3*d**2 - 84*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 1\/6*v**4 - 1\/2*v**3 + 0 + 3\/2*v**2 + 1\/20*v**5 - 11*v. What is x(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 4) + (-6 - (-21 - -18))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 196*l - 13*l**2 + 4*l**2 + 186*l)*(-l + 2*l**2 + l).\nAnswer: -18*l**4 - 20*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l - 479. Calculate k(-49).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 30 = 5*o. Let d = o - -37. Let c = -16 + 31. What is the remainder when d is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 8681 = -5905. Let f(x) = 4 - 4855*x + m*x + 2427*x. Determine f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.2037ms to nanoseconds.\nAnswer: 69203700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9008694 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*z - 2*z**3 + 35*z - 11 - 96*z + 85*z to the form r*z**3 + q + b*z**2 + p*z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*j = -c - 7600012, -3*j = -c + 1899991. What is c rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**3 - x**2 - 3*x + 1. Let n be a(2). Suppose 0*t - t + n = 5*m, 4*m - 76 = -2*t. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 1. Let m be ((-462)\/(-233) + -2)\/2. Let q = -703\/466 - m. Which is the smallest value? (a) q (b) 1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78165 and 23652?\nAnswer: 22824180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:09 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v + 3 + 2 - 5 to the form a*v + c and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12390)\/(-280) - 43)*(-8)\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4247 + -4245. Let s(l) = -2*l + 4. Let p be s(3). Let u = p - -2. Solve -2*v = -u*t - 5*t + 24, -y*t = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.9 + 18.74. Let h = -10 + s. Let b = h + -4.84. Which is greater: b or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 - n**2. Let b(z) = z**2. Let t = -160 - -416. Suppose 0 = -3*v + t - 19. Let h = v - 81. Give h*b(f) - k(f).\nAnswer: 4*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 4*h + 2339*h**2 + 85*h**3 - 2337*h**2.\nAnswer: 85*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/10 (b) 12 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 + h**4 - h**4)*(198 - 53*h - 404 + 206).\nAnswer: 53*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 4*w - 3. Let t be x(4). Suppose 212*g = 188*g - 1368. Let z = t - g. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09988272 times -73?\nAnswer: 7.29143856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.1 and -0.065905.\nAnswer: 1.034095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/(28\/12). Suppose -5*a + 2*a + c = -11, 0 = -3*c - 15. Suppose -i = 3*g + 7, a - 3 = 5*i - 2*g. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 207283536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35787970541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9646978*b**3*w**2 + 2*b**3 + 32388*b**2 - 2*b*w**4 + 4*b + 2 with respect to w.\nAnswer: 19293956*b**3*w - 8*b*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*i + 45720 = -21*i + 45156 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 6*g = 192. Suppose -42 = -5*q - g. Solve q - 10 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6056, 6057, 6058, 6059, 6060?\n\"Answer: j + 6055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*m = 225*m + 3*u - 90, 0 = 7*m - u + 105 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77102 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-54))\/((-12)\/(-18))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2886?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5 + 157*w**3 - 322*w**2 wrt w.\nAnswer: -120*w**2 + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 4*q**2 + 2. Let s be o(4). Suppose x = -4*h - s*x - 28000003, -h + 2*x - 6999998 = 0. Round h to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59346 divided by 30.\nAnswer: 9891\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 110*i + 474. Determine l(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6 - (-9)\/2. Let r be (9\/42 + 4\/14)*4. Suppose -16 - 4 = r*n + 4*c, -n = -f*c - 18. Let h(x) = -2*x**3 - 4*x**2 - 3*x - 1. Determine h(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/8 - 179*y\/2 - 32041\/2.\nAnswer: -(y + 358)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 1. Let u be k(2). Suppose -3*g = 5*n - 45, n + 0*g + 4 = 2*g. Let t(x) = -x + 1 - n + 4*x**2 - x**3 + 4. Give t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -107*b**2 - 48*b - 6. Let w(o) = o**2 - 1. Let q(t) = -a(t) + 6*w(t). What is the second derivative of q(x) wrt x?\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 11772596?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 244, 242, 240, 238, 236?\n\"Answer: -2*f + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-5\/2)*h)\/(h**(-3\/7)*h) assuming h is positive.\nAnswer: h**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 10*u - 8*u - 23, -c + 3 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1317\/7 (b) 4 (c) -7 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 39. Give u(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/2*1\/3*1. Let x(y) = y**3 + 11*y**2 + 2*y + 22. Let z be x(v). Solve 0 = -z*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10482286*p**4 + 11*p - 449966 wrt p.\nAnswer: -125787432*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19353\/4 + 4838. What is the nearest to x in -1\/7, 12, 3\/4, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 12. Let f = h + -6. What is the second smallest value in 5, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**3 + 11*k**2 + 3*k - 7. Let l be y(-3). Solve 6 = 4*x - l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2445, -29 in increasing order.\nAnswer: -2445, -29, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 8*c - 16. Calculate f(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309773\/22 - -14084. Let s(v) = -6*v + 30. Let x be s(7). What is the common denominator of (x\/14)\/(2 + (-18)\/3) and r?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 10*k - 9*k. Suppose 5 = -k*h + 2*h, -3*h = -3*t + 18. Solve b = -t + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45472)\/(-580) + (-2)\/5. Solve p*d - 70*d + 40 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94a7 (base 14) to base 10\nAnswer: 25627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n - 11. Suppose 7*o - 70 - 35 = 0. Let h(k) = -k**3 + 4*k**2 - 2*k + 1. Let c be h(3). Suppose 5*j - o = 3*r, -11 = c*r + 9. Calculate t(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.7 - 7. Let y be ((-2066)\/3099)\/(1 - (-130)\/(-12)). What is the biggest value in y, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20406 is divided by 1022?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b - 2. Let p be r(6). Let m = 47 + -9. Let i = m - p. What is the remainder when 47 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-2 + 3)**2*5.\nAnswer: -480*sqrt(7) + 9005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -32?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 d when three letters picked without replacement from {d: 3, z: 5, h: 5, e: 1, u: 5}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 14*r + 19. Let v be d(13). Suppose 2*b - v = -b, -4*y + 496 = 2*b. Are y and 123 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1470005194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 7, i: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 4*h**2 - 4*h**2)*(h**2 + h**3 - h**2) + 3382*h - 3382*h + 146*h**5.\nAnswer: 144*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -2 (c) 2\/7 (d) 0.1 (e) -24\/23 (f) -54\/253\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 842804 divided by -4.\nAnswer: -210701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -473\/4242 + -19\/606. Sort 1\/8, -35\/2, h, -2\/5 in ascending order.\nAnswer: -35\/2, -2\/5, h, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58.058 + 0.058. Let d = -57.34 - f. Round d to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 358343*d**3*w**3 - 82325*d**3 - 3*d**2*w**3 - d*w**2 wrt w.\nAnswer: 2150058*d**3 - 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11065, 22131, 33197, 44263, 55329?\nAnswer: 66395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10000010?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = -65*i + 96. What is the highest common divisor of i and 114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -2\/11, 5, -0.1, -5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4178059, 4.\nAnswer: -4178059, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 16*y + 1. Let d(s) = -s + 21 + 13*s - 7*s + 1 - 19*s. Let w be 78\/(-21) - 2\/7. Let o(n) = -5*n + 8. Let b(m) = w*d(m) + 11*o(m). Give i(b(c)).\nAnswer: 16*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 23 + 2)*(-2*c + c + 3 - 1).\nAnswer: -38*c + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102606 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 + 52*i**2 - 105*i - 15. Give q(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1186, 1184, 1190, 1210, 1250, 1316, 1414?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12672 and 4032?\nAnswer: 88704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1\/4, -0.5, 0.3, -54?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m**2 + 1. Suppose -12 = 5*z - z + 4*w, 0 = -2*w - 8. Let k be h(z). Suppose -2*l = -3*s + k, -l + 26 = 4*s + l. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(208)) + 0)**2 + (-4 + sqrt(208)*-1 - ((sqrt(208)*1 - sqrt(208)) + -5))**2.\nAnswer: -8*sqrt(13) + 3537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 2*p + 1. Let z(i) = -57*i**2 + 10*i - 3. Determine -4*t(k) - z(k).\nAnswer: 61*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-90)\/54)\/(5\/(-36)). Suppose 20 = -5*v, -2*v - a + 4 = g. Suppose -3*s - 2*n + 679 = g, 390 - 1527 = -5*s - 2*n. List the prime factors of s.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1431*b + 3*b**2 + 0*b**2 - 4*b**2 + 1431*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from hukykyyyykyv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + 3 - 6 - 4*a + 3 to the form j + z*a**2 + s*a and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2765 or 0?\nAnswer: -1\/2765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -66\/5. Let p be (244\/(-29))\/(70\/7). Let a = -36\/29 - p. Which is greater: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**6\/180 + t**3\/3 - 2*t. Let c(p) be the second derivative of f(p). Let d(y) = 302 + 6*y - 302. What is d(c(w))?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2909408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(6\/5)*d)\/(d*d\/(d\/((d*d\/d**(1\/6))\/d*d))*d*d))\/((((d\/(d*d**(-10)))\/d)\/d)\/(d**(1\/3)*d)) assuming d is positive.\nAnswer: d**(-93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 1597893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 1, v: 1}. Give prob of picking 1 c and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*c + 23394 - 23388, 17 = -5*c + 3*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31873, 63749, 95625, 127501, 159377?\n\"Answer: 31876*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243*x**2 + 36548 - 36548 to g + q*x + b*x**2 and give b.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(-1021*c + 104025 - 104025) to d + m*c and give m.\nAnswer: -1021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11845 + 11975. Is 3\/7 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 128, 103, 68, 29, -8, -37?\n\"Answer: o**3 - 11*o**2 + o + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*j = -4*s - 22, 0 = -5*s - 5*j + 5. Let q = 4 + 0. Let z be ((-3)\/(-6)*q)\/(-2). Put z, 4, s in decreasing order.\nAnswer: 4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266308 and 24976?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(3*2\/18). Let l(m) = m - 2. Let u be l(c). Suppose -8 = u*p + 8. Is -5 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902731.\nAnswer: 89, 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 17*l**2 + 17*l - 10. Determine s(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34689479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1176 + -1110. Let h be (4 + -3)\/((-3)\/132*-1). What is the greatest common divisor of m and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433609424 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g + 16 = 0. Suppose 52 = 2*s - 2*j, -3*s + j - g*j = -60. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44633710 to the power of 1\/2, to the nearest integer?\nAnswer: 6681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*((sqrt(242) - (3 + sqrt(242) + 1*sqrt(242)))**2 + (sqrt(120)\/sqrt(40))\/sqrt(6)) + 2)*5.\nAnswer: -18775 - 9975*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 + 4. Let z(r) = r + 8. Let d(y) = 4. Let b(f) = -6*d(f) + 3*z(f). What is b(w(s))?\nAnswer: -9*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.9. Let m = -0.1 + k. Let h = -657 - -662. Which is the nearest to -1? (a) -1\/3 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1509163 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111701 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/352067727 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3059 is divided by 1468?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025036 rounded to four dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/(sqrt(66)\/sqrt(6) + sqrt(11)))\/sqrt(5))**2*-6.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15353514 + 4?\nAnswer: -15353510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 21*k**2 + 15*k**2 + 166*k**2 + 38*k**3 + 0 - 160*k**2.\nAnswer: 38*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -112897?\nAnswer: 45158.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 s when three letters picked without replacement from swswsswe.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -59*k - 830. Determine r(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = c. Suppose -3*u + c = 2*a + a, 0 = 3*u + 9. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*u + q, 3*u - 3*q + 0*q = 18. Suppose 1000 + 103 = 5*r + 4*d, -3*d + 6 = 0. Let z(n) = 4*n + r - n**2 + 0*n - 221. Calculate z(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17136 - 9823. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 315 - 21. Let p be ((-322)\/m)\/((-2)\/(-6)). Which is smaller: -12 or p?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - n. Let d be w(-2). Let o be (4\/(-10))\/(d\/(-60) - 0). Suppose o*b - 4088 - 3514 = 2*z, 0 = b - 3*z - 1888. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 2 + (-13 - (-33 - (-7 + -32)))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -244579.\nAnswer: -48915.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 b when three letters picked without replacement from {u: 6, m: 11, b: 2}.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6106 (base 9) to base 5\nAnswer: -120321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13832744?\nAnswer: 2, 41, 181, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w + 37*w = 24*w. Suppose c - 2 = -6. Suppose -6*h = -9*h + 12. Sort w, -2, c, h in descending order.\nAnswer: h, w, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-8 - -14 - 8 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 900217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 9*f**2 - 6*f + 48. Let b be i(9). Let c(h) = 15*h**3 + 7*h**2 + 13*h - 2. Let d(q) = 7*q**3 + 3*q**2 + 6*q - 1. What is b*c(r) + 13*d(r)?\nAnswer: r**3 - 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*y - 11, -5*k - 2*y = -0 + 13. Let m = -38787 - -38787.2. What is the nearest to -0.6 in 5, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c + -3?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -63, -5 in descending order.\nAnswer: 6, -1, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -279*p + 557*p - 272*p. Let i(b) = -58*b**2. Determine a(i(z)).\nAnswer: -348*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 239b3 (base 12) to base 4\nAnswer: 23233113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6711 + 7110 = 0. What is the smallest common multiple of 1071 and s?\nAnswer: 20349","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235429467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 4*t + 9. Let k(q) = -q**2 - 5*q + 9. Let n(f) = 4*k(f) - 5*v(f). Calculate n(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*x - 2*x. Let f be (-131)\/(-184) + 270\/(-3105). What is the nearest to -2 in f, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 55 - 71. Let r be 3\/(-4) - (-91)\/156. Let w be 300\/96 - (-1)\/(-8). Which is the closest to t? (a) w (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 5 (c) -1\/2 (d) -3 (e) 2\/2453 (f) -0.1 (g) 2\/115\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 - 2*n. Let i(c) = -c**3 + c + 1. Let y(f) = -a(f) - i(f). Let j = -6 + 9. Calculate y(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -2\/7, 2\/5, -0.2463 in descending order.\nAnswer: 2\/5, -0.2463, -2\/7, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 6. Calculate h(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 348?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by 38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 34 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**3 - 17*z**3 + 49*z**3 - 17*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 284, 265, 232, 185, 124?\n\"Answer: -7*d**2 + 2*d + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77572 and 41.\nAnswer: 77572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**(-5\/8))**(4\/15) assuming x is positive.\nAnswer: sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -11. Let g = o + -3. Suppose g*t + 10 = 5*t. What is the second smallest value in -1, -4, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214.3665mg to micrograms.\nAnswer: 214366.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/(-4*(-2)\/(-80)). Let k(i) = 3*i - 37 - 2*i + 44 + 2*i. Let w(g) = -g - 1. What is x*w(c) + k(c)?\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 1)*12\/18. Let q be -32*a*18750\/(-16). Round q to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**3\/3 - r**2 + 13*r. Let f be a(3). Let b be (16 - 0)*(-3 + f). Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*i - 46, i - 2*i + 17 = -5*v. Suppose -i - 8 = 5*x. Let c(t) = -4*t - 9. Is 7 a factor of c(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-1*sqrt(672) - sqrt(672)))\/(sqrt(36)\/sqrt(48)))\/(((-2*sqrt(440))\/sqrt(11))\/(sqrt(500)*1 + sqrt(5))).\nAnswer: 176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 51 + 75 = 0. Suppose -4*d - 2*m = -2722, 670 = d - u*m + 6*m. List the prime factors of d.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 728\/910*6\/(-4)*(2700\/(-42))\/10\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 18. Let m(c) = 7*c**2 + 3 - 8*c**2 - 8*c - 2. Let s be m(-7). Is s smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102254163 + -1?\nAnswer: -102254164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) -0.4 (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 55*x**2 - 326*x - 22. Let l be p(6). Solve -l*t + 5 = q + 6, 4 = 5*q + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.00314964 and -363.\nAnswer: -363.00314964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -18. Suppose -60 = 6*y - 3*y. Let c = d - y. What is the lowest common multiple of 22 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (0 + -1 + 2) - (-2376 - -2364) - 13\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4842813692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/1737 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*c, 0 = -0*c + c + 2. Find the third derivative of -b*n**3 + n**3 + 11*n**2 - 8*n**2 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 - 2*s**2 + 4*s + 10. Let l be b(-2). Solve -2*g + l = 0, 4*w + g = -g - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 2:13 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xonx when four letters picked without replacement from {x: 4, n: 6, o: 3}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = 11, 5*s - 4*n = 1078. Suppose 3*x = q - s, -4*q - 5*x + 301 + 538 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 - 226 = -12*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 244*k + 4120. Calculate y(18).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 103260.6 to the nearest 1000.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*o = -35, 61269*i + o + 7 = 61260*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5 - 124*k**4 + 760*k**3 + 3064*k**2 + 3332*k + 1156 = 0. Calculate k.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2 + -4 - sqrt(51)\/sqrt(48))**2.\nAnswer: -14*sqrt(17) + 1089\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n + 180 = 46*n. Let w be (-3)\/(9*5\/n). Solve 2*s = b - s + w, -5*b - s - 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 0.5 (c) -2\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 13*b + 3*a + 11 = 0, -a = 2*b + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2183? (a) 0.3 (b) 0 (c) 551\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 318 + -11?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1*(5 - 0). What is the third derivative of -2*i**2 + 0*i**5 + 0*i**5 - i**c wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148292 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 5:10 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 6422?\nAnswer: 6422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yms when three letters picked without replacement from {h: 1, y: 3, s: 1, e: 4, f: 6, m: 1}.\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*j**2 - 2*j**2 + 6*j**2)*(-9*j**3 + 4*j**3 - 5*j**3).\nAnswer: -20*j**5 - 50*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110884861 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283009 is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:21 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-68\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/9 - 100*q**3\/3 - 370*q**2 - 2440*q\/9 + 2024\/3 = 0 for q.\nAnswer: -138, -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 2?\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27367254?\nAnswer: 2, 3, 41, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*z + 9 + 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3774903*w**3*x**2 + 1821094*w**3*x - w**3 + x wrt x.\nAnswer: -7549806*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -19*g**2. Let d(v) = -6 + v + 6 + v. What is q(d(x))?\nAnswer: -76*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = l - 0*l + 5*m, 3*l - 21 = 4*m. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -315, -472, -629, -786?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3531101 divided by -1\nAnswer: -3531101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 5*w - 3, 1 = -5*w + 4*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**3 + 650*s - 2*s**2 - 5 - 663*s - 2 - 45 as f*s**3 + o*s**2 + x*s + y and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51605 is divided by 154.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 - 2*x**2 + x + 6. Let h be y(-2). Suppose 14*b = 106 + h. Suppose 0 = z - 17 - b. What is the greatest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -1207\/640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67.9 + 55. Let g = f - -12.9106. Round g to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = f - 5*t, 1 = 3*f + t - 55. Suppose -x + f = -4. Let b = 3 - -7. What is the least common multiple of b and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 138279809, 276559621, 414839431, 553119239, 691399045, 829678849?\n\"Answer: -r**2 + 138279815*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven tenths of a century?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 2\/793, -140.\nAnswer: -140, -0.12, 2\/793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13226 - 41054 = -4*h - 2*x, 0 = 2*x + 12. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 17*q + 7. Determine d(14).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10304101 (base 10) to base 13.\nAnswer: 219a102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1839.5*-5945.\nAnswer: 10935827.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 87 + 77 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -11 + (-328)\/(-16))*(-2)\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (-14 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18629 in 1\/11, -4, -1, -14?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.9 + 106.1. Let y = 139 - v. Let s be 6\/40 - (-1)\/4. Which is the closest to s? (a) y (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25baa (base 13) in base 14?\nAnswer: -1b798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-77)\/(-11))\/(-644)*-4.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44412 - 42643. Calculate the remainder when u is divided by 83.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -1. Let o = -3.1 + 2.9. What is the closest to 0 in -2, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/27 - (2 + 51\/(-9)). Solve -2*d + 16 = -4*o, -d + k = -o - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 2. Suppose -3*v - r*t = 16, v - 18 = -0*v + 4*t. Let h = -1 - v. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g + 0*g)*(8 - 6 - 9).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 973 + -976. Let z = -29 + 30. Let g be (-4)\/6*(0 + 3). Sort z, c, g.\nAnswer: c, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6889 - 6885. Suppose -2*k = 2*z, 6*k + 4*z = 5*k - 9. Suppose -6*q + 3*q = -k. Let m(p) = p**2 - 7*p + 4. Let a(w) = w - 1. Give q*m(j) + s*a(j).\nAnswer: j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3934081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + i**4 - 3*i**2 + 2*i**4 + 2*i**3 in the form l*i + q*i**4 + w + g*i**3 + r*i**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2 - 890952*a - 66149622192 = 0.\nAnswer: -148492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(sqrt(99) - (2*sqrt(99))**2)*2 + (sqrt(99)*3 + -5)**2 + sqrt(99)*4*-6.\nAnswer: -7004 - 102*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-21))\/(265\/(-636)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5764*d**3 - d**2 + 17*d + 46. Is 20 a factor of m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1870347 (base 11) to base 5.\nAnswer: -1302202440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 2*v + 1553 + 475 + 24 - 4*v.\nAnswer: -2*v + 2141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -38000*s + 380021. Calculate c(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 25, -2*d + 5*h + 0*h = 11. Calculate the remainder when 175\/d - 1\/(-1) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4105912 (base 10) to base 6\nAnswer: 224000504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 12 = -5*t + 3, -13 = 3*t - 5*q. What is the fourth biggest value in -2\/3, t, 1\/6, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 63*h + 20. Let g be k(3). Let z = 11 + g. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18595979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 2*v**2 + 543674*v - 547179*v - 3 to the form w*v + s + u*v**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - 134 + w**4 + 136 + 8*w**5 - 3*w**3 - 2*w**5 + 3*w**3 + (-w**4 + 0*w**3 + 0*w**3)*(-4*w + 0*w + 6*w) + 2*w**5 - 2*w**5 - 2*w**5.\nAnswer: 2*w**5 - w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u + 15. Suppose u*b = 19 + 26. Let p be (2\/5)\/((-33)\/b). Is 0 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8935, 17867, 26801, 35737, 44675?\n\"Answer: a**2 + 8929*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11411 (base 7) to base 10\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 774931951 a multiple of 1653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 22*t**2 + 19*t - 29. Let c be r(-23). Let y be (84\/c)\/(1\/12). Let s = 37 + -29. What is the highest common divisor of s and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -3*w**2\/2 + 38*w + 696. Let l(q) = -2*q. What is g(l(y))?\nAnswer: 6*y + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0084378008 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4 + 4)*(-1)\/(-2))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*c + 392 = 0, 3*a - c = -0*a + 584. Suppose 0 = 5*l - 6*r + 2*r - a, 3*l - 5*r = 130. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o - 5 - 3 - 8*o**3 + 5*o**3 + 3 - 3*o**2. Let b be m(-4). Suppose -n = 2*k - 1263, 4*k + 6380 = 5*n + b. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163253464 (base 7) to base 12\nAnswer: -3877034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 491559\/983134 - 13\/26. Let x = c + -44723501\/1117823358. Calculate the common denominator of x and 67\/8.\nAnswer: 9096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 1)*(-4 - -5). Which is the closest to p? (a) -1 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5356 - 5266. Let t(y) = -y**2 + y. Let l(b) = -2*b**2 + b - 2. Let s(w) = -l(w) + t(w). Let x be s(4). What is the highest common factor of x and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*k - 47*k - 17*k**2 + 100*k to a*k**2 + o*k + n and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 322092.\nAnswer: 1610460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z + 69*z - z - 7 + 87*z.\nAnswer: 127*z - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**3 + 8 - 13 + 5.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1164*t - 5*t**2 + 5 - 1164*t to y*t + z + b*t**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -8.\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6536776455311\/7656 + -853810924. Let j = g + -79\/232. Let v = 17251\/750 - -104\/125. What is the common denominator of v and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64281600 by 4320.\nAnswer: 14880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 24 = 3*s, 10 = -s + 6*s. Suppose 0 = l*j - 35 - 10. Solve -2*t - 2*v + 7 = -j, 0 = -t + 2*v - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 3*a**2 + 5. Let m be j(-2). Suppose 8*i + 2 = m*i. Solve r - 16 = -3*r, 5*k + 18 = i*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 1 + 3*p + 5 - 4. Let j(q) be the third derivative of 1\/24*q**4 + q**2 + 0 + 0*q + 1\/6*q**3. Determine 4*j(n) - 2*v(n).\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 29 = 34 - 33 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*o**3 - 86 - 217 - 55*o**3 to the form m + i*o**2 + l*o + r*o**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12613 - -12639. What is the highest common divisor of 1287 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 4. Let b(v) = 0 + 1 + 7 - 4*v - 13. Let s(x) = 3*b(x) - 2*g(x). What is the first derivative of s(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o - 8 = -2*q, -17 = -2*q - o. Let r be -3 - (0 - -1 - q). Suppose r*s + 2977 = 11515. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 8:47 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212 + -210. Put a, -5, -4, -3 in ascending order.\nAnswer: -5, -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 14) to base 4.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 + 4) - (-3 + 12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 15*k + 3*k - 8*k.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -25. Let q be 2044\/11160 - (-6)\/(-15). Let s = -1\/186 + q. Put f, s, -0.3 in decreasing order.\nAnswer: s, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*x**3 + 44*x + 86*x**3 - 46*x to u + r*x**3 + y*x + k*x**2 and give r.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -210065 (base 9) in base 2?\nAnswer: -11110011100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 185*(4 + (-44)\/(-4))*120\/4500?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -22591633930\nAnswer: 22591633934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 2*t**2 - 3*t - 2. Let l be q(-1). Put l, 9, 1 in increasing order.\nAnswer: l, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 61038 and 1216521.\nAnswer: 1277559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 2\/13, 4, -0.23, -41?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 6. Let n be v(4). Let p = 207 + -141. What is the greatest common divisor of n and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.745 take away 0.3?\nAnswer: -3.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2110011011 (base 3) to base 5\nAnswer: 3020401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -0.03, 0.4, -9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062 - 1057 - 1058 + 4232 - 3*i + 0*i - 1055.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 265.53072 - -0.14928. Let b = t - 44.67. Let a = b - 222. What is a rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/((-200)\/1050)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 43*d - 26. Let n be v(6). What is the first derivative of -14 + 39*t - 97 + 2*t**3 + 45 - n + 0*t**3 wrt t?\nAnswer: 6*t**2 + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1098 = -3*v, -5*x + 3*v - 879 = -9*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89a (base 13) in base 14?\nAnswer: -779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x. Let y(a) be the second derivative of -a**4\/12 + 97*a. Calculate b(y(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 2 + 2)*(-4 + 5 - 6 + (6 - 1 - 2)*(-2 + 1 - 6))*(10 + 4 + 3)*(3*k - k + 0*k) in the form p*k + y + f*k**2 and give f.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 2*f**2 - 4. Let d be b(-3). Find the second derivative of 3*q**2 + d*q**2 - 3*q - 6*q**2 + q wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 7*j + 7. Calculate o(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270833*h**3 - 807213*h**2.\nAnswer: 1624998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -16. Let s = -150 + 150. Suppose -t = 3*w - 6, -2 = -2*t + 4*w - s*w. Calculate the highest common divisor of k and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008795 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(425))**2*-1.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 59*x. Let v(b) = -1176*b**2 - 250*b - 3. Let p(n) = -v(n) - 4*y(n). What is the second derivative of p(g) wrt g?\nAnswer: 2344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 14 + 4. Let j(b) be the second derivative of -b**3\/6 - 4*b**2 - 5*b. Determine j(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 6.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/1)\/((-4)\/(-16)). Suppose a*s - 1447 = 169. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 8*x - 23. Let j be n(5). Let t be (-4012)\/j + (-2 - (-9)\/6). Let l = -341 + t. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f - 23. Let u be o(6). Suppose 5*l - 127 - 28 = -5*y, l = y + 25. Calculate the greatest common factor of u and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9888 + 9896. Let j(s) = 79*s + 3. Let r(i) = -26*i - 1. Calculate h*r(f) + 3*j(f).\nAnswer: 29*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -7292, 29, -5, 7?\nAnswer: -7292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 3*v + 4. Let b be w(-4). Let d be (-73)\/(-4) + 6\/b. Suppose t - d = -3*t + 3*r, -4*r - 15 = 5*t. Solve -1 = -2*j + t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 + 3*l**2 - 3*l**2 - 2*l**3 - 337 + 0*l**2 + 6*l**2 in the form c*l + y*l**2 + u + q*l**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 10442253?\nAnswer: -10442245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/14)\/b**(-25) assuming b is positive.\nAnswer: b**(353\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 16\/5 of a microsecond?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -93059 and -526.\nAnswer: 48949034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**6\/210 + 3*a**5\/140 - a**4\/84 - a**3\/14 + a**2\/7 + 51*a - 2. Factor t(m).\nAnswer: -(m - 2)*(m - 1)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47100 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 414.8.\nAnswer: 414.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25527 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: Calculate (4*(-25)\/15)\/(24\/(-18)*2645\/230).\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4533 and 24.\nAnswer: 36264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/4)\/((-15)\/(-12)). Let t = 8 + n. Factor t*u - 2 + 7 - 49*u**2 + 54*u**2.\nAnswer: 5*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08834 take away -25230.867?\nAnswer: 25230.77866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 34 = 4*u, 8*o + 4814 = 4*u + 152*o - 82 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.23 - -16.23. Let h = 9 + -4. Suppose 5*m - 33 = i - 9, -29 = -4*i - 5*m. What is the third smallest value in i, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tootoootooo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3\/8 (b) -1\/3 (c) 0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -241780 (base 12) to base 8\nAnswer: -2163420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -6*y**2 - 1\/36*y**4 - 1\/180*y**5 + 0 + 0*y + 0*y**3 + 1\/360*y**6. Suppose k(g) = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g**2 - 19*g - 25. Let d(i) = -5*i**2 + 9*i + 12. Let k(c) = -9*d(c) - 4*r(c). Let m = -4084 - -4091. Calculate k(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1670892, 3341784, 5012676, 6683568, 8354460, 10025352?\nAnswer: 11696244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/4))**(-5\/3)*(x**(-3\/17)*x)\/(x*x*x**13))**(-6\/29) assuming x is positive.\nAnswer: x**(2637\/986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312240 = -2411*h + 2435*h. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 5. Calculate the smallest common multiple of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2723\/4071 + 3\/1357. Are q and 2\/5335 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/(((-27)\/2)\/(-9))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5*v - j**5 - 84*j**3*v - j**2*v + 3*j**2 + 2*j wrt j.\nAnswer: -120*j**2*v - 60*j**2 - 504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -274, -566, -858?\n\"Answer: -292*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.278 + -1.278. Which is the closest to 0? (a) 0.3 (b) y (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -10. Let s be q*2\/3*-3. Let a be ((-15)\/s)\/((-4)\/(-8)). Solve 2*v = 2*p + 16, 0*v - a*v - 2*p + 19 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5, 133*a = 136*a + 2*x - 28. Solve o = k - a, -4*o - 23 = -3*k - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**2. Let y(z) = z**2. Let w(c) = -k(c) + 3*y(c). Let v(s) = 8*s. Let o(d) = 3*d. Let g(b) = 5*o(b) - 2*v(b). Calculate w(g(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 9*x**2 - x + 17. Determine g(-7).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r + 6*r + 6*r**3)*(0 - 7 - 5) + 1 + r**3 - 1 + (-2*r**3 + 3*r**3 + r**3)*(-2 - 10 + 2) as o*r + b*r**3 + g + k*r**2 and give b.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*(-1 - 7\/(-5)). Let u = -4.363 - -0.363. Suppose 0 = -3*y + 3*z + z - 10, -5*y = -z - 6. Which is the nearest to y? (a) u (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 + (2 - 6) + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10840, 10880, 11078, 11542, 12380, 13700?\n\"Answer: 18*v**3 - 29*v**2 + v + 10850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 26. Let x = 28 - q. What is x rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5272 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -13, 0.1, -2\/11, 1\/30758, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 143 = 3*v, -v - 32 = 2*d + 23. Let q = v - -99. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d + 2*d - 2*d**2 + 4*d + 65 + d**2. Let a be w(0). Suppose 3*o - a = -17. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 303135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)\/(n\/(n\/(n\/n**(-4)))))\/(n**(-6\/5)*n\/(n**(-7\/6)*n)))**(-20) assuming n is positive.\nAnswer: n**(418\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1051548 - -4?\nAnswer: -1051544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -358*l**2 - 5*l - 2. Let u(a) = -12*a**2. Determine m(u(v)).\nAnswer: -51552*v**4 + 60*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c = 11*c + 1023. Calculate the remainder when c is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6561 by -9.\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16267830 by 2711305.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4. Let n = k + -1. Suppose -3*i + 0 + 24 = n. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10 - 34\/10. List the prime factors of ((-20)\/(-6))\/((-1)\/b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 102 - 4 = 5*h, 156475*h - 156470*h + 7*f + 117 = 0 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, -3\/32, -2.6 in descending order.\nAnswer: 0.5, 0.4, -3\/32, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12334995 divided by -4111665.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab + 15114?\nAnswer: 15203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -818, -748, -678, -608, -538?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10163576*l - 3 - 11*l**2 + 10163576*l - 2*l**3)*(-l - 1 + 1).\nAnswer: 2*l**4 + 11*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460275 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36389, 73475, 110561?\nAnswer: 147647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 614 = 3*h. Let f = 287 - 154. Let r = h - f. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*k = 124*k + 6525. Is -726 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (5 + 1 + -1 + (sqrt(200) - sqrt(200)*1) + 1 + sqrt(200) + sqrt(200) + 1)**2.\nAnswer: 280*sqrt(2) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 25652\nAnswer: -6\/6413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 3*l**2 - 2*l**2 + 4*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7022600 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 11*f + 42 = 5*x, -21 = -12*f + 13*f - x for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/7, -675, 49, 5, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 2:56 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/3 + 0. Let w = 1 + 0. What is the nearest to 2 in v, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -14. Let y be (-57)\/(-21) + (-2)\/(-7). Suppose z - u = -2*z + y*x, 2*z + x = 30. What is the greatest common factor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b + 55 = 5*o, -2*o - b + 22 = 0. Let n = o + 10. Suppose -p + 6*w = w - n, 4*w = 3*p - 52. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - x = 15 - 22, -p + 4*x = -3*x - 21 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 30*p**3 - 60*p**3 + 32*p**3.\nAnswer: 2*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 439, 1275, 2139, 3031?\n\"Answer: 14*q**2 + 794*q - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 4*c**2 + 5. Let q be f(4). Let k(y) = -y - 6 + q - 12. Let d be k(-17). Sort 3, -4, d.\nAnswer: -4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212 + 23?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(4\/12*-3). Suppose y = -6*j + 135 + 39. Let r = -32 + j. Let h(m) = -2*m - 3. What is h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -131 and 6272857.\nAnswer: 6272726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 27*b + 24 = 0. What is the units digit of (b\/24)\/((3\/(-188))\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + t + 1. Let a be u(-2). Let g = -3 - a. Let o(c) = g*c + 2 - 2 + 4. Let y(l) = -2*l - 3. Determine -3*o(j) - 4*y(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20641714 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 4 (c) 3.91 (d) -1 (e) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 642730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -8 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19495709249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1501.9 - -1501.8. Sort 5, o, 1\/4, 55, -1 in ascending order.\nAnswer: -1, o, 1\/4, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*n - 6, 0 = -4*m + 3*n + 28 + 3. Suppose -k + m = -2*l, 0 = -3*k - k - 5*l - 10. Suppose -2*z + 0*z + 102 = k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, -5, -91, -279, -605?\n\"Answer: -6*y**3 + 3*y**2 + 13*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 3*a**4 - 3*a + 9*a - 48*a**4 - 9*a + (5*a - 2*a - 2*a)*(-2*a**3 - a**3 + a**3) - a - 2*a**4 + a + 3*a**4 + 0*a**4 - 2*a**4.\nAnswer: -54*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94 - 8*o - 94 + o**5 wrt o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6071)\/39)\/(1\/126). Let u = -11114 - a. What is u rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/30 - 64*p**3\/15 - 1024*p**2\/5 - 91*p. Find z such that w(z) = 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(114) - sqrt(114)) + sqrt(114))\/(sqrt(6) - (sqrt(6) + sqrt(324)\/sqrt(6))) + (1*sqrt(95)*1 + sqrt(95))\/(sqrt(25)\/(sqrt(5)*3)))**2.\nAnswer: 4864\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1430 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26391?\nAnswer: 3, 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9697389, 9697432, 9697477, 9697524?\n\"Answer: j**2 + 40*j + 9697348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6 + 2*l**4*s**3 + 5*l**3*s**3 - 29*l**2*s**3 - 5*l**2*s wrt l?\nAnswer: 240*l**3 + 48*l*s**3 + 30*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -6*b + 0*b**5 - 13\/12*b**4 + 2\/21*b**7 + 0 + 0*b**2 + 22\/3*b**3 + 0*b**6. What is the second derivative of o(s) wrt s?\nAnswer: 80*s**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3016*k**3 - 1289*k**2 + 4*k - 16. Let r(x) = 3015*x**3 + 1287*x**2 - 3*x + 12. Let c(s) = 3*d(s) + 4*r(s). Find the third derivative of c(n) wrt n.\nAnswer: 18072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 6*n - 4. Let r be (-5)\/(-2)*(-1 - 1). Let o be y(r). Suppose -20 = -4*v, 4*v - v - 19 = g. Sort o, -3, g in descending order.\nAnswer: o, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 0 - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3692450*z**5 + 6177*z + 6.\nAnswer: 73849000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5052 + -5047. Let l be -5*-1*(-8)\/(-10). Solve l*u - s*b + 20 = 0, -4*u + 3*b - 9 = 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 11) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -98.033, 4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/18)\/7)\/((-4)\/24).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*t - t, 0 = -4*t + h + 15. Suppose -3 = -a + 2*c + 7, -t*a = 2*c - 26. Find the third derivative of 0*w**a - 3*w**6 + 2*w**6 - 2*w**2 wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5334*w**3 + 1041*w wrt w.\nAnswer: 32004*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 10:23 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**7\/360 - b**5\/30 + 4*b**2. Let a(u) be the third derivative of t(u). Is a(1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*q + 519 + 16691 = 0, -6860 = -2*l - 4*q. What is l rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11469 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 10:58 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.1274 millilitres in litres?\nAnswer: 0.6681274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - ((-7 - 5) + 7)) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6582, -6580, -6578, -6576, -6574?\nAnswer: -6572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 27 = -5*j, -25*v = -29*v - 2*j + 174. Solve -v + 18 = -6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9918556579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28820 is divided by 4796?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 1 r when three letters picked without replacement from ekrervvvwwwt?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 2)*9\/(-12). Let o = m + 3. Solve o = -5*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 615\/128, 2\/11 in ascending order.\nAnswer: -139, 2\/11, 615\/128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 1585*r**6\/6 + 23*r**3\/3 + r**2\/2 - 282. Find the third derivative of z(c) wrt c.\nAnswer: 95100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 30)*(-1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 17.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-4\/7)*f*f)\/f)\/f*f**(2\/19))**34 assuming f is positive.\nAnswer: f**(2414\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x - 38*x - 189*x = -3196 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43414 is divided by 4753?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:19 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148 is divided by 761?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(420\/59843) - (-1)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119859 and 12.\nAnswer: 479436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1747726207 and 28209?\nAnswer: 9403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13301157 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -19*g**8\/168 + g**5\/60 + g**4\/6 - 43*g**2 - 2. What is the third derivative of k(h) wrt h?\nAnswer: -2280*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0233832 to 4 dps.\nAnswer: 0.0234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - ((sqrt(198) + sqrt(198)*-2)\/sqrt(11) + sqrt(18)))\/(-6*-2*sqrt(9))*3*6.\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Let p(z) = z**2 + z - 1. Let b(m) = -2*m**2 - 6*m**2 + 4 - 2*m + 6*m**2 - m**2. Let a(q) = -2*b(q) - 4*p(q). Give a(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06667 * -4\nAnswer: -0.26668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 9:07 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = -3*r - 67, -3*q = -12. Let x = 12 + r. Let y = x - -5. What is y rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11800 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 157423225 divided by 281?\nAnswer: 560225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 385 - 813. Let v = h - -671. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12305037 and 462.\nAnswer: 1894975698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390484.\nAnswer: 2, 41, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0 + 4. Suppose -49 = 9*o - 49. Suppose -124*g + 121*g = o. What is the smallest value in 2\/3, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7 + 7 = 0. Let x(j) = 2*j + 4. Let y(u) = 5*u + 9. Let k(n) = v*x(n) - 3*y(n). Let s be k(-3). Solve -s + 14 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/15))**(-8\/7)*q**(8\/5)*q\/q**8)**(-30) assuming q is positive.\nAnswer: q**(1166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*i**3 - 8\/5*i**2 - 6\/5*i + 36\/5.\nAnswer: 2*(i - 3)**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -311 + 583. Suppose 5*b + 2*t - 52 = 0, -3915*b = -3918*b + 2*t + 12. What is the lowest common multiple of v and b?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, u: 6, p: 4, c: 1}. What is prob of picking 2 p?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6190 (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34567580 by 18665.\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*h**3*p - 212*h**2*p**3 + 3*h - 5133*p**3 wrt h.\nAnswer: 252*h*p - 424*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 3*y**2 + 3*y - 4. Let c be h(3). Suppose -c*t - 54 = -11*t. Let m = t - -64. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/16 and -11\/1668.\nAnswer: 6672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 8*m - 7. Let t(k) = k**3 - 8*k**2 + 6. Let v be t(8). Let x be z(v). Let r = x + -3. Solve r*a + i = 5*i + 8, -3*a - 32 = 5*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31133, 30259, 29385, 28511, 27637?\n\"Answer: -874*g + 32007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-2)*10\/8. What are the prime factors of (-1)\/a - (-1288)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54*(-4)\/(-36)*6. Suppose 28*c + 23*c**4 - 10 + 5*c**5 - r*c + 30*c**3 + 4*c**2 + 10 = 0. What is c?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 - 8*v + 5. Let a be r(-8). Solve y = 2*b + a, 4*y + 2 + 17 = -5*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 132, -6 in decreasing order.\nAnswer: 132, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*q + 6*n + 1713, -4*n = -2*q - 674. Is -341 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2701 + 2700.7. What is the third biggest value in 5\/6, -3\/7, t, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 370 - 530 = 0. Let c(l) = -16*l - 2. Let s(g) = -350*g - 45. Let m(y) = d*c(y) + 4*s(y). Let z(r) = 2*r**2. What is m(z(u))?\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/17 - 12*i**2\/17 + 2*i\/17 + 12\/17.\nAnswer: -2*(i - 1)*(i + 1)*(i + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f + 7. Let m be n(-3). Let s = -17 + m. Suppose -3*h = 9 - 24, 77 = s*p - 5*h. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110111100 (base 2) to base 9.\nAnswer: 3368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26592*b**3*t**2 - 29389*b**3 + 4*b*t**3 - 2*b*t wrt t.\nAnswer: 53184*b**3 + 24*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -317\/4, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*t - h + 210, -t + 5*h + 112 = 0. List the prime factors of t.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 50. Which is smaller: -1.1 or v?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 13*w - 17. What is the units digit of g(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29893, -62105, -94317?\nAnswer: -126529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050 (base 7) in base 6?\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zizittzttuituuzipl. What is prob of sequence ut?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**4\/3 + 4*i**3\/3 + 24*i**2. List the prime factors of u(-16).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80961680*i**3 + 2*i**2 + 44704090?\nAnswer: -242885040*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, j: 4}. What is prob of picking 4 s?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 + 5 = 0. Suppose 0 = -r*c + k + 31 + 3, 2*c - 3*k = 24. Solve c*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2\/15 + 134*s\/15 - 168\/5 = 0.\nAnswer: 4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (748\/(-24))\/((-4180)\/570)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*r = 0, 3*r + 4 = 13*t - 9*t. Solve -3*l - 11 + t = -5*d, 0 = 2*l + 4*d + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 13) in base 10?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u + 1075*u**2 + 5*u - 6*u + 172*u**2 - 1006 + 4*u wrt u.\nAnswer: 2494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*34*(-40)\/21760)\/((-474)\/8)?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a litre in millilitres?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 194*t**3 + 2*t**4 + 6*t - 92*t**3 - 2 - 98*t**3 as f*t**4 + c + i*t**2 + h*t**3 + g*t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c + 2 = 0, 0 = 3*w - 4*c - 148. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*f - 16, -2*f + 14 - 2 = -3*h. Suppose 3*t + x + 11700004 = f, t + 0*x + 3900008 = -2*x. Round t to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q + 5. Let o(r) = 60*r - 35*r - 26*r + 34*r**2. List the prime factors of o(q).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000092208 rounded to six dps?\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/69527726 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3233912 divided by -3?\nAnswer: 3233912\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 9:50 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4873, -1.4, 56 in ascending order.\nAnswer: -1.4, 56, 4873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 2*c - 3*u, -2*u = -3*c + 14. Solve -q = k - 2, 2*k + 5*q - c = 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813026459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3)*h)**(3\/28)\/(h**(4\/9)*h*h**(2\/9)\/h))\/((h\/h**(1\/2))**(9\/2)*h**(3\/2)\/h**(-2\/13)) assuming h is positive.\nAnswer: h**(-1199\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-43 - -50) + 48 - 41.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 12*s**2 - 11*s + 2. Let b be d(-11). Suppose q - b = -q. What is the closest to q in -0.4, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*u + 245 = -70, u - 5 = 0. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 579 and 631303?\nAnswer: 1893909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/5 + 1437*i\/5 + 62118\/5.\nAnswer: -(i - 1479)*(i + 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 145671 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: Let s be (-1 - -1)*(-2)\/(-4). Suppose 91 + 9 = 10*g. Suppose g*h - 22 - 108 = 0. Solve 3*b - 2 - h = s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*l - 71, -24 = -l - l - 4*u. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(30\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31750294\/3 or -10583432?\nAnswer: -31750294\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from riljjcj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/3, -1\/237, 0.2, 10\/9?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/21 + 2230*c**3\/21 + 169600*c**2\/7.\nAnswer: 2*c**2*(c + 320)*(c + 795)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {h: 2, k: 2, w: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1970*o**2 - 6*o + 5383. Let b(l) = 2*l**2 - 2*l - 10. Let z(y) = 2*b(y) - d(y). Find the first derivative of z(h) wrt h.\nAnswer: -3932*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12752 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 6*c - 6. Let i be b(4). Solve -k - i = 0, 4*k = 4*n + 6 - 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -3*t - 12, 19*t - 14*t - 7*b = -32 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 - 4 = 0, k - 2 = -4*f. Let g(r) = -r**2 + f*r**2 - r**2. Let b(u) = -3*u + 2. Let p(l) = -l + 1. Let m(d) = 3*b(d) - 6*p(d). Determine m(g(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 + 2 = 0. Let k be (5\/((-15)\/12))\/a. Let o(l) = 3*l**2 + 7*l + 4. Is 24 a factor of o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 + 2*q**2 - 1. Let m(z) = 3*z**3 - 2*z**2 + 1. Suppose -5*x + 5 + 10 = 0. Suppose -4*j - 14 = 3*i - 2*j, 0 = x*j - 6. What is i*m(y) - 5*h(y)?\nAnswer: 2*y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10198 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2109 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103008247 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1520 - 7623\/5. Calculate the common denominator of h and -155\/624.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w*w*w**(9\/10))**(-37) assuming w is positive.\nAnswer: w**(-1813\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 13*l + 9. Let t(o) = o**2 + o - 6. Let a be t(3). Let s be v(a). Suppose -3*h = -9 + s. Solve -3*g = h*g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5016, 19694, 44116, 78282, 122192, 175846?\nAnswer: 239244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 - 50*b - 868. Give t(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z + 536 = -40*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 - -87. Let a = -40 - b. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (2 + sqrt(1584) + sqrt(1584) + 2)) + sqrt(1584)*-3*4)**2 + (sqrt(99) - (sqrt(99) + sqrt(99) + 5*sqrt(99)*1))\/(3*sqrt(576)).\nAnswer: 4991*sqrt(11)\/4 + 267712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -95419589.42 rounded to the nearest one million?\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/32 and 91\/20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3995 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10264434542 + 0?\nAnswer: -10264434542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.9 + -4.9. What is the nearest to -1\/4 in 0.4, s, 13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44109, -89367, -134625, -179883?\nAnswer: -225141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 308789604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4558, 18237, 41044, 72985, 114066, 164293, 223672?\n\"Answer: q**3 + 4558*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -262*a + 253*a. Let l be (-64)\/(-20) + 3\/(-15). Solve 0 = l*s + s - a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*g**4 - 111 + 111 + (g**3 + 3*g**3 - 6*g**3)*(g - 2*g - g) - 3*g**4 + 0*g**4 + 2*g**4 + 0 - g**4 + 0.\nAnswer: 14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22038 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*n - 4 + 0 + 0*n + 0*n - 2*n + (-2 + 2 - n)*(2 + 1 - 2) + 0 + 0 - 2*n - 2*n - n + 5*n to f + v*n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 0*r**2 + 0*r**2. Let x(i) = 2*i + 38. Let w(m) = -2*m - 57. Let v(s) = -8*w(s) - 12*x(s). Give o(v(y)).\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 7*m**2 + 2*m + 1. Let z(b) = b**3 + 8*b**2 + b. Let q(v) = -4*g(v) + 3*z(v). Let t be q(-2). Which is bigger: t or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2226536 and 2981?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13733985258 - 194610571217743\/14170. Let w = l + -6\/1417. Let s = 486297\/119696 - 2\/7481. Find the common denominator of s and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 227 and 227 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 15*y + 15 = 0. Suppose y*g - 19 = 5*k + 11, -2*g = -4*k - 16. Suppose -g*r - a + 20132 = -6*a, -10066 = -2*r - 4*a. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 457, 1837, 4135, 7351?\nAnswer: 11485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8589.142 rounded to the nearest 100?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -2) + (5 - -2). Suppose 2*n + i - 896 = -3*n, a*i = -n + 164. Suppose 9*y - 13*y = -n. Solve 5*h = -25, -3*z - z - 5*h = y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is the product of 0.176 and -562?\nAnswer: -98.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -41\/3, 0.26, 989?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/2)\/(1\/2). Let h be (7 + q)*(-50003)\/(-2). Suppose v + 2*y - 50002 = 4*y, v - 3*y - h = 0. Round v to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12 + 4*l - 2*l + 2*l + 5*l wrt l.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l**4 - 6*l**3 - 6*l**2 - 6*l - 8. Let y(o) = 6*o**4 + 5*o**3 + 5*o**2 + 5*o + 8. Let p(h) = 5*i(h) + 6*y(h). Differentiate p(g) with respect to g.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161744773 a multiple of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let v be o(-4). Let l = 9577.4 + -9577. Sort v, 1\/4, l, -0.5 in increasing order.\nAnswer: -0.5, 1\/4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*d = 262*d + 164. 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: -359 divided by -4\nAnswer: 359\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231025810?\nAnswer: 2, 5, 1187, 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5 + 7182*y**4 - 364125*y**3 - 2872890*y**2 - 1744572*y + 4974408 = 0. What is y?\nAnswer: -6, -2, 1, 59, 2342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 31 + -17 + 16 + -25 + 17\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 569671?\nAnswer: 569671.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*w - 45 + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*w - 38 = 0, o + 0*o = 5*w + 19. Let x = o - -21\/4. Let l(d) = 1047*d + 19892. Let q be l(-19). What is the third biggest value in x, q, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 5) to base 11\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*d)*(0*d - 3*d + 4*d) - 15*d**2 - 10*d**2 + 24*d**2 + (-3*d - 3*d + 7*d)*(2*d + 0*d - 1 + 2).\nAnswer: -3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in 209, -2\/19, -3?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3873000 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9783.502 kilograms?\nAnswer: 9.783502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.2, -11, 0, -1\/4, -1 in increasing order.\nAnswer: -11, -3.2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13840923 is divided by 692046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhuuohuhuhuuuu. What is prob of picking 2 u?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 (base 7) in base 12?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*v**4 - 3*v + 298.\nAnswer: -20*v**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 8*x + 12. Determine i(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 2. Let l(d) = d**2 + 4*d - 7. Let f be l(-6). Suppose -f*t - 17 = 13. List the prime factors of n(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c - 3. Let g = -1 - -3. Suppose -g*z + 8 = 2*z. Let a be b(z). Solve 6 - 20 = -5*s + 3*m, a = 4*s - 3*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.7 + 27. Let x = i + -51.3. Let f = 51.024 + x. What is f rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11819737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 444678 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(500)*-1 - sqrt(500)).\nAnswer: -20*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 - -3) + 2493 + 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -108*x**3 - x**2 - 91*x + 110. Let q be n(-13). Round q to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 24 = -8*y, -12633*y + 3 = -12632*y - 4*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9529 divided by -4511\nAnswer: -733\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137887 is divided by 22909.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 107*a + 1\/60*a**5 - 9\/112*a**8 + 0 + 0*a**6 - a**2 - 3\/4*a**4 + 0*a**3 + 0*a**7. Find the third derivative of s(m) wrt m.\nAnswer: -1620*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1719 = 1722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1069203 to four decimal places.\nAnswer: 0.1069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 23209583\nAnswer: -1\/23209583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 400*c - 688*c + 378*c. Let z(r) = 15*r**2. Determine z(q(m)).\nAnswer: 121500*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*q + 5, -r + 4 + 1 = -5*q. Let j = r - 5. Let i be 2\/(-4)*(j + -12). Calculate the highest common divisor of i and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veye when four letters picked without replacement from vyujjeuyyeja.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124405321 - -4?\nAnswer: -124405313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -243 (b) 7.9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 594305519 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddppddddpddddddd. Give prob of picking 3 p and 1 d.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m - 42. Determine r(4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 15, 0 = -4*t + 5*n - 24 + 57. Let 2\/5*p**5 + 0 + 0*p**t - 4\/5*p**4 + 0*p + 2\/5*p**3 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238 - 83. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = 4. Let g = 747 + -3734\/5. Sort a, g, -1\/2, -9\/10 in decreasing order.\nAnswer: g, -1\/2, -9\/10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kktuttktcuuccc. What is prob of picking 1 k and 2 u?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 13 = -806. Calculate the greatest common divisor of t and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) + 0)*1 - (1 + sqrt(1331) + -2)) + sqrt(22)\/(sqrt(162) - (sqrt(162)*2 + sqrt(162) - sqrt(162))) + -1 + -1)**2*-4.\nAnswer: -368\/81 - 8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x**2 + 2*x - 1. Is 2 a factor of q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g*g\/((g**0*g)\/g*g))\/g)\/g)\/((g\/g**(-3))\/g))\/((g*g**(-6)*g)\/g**(1\/8)))\/((g**(-2\/3))**25)**(1\/11) assuming g is positive.\nAnswer: g**(697\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/15)*b*b*b**(-3\/4)*(b**(-1\/3))**(-16) assuming b is positive.\nAnswer: b**(133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 66810?\nAnswer: 133620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -12214.\nAnswer: -1\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (362*j + 48*j**2 - 362*j)*(j**3 + 0*j**3 - 3*j**3).\nAnswer: -96*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {d: 5, c: 5, n: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -101*y. Let t(z) = -1954*z**2. Calculate n(t(b)).\nAnswer: 197354*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 22368 (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4241*v + 29630. Calculate a(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 at most -4284\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccmcmc. What is prob of sequence cm?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 32 = -4*t + 8 + 12, 4*v + 5*t = -15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 66 = 4*n, 4*n - 12*l + 14*l - 26 = 0. Calculate the greatest common factor of n and 10107.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18 - 27*w**2 - 26 + 44 + 32*w**6 wrt w.\nAnswer: 3840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379\/47 less than 1946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 725317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(-39)*(k\/(k**(-3)*k))**(-1\/68) assuming k is positive.\nAnswer: k**(1323\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2714 and 192.\nAnswer: 260544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3066 and 1168?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85\/424 + 4\/53. Let i = -9 - -13. Which is the fourth smallest value? (a) -0.4 (b) -6 (c) i (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1561462 = -0*d + 2*d, -4*b + 4*d + 1561468 = 0. Let z = b - 11364. What is z rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - n**2 - n + 1. Let d(c) = -11*c**3 - 5*c**2 - 6*c + 5. Give -d(p) + 5*s(p).\nAnswer: 6*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 5 - 5)*(-v**4 - v**2 + v**2).\nAnswer: 5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - (-4)\/((-8)\/6). Let k = -3 + u. Suppose 4*d = 2*d + 4. Calculate the remainder when k is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -12452\/9205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 59 (b) 7 (c) 0.04 (d) 2\/125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10267 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 5*c**4\/24 - 2*c**3\/3 + 3*c**2. Differentiate q(d) wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + v + 0 + (-60 - 23 + 50)*(3*v - 6*v + 4*v) to j*v + u and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 111119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5\/40 - 13*p**4\/24 + 4*p**3 - 9*p**2 - 20*p - 16. Let x(o) be the first derivative of j(o). Factor x(w).\nAnswer: (w - 6)**2*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**3*t**3 + 38*n**3*t - 76*n**2*t**4 + 29*t wrt t?\nAnswer: -18*n**3*t - 912*n**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 66040 = 12*i, 2873 = -3*i + 5*j + 19377. What are the prime factors of i?\nAnswer: 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8675 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 627451, 1254898, 1882345, 2509792, 3137239, 3764686?\nAnswer: 4392133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4 - 10. Let s(t) = t**2 - 8*t + 7. Determine s(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.96 minus -2513539?\nAnswer: 2513543.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2311 + 47.2311. Are -5 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/27 and 35\/6963?\nAnswer: 62667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 3*r = -4*h - 6, -5*h = -2*r - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*o**5 - 23*o**5 + 74*o**5 - 3*o**4 - 8*o**5 + 3*o**4 + (0*o + 0*o + o)*(-2*o**4 + o**2 - o**2) + o**5 + 4*o**3 - 4*o**3.\nAnswer: 17*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18056 and 246378634.\nAnswer: 4514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 407*c - 21. Does 19 divide x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2321633, 4643280, 6964939, 9286610, 11608293?\n\"Answer: 6*s**2 + 2321629*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37219422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 1, o: 2, h: 1, g: 1, y: 1}. Give prob of sequence ehek.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 6*l**2 - 6*l. Suppose 103*c - 29*c = -518. Calculate r(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31169, 32861, 34553, 36245, 37937?\nAnswer: 39629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/14)\/((2\/7)\/2). Suppose 0 = -2*y + 4*p + 116, p + 7 = o. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + -96)\/(-2 - (-5)\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*d + 4, -k + 2 = 5*d - 2. Let u be 2*2\/12*3. Calculate the highest common factor of k and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1308 (b) -3 (c) 13 (d) 27 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20224295 and 1365?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/3)\/(-8)*1\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n**3 + 5 - 8 + 70*n + 14*n**3 + 3 as c*n**3 + x*n + s*n**2 + k and give x.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + i**2 + 0*i + 3*i.\nAnswer: i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30870040 rounded to the nearest ten thousand?\nAnswer: -30870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1\/((-3)\/24). Let v(u) = u**2 + 8*u - 5. Let c be v(r). Suppose 5*n = -p, -6 = 2*n - 4*p + 16. Sort 1, c, n in decreasing order.\nAnswer: c, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 105492, 211016, 316558, 422112, 527672, 633232?\n\"Answer: -g**3 + 15*g**2 + 105486*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrm when four letters picked without replacement from {r: 4, m: 6, f: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 149058624 divided by -1433256?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -30885 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -107*z**2 - 7*z + 1. Let p(r) = 322*r**2 + 20*r - 3. Let y(u) = 17*m(u) + 6*p(u). Let o = 3 + -2. Is y(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -15, -93, -243, -489, -855, -1365, -2043?\nAnswer: -2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -388874.7 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 13. Let h(w) = w**2 + 5*w - 2. Let m be h(t). Let n(z) = 2*z**2 - 2. What are the prime factors of n(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -911 + 939. Calculate the highest common divisor of 484 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1275\/819 + (-10)\/15. Let z = k + -6\/13. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/3)\/(4 - 3). Do 5\/16 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0*m = -5*k - 90, -3*m + 1128 - 1092 = -2*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2779, -2625, -2371, -2017, -1563?\n\"Answer: 50*d**2 + 4*d - 2833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 14*d**3 - 11*d. Let x(i) = -i**2 - 5*i + 2. Let m be x(-6). Let a(k) = -5*k**3 + 4*k. Give m*b(j) - 11*a(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 53*c**3 + 35*c**2 - 28*c**3 - 22*c**3 as i + l*c + y*c**2 + x*c**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 5*t - 8. Let w be h(6). Let c be (w + 1)*(-2 + 5). Let y(o) = -3*o + 3. Let s(j) = -4*j + 4. Determine c*y(k) + 2*s(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -236 + 241. Suppose k*i - 3*g - 3314 = 0, -10*g + 1994 = 3*i - 9*g. List the prime factors of i.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4478*v + 22381. Give m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.4 (b) 2 (c) -5\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssj when three letters picked without replacement from jsnms.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, -378, 0.3, 1.\nAnswer: -378, -5, -0.5, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 412 - 702. Let b = -154 - d. Is 34 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 19 (b) 0.2 (c) 2\/13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-23 - -27) + 2 + 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*q + 2*q. Suppose 4*p - q*p = -340. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64 + 28 - 41 + (0 + 0 - 2)*(-1 - 2 + 0))*(-3 + 1 + 3)*(-6 + 0 + 3)*(2*u + 0*u - 4*u) to the form b + g*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17 + -16)\/((9\/(-2))\/3). What is the biggest value in -2, 0.5, -6, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 8*f - 34. Let z = 21 - f. Solve 2*w = -z*g - 6, 3*w = -4*g + g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -1 - 11. Let w be (2 + j\/3)\/(-2). Let m(c) = c**2 + 3*c + 2. Let q be m(w). Solve q*o + 4*t + 12 = 5*o, o + 3*t = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + -2040431?\nAnswer: -2040404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((0 + 2*sqrt(242))**2 - (sqrt(242) + (-2*sqrt(242))**2 + 1 + sqrt(242))))*6 + 4.\nAnswer: -132*sqrt(2) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -65, 6, -6\/5, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n - 5*m + 25 = 0, -n + 3*m - 15 = 0. Solve -5*t + n = 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/46 and 108\/81*(-156)\/(-2576)?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1657*r**6 - 44529*r**2.\nAnswer: 198840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 71 - 17 = 0. Solve 0 = -3*y - 0*c - c + 11, -v*y = 3*c + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 32 = 4*h, 2*h = 2*v + 86 - 102. Solve v = 243*i - 258*i - 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10255957849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 36 = 10. Suppose -5*i + 13 = 3*a, 3 + 5 = 2*i + 4*a. Solve -3*p = -b*d - 0*d + 18, 4*d = i*p + 20 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2152 - 3552?\nAnswer: -5724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgtthtpgghhpg. What is prob of picking 2 p?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 + -201?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 282565902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.6 - 26. Let u = f + -5. Let t = u - -3.4. What is the biggest value in -2\/9, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1371 - 1266. Calculate the remainder when 340 is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1893.1 - -1895.1. Is m at least as big as 0.00856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (91 + -5)*654\/(-436)\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 174?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -26. Suppose -3*w + 57 = -g + 3*g, 4*g + w - 99 = 0. Let n be 3*(1 - v\/g). Put 5, n, -4 in ascending order.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (4 - 10 - -9 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102030 (base 4) to base 5.\nAnswer: -132020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h + 43. Let y be q(6). Solve 10*w - 9*w = y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z + 3. What is j(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-75))\/(((-216)\/(-486))\/(8\/(-12)))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*g**2 + 1538*g - 3077*g + 1539*g.\nAnswer: -79*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 5*o - 2. Let a be (-1)\/2*(8\/(-5) + 262\/(-655)). Give i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cppppwcpppppjpwhpv.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, p: 2, s: 1, w: 2, a: 1, k: 1}. Give prob of sequence iksw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10363 - -31091\/3. Is r greater than or equal to 5.639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786876?\nAnswer: 2, 3, 23, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22828.86 rounded to the nearest 100?\nAnswer: -22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 909*w**3\/5 + 293604*w**2\/5 - 59097*w + 972\/5 = 0?\nAnswer: -324, 1\/303, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 (base 4) in base 15?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*y + 50*y + 11 - 28*y)*(5*y - 2*y - 2*y) as d*y**2 + n + l*y and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 1666, 2 in ascending order.\nAnswer: 2, 30, 1666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d + 10. Let b be k(0). Suppose -3*r - 2*r = -b. Solve -3*h = -4*h - 2*y + 12, r*h = 3*y - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14560219*b*m**4 - b*m**2 + 1389635*b*m + 3*m + 14 wrt m?\nAnswer: -174722628*b*m**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0334 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*d = 4, 3*w - d - d = -2. Let l be (440\/230 - 2) + 730\/(-598). Is l at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 149 = -0*k - t, 0 = -5*k - 3*t + 729. Suppose n - k + 22 = 0. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 2, h: 3, j: 1, f: 4}. What is prob of sequence hggj?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 3*i**3 - i**2 - i**2)*(i + 2*i - 4*i + 2).\nAnswer: i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -913.6 times -0.5?\nAnswer: 456.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 453932 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-10))\/((-1)\/5). Suppose k*r = -r - 18990. Let f be 6\/(-10) - r\/30. Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1232078.17 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 47. Let j be (0 - t\/1) + 2. Solve -2*o - 6 = 0, j = -a - 2*o - 3*o - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 5. Let i be (8 - 7) + (-4)\/c. Suppose 344 = i*h - 5*u - 951, -2*h + u = -522. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - -20\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7872*k - 3792*k - 4100*k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1789, -483 in descending order.\nAnswer: 1789, -1, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 0, -5, 8.6, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3223040 divided by 644608.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1588 + 0)*(2 + 5\/(-2)). Suppose 5*k - 3*k = a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -73*g**5\/5 - g**4\/4 - g**2\/2 + 1007*g - 178. Find the second derivative of d(t) wrt t.\nAnswer: -876*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217 * 0.4\nAnswer: -86.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432507 (base 8) to base 6.\nAnswer: -3033543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = 9*a + 198 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1473.05 and -4.\nAnswer: 1469.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10164 and 5412?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*c**2 - 23*c**2 - 15*c**2 - 18*c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yssmkmmm. Give prob of sequence my.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from llelllaalaealalleale.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/15 - 12\/20. Solve 32 = -0*x - 3*x - 4*u, -c*x + 5*u = -13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 344 and 30?\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (220\/(-14) + (-6)\/21). Let y = 17 - f. Let k(t) = 2*t**2 - t + 1. Let g(o) = 3*o**2 - 2*o + 2. Give y*g(a) + 5*k(a).\nAnswer: a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -173, 0.2, 67?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 600 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3 = -3*x, 1889 - 1883 = -3*q + 5*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 14*k - 6. Factor -2\/3 - 1\/3*x**k - x.\nAnswer: -(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/17 - 1011\/68. What is the common denominator of 7\/96 and w?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 1151578512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*w + 83, 0*w - 5*w = -5*g - 115. Let p = 76 + g. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u**5 - 1780*u**4 + 6664*u**3 - 3696*u**2 - 7264*u + 4864 = 0 for u.\nAnswer: -152, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a factor of 1123560930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) - (sqrt(3) + sqrt(324)\/sqrt(12)))) + 2 + sqrt(12)\/sqrt(4).\nAnswer: 2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5\/f**11)\/(f**(-2\/11)\/f**(-5)))**(-1\/13))**1 assuming f is positive.\nAnswer: f**(119\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (163998\/45)\/((-4)\/10). Is u less than or equal to -9111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23651666 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88601*c**2 - 53*c + 88601*c**2 + 5*c**3)*(0*c**2 + 0*c**2 + 2*c**2).\nAnswer: 10*c**5 - 106*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + 2*d - 1. Let q be f(1). Let n = 2 - q. Calculate the remainder when 7 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 10*h**3\/3 + 17*h**2\/2 - 5*h. Let v(b) = -7*b - 6. Suppose 2*f - f = 6. Determine f*p(d) + 17*v(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from nkqoq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beb when three letters picked without replacement from {b: 3, e: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + o = -0*o - 9, 4*n + 3*o = 1. Let g = -1118\/95 - -216\/19. What is the fourth biggest value in -0.03, n, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2536, 3280, 4024, 4768?\n\"Answer: 744*j + 1792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1127964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 17.3, 2, -3\/13, -0.5, 3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101 (base 2) in base 14?\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8950645?\nAnswer: 5, 11, 162739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 4*g**2 + g + 3. Let w be r(-3). What is the second derivative of 13*v - w*v**2 + 2*v**2 - 11*v wrt v?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 707, 707, 705, 701, 695, 687?\n\"Answer: -r**2 + 3*r + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 25*u**2 + 60*u - 160. Let x be p(27). Let q(s) = 2*s**3 - 3*s**2 + 6*s - 4. Determine q(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 2*m + 1\/20*m**6 - 1\/6*m**3 - 1\/6*m**4 + 1\/4*m**2 + 1\/20*m**5 + 0. Solve a(q) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-3 - (-3 - -2)). Suppose -v + 54 = h*x, v + 3*v - 5*x = 255. What is the highest common factor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or -2\/713?\nAnswer: -2\/713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tij when three letters picked without replacement from aqjaqqqihqaijjaqhiat.\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 11. What is the highest common divisor of 100 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p + 18290*p**3 + 68*p - 18285*p**3.\nAnswer: 5*p**3 + 34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 1, p: 2, t: 1, c: 2, h: 2}. What is prob of picking 1 z, 1 x, and 2 p?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37\/2, 0.1, 4\/21, 6, -11, 5.\nAnswer: -37\/2, -11, 0.1, 4\/21, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 292538 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/((sqrt(180)\/sqrt(10))\/sqrt(3)) - (-4*sqrt(500)*-4)**2.\nAnswer: -128000 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -15, -20 = -c + 2*c - 5*f. Sort 0, 9, 3, c.\nAnswer: 0, 3, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6552 - 6552.3. Let o be (-2)\/(1*(0 + 1)). Which is the closest to x? (a) -1\/2 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -210709200 to the nearest 1000000.\nAnswer: -211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13064 and 2186232.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18623 and 3047.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0247336 to 4 dps.\nAnswer: 0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (7 + -15) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q*u*v**2 + 23*q*u*v + 123*q*v**3 - 4889*q + 45*u*v**3 wrt v.\nAnswer: -6*q*u + 738*q*v + 270*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 656600 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (10 - (2 + 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -16 + (-198 - -195)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21358, 42717, 64066, 85405, 106734, 128053?\nAnswer: 149362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + (-10 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/3 + 10*d**3\/3 - 72*d**2 - 446*d. Factor u(b).\nAnswer: 4*(b - 4)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 16. Suppose -h - p*h + 6 = 0. Let t(o) = 372*o + 3. Let x be t(0). Sort x, -2, 4, h in descending order.\nAnswer: 4, x, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*r = -125, i + 45 - 16 = -r. Let c = i + 36. Suppose -17 - 3 = -5*b. Calculate the lowest common multiple of c and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42587, -42592, -42597, -42602?\nAnswer: -42607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -33.5.\nAnswer: -34.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5880 divided by 5\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031202 (base 10) in base 5?\nAnswer: 230444302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-10.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4864\/57 - (-11)\/(132\/(-28))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 34, -2, -64, -152, -266?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 147\/462*176\/77. Let -10\/11*c**2 + 2\/11*c**3 + x*c + 0 = 0. Calculate c.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010001010110 (base 2) in base 15?\nAnswer: 52b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*c - 6 = q, -3*q - 3*c - 6 = 0. Solve 5*b - h - 23 = q, -3*b - 28 = -7*b - 4*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + (-6)\/(-4). Suppose 3*n - 12 = 0, n - y*n + 2 = -h. Suppose -2*d + 2*c = -0*d - h, -2*d = c + 1. Solve d = -5*z - 4 - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26006517.\nAnswer: 3, 53, 54521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 202 + -78. Let x = y - 67. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Let m(f) = f + 8. Let n be m(-5). Let i = n + p. What is the greatest common factor of 77 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/42*(-1)\/(-6)*(-1215)\/324.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3691*j - r = -3693*j + 30, 2*j + 3*j = 5*r + 85 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -220 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*g - 28, 5*d = -2*g - 14 - 23. Let l(f) = f**3 + 9*f**2 + 15*f + 3. Let v(m) = -m + 8. What is the remainder when l(g) is divided by v(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -387*x + 391*x - 8. Let p(i) = 4*i**3 - 6*i**2. Let y(q) = -9*q**3 + 13*q**2 - 1. Determine x*y(c) + 5*p(c).\nAnswer: 2*c**3 - 4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 1. Let x be z(4). Let u = x + 8. Suppose u*y - 79 = -22. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30792477, -30792476, -30792475?\nAnswer: -30792474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10704, 21395, 32080, 42759, 53432?\nAnswer: 64099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -266, -610, -1094?\nAnswer: -1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6286598 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 47022.\nAnswer: 1\/23511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-868)\/245 + 5\/35 and -23\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 27 = h, -2*s + 105 = 3*h + 3*s. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636.7997 years to millennia.\nAnswer: 0.6367997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196411?\nAnswer: 19, 62969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + ((-2)\/(-3) - (-38)\/(-57)). Solve -a = 5*l - 8*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24106 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**2 - 2*i + 2. Let h(j) = -25*j**2 - 9*j + 9. Let n = -43 - -34. What is n*y(t) + 2*h(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*z, 17*w - 107*z = -109*z - 84 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 2*i + 4*i - 10*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8757*a**2 - 3749*a**2 + 0*a**3 - 6*a**3 - 5008*a**2.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 485, 486, 487, 488?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h**2 - 3*h + 5. Let c(k) = 6*k**2 - 2*k + 3. Calculate 7*c(w) - 4*x(w).\nAnswer: -2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/10 (b) 1 (c) -1 (d) -694 (e) -2\/45 (f) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i*p*q**2 - 17*i*p*q + 113*i*p*z - 2*i*q**3*z - p*q**3*z + 3*p*q**3 wrt z?\nAnswer: 113*i*p - 2*i*q**3 - p*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266 + 263. Which is the nearest to 0.1? (a) 21\/2 (b) 3 (c) v (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 745 + -1215. Let v = 465 + q. Put -6, v, -4, 1 in ascending order.\nAnswer: -6, v, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 1 + -1 - 4) + 2 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.89 - -22031.19.\nAnswer: 22047.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183 + 197. Suppose -130 - 38 = -k*m. Let d(f) = 2*f**2 - f - 3. Calculate the least common multiple of m and d(-4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655933 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x + 23. Let v be i(-4). Suppose z = -v + 41. Calculate the highest common factor of z and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117\/4 - -146\/5. Let i(s) = -s**2 - s + 1. Let a be i(-2). Are a and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4771 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0.812948098.\nAnswer: -1.187051902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + sqrt(700))**2 + sqrt(700) + 2 + 3).\nAnswer: -1418 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*35\/(-70)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 409066 and 244?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 7*r**2 - 6*r + 40. Determine t(4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*a + 2*a. Suppose 4*l - 16 - 8 = 0. Suppose y - l*y = -4*r + 145, -101 = -3*r - 4*y. What is the remainder when r is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23, -18, -9, 4?\n\"Answer: 2*k**2 - k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6151068*s + 3487. Let c(x) = -10587*x + 6. Calculate -3487*c(k) + 6*v(k).\nAnswer: 10461*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (14 - (1 - -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11*t**2 + 134*t + 6. What is the smallest common multiple of 9 and s(12)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -8. Let u = -103\/45 + 17\/9. What is the smallest value in u, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)**(-41\/2))**(-12\/5)\/((g**2\/g)**(-44))**40 assuming g is positive.\nAnswer: g**(8554\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 16*f + 23*d - 22*d, f - 1 = 4*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**5 - 18*z + 12*z**3 + 8*z**2 + 3*z**3 - z**2 + 8*z**2 - 15*z**4 = 0.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3268*j**2 - 2239*j**3 - 7441*j**3 - 3268*j**2.\nAnswer: -9680*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6907*j**3 + 70*j**2 - 681634.\nAnswer: 20721*j**2 + 140*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5019 + 5020. Which is smaller: 2\/4357 or v?\nAnswer: 2\/4357","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*g + 51. Let u(a) = a + 15 + 0 + 7. Calculate the remainder when u(0) is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-12)\/p**(-1\/4)*(p**(2\/3))**(1\/45) assuming p is positive.\nAnswer: p**(-6337\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 147*s. Let h(b) be the third derivative of -b**4\/8 + 87*b**2. Calculate x(h(u)).\nAnswer: -441*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaava. What is prob of sequence aaa?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 4*x - 3. Let o be m(2). Let g(q) = 20*q. Let z be g(o). Calculate the highest common divisor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*i - 10, x - 5 + 14 = 3*i. Suppose 9*u + 111*u - 1744 = 11*u. Suppose -x*d + 10 = -u*d. Is d greater than or equal to -1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3003?\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2 - -3) + 2)*1. Suppose 0 = -4*v - l + 11. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -15 - 38*t**2 + 144*t**2 - 48*t**2 - 56*t**2 - 24*t. What is c(12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 639. Let f = y + 652. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 13 in descending order.\nAnswer: 13, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t. Let l(n) = 55*n**2 + 3. What is l(c(y))?\nAnswer: 1375*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.14 and -7.9.\nAnswer: -8.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(9\/36 - (-9)\/(-4)). Factor 6\/7*y - 2\/7*y**l - 4\/7.\nAnswer: -2*(y - 2)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77512031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 19*p + 39. Let h be i(-2). Which is the closest to 1? (a) h (b) -0.14 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 38. Solve -2*d + 7*d - y = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 2*z + 3. Let t be d(3). Let x = -6 - t. Suppose 0 = s + 5, -x*s - 14 = -3*g - 2*s. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18683569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x - 9*x + 20*x)*(-7*x**3 - 3*x**2 + 3*x**2).\nAnswer: -175*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 + (11 - (1 + 9)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000248095 rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1225\/3886 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071692?\nAnswer: 2, 113, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-228)\/(-288) - (-3 + (-75)\/(-24)). Find n, given that 2*n**3 + 0*n + 0 - p*n**4 - 4\/3*n**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -100. Suppose 8*z - 1595 = -j. Is z a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a80 (base 11) to base 10.\nAnswer: -1298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (7 - -4) - (1 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 728778683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 169676819 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3330\/420 - (-4)\/56?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*m**2 + 43*m - 153*m**2 - 46*m.\nAnswer: m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 15. Let h = -7 + m. Let g(z) = -2*z - 4. Let p(u) = -2 + 0*u + 2*u - 1 - 4*u. Calculate h*g(b) + 5*p(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -146*(2 + (-20)\/8). Suppose 109 = -9*g + v. Sort 1, g, 0, -1 in decreasing order.\nAnswer: 1, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h - 6 + 6 + 0*h - 19*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -44*y**2 - 2*y - 1. Let m(i) = 43*i**2 + 2*i + 1. Let k(p) = 2*a(p) + 3*m(p). Suppose 10 = 5*d, 2*x + 11 = -3*x + 3*d. Is 15 a factor of k(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 15 = 0, 0 = 4*s - w + 5*w - 76. Let d(a) = -4*a - 3*a**3 + 15 + 4*a**3 - s + 4 + 4*a**2. Give d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4250*t. Let q(m) = 3*m**2 + 165*m. Let f(k) = -5*k**2 - 264*k. Let y(i) = -5*f(i) - 8*q(i). Calculate g(y(s)).\nAnswer: -4250*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3 + 12*h**2 - 12*h = 0. What is h?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + o - 2*o. Let m(t) = -t**2 - 1. Suppose -3*p - 21 = -9. Let q(i) = -5*i**2 - 4. Let w(f) = p*m(f) + q(f). What is w(r(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hchhchkckcchcch. Give prob of sequence ck.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97\/558 + 2\/279. Let w = 0.8 + 0.2. Let d(g) = 4*g**3 + g - 2. Let l be d(1). What is the nearest to w in -0.5, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*u**2 + u - 6*u + 4*u + 6*u wrt u?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 9 - (-7 - 95 - (-14 + 9 + -6))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1059998 or 1060048?\nAnswer: 1060048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:04 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 796.\nAnswer: 11940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + c - 3*c - 2*c + 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109865 by 28.\nAnswer: 15695\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 2, p: 3, z: 1, o: 1, r: 3}. What is prob of picking 1 r and 1 p?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27127 times 1\nAnswer: 27127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35558, 69600, 103642, 137684, 171726?\n\"Answer: 34042*q + 1516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - 72\/(-27)*9. Suppose 4*w = 3*v + 6*w - 19, 0 = -4*w - n. Solve -10*b = -v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 339*r. Let n(a) = a - 65. Calculate n(v(s)).\nAnswer: 339*s - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v. Let l(c) be the third derivative of -1\/24*c**4 + 0*c + 0 - c**2 + 0*c**3. What is t(l(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g - 1. Let v be a(0). Let n(t) = 4*t + 2. Let o(w) = 4*w + 3. Let z(b) = -3*n(b) + 2*o(b). What is the units digit of z(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-15)\/4)*3. Let i = q - -4. Suppose 3*a - 17 = -y, i*a - 30 = -5*y - 4*a. Calculate the least common multiple of y and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24 and -0.1.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*b - 120 = -19, -4*b = -3*n + 149. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 119\/(-35))*(-35)\/(-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 132765 divided by -835\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1792459*k - 1820 = -1792529*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 3264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21188 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, t: 6, o: 1}. What is prob of picking 2 t and 1 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5\/7 + 396*z**4\/7 - 2154*z**3\/7 - 28408*z**2\/7 - 74952*z\/7 - 59904\/7 = 0?\nAnswer: -3, -2, 13, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -218*x**2 + x. Let g(u) = 34*u + 3. What is g(o(a))?\nAnswer: -7412*a**2 + 34*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -401\/520 + -3\/104. Sort z, 3, 0.1 in descending order.\nAnswer: 3, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - i - 1 + 0*i - i**2. Calculate d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25746191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 322 divided by 6\nAnswer: 161\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 610f7 + 3d0?\nAnswer: 614c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1416269, 2832462, 4248567, 5664584, 7080513, 8496354, 9912107?\nAnswer: 11327772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 586 + 586.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/((-9)\/(-108)). Let d = 22 - h. Calculate the lowest common multiple of 18 and d.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvugggjuglljjlhlvugj. What is prob of picking 2 v?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = -15*f + 1903. Suppose f*y - 112*y = -648. Calculate the highest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 630.00509 + -630. What is h rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 19.8. What is the third biggest value in -9, -2\/7, b?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 8*d + 0*d)*(3*d - d + 7*d) - 1 + 1 + 2*d**2 + (1 - 1 - 1)*(0*d**2 + d**2 + 0*d**2) - 1 + 2*d**2 + 1 + 3*d**2 + d**2 - 2*d**2.\nAnswer: 77*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.39 - 2.99. Let x = 3.6 + t. Are x and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4*q**(-3\/8)*q)\/((q*q\/(q*q\/((q\/(q**(-3)\/q))\/q))*q)\/q**4))**(-2\/61) assuming q is positive.\nAnswer: q**(-29\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3 = 0, -165*k = -4*y - 162*k - 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6968548.\nAnswer: 2, 719, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0.05, -1237, 6?\nAnswer: -1237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 6*m - 7. Let z = -386 + 374. Let w(g) = 6*g**3 - 5*g**3 - 2*g**3 + 13*g + 6 - 11*g**2. Let a be w(z). What is f(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.028 - 20.972. Let d = a - -21.01. Suppose -2437 + 2427 = 10*h. What is the closest to -2 in h, 3, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 178*a**2 + 6*a - 33. Let u(j) = -179*j**2 - 4*j + 34. Let n(h) = -2*d(h) - 3*u(h). What is the derivative of n(t) wrt t?\nAnswer: 362*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167.96 - 163. Let c = -5 + x. What is c rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -253 - 2*h**4 - 248 + h**2 - 137*h - 57*h + 502 to the form t*h**2 + s + c*h + v*h**3 + o*h**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10920b + 0?\nAnswer: -10920b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 189240602 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -36, -61, -92, -129, -172, -221?\n\"Answer: -3*g**2 - 10*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -686830 + 1373663\/2. Factor -15\/2*v + l + 6*v**2.\nAnswer: 3*(v - 1)*(4*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5159.939 years in millennia?\nAnswer: 5.159939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9891 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27923508*f**3 - 2*f**2 - 6688 wrt f.\nAnswer: 167541048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 940 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2. Let u(x) = 5*x + 5. Let i be u(-1). Let p(y) be the first derivative of 3 + i*y**2 + 2\/3*y**3 + 0*y. Determine j(p(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 3 = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a**2. Let c = -314 + 309. Let b(z) = -3*z**3 + 5*z**2 + 1. What is c*q(i) - b(i)?\nAnswer: -2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -41, -30, 12, -5, 5, 3.\nAnswer: -41, -30, -5, -2, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 - 3. Let y = 841\/10 - 84. What is the closest to n in 0.2, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = -3*s, 0 = 3*s - 14*n + 10*n - 14. Suppose -3*h + 7*h - s*q = 46, -4*q = 4*h - 28. Solve 0*a + h = -2*j - 3*a, -3*j - 15 = -5*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1366711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -11. Let j(n) = 3*n**3 + 5*n**2 + 2*n. Let f(a) = 5*a**3 + 8*a**2 + 3*a. Let d(b) = m*j(b) + 5*f(b). Find r such that d(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5 + 136*j**4 + 1384*j**3 + 4720*j**2 + 1204*j - 7448 = 0. Calculate j.\nAnswer: -19, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b - b)*(4 - 2 - 1) + 7697*b - 15010*b + 8053*b.\nAnswer: 738*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, n: 6}. What is prob of sequence yyn?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + u**2 + 3*u**2 - 2*u**2 - u**4 + 4*u - 4*u + (4*u + 2*u**2 - 4*u)*(2 + 2*u**2 - 2) + 73*u**4 - 101*u**4 + 419*u**4.\nAnswer: 395*u**4 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5 + 13. Let c be (p - -8)*(10\/(-4) - -3). Solve y = f + 1 + c, 3*y = -5*f + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1786*k**3 - 171*k**2 + 171. Let c(m) = 139*m**2 + 695*m + 4. Let r be c(-5). Let j(l) = 21*l**3 + 2*l**2 - 2. Determine r*i(a) + 342*j(a).\nAnswer: 38*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 14. Let x be f(-6). Calculate the remainder when 243 is divided by (x - 0) + (60 - 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 2*k**2 + 2*k - 2. Let p = -17 + 19. Let q(l) = -3*l**2 + 3*l - 3. Give p*q(b) - 3*a(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/40*(-102)\/(23562\/43505).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:30 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 1. Let u be a(-3). What is the second derivative of 0*x**2 + 4*x - 2*x**u + x**2 wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8207*p**2 + 3199*p**2 - 3247*p**2 - 2396*p**2 in the form h*p + r + b*p**2 and give b.\nAnswer: -10651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - 2 - (-20 + 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 54*o**2 - 107*o + 1436. What is the tens digit of t(58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**5 - 145*y**4 - 1170*y**3 + 110*y**2 + 21175*y - 19965 = 0.\nAnswer: -11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -596, -1545, -3274, -6035, -10080?\nAnswer: -15661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -l - 5, 2*l - 12*n = -14*n + 8. Suppose -4*b - w = -l*b + 1328, -3*b - w = -1336. List the prime factors of b.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in 87, 33\/5, -2\/15, -0.3, 2\/5?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-193820)\/330 + 4\/3. Round x to the nearest 10.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 10. Suppose -b*p + 5*p = -94. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 4, k: 1, c: 1, w: 3, h: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/105)\/(2\/(-8))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -5, -1, 305, 0.3?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-150))\/((-11)\/(-55)). Put 1, 4, t, -0.3 in ascending order.\nAnswer: -0.3, t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25349\/28160 + -1\/5632. Which is the closest to v? (a) 0 (b) -0.4 (c) -4\/7 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272.7889km to nanometers.\nAnswer: 272788900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22691 is divided by 1110.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 4*c - c + 2*c - 2*c + (-5 + 2 + 2)*(-3*c + 4*c + 0*c) - 4*c - 3*c + 5*c - c - 6*c + 3*c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 - 78*n + 87. Let w be u(25). Solve 0 = -w*l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*i**3 + 4437029*h*i**2 + 4*h*i + h + 18413*i**3 + 194*i**2 wrt h?\nAnswer: -i**3 + 4437029*i**2 + 4*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/42 - (573\/(-21))\/1. Let w = h - 25. Solve -w*b + 2 = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(110\/(-4))*-1. Let w = 17 + 38. Let u = -53 + w. Which is the smallest value? (a) r (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1231578, -2463175, -3694774, -4926375?\n\"Answer: -o**2 - 1231594*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = l - 16. Suppose n - l = -3*d, -5*d + 8*n + 125 = 3*n. Let k = d - 12. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - o + o)*(-2*o + 2*o + 3*o) + (-2 - o**2 + 2)*(4 + 0 + 0).\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26281346917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 12*t + 0*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhffhhhphapahhhahhf. Give prob of sequence payf.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.05, 0.2, -6\/17, 0.3, 2, -6?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/27*-2 - -4*1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**4 + 50*y**3 - 140*y**2 + 120*y = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 0)*(2*g - 6*g + 3*g)*(3 - 12 - 1).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 27*n**2 - 3*n - n + 4*n.\nAnswer: -27*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.3 - -15. Let q = 0.32 - 0.02. Sort i, q, 3, -3\/4 in descending order.\nAnswer: 3, q, i, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -359 - -575. What is the second derivative of -3*n**5 - f*n - 5*n**5 + 199*n wrt n?\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 816 (b) 51 (c) 0.5 (d) -5 (e) -2\/341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -229, -231, -235, -241?\n\"Answer: -z**2 + z - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 0.8 (c) -51\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29552 + 29548. Which is the second smallest value? (a) -1\/8 (b) 4 (c) u (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -42. Suppose 0 = -5*a + 2*i + 16, -i + 19 = s*a - 6*i. Solve -a*v - 4 = 4, -4 = 2*f + 2*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + z**2 + 6*z - 6*z + 18.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732918?\nAnswer: 2, 3, 23, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13693, 27920, 42675, 57958, 73769, 90108, 106975?\n\"Answer: 264*g**2 + 13435*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j - 2*j)*(2*j + 0 + 0 - j + 3 - 3 + (-5*j + 0*j + 3*j)*(2 - 2 - 2) + 3*j - 3*j + 2*j - 14 + 14 - 9*j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 940336693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*k + 66. Let h be k - (4\/(-22) + 35\/11). Let x(b) = -b**2 + 9*b - 1. Calculate x(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (-2*sqrt(1377)*5 - sqrt(1377))**2 + (-1*-2*sqrt(85) + sqrt(85) - sqrt(85))\/(sqrt(50)\/(sqrt(10) + (sqrt(30)\/sqrt(3) - sqrt(10))))).\nAnswer: -499842 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1030 (base 7) to base 2.\nAnswer: -101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 + l - 1. Let p(x) = -4*x**2 - 2*x. Determine 4*o(r) + 3*p(r).\nAnswer: 8*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/(-26)*5*10\/25\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(6)\/sqrt(3))**2*6 - sqrt(2)) + sqrt(8)*-3)*-5.\nAnswer: -70 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 15*v**2 - 29*v - 34. Determine r(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 217564723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 196774508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p + 41. Let i be x(-9). Let s(q) = q**3 - 5*q**2 + q + 2. What is s(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 105 = 10*g. Suppose 2*j = g*j - 1014. Calculate the remainder when j is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 1:11 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 39.09 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-34)\/(-4))\/(4\/8). Let p = x - 8. Suppose 0 = -2*s + 3*s - p. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (100\/(-35) + 5)\/1. Are z and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2 - 11. Let x(p) = -2*p**2 + 3. Let k(z) = -6*s(z) - 22*x(z). Let n(v) be the first derivative of 3*v**2\/2 - 4. Give n(k(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1986623 - 1986623 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2672*b + 1848 = 2903*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 e when four letters picked without replacement from bbfehfeefdfd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = y + 42, -v + 2 + 34 = -4*y. Solve v = -43*h - 203 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7.831 - 0.8\nAnswer: -8.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 (base 6) in base 4?\nAnswer: 10023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/19)\/i))**(-33) assuming i is positive.\nAnswer: i**(-1320\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15 - 0.05. Let l = a + 0.2000035. What is l rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8687470, -8687474, -8687480, -8687488, -8687498?\nAnswer: -8687510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2289*d + 126 = 2*o - 2285*d, -o + 12*d - 399 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -f + r, -3*f + 0*f + 4*r + 16 = 0. Suppose f*s = 4*s - 16. Suppose 9 = s*p - p. Solve 0 = i - p + 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447 (base 15) in base 5?\nAnswer: 221332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y. Let i(u) be the first derivative of 2*u**3\/3 - 7. Determine i(c(x)).\nAnswer: 128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 4, -2\/21, -0.1.\nAnswer: -0.1, -2\/21, 4, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31152869.\nAnswer: 11, 47, 60257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 3 - (0 + 3 + 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107\/7 > 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 11*i**2 - 2*i - 22. Let y be a(-11). Suppose 6*z + 223 - 1555 = y. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000659791 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 744 divide 499239624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(121) - 4*sqrt(121) - sqrt(121))\/sqrt(11) - (0 + sqrt(1100)))**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*l + 79*l - 452 = 0. What is the remainder when l is divided by (-12)\/18 - 232\/(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2.7, 183, -3, 17\/6, -4?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -w - 4*w. List the prime factors of (3 + -1)*(w - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.079 + 36.921. Let w = -49.8 + u. Let z = 3.1 - w. What is z rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2 - 3355080*z + 562828090320 = 0. What is z?\nAnswer: 335508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 8072.\nAnswer: 7\/8072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 <= 989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 41 = 3*t + 3, -2*t + 16 = 2*l. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0)*(13 + -4). Solve 0 = 10*h - t*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011110010100 (base 2) to base 7\nAnswer: 23412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**6\/120 - m**5\/12 + m**4\/8 - m**3\/6 - 3*m**2. Suppose 4*b - 26 + 10 = 0. What is l(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2259*h**2 + h**3 + 222*h - 3*h**3 + 1 + 2261*h**2 to the form a*h**2 + u*h**3 + d + b*h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1123*j = 561*j + 561*j + 5*z + 18, 17*z + 5 = 5 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 216*k**2 + 2043*k - 63. Calculate v(-9).\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u, 0 = -q + 5*q + 2*u - 6. Let a(k) = -1 - 5 - k**q - k - 8*k. Determine a(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -388457 by -463.\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2\/3 (c) -596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 28 = -5*x, -5*h + x + 6 = 2*x. Suppose 0 = -11*l + 166 - 1. Suppose 0 = -h*w - w + l. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2075, -23, 2, 3 in descending order.\nAnswer: 2075, 3, 2, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493 (base 13) to base 8.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -221*d + 10290. Give c(47).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/5 + 228116*r\/5 - 1596714\/5 = 0.\nAnswer: 7, 114051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-4)*z*z\/z**(2\/5))**(-2\/9)\/((z**(2\/7)\/z)**41)**(10\/7) assuming z is positive.\nAnswer: z**(92936\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.27 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = -3*g + 5282. Let b = g - -4613. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-8 - -4) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(720) - sqrt(5)) + sqrt(5))*-5 + (sqrt(35)\/sqrt(7) + -5)*-2)**2.\nAnswer: -3720*sqrt(5) + 20120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/7)\/z*z**(-7)*z*z**(-2)\/(z*z*z*z**(2\/11))*(z**(-2\/3))**(-41\/5)*z**4*z\/(z**(-3)*z) assuming z is positive.\nAnswer: z**(494\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -557, -837, -1113, -1385, -1653?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35371, 70748, 106139, 141550, 176987, 212456?\nAnswer: 247963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*z + z = -145, 0 = -5*z. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 607. Let v(a) = -3*a + 610. What is -4*l(n) + 5*v(n)?\nAnswer: n + 622","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-55)\/(-30)) + (40\/12 - 2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 >= -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*j = -3 - 7, 2*a + 5*j - 13 = 0. Suppose -a*v = 2*b - 10, -2*b + 1 = -9. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-15)\/(-85)*(-4)\/150). Let n = -419 - x. Solve -3*h + n*q - q = 0, -3*h + 21 = 2*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8524401101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5\/4, 2\/5, 1\/4, -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 + 678079*n - 601 - 678079*n + (6*n + 3*n**2 - 6*n)*(-3 + 0 + 0))*(-4*n + 0*n + 2*n) in the form h*n**2 + b + m*n + t*n**3 and give m.\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 159 or 30.5?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 4:12 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-6)*(-21)\/(-2). Suppose 4*m + 0*m - a = 0. What is the derivative of -7*j**2 - m + 11 - 11 wrt j?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1 + (42 + 59 - 124)*(1 - 3 - 7))*(-2*m + 2*m**2 + 2*m).\nAnswer: 416*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23827, 23830, 23833, 23836?\n\"Answer: 3*b + 23824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2190 and 3105.\nAnswer: 453330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42d6 (base 16) to base 11\nAnswer: 11945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/5, 4, -4, 0.17, 93?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (-2)\/(-4)*-10. Find o such that 2\/15*o + 2\/15 - 2\/15*o**z - 2\/15*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 2346552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-8 - -11) + (0 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8942015 and 835?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(91))\/(1*1*sqrt(7)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-16) - (-21)\/((-22176)\/42438).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 939973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2231389275?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 6 + 3. Let h(f) = 7*f**2 - f - 4. Let i be h(a). Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 6 - (2 + 156\/(-13)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 8*n - 8. Let y be r(-6). Suppose -6 = y*h - 114. Suppose 0 = 5*d - 98 - h. Solve -4*x = -9*x + d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from cxxccccclcnoxoclxno?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*n + 9, 2*s - 59 = -5*n - 53. Solve 5*t = -5*j + 20, -t = -3*t + s*j - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f\/(f\/(f\/(f**(-8)\/f))*f))))\/f**(-4\/13) assuming f is positive.\nAnswer: f**(134\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*f**5 + f**4 - 43*f**2 + 18*f + 6555 wrt f.\nAnswer: 740*f**3 + 12*f**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2328408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018*k - 16989 = -307*k + 6861 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/9 (b) 0.1 (c) 2\/15 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5754 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x\/(x\/(x*x**(-6)*x))*x)*x*x\/(x\/(x**(1\/7)*x*x))*x**(-2)*x**5*((x**(-2\/5)*x)\/x)\/(x*x*x*x**(-4\/5)*x*x*x)*((x*x**1)\/x)**33 assuming x is positive.\nAnswer: x**(1279\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/(3\/36). Let i be 26\/r - (-2)\/3. Let u(n) = n + 6. Suppose -g + 6 = -0*g. Let l(c) = -c - 5. What is g*l(w) + i*u(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 - (8 - (-4 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18222 divided by -6?\nAnswer: -3037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let g be h(-5). Suppose 26334 = g*m + m. Suppose -3*k + 6*k + 5*x = 2626, 5*k - m = 4*x. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*u - 127*u + 49*u in the form j*u + f and give j.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0384 * 0.2.\nAnswer: 0.00768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109806*i - 16720 + 16720.\nAnswer: -109806*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.3 + -31. Let b = -3.91 - 0.09. Let k = d + b. What is the closest to -1\/3 in k, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (440\/1760)\/(1\/(-8)*-1). Solve -i = 4*q - 5*k - 0, -q + 4*k + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*-2*5 - sqrt(297)*3)\/(-2*sqrt(396)*-3 + sqrt(396) + sqrt(396)).\nAnswer: -19*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let o = 0 - q. Let t be (-2)\/(-4)*(o - -1). Sort 4, 5, t.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13357709 is divided by 460610.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v - 5*m + 240 = 0, 0 = -2*m + 6. Suppose v + 60 = 5*p. List the prime factors of (4\/7)\/(6\/p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0233 * 6.\nAnswer: -0.1398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -62, -76, -106, -158?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -972 and 1.253?\nAnswer: -1217.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - i = -9, 4*t + 4*i - 24 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/2)*k))\/k**(-1))**(-13) assuming k is positive.\nAnswer: k**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -78640 minus -2927?\nAnswer: -75713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 39. Suppose m*x + 11 = -3*a - x, 5*x + 17 = -a. Solve 0 = -f + 3*v + 8, -v = -a*f + 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*i = -54, -4*i + 18 = 3*f - 6. Suppose 0 = 2*n + 2*n - f. What is the units digit of n\/(-2)*40\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9251 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 432\/(-212)*259\/8547. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4 + (4 - 2 - 4)*(1 + 2 - 1) - 4 - 3 - 11 + 1 + 0 + 0)*(2 - 7 + 2)*(19*j**5 - 31*j**5 + 30*j**5).\nAnswer: 1080*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19055193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.62 - -0.22. Are 1\/2 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 18, 35, 58, 87, 122, 163?\n\"Answer: 3*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 - 0.25. Let j = w - -0.08. Let o = j + 0.110003. What is o rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.478789 rounded to one decimal place?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -i. Let u(o) = i*o + o - 2*o. Let t(l) = -4*l + 6. Let b(f) = -9*f + 13. Let h(j) = -6*b(j) + 13*t(j). Determine u(h(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -268\/695 - 2\/139. Which is the smallest value? (a) 0.3 (b) 2\/13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 915.257 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1104 and 21850?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4245?\nAnswer: -1\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.1 - 10.1. Let d = -5.4 - -5. Sort d, x, -0.3 in ascending order.\nAnswer: x, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**3 + n**3 + 4*n**3 - 19 - n - n**2 - 2*n**3. Calculate o(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-3\/7)*g)\/g**(-7))\/(((g**(-3)\/g)\/g*g)\/g**2))\/((g**9\/g)\/(g\/g**4)*g**(-2\/5)*g\/(g\/g**(3\/4))) assuming g is positive.\nAnswer: g**(451\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 5 = 32*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + l + l - 6 = 0, -y - 5*l = -7. Which is the second biggest value? (a) -2 (b) 2\/11 (c) -2\/7 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -8*i**3\/7 + 29902*i**2\/7 + 67316*i\/7 + 14960\/7 = 0.\nAnswer: -2, -1\/4, 3740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-318)*(-3 + 12). Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2210121012 (base 3) to base 7\nAnswer: 316451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 4*f**2 + f**2)*(3 + 2 - 3)*(-98*f**2 + 253*f**2 - 104*f**2).\nAnswer: -102*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*n + 14, 80*f - 77*f + 10 = 2*n. Let r be (-1)\/4 + 9\/4. Sort 11, -3, f, r in descending order.\nAnswer: 11, r, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 6:23 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 18, 13, -6, -45, -110, -207?\n\"Answer: -j**3 + 2*j**2 + 4*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 567.0039 decades?\nAnswer: 68040.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttthhttttttt. Give prob of picking 2 t and 1 h.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 913*f**2 + 16972*f - 12569. Calculate b(-894).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5262 + 5635. What is the remainder when h is divided by 50?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 3 + 2*s)*(3*s - s - 4*s) - 3*s**2 - 2*s**2 + 3*s**2)*(40294*s**2 + 5*s - 40016*s**2 + 0*s) as p*s**2 + g*s**3 + r + i*s + o*s**4 and give o.\nAnswer: -1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8466, 16893, 25320, 33747, 42174, 50601?\nAnswer: 59028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 496021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -23. Let f be (-2664)\/k + (-10)\/(-35). Round f to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 94*t + 854. What is m(84)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-39)\/910*(-7)\/(-18)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1121 (base 4) to base 3\nAnswer: -10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 0*l - 27 = 0. Suppose 4*z = 0, l*f - 7*f + 3*z = -332. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 39*q**3 + 7*q - q + 15 + 3*q**2 + q - 40*q**3. Let t be d(5). Solve t = -5*w + 3*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8*n = -11*n + 99, -5*p + 120 = 5*n. What is the remainder when 264 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 73\/3 + 1\/3*v**3 - 73\/3*v**2 - 1\/3*v = 0. Calculate v.\nAnswer: -1, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -26 - 19. Let d = y + -5. Suppose d*v = -24 + 328. Round v to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 18*t**3 + t. Let q be x(-2). What is q rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let b be (h\/2)\/(-1 + 0). Let n = 114 - 568\/5. Which is bigger: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*j - 10, -2*l + l + 5*j + 14 = 0. Let a be (3\/2)\/((-27)\/l). Which is bigger: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*g - g**2 + 57*g + 2*g**3 as y*g**2 + r + q*g**3 + z*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38760174.\nAnswer: 2, 3, 503, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o = -30. Let k be (-3 + 8)*o\/10. Solve -8*z + 65*z**2 + 98*z**4 + 71*z**3 + 16*z**2 - 17*z**2 - 225*z**k = 0 for z.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433832.1ml in litres?\nAnswer: 433.8321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 2\/17, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341 divided by -1280.\nAnswer: -341\/1280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-5 + 1 + sqrt(720) - 2*(sqrt(720) + 1)) + (sqrt(720) + 1 - sqrt(720)) + -5 + sqrt(720) + 2)**2.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -k - 2. Let c = -4 - k. Suppose -3*w = 4*r - 12391, -5*r + 12100 + 3406 = -c*w. Round r to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 75*v + 7. Let s(k) = -138*k. What is s(a(c))?\nAnswer: -10350*c - 966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 60, -111, 1, 6, 3, 5 in descending order.\nAnswer: 60, 6, 5, 3, 1, -1, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from ciitiittiitcii?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 3*c**2 + 4*c + 3. Let f be t(-4). Let x be 0 + 0 + -3 + f. Suppose 3*h - 5*w - 75 = x, 2*h + w = -0*h + 37. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.591 rounded to one decimal place?\nAnswer: -116.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 13 + 30 = 2*o, h - 9 = -4*o. Let t = h + 15. Suppose -t*s = -33 - 27. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -6*a**5\/11 + 8*a**4\/11 + 2*a**3 - 32*a**2\/11 + 8*a\/11 = 0.\nAnswer: -2, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10972 - -23982. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 1132014063?\nAnswer: -1132014105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 15*g**5 + 1115*g**4 + 20445*g**3 - 26895*g**2 - 607540*g + 410700 = 0.\nAnswer: -37, -6, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k\/(k*k*k\/((k\/(k\/(k**(-13\/5)\/k)*k))\/k)))\/k)\/k)\/k)\/k*k**15)\/((k\/((k**1*k)\/k))\/(k\/(k**(-2\/131)*k))) assuming k is positive.\nAnswer: k**(2892\/655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001319641 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*h**2 - 34411*h - 1405075.\nAnswer: -42*h - 34411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/6))**4 assuming b is positive.\nAnswer: b**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-6*(1 + sqrt(2736)) + -5 - -5*-5*(-5 + sqrt(2736))))**2.\nAnswer: -1357056*sqrt(19) + 42276672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*x**2 + 8103 + 13*x - 4058 - 4055 as o*x + j*x**2 + z and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 14*g**2 + 12*g - 13. Let s be w(-13). Let q(i) = -3*i**3 - i**2. Let k be q(-1). Suppose -k*r = -0*r - 8. Solve s*m = r*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 4*i, -2*n - 7*i = -5*i - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50780 divided by 12695?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 846 - 806.7. Let a = -39.3 + x. What is the biggest value in 2, -2\/21, -1, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000541258 to five dps.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*a - 8 = -t, -t = 4*a - 14. What is the units digit of (-708)\/(-30) + t\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose 0 + 6 = 2*y, 3*o = q*y - 138. Calculate the remainder when 19 is divided by (o\/10)\/((-4)\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 273 and 15210.\nAnswer: 106470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 485 - 336. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -42*k**2 - 39*k - 4. Calculate a(-3).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 75 = -i - 248, -l + 89 = -3*i. Calculate the remainder when 316 is divided by l.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 533.05 litres?\nAnswer: 533050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1057\/33605 + 3\/611. Let w = -51\/110 - m. Let g be (-4)\/14 + (-2)\/(-14). What is the closest to w in -0.4, -4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -634101 greater than or equal to -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 16. Let g be y(9). Let v(w) be the second derivative of 1\/12*w**4 + 4*w**2 + 5\/3*w**3 + 0 + 15*w. What is v(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287663830?\nAnswer: 2, 5, 128766383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 13*u**2 + 17*u - 29. Let o(b) = -b**3 - 6*b**2 - 9*b + 15. Let z(t) = 5*o(t) + 3*v(t). Let i be z(-8). Solve -h = h + i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 81. Let y = -6467 - -6363. Let q = l - y. What are the prime factors of q?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26539.3341 milliseconds to days.\nAnswer: 0.00030716821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06040017 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = 1. Let b be 2 - ((1 - 0) + -2). What is the third derivative of b*a - 2*a**4 - 3*a - 2*a**u wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(-1)*w)\/w))**(-32))**36 assuming w is positive.\nAnswer: w**(-2304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23081 + -6139615\/266. Find the common denominator of d and 3\/8.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12233 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-6)\/(-56)). Let f = 2 - l. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Suppose -3*o = 4*y, -4*o - 3 = -o + 5*y. Solve -j*k - 5 = 5*f, o*f + k + 37 = 6*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*1\/10 + (-66)\/(-90). What is the third smallest value in -0.4, 2\/489, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19 and -6.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/283 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 774 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (1 + -4 - -5). Suppose 26 - 111 = -s*y + 5*o, 4*o + 80 = 5*y. Is (-124)\/y*(1 + -7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in 0.1, 0.3, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 1\/24*p**4 + 1\/60*p**6 - 34*p**2 - 1\/6*p**3 + 0*p + 0 + 1\/60*p**5. Determine y(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 7*q**2 - 7*q + 9. Let b be f(6). Is b\/((-2)\/(176\/(-6))) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10710 divided by -5?\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x + 6. Let t be s(-7). Is 2*-293*(2 - t\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -641a (base 13) in base 15?\nAnswer: -41a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 24*i**2 - 22*i + 33. Let j be y(-25). Let c = j - -168. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -234 - -209.6. Let q = y - -25. Let v = q - 1.1. What is the smallest value in -3\/4, 5, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:02 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-131)\/(-262))\/((-6)\/112*69\/(-207))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*c = -137*c + 5*n + 45, 0 = 2*c - 3*n - 11. Solve -5*k + 4*h = -c, 4*h = 27*k - 31*k - 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -484 + 524 - -1*7\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010965383 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 2, 0.9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.83 - 11.94. Let v = -14 + f. Let h = v - -0.11007. What is h rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96214428.75 + -49.\nAnswer: -96214477.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 5010?\nAnswer: 45090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -11743100 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 62 = 120. Suppose 49 = -5*v - 3*x + 2*x, 0 = 2*x - 2. Let f be 2\/10 - 118\/v. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023 (base 4) in base 10?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 16561. Let d(z) = -21*z. Determine i(d(n)).\nAnswer: -42*n + 16561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132781 (base 11) to base 16.\nAnswer: 32ebc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44365107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 103947 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -1)*(-2)\/(-6). Let z = k + 0. Let n = 247756 + -247760. Which is the closest to 1\/3? (a) n (b) 12 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 34 - (-193)\/(-15)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 30 in ascending order.\nAnswer: 1, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j. Suppose 3*h - 4*p + 35 = 0, -4*p + 40 = -6*h + 2*h. Sort j, 5, h in ascending order.\nAnswer: h, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193625 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5))**(-8\/15)\/(u**(3\/5)\/u)**20 assuming u is positive.\nAnswer: u**(192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 65. Let v be (12\/10)\/((-18)\/u). Suppose v*c = 15 + 41. What is the remainder when c is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - l - 115 = 0, 0 = v - 2*l - 2*l - 42. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 3*m**2 + 3*m + 3. Let h be d(-3). Sort 3, 5, h in descending order.\nAnswer: 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 1, 0, -2, -11 in increasing order.\nAnswer: -50, -11, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/17 + 145116*f**3\/17 - 2632041426*f**2\/17 - 10530487688*f\/17.\nAnswer: -2*f*(f - 36281)**2*(f + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*q + 60. Let s = 36 - 16. Let k = q + s. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000821417 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-8)*(-8)\/6. Let c be (4 - -1)*(k - 1). Suppose 4*s - c*b - 37 = 3*s, 42 = 2*s - 2*b. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - d - q + 17, -3*q - 19 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5074814351 to the nearest integer?\nAnswer: 71238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1140 and -11\/54492.\nAnswer: 272460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**3\/3 + 5*p**2 + 3*p + 7. Let y be r(-9). Let i be (-15)\/10*1840\/y. Round i to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - (5 - (18 + 0 + 2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0219657 take away 32449?\nAnswer: -32448.9780343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 5.4. Let b = -7 + p. Let n be (2*27\/(-144))\/(78\/(-12) - -7). Is b equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5021.991l to millilitres.\nAnswer: 5021991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67822, 67807, 67782, 67747?\nAnswer: 67702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/8 - 34*t**2. Let k(a) = -15*a**2. Calculate u(k(m)).\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1419*w - 68 = 1385*w. Sort -3, -1\/16, -1.8, 0, w in descending order.\nAnswer: w, 0, -1\/16, -1.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.102 + -19713.502. What is h rounded to the nearest 100?\nAnswer: -19700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 355 + 4300?\nAnswer: 4655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c - 5*c - 3 - 6 as y + q*c and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 2. Let m(o) = -o**3 - 9*o**2 - 4. Let n be m(-9). Let w be 4*2*(-2)\/n. List the prime factors of c(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -46228, 0.02, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 216\/(-52) + -1 + 3. Let g = -6500 + 6495. Which is the second biggest value? (a) g (b) -31 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32765 + -20843. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 24195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 0*f - 2*f + 23*f = 484 - 74, 0 = 6*f - 120 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 2183*c\/4 + 2179.\nAnswer: (c - 2179)*(c - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 55*k - 104. Let w be c(8). Suppose -2*q = -6*q + w. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 2. Let u be n(3). Let b(z) = -152*z + 5. Is b(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + 63. Let i = -1142\/11 + v. What is the nearest to 1 in 0.5, i, 1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/344328 + -2257261\/114776. Let h be (1461\/12)\/(114\/7). Let y = 94\/57 + h. Calculate the common denominator of y and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*d + 4*d + 41*d - 33*d + 1 in the form m*d + l and give m.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f**2. Let i(j) be the third derivative of -j**5\/60 - 18*j**2. Determine i(l(z)).\nAnswer: -169*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 59 (b) -1\/4 (c) -0.14 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2\/5 - 2829*u\/5 - 386232\/5 = 0. What is u?\nAnswer: -121, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -502, -754?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90172 - 52104. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7067341 kilometers to micrometers.\nAnswer: 706734100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:21 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**5 + k**5 - 6*k**5)*(0 - 4 + 3) - 2*k**5 + k**5 - k**5 + (0*k**4 - k**4 + 0*k**4)*(-k - 3 + 3) - k**5 - 3*k**5 + 6*k**5 - 225*k - 22*k**5 + 225*k.\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -31, 5 in increasing order.\nAnswer: -31, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - i**2 - i + 1. Let l(v) = 5*v**3 - 6*v**2 - 6*v + 8. Let a(t) = -l(t) + 6*u(t). Suppose 0 = -2*d + 3*d - 2. Give a(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8187884.\nAnswer: 2, 2046971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6625\/48 - 138. Let b(t) be the second derivative of h*t**4 + 0 - 1\/80*t**5 + 1\/168*t**7 + t - 1\/120*t**6 + 0*t**2 + 0*t**3. Factor b(f).\nAnswer: f**2*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -214851?\nAnswer: -214851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 + 119. Let b(p) = p + 3. What is the remainder when z is divided by b(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 33727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwfddddj. Give prob of sequence djd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12057, 12070, 12097, 12144, 12217?\nAnswer: 12322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o + 16. Let r(h) = -3*h + 6. Let s(n) = 3*f(n) - 8*r(n). Let u(q) = q**2 + 455 - 221 - 227. Calculate s(u(c)).\nAnswer: -3*c**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-9))\/((-6)\/(-9)). Let v = -84 + 119. Let n be 44\/(-110) + 24\/v. Which is the closest to 2? (a) n (b) k (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 59, -0.5, -5, -34?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-3*z**4 + 2*z**4 + 3*z**4) - 24*z**3 - 6*z**4 + 24*z**3 + z**2 + 2*z**3 - z**4 - 2*z**3.\nAnswer: -9*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*q**3 - 112130*q**2 + 2729116*q?\nAnswer: 108*q - 224260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13918 + 14173. Calculate the highest common divisor of 435 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 36*u**4 - 2*u + 0*u**2 - 19\/3*u**3 - 173. What is the third derivative of o(x) wrt x?\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -302938.09 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 2. Let z be j(6). Is z at most as big as -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*u - 2 = 26, 3*j - 84 = -3*u. Solve -3*v = -5*x - 8 - 3, 4*x + 4*v = -j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4 and -8\/95.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11 and -0.49348?\nAnswer: 10.50652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/13 (b) 3 (c) -1\/33 (d) -3 (e) 1.1 (f) -0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112 + 388 + 1088 + 343*j**3 - 114 + 129*j**3 wrt j?\nAnswer: 1416*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19743, -19653, -19561, -19467, -19371, -19273?\nAnswer: -19173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/9632 and 97\/28387912.\nAnswer: 113551648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(3*v**2 - 3*v**2 - v**2) - v - 16*v**2 + v + (-6*v + 5*v - 2*v)*(-v + 0 + 0) + v + v**2 - v.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9931842719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64275 or 64362?\nAnswer: 64362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 592472413\/20 + -29630394. Let k = u + 6770. What is the common denominator of k and (-139)\/(-18) - 0\/2?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 + 3496*v**3 + 10524*v**2 = 0 for v.\nAnswer: -3, 0, 877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9103, 9026, 8937, 8830, 8699, 8538, 8341?\nAnswer: 8102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.3 * 3.\nAnswer: 39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73405 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 93*c - 983. Determine g(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 4*d**4 - d**4 + (-1 + 1 + 2*d**2)*(-7*d**2 + 2*d**2 + d**2) + (-4*d + 4*d - 2*d**2)*(-3*d + 0*d - 2*d)*(-4*d + 0*d - 2*d).\nAnswer: -66*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1418578 months to centuries.\nAnswer: 0.0017848815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -313.97871*-0.2\nAnswer: 62.795742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from ppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19478.26 years to millennia.\nAnswer: 19.47826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/8)\/((-12)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -25. Let b be -2*(t\/(-10) + -3). Sort 1\/27, 2\/9, b in descending order.\nAnswer: b, 2\/9, 1\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*124\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66922600 by -16730650.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/16*470240\/(-29390)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1427 is divided by 251?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/6 + 7*v. Let w(i) = -19*i. Give h(w(g)).\nAnswer: -722*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.814 + -0.186. What is the biggest value in -2.7, n, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6877*f - 116897. Give p(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/(z\/(z\/z**(-6\/11))))\/(z*z\/(z\/(z*z**(-1)*z))*z*z*(z**(2\/3)\/z)\/z) assuming z is positive.\nAnswer: z**(95\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -577, -1902, -4111, -7204, -11181, -16042?\n\"Answer: -442*i**2 + i - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 8:32 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 6?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*d)*(2 + 0 - 1)*((-3*d + d + d)*(6*d - 3*d - 2*d) - 6*d**2 - 2*d**2 + 0*d**2).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1 (base 15) in base 8?\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/7*2\/(-4). Let t be (6\/8)\/(z\/(-4)). Let l(q) = 11*q - t*q + q**2 - 2*q**2 - 9. Determine l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -1\/3*y**2 + 2*y + 1\/6*y**4 - 2\/3*y**3 - 8. Factor w(s).\nAnswer: 2*(s - 3)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 - 33846*t + 472473. Determine y(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-192)\/(-800))\/(3\/5). Let 0 - p*f - 2\/5*f**2 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12450 + -12451. What is the smallest value in h, -2\/37, 1, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+0.0522486\nAnswer: -0.1477514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 121*k**3\/3 - 73*k**2 + 109. What is the second derivative of t(l) wrt l?\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*1 + sqrt(144) - sqrt(144))*5)\/(sqrt(972) + (sqrt(972) - 2*(-4*sqrt(972) + sqrt(972) + sqrt(972) + sqrt(972))) - sqrt(972)).\nAnswer: 10*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = 2*q + 3*q, 4*q = -d + 13. Let s(t) = -3*t + 2. Let f(v) = 2*v - 2*v - 1 + v. Suppose 0 = -0*i - 5*i + 5. Give i*s(m) + q*f(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250605, -501213, -751819, -1002423, -1253025, -1503625?\nAnswer: -1754223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-22) - (4025\/(-275) + 12). Which is the nearest to -1\/5? (a) -5 (b) -83 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-6))\/(-1*2). Let h = -2088.1 - -2087. Which is the closest to 0.1? (a) 3 (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 230*u - 3038. Give q(-21).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k - 1. Let z(l) = -7*l. Let n(s) = -5*i(s) + 6*z(s). Let a(b) = b - 2. Let t(j) = -5*a(j) - 2*n(j). Let u(y) = -3*y**2 - 3*y. Determine t(u(h)).\nAnswer: 3*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -29, 60, -3, 2, 0 in descending order.\nAnswer: 60, 2, 0, -2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 401 - -2?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9117 = 5*c - w - 10495, 3*c + 3*w = 11760. Does 78 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 8. Determine y(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -51281?\nAnswer: -5128.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 16*o = -31644. List the prime factors of o.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 0.049?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**9\/(v*v\/v**7*v))\/(v**(2\/5))**4)**(-2\/9) assuming v is positive.\nAnswer: v**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**4 - x**3 + x**2 - x. Let p(r) = 14*r**4 + 5*r**3 - 5*r**2 + 39*r. Let s(l) = -5*g(l) - p(l). What is the second derivative of s(y) wrt y?\nAnswer: -228*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t + t**2 - 3 + 1\/3*t**3. Determine j, given that s(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trttrrrrtttttttrdrtt. What is prob of sequence tt?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 1 (c) 2\/7 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 4*q**2 - 4. Let l be y(3). Let c(t) = t - 3. Let u be c(7). Suppose u*g - l = 2*g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -54*z**3 + 1. Let d = -8 - -7. Let o be j(d). What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) -30 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2054235 (base 6) in base 7?\nAnswer: -566510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 + 5 = 0. Suppose -5*f + 5 = -5*t, -17 + 4 = -5*f + t. Suppose 0 + 21 = -f*w. Sort w, 0, u.\nAnswer: w, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -48. Which is smaller: l or 0.03?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/2161? (a) -23 (b) 6 (c) 0 (d) -2\/9 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17702084*k**2*q + 21487831*k**2 wrt q.\nAnswer: -17702084*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 274\/5 + -55. Let r = -0.295 - -382.295. Let c = r + -395. Is j bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 4:40 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/11 in 0.8, -0.064, 0.3, -2\/9?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -32. Let s = i - -39. What is the third derivative of -s*g**2 - 4*g + g**6 - 5*g**6 + 4*g wrt g?\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2 and -3 - 1144\/(-133159)*349.\nAnswer: 20486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39740742.\nAnswer: 2, 3, 19, 116201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102 is divided by 278.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2 = 3*j - 8, 4*j + y = 8. Suppose -j*u = -7*u - 130. What is the units digit of (-2)\/(4\/u) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**3 - 233432*y**2 + 3423096064*y - 508225689600 = 0.\nAnswer: 150, 29104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a - 4. Let d be v(-3). Let x = -12 + d. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -46.37 (c) 1\/5 (d) -3\/2 (e) 2 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p - 3488 = 49*p + 103*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-3 - 35\/(-10)))\/2. Put 5, -2\/7, -5, w in descending order.\nAnswer: 5, w, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 9189, -6, -1, -3 in decreasing order.\nAnswer: 9189, 5, -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149.07 + -147.5478. Let h = 1.406 - g. What is h rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/10 - 6*b\/5 = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/154 + (-13776)\/(-176) + -9.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/8 and -39\/110638?\nAnswer: 442552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58207, -232789, -523759, -931117, -1454863?\nAnswer: -2094997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 + -436?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1530020 and 4520?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 4*y + 196. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 16. Let q be p(-7). Let u be 1054\/q + 4\/(-30). What is the greatest common divisor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2114391 to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103065966 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-0.31.\nAnswer: -2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -346 and -0.5519.\nAnswer: -346.5519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 + 16023440*s**2\/3 + 128187616*s\/3 + 85458432.\nAnswer: -2*(s - 8011728)*(s + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2 - 6*h**2 + 21*h**2 + 3 in the form d*h + k*h**2 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*h**2 + 7895154*h + 4511512.\nAnswer: 2*(h + 563939)*(7*h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1465406 litres?\nAnswer: 146.5406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.213 + -29.287. Let y = s + 29.7. Let p = 5\/14 - 3\/14. Which is the second biggest value? (a) p (b) 0.4 (c) 2\/19 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 12 = -0*j. Calculate the smallest common multiple of 7 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1561891.56 and -0.3?\nAnswer: 1561891.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 34*v**2 + 34*v - 45. Let h be t(33). Let c be 18\/h - (-35)\/42. What is the biggest value in 2, c, 0.2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2\/5651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-106941186)\/(-698958))\/17 + -9. Is y not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12087 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 900 - 888. Suppose 3*v = p, 3*b - 52 = -2*b - 3*v. Let a = -2 + 3. What is the least common multiple of a and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433580 is divided by 288.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/3570 and (-2)\/73 + 2363136\/31898664.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.4 + 4.6. Put -3\/7, -2, -0.15, f in ascending order.\nAnswer: -2, -3\/7, -0.15, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3993697 or 3993699?\nAnswer: 3993699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/12 + 21*b - 19. Let z(y) be the first derivative of w(y). Let l(i) = 18*i**2. Calculate z(l(o)).\nAnswer: -324*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 68*s**2 + 15*s + 10. Let y(h) = -h**3 + 136*h**2 + 25*h + 19. What is 5*u(v) - 3*y(v)?\nAnswer: -2*v**3 - 68*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -794 (b) -4 (c) -12 (d) -2 (e) 50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-5\/6)*p\/(p\/((p\/(((p*p**(-1\/4)\/p)\/p)\/p))\/p))*p*p*p**(-6)\/(p\/p**(-9)*p))**(-7\/3) assuming p is positive.\nAnswer: p**(1057\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 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: Which is greater: 87\/347 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m = -35*m - 8, 3*z - 6319 = m. Let b = z - -372. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/107 - -313\/856. Which is the second biggest value? (a) 2\/31 (b) 0.5 (c) 3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 62, 112, 180, 272, 394, 552?\n\"Answer: p**3 + 31*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -55*l + 53*l. Is (-10 - -7) + 384 - (-1 - l) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktb when three letters picked without replacement from pppbkkpppppkkkkt.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32223000 divided by -3\nAnswer: 10741000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 54*o = -19, f = -5*o + 8 - 10 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 10*s. Let o be v(-3). Put o, -4, -1 in descending order.\nAnswer: -1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2014843 to 4 decimal places.\nAnswer: -0.2015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-15 - -10)) + 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -269*z - 1326 + 1326 as m + l*z and give l.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 111*q**2 - 125*q + 1691. Determine p(110).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/8 and -91\/102496.\nAnswer: 102496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3077 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 15*y - 51. Let w be t(-18). Let d = 1.98 + 0.02. Which is the nearest to 1? (a) w (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - r - 14. Let z be w(0). Is ((-45)\/(-30))\/((-3)\/19)*z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375, 720, 1065, 1410?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/304*19*(-6)\/5)\/((-369)\/(-36))?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**3 - 13*u**3 - 15*u**3 - 2*u**3.\nAnswer: -46*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 0*h - 5*h)*((3 - 4 + 0)*(-7 + 13 - 10) + 2 + 0 + 1) in the form m + d*h and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.85 - 0.15. Let j = -5 - d. Let p = 4 + -2. Which is the closest to p? (a) -0.1 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713787029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + -14 + 12)\/(28\/(-8)). Is 4 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69327*p + 4216*p + 35354*p.\nAnswer: 108897*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 11000001010?\nAnswer: -11000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*p + 677*p - 133041 = 2261*p for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**37)**(3\/11)*i**(1\/41)*i**(6\/5) assuming i is positive.\nAnswer: i**(25516\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 270 = 78*o - 170 - 106 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-246)\/(-264) + ((-24)\/(-22))\/(-6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1165496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 121\/132 + 9\/12\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -1\/120*u**6 + 0 + 0*u**3 + 5\/24*u**4 + 0*u**5 + 0*u - 5*u**2. What is the second derivative of t(p) wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1193\/5130 + 4\/(-40) and -91\/76?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/13 (c) -3131427 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, 0.3, -2\/1365?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (6 - 6)) + -8 + -8 + 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)*a**9)**(-15\/4))**(-24\/5) assuming a is positive.\nAnswer: a**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-28))\/(36\/315))\/1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33 - (0 + 0))\/(12\/(-4)). What is the closest to u in -0.5, 0.3, -3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 4:07 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -72.2 and 0.03.\nAnswer: -72.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -4\/9*l**3 + 2\/3*l - 1\/9*l**6 + 2\/15*l**5 + 1\/3*l**4 - 1 - 1\/3*l**2. Factor n(b).\nAnswer: -2*(b - 1)**3*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - 103363310\nAnswer: -103363310.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctjtthr. Give prob of sequence ttrt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 305529*r**3 - 305634*r**3 - 5*r**4 - 83*r - 97*r - 280*r**2.\nAnswer: -5*r*(r + 1)*(r + 2)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:15 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 7*k - 144. Let t = 27 + k. Solve 5*r + 7 = -t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2 (c) 2\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*w - 4*j - 313 + 423, -155 = -4*w - j - 0*j for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 - 30*f**4 + 240*f**3 - 370*f**2 + 165*f = 0.\nAnswer: -11, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958308126?\nAnswer: 2, 3, 159718021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 4*n**2 - 64 - 64 + 128. Let m(j) = -6*j**2 + 7. Give v(m(x)).\nAnswer: 72*x**4 - 168*x**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Let q be (-32398)\/z - 4\/6. What is q rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013053471567 to 7 dps.\nAnswer: -0.0130535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**7\/14 - 11*j**6\/40 + 3*j**5\/50 + 7*j**4\/10 - 4*j**3\/5 + 2*j**2. Suppose s(h) = 0. Calculate h.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3781*h - 7590. What is o(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1836024.\nAnswer: 2, 3, 113, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897493.\nAnswer: 13, 227, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8971.729 micrograms?\nAnswer: 0.008971729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3671 + -2?\nAnswer: 3667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g + 49 + 6*g - 23 - 26 - 37*g.\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, s: 4}. Give prob of sequence rsrr.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -5*x**3\/3 - 105*x**2\/2 + 230*x + 341. Solve b(t) = 0.\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 9 - (30 - 36) - 3. Put k, -4, 53, 0.2 in ascending order.\nAnswer: k, -4, 0.2, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 269.\nAnswer: 9\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 91*j - 101*j - 46 = 0, -2*j = -4*i - 48 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(5 + sqrt(720)*-1).\nAnswer: -60*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 - i + 1. Let u(l) be the third derivative of l**5\/60 - l**3\/6 - 8*l**2. Determine 2*h(w) + 2*u(w).\nAnswer: -2*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/113000 and -9\/7232?\nAnswer: 904000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/8)\/k*k*k)\/(k*k\/((k\/(k**(3\/2)*k))\/k)*k)*(k**0)**(-1\/25))**(-7\/4) assuming k is positive.\nAnswer: k**(245\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.90202 decades?\nAnswer: 0.490202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 - (-55)\/(-10). What is the tens digit of -9*(34\/c + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*x + 45, 5*x = -0*x. Let f = 17 - r. Suppose 27 + 45 = f*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 861 = v, -125 = 2*b + 4*v - 995. Let l = 523 - b. Calculate the remainder when 467 is divided by l.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10141230 (base 5) to base 13\nAnswer: -2c28c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = -118. Let c = w + -37. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4*w**3 - w)*((-w + 2*w - 3*w)*(-2*w + 3*w - 3*w) - w**2 + 3*w - 3*w - 384 + 614 - 344 - w**2).\nAnswer: -8*w**5 + 456*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/20 and -11\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/815 and -24\/5053.\nAnswer: 25265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32, 58, 88, 122, 160?\n\"Answer: 2*w**2 + 20*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((-8 - -24 - 24 - 2) + 30)) + -12\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1713)\/(-2)*(-5)\/(20\/(-24)). Suppose -4*u + v = 5*t, 5*t + 2*u - 5143 = -u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -20*i. Let r(q) = 79*q - 15*q - 23*q - 18*q - 20*q. Give r(s(k)).\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -p + 8570, 1003 + 16142 = 2*p + 5*q. Let w = 14924 - p. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.551567 rounded to 1 decimal place?\nAnswer: 32.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2235*j*s + 45*j + 6241537*s + 4 wrt j?\nAnswer: 2235*s + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -6266, -5, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 21*h**2 - 5*h + 14. Let j be l(4). Suppose 5*z = 5*r + 390, -4*z + 2*r - 4*r + j = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -2\/3*c**3 + 0*c + 0*c**2 + 1. Let b(l) = -73 + l**2 + 73. Give h(b(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**2\/4 + 1285*s\/4 = 0.\nAnswer: -257, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 19 = 5. Let x be (i\/9)\/(-2)*-9. Is (6\/(-2))\/(-3)*x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2324*y + 12729. What is g(-5)?\nAnswer: 1109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/29)\/(y*y**(-7\/5)))\/(y*y**(3\/4)\/y*y**3))**(-49) assuming y is positive.\nAnswer: y**(93247\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.629 + -2.129. Let h be 3 + 20\/(-6) - 2\/(-3). Suppose -9 = -f - q, q = -2*f + 9 + 5. What is the nearest to h in g, f, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**4*z - 111*p**3*z + 8*p**2*z + 2*p*z + 2*p - 12*z - 10 wrt p.\nAnswer: -24*p**2*z - 666*p*z + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*t + 93*t + 237*t**2 - 185*t to the form o + n*t + g*t**2 and give g.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -40*y. Let u(v) be the first derivative of 2*v**3\/3 - 11. Calculate u(b(j)).\nAnswer: 3200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 4\/7 (c) -186 (d) -4\/5 (e) -8 (f) -3 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22465*n = 23034*n - 14225 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 0*r - 12*r + 3*r + 10*r. Let y(s) = -s - 1. Let a(m) = -3*m - 6. Let p(b) = -a(b) + 6*y(b). Calculate q(p(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9410 - 2071. Suppose -3*r = 2*x - k, x + 3*x - r = 14713. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0*m - 37\/105*m**7 + 0 + 0*m**6 - 72*m**2 + 0*m**4 + 127\/3*m**3 + 0*m**5. What is the first derivative of f(u) wrt u?\nAnswer: -296*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 - -85. Let g = -2.4 - -14.4. Let y = g - n. Which is the smallest value? (a) 3 (b) -1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*q**2 - 108*q**2 + 54*q**2)*(4*q + 2*q + q).\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 32. Let s be w(18). Calculate the smallest common multiple of 10*(s + (1 - -6)) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -1467562?\nAnswer: 1467561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5226.81 + 5\nAnswer: 5231.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001001101000110 + -111?\nAnswer: -10000001001101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3274971?\nAnswer: 3, 7, 277, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 4*v + 17484 = 0. List the prime factors of v.\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102839963?\nAnswer: 3, 17, 43, 283, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 4*m + 4, 285*m - 622*m + 336*m = -4*a - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -24*o - 162. Let d be s(-12). Calculate the highest common factor of 90 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 - 4) - (0 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -1479*o + 51. Let j(c) = -403768*c + 13940. Determine -1640*b(w) + 6*j(w).\nAnswer: 2952*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4 = 2*g, 66*w + 8 = 5*g + 63*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6674, 13420, 20166, 26912?\n\"Answer: 6746*o - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 19*i - 86. Calculate n(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 10:36 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3882350 times -5?\nAnswer: -19411750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q**(-1)\/q*q*q))*q)**(11\/7))**(-17) assuming q is positive.\nAnswer: q**(-374\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*n*v**2*y + 108*n*v*y + 2*n*v - 2*n*y - 13*n - 2*v**2*y + 81*v**2 - v*y + y wrt v?\nAnswer: 44*n*y - 4*y + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -0*n - 55. Suppose 0 = 4*j + 5*f + 8, -5*j + 2*f + n = -18. Let a be (3 - 4) + 156\/j. What is a rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 49*x - 1. Let l be p(1). Suppose l = 2*q - 68. What is the remainder when q is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -266, -5, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 20 - 8, 0 = -2*w - 3*m - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 4*a = -1707 + 1763, 27 = -3*s - 3*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1088)\/187 + 6\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 14 - 10 - 3538*b**2 + 41 to the form c + l*b**2 + m*b and give l.\nAnswer: -3538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 6*a**2 + 6*a**2 + a**3 + (-2*a + 6*a + 0*a)*(-a**2 - 4*a**2 + 4*a**2).\nAnswer: -3*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122300323311 (base 4) to base 12.\nAnswer: -2424359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16936815 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -13*w**2. Let b(g) = -225*g**2 - 99. Let z(d) = 9*d**2 + 4. Let j(l) = -4*b(l) - 99*z(l). Give 5*a(h) + 7*j(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106104 is divided by 36832?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u. Let n = 0 + u. Let p(m) = m**3 - m**2 + 1. Let g be p(n). Solve -5*c + g = -9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11668552 and 1.433.\nAnswer: 11668553.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 + 0.63. Let l = 0.42 - -2.98. Let h = l - 0.4. Which is the biggest value? (a) g (b) h (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -16. Let p = -11 + z. What is the closest to 2\/9 in p, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in 1\/16, 16592, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(5\/4)\/(t**(2\/53)*t) assuming t is positive.\nAnswer: t**(45\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 2*o - 4 + 2*o)*(4*o**3 - 3*o**3 + 22*o**3) in the form d*o**2 + x*o**4 + i*o**3 + l + j*o and give x.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2040 and 461346.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-11 - -53) - (7 - 4 - -6)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0203 and -22585.\nAnswer: -458.4755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) + 1\/((-5)\/(-8)). Suppose 1 = -l + c*d, -8 = -2*l + 2*d - 2. Suppose 0 = -4*i + 18 + 2. What is the smallest common multiple of i and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28720.5 (b) 2\/19 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1.5. Let r = 100 + -93.3. Let o = 7 - r. Which is the nearest to 1? (a) t (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-16)\/66*57244\/(-93672)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7573344, 7573343, 7573342, 7573341, 7573340, 7573339?\nAnswer: 7573338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 9 + 1)*(-w + 0*w + 2*w)*(0 + 1 - 2).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1363968*h**2 - 901676 wrt h.\nAnswer: 2727936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o, -2*o = -4*r - 0*r + 52. Let t(m) = -13*m**2 - 61*m + 2. What is the remainder when t(-4) is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 80 - 25. Suppose -760 = s - w*s. Suppose s*x + 270 = 77*x. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 15 (b) -5 (c) -6 (d) -1116 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 332 + 327 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2331 and 5?\nAnswer: 11655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/928 and 95\/108.\nAnswer: 25056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/15)*h*h)\/(h**22\/h)*(h\/((h*h*h**22*h)\/h))\/(h**(-9)\/h) assuming h is positive.\nAnswer: h**(-482\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-33)\/(-5))\/(33\/55). Suppose -3*x = -0*x - 162. Suppose 0 = 3*a - 285 + x. Calculate the highest common factor of b and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1139, -1142, -1147, -1154, -1163, -1174, -1187?\n\"Answer: -i**2 - 1138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(612))*4 + -1)**2 + (sqrt(1377) - (sqrt(1377) + 3*sqrt(1377))*-5) + (-3*sqrt(1377))**2*-4.\nAnswer: -39780 + 189*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6838090 is divided by 2279336.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 194288, 777121, 1748492, 3108401, 4856848, 6993833?\n\"Answer: 194269*v**2 + 26*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 326124 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -427, -854, -1283, -1714, -2147, -2582, -3019?\n\"Answer: -a**2 - 424*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*f = 535 + 227, 4*f = s - 148. Differentiate 37 + 41 + s*n + 45 - 30 with respect to n.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -242*w**2 - 2*w**3 - 4 - 1 + 239*w**2. Let s(u) = -u**2 - 1. Calculate -r(n) + 4*s(n).\nAnswer: 2*n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1548 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 586\/7 - 3719\/42. Calculate the common denominator of k and (10\/(-90))\/(2\/(-7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(242) + -1 + 3.\nAnswer: 1 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = 2*b, 0 = 3*b - 4*g - 4 + 2. Let r be (4 - 2)\/(2\/3). Solve -r*y - 7 = -8*y - 4*k, 0 = -3*y + k - b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2. Let i(o) = 7*o**2 + 5*o + 5. Let c(s) = -3*s**2 - 2*s - 2. Let f(g) = -10*c(g) - 4*i(g). Calculate f(r(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 18248.\nAnswer: -75\/18248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175512*h**2 - 17*h**3 + 7*h**3 - 175512*h**2 + 15*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.218 + -0.25288. Let m = -0.034 - g. Round m to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.88000218 + 0.88. Round w to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17268.97846 and 0.073?\nAnswer: 17269.05146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/((-3)\/1) + 1686 + -1 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 + 149*v + 31. Let c be i(30). Solve 7*u = 6*u + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g\/(((g*g**9)\/g)\/g))\/g)\/g**2*g**(-1)\/(g\/(g**(-13)*g)*g))**(-1))**(2\/3) assuming g is positive.\nAnswer: g**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 63492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r - 3*r + r + 2*r + 2*r**2. What are the prime factors of v(5)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -163 and -18.50139?\nAnswer: 3015.72657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, o: 8, a: 1, h: 1, p: 1, s: 1}. Give prob of picking 1 p and 1 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27009657?\nAnswer: 3, 3001073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 60. Which is the third biggest value? (a) 4 (b) -1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - q = 18, 0 = -4*c - 3*q + 22 + 4. Solve -c*t + 5 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m + 297 = 617 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**2. Let a(g) = 5*g - 3. Suppose 4 + 1 = -s. Let x(n) = -9*n + 5. Let z(r) = s*a(r) - 3*x(r). What is v(z(l))?\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 6. Let j be u(2). Suppose h - 4*h - 2*s = -6, j*s + 14 = 2*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 419729973.54 + -26.4.\nAnswer: 419729947.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 2\/9 (b) 2 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:09 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 396 - -2?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-2 - -11 - 14) - -21 - 7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139*x - 161*x - 192*x - 1 + 2175*x)*(-2*x**2 + 3*x - 3*x).\nAnswer: -3922*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 1, v: 3, r: 1, e: 2}. What is prob of picking 1 b and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -47017250 divided by -2807\nAnswer: 16750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 23.507?\nAnswer: 11.7535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*t = -8, 17 = 4*p + 4*t + 57. Let s be (-39)\/(-21) + (-1)\/p. Solve 6 - s = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110896752 divided by -4\nAnswer: -27724188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.78969 litres in millilitres?\nAnswer: 61789.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -23*z + 27*z - 62, -2*m - 20 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*g + g. Suppose 0 = -0*t - t + g. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-77 - 19)\/(-3 + 5 - 3). Suppose -5*t + 0 = w - 5, 0 = -4*t - w + 5. Suppose -4*x + x - c = t. Is x != -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-12)*60 - -57.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 586 + -562. Suppose 9 = -y*m + 57. Solve 5*b = -2*p - 16, m*p = -4*b + 7*p - 26 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -17*a. Let b(m) = 8*m. What is d(b(r))?\nAnswer: -136*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -4)\/4 + 2. Solve 7*c + p = 6*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 25. Let d be z(17). Which is the smallest value? (a) -0.5 (b) d (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-825)\/(-495))\/(-1))\/(((-40)\/(-198))\/(-4))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 2787?\nAnswer: 222.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + sqrt(1377) + 2 - sqrt(850)\/sqrt(2)*-2*1)**2.\nAnswer: 76*sqrt(17) + 6141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 12*m - 11. List the prime factors of q(9).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.919 + 8.46. What is a rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257859 is divided by 752614?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = -2*r, -n - 2*n + 3*r = -3. What is the second derivative of 3*i + n*i**2 + 2*i**2 - 3*i**2 - i**2 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q - 7*q = 200 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(((w**(2\/5)\/w)\/w*w*w)\/w)\/w)**(6\/5))**(-45) assuming w is positive.\nAnswer: w**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/8, 0.2, 14480, 20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77434297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 12. Let i be q(3). What is the third derivative of 32*m**2 - 17*m**4 + m**4 - i*m**4 wrt m?\nAnswer: -816*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2021*o**2 - 748*o**2 + 4938*o**2.\nAnswer: 6211*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*s - s. What is the remainder when 23 - ((-15)\/(-3))\/5 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2372 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-1)*b))\/b)**49)**7*(b**1)**5*(b**(1\/2))**32 assuming b is positive.\nAnswer: b**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1622568, -1622565, -1622562?\n\"Answer: 3*p - 1622571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100210202 - 100?\nAnswer: 10100210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6363.1738 to the nearest one hundred.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 2*d. Suppose q + 4*h = d*h + 1, 0 = h + 3. Which is the nearest to -0.1? (a) 3 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -501.7383457 rounded to 1 decimal place?\nAnswer: -501.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 6*h + 210. Suppose 0 = h*w - 75*w + 70. Calculate the greatest common divisor of 126 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6) - ((-39)\/15)\/13)*-6. Suppose -2*y - 5*a + 14 = 0, y + 5*a - 1 = 11. Find i such that 2\/5*i**y + r*i + 2\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12668.83 decades to centuries.\nAnswer: 1266.883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22806, -45428, -68050?\nAnswer: -90672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 26 + 96. Let v = j - -111. Suppose 4*y - v = -2. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.88 + 0.28. Let p = d - -3. Let y = p + 0.7. Sort y, -4, -0.3.\nAnswer: -4, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -170 (b) -3\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 312391\nAnswer: -624782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71\/145 - 9\/29. What is the nearest to -1 in n, 1\/2, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -1\/6*l**3 - 1\/30*l**7 + 0*l**4 + 0*l**5 + 2*l**2 + 0*l + 0*l**6 + 0. What is the first derivative of a(k) wrt k?\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (264\/(-6) + 79 + -21)*2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**2 + 1673628*d + 147248288 = 0?\nAnswer: -418319, -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1652*v + 1652*v + 36*v**2 + 1 to r*v + n*v**2 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {s: 9, v: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-13)*a))**(1\/4)\/((a**(-1\/7)\/a)\/a*a**(-23)) assuming a is positive.\nAnswer: a**(197\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -602, -1380, -2466, -3854?\nAnswer: -5538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/23 (b) -140 (c) -3\/7 (d) -32 (e) 0 (f) 0.1 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4781.36785 to the nearest 100.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o - 2. Let c be (18\/(-21))\/(5\/(-35)). Let n(v) = -v + 5. Let z be n(c). Let u(t) = t + 1. Give z*u(y) - x(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24)*6)\/(169\/13).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 1. Let f(v) = -7*v**2 + v - 2. Determine -f(h) + n(h).\nAnswer: 7*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - 1*sqrt(242))*-5 + sqrt(6)\/sqrt(3) + 0 + -1*sqrt(128))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -86. Suppose w = -j + 3, 5*w - 15 = -3*j + 2. List the prime factors of j - -1 - -1 - (l - -11).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*x + 2812 = 0, 3*n - 5*x + 2807 = 7*n. Let w be 26\/6 - 6\/18. Suppose -5*v - 3*t = -0*v - n, 0 = t + w. Is 36 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2, 2*x - 323 = y - 5739. What is the remainder when y is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0*j**2 - 1\/3*j**3 + 0 - 16*j. Let g(p) = -35*p. Give g(i(t)).\nAnswer: 70*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 4. Suppose 0*g = g + 17. Let n = -12 - g. Calculate d(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6344 minus -1.81752?\nAnswer: 1.18312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) 5 (d) 29 (e) -2325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28329823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.18 - -5.88. Which is the closest to 23? (a) 0.3 (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnz when three letters picked without replacement from nnnonnzooz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*x = 26 - 497, 5*h = -x + 477. Calculate the smallest common multiple of 240 and h.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okoo when four letters picked without replacement from koookoookokko.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -89\/2716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1\/4, -5, -2\/5 in descending order.\nAnswer: 1\/4, -2\/5, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**3*v*w + 2*t**3*v - 534*t**3*w - 2058*t**3 - t**2*v*w + 2*t**2*v + 83*t**2*w - 78*t**2 - 2 wrt t.\nAnswer: 24*v*w + 12*v - 3204*w - 12348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-27))\/((-2)\/(-2)*-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -26*l**3 - 4*l**2 + 7*l - 7. Let p(j) = 43*j**3 + 5*j**2 - 14*j + 14. Let o(n) = -5*i(n) - 3*p(n). Calculate o(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 1 - sqrt(128) - sqrt(128)) + sqrt(300)\/sqrt(6)*-5)**2.\nAnswer: -66*sqrt(2) + 2179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9013097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459824.2 minutes in days?\nAnswer: 1708.21125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00121 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3538 - -3547. Solve u*c = 68 - 113 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27467?\nAnswer: 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -24*x - 144. Let a(r) = -16*r - 91. Calculate -8*a(j) + 5*w(j).\nAnswer: 8*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - -3*sqrt(700))*6 + 4 - 4*(sqrt(700) + -1 + 4 + sqrt(700))**2)*-3.\nAnswer: 720*sqrt(7) + 33696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3279701 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/17075972 and -109\/6.\nAnswer: 51227916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-211 + 17*b - 2*b - 28*b)*(6*b - 3 + 3) to d*b**2 + v*b + t and give d.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 1. Let y be s(5). Suppose -2*q - y = -2*w, w + 2*q - 3 + 0 = 0. Find the first derivative of -1 - 2*l**2 + 3*l**w + 2*l**2 wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.26440375 and 427.\nAnswer: 431.26440375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2106 + -325?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) - (-690)\/54. Let i(a) = -2*a**2 + r*a + 6 - 5*a + 7*a**2 - 4*a**2. Let x be (-3)\/((21\/4)\/7). Determine i(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w + 36. Let j be g(4). Let k be 1*-141943*(0 + -1). Suppose -k = 4*o - d + 86054, -2*o - 3*d - 114009 = j. What is o rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**2*q**2 - 120*k**2*q - 6*k**2 + 841*k*q + 2*q**2 wrt k?\nAnswer: -8*q**2 - 240*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.7 (b) -2 (c) -260\/11 (d) 0.4 (e) -208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + 0*i)*((2 - 2 - 2*i)*(-i**2 + 4*i**2 - 2*i**2) + 3 + 10 + 29*i**3 - 31*i**3).\nAnswer: -4*i**4 + 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7}. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2, 3\/4, -84, -1.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 40?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 882 = -34*w - 14*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2191032 is divided by 513.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 11 = -k - 34, 2*k - 10 = 0. Solve -2*t = 3*v, v - 2*t = 2*t - o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/(6*-2*sqrt(7)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 152640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyy when three letters picked without replacement from wrrrwyrrryww.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -29561120 divided by 5\nAnswer: -5912224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 0.5 (c) 6 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/120 + f**4\/6 - 4*f**3\/3 + f**2. Let n be (-6 - 0) + (-20 - -21). Is s(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 3. Let g be 117\/21 + 4\/(-7). Let d(t) = 4*t**2 - 5. What is g*j(m) + 3*d(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -44. Let z be (-7 - -5)\/(b - (-12)\/(-5)). Solve z = -y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53075000 divided by -19300?\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5602013 (base 8) to base 10.\nAnswer: 1508363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2) - (-4)\/1. Let s(t) = t + 10. Let g be s(-10). Sort 4, f, g in ascending order.\nAnswer: g, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + x**2 - 1. Let k(h) = -11*h**3 + 2*h**2 - 3. Let n(z) = -32*z**3 + 5*z**2 - 8. Let r(a) = -17*k(a) + 6*n(a). What is -4*m(s) - r(s)?\nAnswer: s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 485 = 475. Suppose -4*s + i*h = -2, 3*h + 4 = 2*s + 1. Solve -6 = -4*v + v + 5*l, s = 3*v - 4*l - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 b, 1 a, and 1 p when four letters picked without replacement from rpraabparp.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131796740*d**2 + 82586229 wrt d?\nAnswer: 263593480*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/(6\/24). Let v be 2*1\/(3 - c). Suppose 20 = -2*d + 4*u, 4*d = 4*u - 0*u - 20. Solve -4*q + v*r + 20 = d, -2*q - 8*r + 3*r - 2 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 172790 = -3*y + 962744, 4*y - 4*k = 1053272. Let m = -377418 + y. What is m rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**5 + 60660*r**4 - 242590*r**3 + 363860*r**2 - 242565*r + 60640 = 0.\nAnswer: 1, 12128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 121*g - 109 = 125*g, 99 = -5*s - 4*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73810520 + -1?\nAnswer: 73810518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*t**2 + 1 + t + 3*t**3 - 2 + 43*t**2 to the form j*t**2 + q + s*t**3 + n*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6513053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1363, 2, -2, -1, -0.1.\nAnswer: -2, -1, -0.1, 2, 1363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 139950285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 38*p**4 - 9*p**2 + 4*p + 4. Let d(c) = -38*c**4 + 10*c**2 - 3*c - 3. Let o(f) = -4*d(f) - 3*h(f). What is the third derivative of o(s) wrt s?\nAnswer: 912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o + 0)*(15 - 15 - 5*o)*(-30*o**3 - 65*o**3 - 17 + 19).\nAnswer: 475*o**5 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6608 divided by 8?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.2. Let g = 0.009034 - -0.660966. Which is the nearest to v? (a) 1\/5 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 5*s - 5*u, -2*s - 4*u + 262 - 130 = 0. What is the remainder when 111 is divided by s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576800239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4937959 hours in nanoseconds?\nAnswer: 1777665240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -3*v - 3*o + 5, v = 3*o + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1989472 to the power of 1\/2, to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:32 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2 - 7*i**2 - 8*i - 4*i**2 - 3*i**2 wrt i?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 279, 598, 1257, 2400, 4171, 6714, 10173?\nAnswer: 14692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (34\/(-8755))\/(1*(-2)\/10). Is r greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 0.2, -2\/163, -2 in ascending order.\nAnswer: -2, -2\/163, 0.2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*p + 6*p. Let c be 78\/5 - 2\/p. Solve -41 = 5*o + 5*x - c, o = 5*x + 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 50 + 5)*(-2*b**4 + 3*b**4 - 2*b**4) + 6*b**4 + b**4 - 5*b**4.\nAnswer: -47*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**7\/560 - 11*w**6\/2160 - w**5\/360 - 8*w**3\/3 + 7. Let x(f) be the third derivative of k(f). Find g, given that x(g) = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 3 - 6) + (5 - (5 + -4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(((c**(-5)\/c)\/c)\/c)\/c*c)**(-7\/3)\/(c*(c*c**(-28))\/c*c**(3\/10)) assuming c is positive.\nAnswer: c**(1291\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1082460 and 63\/50?\nAnswer: 5412300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246620972 divided by -20893.\nAnswer: -11804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 57. Suppose 4*p = -2*w + 2*p + 234, -w = -l*p - 102. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*y = 92*y + 1521 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*p = 49 - 2, -14750*d + 14752*d - 6*p = -4 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 + u + 12. Let i(t) = t**2 - t - 4. Let l(g) = 7*i(g) + 2*q(g). Let k(v) = 2*v**2 + 8*v + 6. Calculate -5*k(h) - 8*l(h).\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(288)*1)\/sqrt(9).\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 53, -613, -2 in descending order.\nAnswer: 53, -2, -4, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/((-8265)\/58)*10\/24*2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.6 (b) 0.3 (c) 2\/17 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2 + 2)*(-438*a**2 + 207*a**2 - 58*a + 217*a**2).\nAnswer: -28*a**3 - 116*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140927442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 191, 280, 353, 404, 427, 416?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 + w**3 - 10*w + 11*w + w**3 - 3*w**4 as u*w**2 + b*w**3 + n*w + q*w**4 + c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 8:29 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0, -140.\nAnswer: -140, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1498 + 2585. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 61*(-465)\/(-5675). Let p(l) = 4*l - 12. Let v be p(3). Is z less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 54, 91, 126, 159, 190?\n\"Answer: -f**2 + 42*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.72 + -13.92. Which is the second smallest value? (a) w (b) -0.1 (c) 0.3 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(65)*-2 + sqrt(65) + 1*(sqrt(65) + (sqrt(65) - sqrt(65)*2))))\/(-5*4*sqrt(30)\/(sqrt(6) - sqrt(294))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*n**2 - 138 + 4*n + 66*n**2 + 138 + 80*n**2 in the form l*n**2 + o + j*n and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 6*g + 1953 = 0. List the prime factors of g.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.695166mg to grams.\nAnswer: 0.003695166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-178)\/7 + (-68)\/119)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -450\/29 and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 20. Suppose 12 = p*n - 52. Calculate the lowest common multiple of 14 and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7147 is divided by 3562?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = -16. Let y be j\/(-4)*(-2 - -4). Solve 0 = y*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 2\/7 (c) 9 (d) -46 (e) 15.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291425129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7661\/(-282) + 33)*6?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 130 - 20a6b?\nAnswer: -2093b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - 99. Let u = q + 109.000081. What is u rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35644, -71286, -106928, -142570?\n\"Answer: -35642*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4564544947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 19a3933?\nAnswer: -19a3933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-848)\/(-159)*(-27)\/(-264).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**2 + 5*k + 4 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*m = -2, 204*r - 206*r + m - 6 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 6. Suppose 5*u + 0*x - 64 = -2*x, 4*x = -5*u + 58. Let w(y) = -y**2 + 13*y + 20. Let l be w(u). Is 11 a factor of n(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 141\/156 + 3\/(-4). Let h be 4\/2 + 1*-6. Let i = -4 - h. Is j at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 1 - 11 = -y - 29*l - 21, -2*l = -y - 9 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-33)*d)**(9\/5)\/(d**(-25)\/d*d*d**(-2\/27)))**(1\/2) assuming d is positive.\nAnswer: d**(-4391\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 o, and 1 a when four letters picked without replacement from {b: 4, q: 8, o: 3, a: 2}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.62. Let m = 0.12 + t. Put m, 3, -2\/3 in decreasing order.\nAnswer: 3, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k + 7. Let g be t(5). Let m(r) = -g*r**2 + 23*r + 4*r - 12*r + 5. Let c be m(12). Round c to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 1174?\nAnswer: 109182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127 and 2413.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 50?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -78. Which is the second smallest value? (a) -5 (b) -2\/11 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9)*b**0*b)**27)**(5\/8) assuming b is positive.\nAnswer: b**(165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*r + 1 = 2196 + 1861. Is r equal to 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and (-12)\/(-45)*237 - 10\/50.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*a - a, 5*v - 3*a = 10. What is the second derivative of -4*t + t + t + 6*t**2 - v*t**2 wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.75, 3\/5, -261, 0.3, -21\/11.\nAnswer: -261, -21\/11, -0.75, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 - 149. Let n(r) = r**2 - 2*r + 4. Let p(m) = -2*m**2 + 3*m - 6. Let z(w) = y*n(w) - 2*p(w). Let b(v) = 16*v. Determine z(b(o)).\nAnswer: 256*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-131057)\/(-1660) + -75 + (-12)\/2 and (-26)\/10*(-2)\/(-14)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/9 and 71\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2447864980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 24. Let a = 8 - o. Calculate the smallest common multiple of (-1 - a) + (2 - -5) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*p - 307*p + 603*p = -315 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighteen fifths of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232505 - -55?\nAnswer: -232410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.024 bigger than -518649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w + 3. Let b be 1 - 3 - -1 - 2. Let f be (8\/12)\/(b\/(-54)). Suppose -2*i - 3*a = a + f, -2*i = -2*a - 12. Determine g(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 210, 229, 252, 279?\n\"Answer: 2*f**2 + 13*f + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:28 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**4 + 34*z**4 - 8*z**4 - z - 3*z**4 + z + (0*z**4 + 3*z**4 - z**4)*(3 - 1 + 0) as a*z + l*z**3 + f*z**2 + n*z**4 + x and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 19 = -3. Let z = 25 - l. Does 10 divide (-5)\/((4 - z)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 8*w + 2*w. Let a(r) = -2*r + 26*r + 16*r - 8*r + 0*r. What is n(a(c))?\nAnswer: 288*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9471634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 3543*f**2 + 341529*f - 345075.\nAnswer: 3*(f - 1)*(f + 107)*(f + 1075)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 4:29 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/7 - 2\/14. Suppose j*a = 2*v - 18, 0*v + 2*a = -5*v + 66. Calculate the remainder when 34 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.6. Let y = l + 0. Let h = y - -0.3. Which is the smallest value? (a) 4 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 820 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 3887744*c - 73867497.\nAnswer: (c - 19)*(c + 3887763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17526546.\nAnswer: 2, 3, 109, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644226 is divided by 283.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*o - 3*p + 6, 2*o - 5*p - 20 = 0. Suppose -o*l + 3*z = 169 - 32, 0 = -3*l + 5*z - 95. Put 1, 5, l in ascending order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10670 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41258964 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -9309*u + 9314*u + 40, 4*u - 32 = 20*z for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*y + 122, 5*d + 5*y = 3*d + 274. Suppose 0 = -7*s + 1070 - d. Is 12 a factor of (-12)\/3 + 8 + s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:12 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29\/(-12)*(-798)\/4. Let p = q + -475. What is the common denominator of 4\/18 + 1720\/144 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 2*t**6\/15 - 82*t**5\/5 + 660*t**4 - 3600*t**3 - 432000*t**2 + 1844*t. Let j(i) = 0. Calculate i.\nAnswer: -8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 6, r: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/2)\/(-1 + 343\/336). Let r = -55 + i. Let h(s) = -13 + 21 - 15 + 4*s**3. Let f(d) = -3*d**3 + 6. Determine r*f(c) - 6*h(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, -72, -107?\n\"Answer: -35*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03135138 * -0.5.\nAnswer: 0.01567569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-69)*(-806)\/10881?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/1317 + -11645\/68484. Let v = 1\/13 - j. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/2)\/((-8)\/(-16)). Suppose h = -5*i + i + 10, -2*i = -4. Suppose -h*y - 2*y = -16. What is the nearest to -1 in s, y, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 62072*f - 65. Is a(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5. Let x = 3 - n. Let k(s) = s**3 - s**2 + s - 1. Let g(a) = -6*a**3 + 4*a**2 - 4*a + 4. What is x*k(z) + g(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 10)\/(-1 + -3 + 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1476548 = -129*s + 1292179. What is the greatest common factor of 127 and s?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3972 and 1965147?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 + 207*q**2 + 194*q - 1629. Calculate x(-68).\nAnswer: -949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -50\/171?\nAnswer: -50\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713823 = -2975*l - 1424*l + 1295*l - 4255*l for l.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (4 + -3 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 10:34 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -116 and -3922.\nAnswer: -4038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226906 divided by 2.\nAnswer: 113453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 4. Let d be r(0). Suppose s + d*n + 10 = -2*s, -30 = 2*s - 2*n. Let j = s - -19. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517222991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27, -75, -147, -243, -363, -507, -675?\n\"Answer: -12*h**2 - 12*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Let i = 3 - m. Suppose -2*y = 3*v - 42, y = i*v + 1 + 2. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00099654 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:51 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/7 and (-6)\/(-21) + 204\/70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2690, 2137, 1584, 1031?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1566195 is divided by 1640.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2)*(-6 - (-16 + 11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 49*d. Let l be k(3). Suppose 4*y - 105 = l. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16168 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*g + 229*g - 785 = -573. Factor 14\/3*p - 2\/9*p**g - 2\/9*p**3 + 10.\nAnswer: -2*(p - 5)*(p + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 16926.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.049 + -0.0503. What is o rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3. Which is smaller: -2\/17 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -132 (b) -0.2 (c) -4 (d) 1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2.1 (c) -99\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -867, 7\/4, 21\/8?\nAnswer: -867","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 203*y + 544*y + 16660 + 5003 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/131240 and -31\/187.\nAnswer: 1443640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 10*v**2 - 7*v - 4. Let u be z(11). Suppose -5*w - u = -5*b, 4*b = 4*w - 3*w + 14. Let n be (-9)\/w*(-20)\/(-15). Solve -5*h + n*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 267501 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1323441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4785\/(-1140) + 4)*40\/(-25)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1310611 (base 7) to base 10\nAnswer: 170773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12345*q**2 + 1070?\nAnswer: 24690*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -895.595253+-0.1\nAnswer: -895.695253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*0 + 30. Calculate the greatest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*n)*(-2 + 4 - 1) + n + 2 - 2 + n + 10*n - 4*n to c*n + m and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/6 + 14509*g\/6 + 33887.\nAnswer: -(g - 14523)*(g + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.846 and 35717428860.\nAnswer: 35717428860.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4019769335?\nAnswer: 5, 8863, 90709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1007 less than -2.366?\nAnswer: 2.7347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -478 and -477 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/9, -1, -240\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 8*n - 19. Let u be y(-5). Let z = 113\/165 - 1\/55. What is the second smallest value in z, 19, 5, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3002*x**2 - 2955*x**2 + 1 - 2*x**4 - x + 9*x**3 + 5977*x**2 as p*x**2 + a + l*x**3 + y*x**4 + j*x and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 234 + -230. Which is smaller: x or 21\/8?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 248*i**4 + i**3*r**3 - 2*i**2*r + 413*r**3 wrt i?\nAnswer: 992*i**3 + 3*i**2*r**3 - 4*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y - 40. Let s(l) = -4*l + 21. Let i(r) = -3*a(r) - 5*s(r). Let j be i(13). Solve 0 = -4*b + j*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v - 2. Let c(g) = -g - 3 + 2 - 2*g + 0. Calculate 2*a(s) - 5*c(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 41. Let f(w) = -w - 20. Let b = 11134 - 11121. Determine b*f(v) - 6*l(v).\nAnswer: -v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.5. Suppose 13*h = 15*h - 24. Suppose 0 = 5*f + 2 - h. Put f, u, -4 in decreasing order.\nAnswer: f, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 24*r - 27. Let m(p) = 8*p - 9. Let k(a) = -2*d(a) + 7*m(a). What are the prime factors of k(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - 113.29. Let j = 0.71 - s. Which is the nearest to 2\/15? (a) -3 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4776.812 milligrams?\nAnswer: 4.776812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239632507.\nAnswer: 43, 173, 32213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 - 58. Suppose 3*a = u - 3. Let r = -23 + 44. What is the remainder when r is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 347 + -224. Suppose -i*r + 116*r = 35. Let a(x) = 3*x - 7. Determine a(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/s)**(9\/8)*s*s**(1\/22)*s*(s\/((s\/s**9*s)\/s))\/s*s assuming s is positive.\nAnswer: s**(72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 705 = -699 + 1340 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 6 + 25 + 7*v. Let l be b(-13). Is ((-1)\/2)\/(l\/800) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**3 - 14*j**2 - 271*j + 8. Let p(v) = 4*v**3 - 16*v**2 - 271*v + 9. What is 6*p(i) - 7*x(i)?\nAnswer: -4*i**3 + 2*i**2 + 271*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from mqqqqqqqqqqrqqqqqq?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = -56 - 88. Suppose 5*g - 11*b + u*b = 25499, -3*g = 5*b - 15279. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -671 - -7406\/11. Suppose 0 = -z + 5*n + 127, -2 = n - 2*n. Find the common denominator of o and z\/(-6) - (-1 + 3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2003914045 to the nearest integer?\nAnswer: 44765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-30)*(-3 + -2). Solve -4*q = 2*r - 6, 0 = x*r - 2*q + 3*q - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(i\/(i**9\/i)))))\/((i**(1\/2)*i)\/i*i))**(-2\/63) assuming i is positive.\nAnswer: i**(-13\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11913, 41606, 89083, 154344?\nAnswer: 237389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-100)\/(-5) + (-2 - -2) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 498, 577, 642, 687, 706, 693, 642, 547?\n\"Answer: -l**3 - l**2 + 89*l + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6134, 6083, 6032, 5981, 5930?\nAnswer: 5879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 368239215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + -3)\/((-2)\/4) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 178*k**3 - 2*k**2. Let c be p(1). What is the highest common divisor of 22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/20 - 2*s**4 + 89*s**3 + s**2 - 236*s. What is the second derivative of d(g) wrt g?\nAnswer: 6*g - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250387831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -61887 and -61878 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 - 1 = 0. Suppose -25 - 23 = -f*m. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.755044813 to three decimal places.\nAnswer: -1.755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5682 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -902199641 divided by -128885663?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 8*m**2 - 6*m + 15. Let h(u) = -352*u - 5284. Let t be h(-15). Calculate d(t).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = 4*v + 6, 0 = v - 5*h - 11. Let f be (10\/4 - 5)*(-6)\/10. Is v smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 60 + 408 = 0. Let r be 147\/k + (2 - 4). Is -1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13287*j*s**6 - 244*j*s**4 + 16*j + 721924*s**2 wrt s?\nAnswer: 1594440*j*s**3 - 5856*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and ((-13)\/39)\/(-2 - 107\/(-54))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*d**4 + 44*d**3 + 96*d**2 - 80*d.\nAnswer: -4*d*(d - 5)*(d + 2)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132421\/9 - 14714. Which is the closest to i? (a) -0.4 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*12*(-16)\/384*(-30)\/(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b*h**2 + 15*b*h + b + 220*h**2 - 176*h wrt h.\nAnswer: 16*b + 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/247404 and 56\/62805.\nAnswer: 97724580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(117) + sqrt(117) + 5) + sqrt(117))**2 + sqrt(117) + 2*(sqrt(117) + -1)**2 + 2*((1 + sqrt(117)*2 + sqrt(117))*3)**2.\nAnswer: 615*sqrt(13) + 22233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Suppose u = 4*m - 3*b - 5, m - 5*b + 15 = -m. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -10, -32, -84, -178, -326, -540?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -327 - -289.7. Let h = q + 30. Round h to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -107, -127, -153, -185?\n\"Answer: -3*j**2 - 11*j - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f = 40*f - 248 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270566755 to the power of 1\/3, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 21*l - 6. Suppose -b - 24 = -5*h + 11, -4*b + 52 = 4*h. Is d(h) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 18*k**2 - 4*k - 14. What is the remainder when j(17) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -10, -3, 0, -1 in decreasing order.\nAnswer: 0, -1, -3, -10, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 182 + 3?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 120*f**2 - 3454*f - 1676. Give v(-73).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 23 = -7*b. Suppose 0 = -p + 1 + 2, 3*z + 3 = b*p. What is the remainder when 72 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrururrruu.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/43, 0.1, 5, -1.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/62 and 7\/4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -43, 0.5 in ascending order.\nAnswer: -43, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-236)\/(-16) - (-2)\/8. Let b be 5*(39\/u - 2). Suppose -2*o - b*o + 5 = 3*z, 40 = 3*z - 2*o. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -20?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*i**2 - 2069*i + 851116?\nAnswer: -14*i - 2069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100332 + 23176784\/231. Find the common denominator of 31\/21 and b.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 162784133, 162784136, 162784139, 162784142, 162784145?\n\"Answer: 3*k + 162784130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/((-30)\/(-25)) - -7. Let k(u) = -4*u**2 + u - u**g + 6*u**2. Let i(f) = -1. Let d(h) = -2. Let o(z) = 2*d(z) - 5*i(z). Give -2*k(n) - o(n).\nAnswer: -2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6731 and 2794?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964365091 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 984*l - 3971. Give d(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + c = -10, 5*c - 20 = -4*p + 8*c. Suppose -4*g = -3*d - 64, -2*d = -p*g - 0*d + 32. Solve -g = -3*t - 0*i - 2*i, 8 = 4*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrszszssszssssrs. Give prob of picking 1 z and 1 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((-19)\/((-665)\/30)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18450 is divided by (-1 + 29)\/((15 - -1) + (-56)\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3551 - -10099. Is 2\/(-2 + 13104\/v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - j - 20, 111326*j - 111321*j + 66 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39116, 156429, 351950, 625679?\n\"Answer: 39104*k**2 + k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let f = -70 - -71. Solve f = -g + n*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 108*v - 3016. Let b be o(38). Calculate the highest common divisor of b and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 3. Let u be y(0). Suppose 2*v = 4, -3*v + 22 = g + u*g. Solve -m - 5*t = 10, 3*t = -2*m - 2 - g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13789.07 centuries in millennia?\nAnswer: 1378.907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1986*f - 23404 = 14330 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 19, 20, 15, 4, -13, -36?\n\"Answer: -3*x**2 + 16*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4 - 115*r**3 - 24654*r**2 - 1571*r - 2492 wrt r?\nAnswer: 12*r**2 - 690*r - 49308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(684)*2)**2.\nAnswer: 48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 1. Let o(k) = k**2 - 3*k - 7. Let g be o(i). Suppose 3*n + 3*c = g, -6*c - 23 = -5*n - 3*c. Do n and 7 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 10*w**2 - 9*w + 2. Let z be i(9). Find the second derivative of 29*t**2 - 29*t**z + 5*t**3 - t wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/22 and 19\/88 - 4\/16*0?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a factor of 26473388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 65.8.\nAnswer: 65.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Let x be (-49)\/(-7) + 13 + -19. Is x equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*y**6 + 86*y**6 - 28*y**2 + 181*y**2 - 31*y**6 wrt y.\nAnswer: 20520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwhh when four letters picked without replacement from {k: 3, w: 2, h: 4, z: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k + 2*k**3)*(-3*k**2 - k**2 + 3*k**2) + 2*k**5 + 0*k**5 - 4*k**5 - 4*k**5 + 2*k**5 + k**5 + 0*k**4 - k**5 + 0*k**4.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 9. Let i be y(9). Suppose i = -5*n - 4*w + 190, n + 2*w = -3*n + 146. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-201)\/670)\/((-2)\/((-28)\/7))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 10*f + 306. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*w**3 + b**3*w - 7*b*w**3 + 8*b*w**2 wrt w.\nAnswer: 6*b**3 - 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0. Let v = -0.5 + 0.4. Which is the closest to v? (a) m (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 12:50 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a + 1. Let y = -531 + 548. Suppose 5*x = -2*w - y, -3*x + 14 = w - 8*x. Let o(l) = 3*l + 1 - l - 7*l**3 + 1. What is w*o(b) + 2*j(b)?\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 728456 divided by 296?\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evvu when four letters picked without replacement from {i: 4, e: 1, v: 6, u: 2, n: 2, j: 2}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-294)\/(-1272) + (-1)\/4. Let w = 101\/265 - v. Which is smaller: 9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 50446*b - 50451*b + 10, 3*b + 3 = -3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 4*d - 4. Let h(x) = -12*x**2 + 15*x - 15. Let q(t) = -4*h(t) + 15*v(t). Let a(y) = 7*y. Give a(q(g)).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - -6. Let y(u) = 3*u**2 - u + 1. What is the remainder when w is divided by y(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 z when four letters picked without replacement from {z: 6, j: 7}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 59?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242869051 + 0.0926834.\nAnswer: -242869050.9073166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/15*135\/(-234).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 0.4, 0.29323 in decreasing order.\nAnswer: 0.4, 0.29323, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 z when three letters picked without replacement from {q: 3, y: 2, l: 3, z: 5}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 142 = 4*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 43 + -7 - (-3 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.0065 (c) 5 (d) -7 (e) 41\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 71180591695.458\nAnswer: -71180591687.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -33248.891962.\nAnswer: -33249.291962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:12 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1678, -6469, -14444, -25597, -39922?\n\"Answer: q**3 - 1598*q**2 - 4*q - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from {u: 3, m: 5, j: 1, b: 1, w: 3}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-984))\/((-6)\/(-4)*(-12)\/48*-2).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-48)\/4*(-1)\/8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 14 (b) -0.1 (c) -14.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -63, 4, 5, 2 in ascending order.\nAnswer: -63, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -26*w**3 - 8*w**2 + 3*w - 8. Suppose -140*n - 364 = -144*n. Let v = 99 - n. Let a(t) = -17*t**3 - 5*t**2 + 2*t - 5. Calculate v*a(u) - 5*r(u).\nAnswer: -6*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 12. Let o = -2287\/114 + 121\/6. What is the third smallest value in o, -5, -1, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 8. Let u = 48 + -48. Give n(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.3, 2\/5, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 10*l + 20. Let p be f(-8). Solve j = -v - 5, -15 = p*v - 0*v - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/((-21)\/(-6)) + 2 - -2. Suppose h*m + 1921 = 14695. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b66b4 (base 13) to base 15\nAnswer: 6750e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148.6 + 119. Let b = m + 50. Round b to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7003 + -1057449\/151. Let r = -20711\/906 + o. Which is smaller: -24 or r?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -738214184 or 0?\nAnswer: -738214184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1141 - 680. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 8*l**2 - 60*l + 110. What is k(12)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23\/4 - 3\/8*i**2 - 137\/8*i = 0 for i.\nAnswer: -46, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2807*b**2 - 1074*b**2 - 1398*b**2.\nAnswer: -5279*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -2439.5?\nAnswer: -731.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*r + 33*r - 68. Suppose -13*k - 16 = -r. Suppose -4*u = h - 64, 5*h + u = -k*u + 380. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -18*t. Let i(x) = -4*x. Calculate i(d(j)).\nAnswer: 72*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 707 + 192. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21000031110 (base 4) in base 7?\nAnswer: 26026620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 - 73336*g + g**3 + 73212*g to u*g + r*g**2 + x*g**3 + p and give u.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**3 - 3*r**3 - 4*r**3)*(-2 + 4*r + 2) + (-3*r - 5 + 5)*(r**3 + 3*r**3 - 5*r**3) - 10*r**2 + 10*r**2 - 10*r**4.\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64378 - 0.2.\nAnswer: -64378.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43\/4 + -21\/2. Let s(p) be the second derivative of 0*p**5 + 4*p + 0 - x*p**4 + 0*p**2 + 1\/5*p**6 + 0*p**3. Find the third derivative of s(c) wrt c.\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3950770 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(-30)\/54 - 6\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 1:31 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -32. What is the least common multiple of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -5*v - 35, -10*u + 12*u + 4*v = -2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*w + 100 = -35*w - 32*w. Is 862 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -49783*k**3 + 15*k + 15. Is o(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 48*i**2 - 117*i.\nAnswer: -3*i*(i + 3)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -650182299*q**3 + 115479*q**2 + 289*q?\nAnswer: -3901093794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i - 7*i + 599 + 39*i + 394 + 260.\nAnswer: -i + 1253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35502.53 millimeters in kilometers?\nAnswer: 0.03550253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*u + 58 = 2, 5*l + 35 = u + 43 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:16 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 10:47 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 229 + 148 = 0. What is y rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**3 - 9*v**2 - 11*v + 5. Let t be x(7). Let o = -587 + t. What is the greatest common factor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129149, -129158, -129155, -129134, -129089, -129014, -128903?\nAnswer: -128750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 2 - 4)*(-x + x + 2*x**3)*(-7 + 7 + 8).\nAnswer: 256*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 25. Let d be k(-5). Solve -3*g + g + 8 = d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5285700*n - 6482815.\nAnswer: 5285700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356445 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tctc when four letters picked without replacement from ctcccccccctccccccccc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-17 - -5 - (-3 + 9 + -7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2261*a = -2164*a + 1552 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:24 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1616*y**3 - 6*y**2 + 9*y. Let s(g) = 8078*g**3 - 28*g**2 + 42*g. Give 3*s(o) - 14*u(o).\nAnswer: 1610*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12488 = -95*x + 1656*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-8))\/(2\/(-40)). Suppose -4*j + v - 541 = 214, -y = v. Round j to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h - 4*d + 24, 5 = d. Let l be ((-3)\/(-6))\/(1\/2). Let r = l + 2. Solve -r = -3*p - h*u, -u - 3 = -5*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + o + 1430 = 1455, -5*o = 2*v - 179 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12897 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*s = 16 + 3, 14 = -4*r - 2*s. Suppose -k - 15 + 2 = 0. Let j = r - k. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3108 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: Suppose g**3\/4 + 2517*g**2\/4 - 5041*g\/4 - 7557\/4 = 0. What is g?\nAnswer: -2519, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1852*m**2 - 35*m**3 - 1858*m**2 + 3710*m**2 - 111*m**3.\nAnswer: -146*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 263 - 1585\/6. Which is smaller: m or -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/132 + 1 + (-32)\/5984?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 - (1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025421342 to the power of 1\/3, to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383653?\nAnswer: 37, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(860\/(-420) + 12\/7). Let i(l) be the first derivative of -35\/2*l**2 - c*l**3 - 30*l - 25. Factor i(a).\nAnswer: -5*(a + 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7180 divided by -3590?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j + 142. What is the tens digit of w(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45211 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 19*s**2 - 20*s + 49. Suppose 12 = -3*p, 8 = w + 4*p - p. Let m be j(w). Calculate the greatest common factor of 196 and m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*(-352)\/66. Let t = 44\/5 + k. What is the smallest value in 2, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*h = 3, h + 6 = 3*c - 2*h. Let a be (-18)\/(1\/c + -1). Suppose 3*p = -5*t + 212, -124 = -3*t + 4*p - a*p. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -578 + 1071. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/(-2550))\/(2\/295) + 8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 2400?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 4, r: 5, g: 4, y: 2, w: 2}. What is prob of sequence rr?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4437 and 37?\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4773743 to the power of 1\/2, to the nearest integer?\nAnswer: 2185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14593, -14849, -15545, -16903, -19145, -22493, -27169, -33395?\nAnswer: -41393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 3b6?\nAnswer: -3b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/c*c*c*c*c\/(c\/c**6))**43 assuming c is positive.\nAnswer: c**215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4457 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1\/43009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2. Let h(g) = 54*g - 7. Give h(y(b)).\nAnswer: 162*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.8, 2.3, -1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**5 + 84*a**4 - 268*a**3 - 84*a**2 + 272*a = 0.\nAnswer: -1, 0, 1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-20)\/75)\/(-2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - 248. Let n be z(0). Let v be (-1)\/((-246)\/n + -1). What is the highest common factor of v and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1634\/803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/2 of a century?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*f - 20213354, 5*r - 101066736 = -7*f + 5*f. Suppose 0*y - 2*y + 92826696 = 0. Let n = r - y. What is n rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4 - (4 + 0 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 49 - (74 - (22 + 38))) + -10\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1300)*-2*4.\nAnswer: -80*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r*s**3*t*z + 54946*r*s**3*z + 37*r*s**2 + 102*r*t*z - 2*r*z + 3*s*t*z wrt s?\nAnswer: 12*r*t*z + 329676*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let h(u) = -30*u**2 + u - u + 43*u**2. Calculate i(h(g)).\nAnswer: -338*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -52*m - 119 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4503 and 2356?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*((-14)\/35)\/2. Let x(z) = 3*z - 6. Let v be x(4). Which is the smallest value? (a) 2 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/96*-4 + (-323266)\/374208. Let d = 42\/1949 - x. What is the common denominator of -27\/20 and d?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*p + 611*p + 1104*p - 275740 - 27748 = 0 for p.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 - -1.4. What is the nearest to p in 5, 0, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17*m - 5. Let h be d(-17). Suppose h = 5*y - 181. Let l = 342 - y. List the prime factors of l.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + sqrt(1584) + 2 + -3)*5)**2.\nAnswer: 720*sqrt(11) + 39636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125\/1034 - -42\/47. Let h = -58 + 62. Calculate the common denominator of y and 31 - 4 - (-2)\/h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 15. Let h be y(-15). Suppose 3*q - 1787 = 2*u, 2*u = h*q - 14*q - 597. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j**2 + 13 + 7*j**2 + 3*j**3 + 6*j**2 to the form l + r*j**2 + p*j**3 + x*j and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -1795.09653819.\nAnswer: -1796.09653819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 - 108. Let c(o) = -33*o - 6 + v*o**2 + 23*o + 12*o. List the prime factors of c(2).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1575 and 89\/36?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 8*p - 3. Suppose 0 = 5*a + 11 - 51. Let c be w(a). Suppose 2486*z = 2481*z, 3*g + 3*z = -21. Put c, 1, g in decreasing order.\nAnswer: 1, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 0)*(261 + -11). Suppose 5*m = -5*m + p. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 26\/(-22) - 725\/(-55). Suppose -16*f + g*f = -9. Let j = -25 - -24.83. What is the second biggest value in j, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 373 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.8 (b) 0.5 (c) -1\/4 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 1, 3*f - 4*s - 2500 = 0. Suppose 7*h - f - 204 = 0. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*t**2 + 53*t**2 + 62*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 3:27 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 8:33 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -35787913*7\nAnswer: -250515391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*(-3)\/(-12))\/(6\/((-288)\/40)). Which is the third smallest value? (a) 11\/5 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -8*s + 4. Let z be (s\/(-2))\/(2\/(-12)). Solve p + z*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 7*l - 14. Suppose 3*o + 8 + 23 = -4*c, 2*o + 30 = -5*c. Let z be p(c). Let k(t) = -t**2 + 1. Let f be k(-1). Put 1, z, f in decreasing order.\nAnswer: 1, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -10 - 3007\/279. Let s(c) be the second derivative of -i*c**3 - 6*c + 1\/3*c**2 + 1\/18*c**4 + 0. Suppose s(a) = 0. Calculate a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1.0752.\nAnswer: 8.0752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - 0)*(4 + -67 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/12 + (-168129322)\/676440. Let k = u + 4\/16911. Let m = -248 - k. Put m, 4, 3 in descending order.\nAnswer: 4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*p + 30. Is 2\/(-5) - (p + 42024\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**3 + 32*q**2 - 7*q - 15. Let j be t(5). Which is the closest to -4? (a) 4 (b) j (c) 0.2 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*b + k, -100*b - 36 = -106*b + 4*k - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + 6?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 176 - -21534326?\nAnswer: 21534524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316 = -11*o + 149 + 13 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2637 by -13.\nAnswer: -2637\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6680 - 4509. Let g = -1114 + y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v**2 + 11*v**2 + 11*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2695 - 2699. Let h(j) = j**3 - 6*j**2 + 2*j - 3. Let a be h(4). Is y at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**7\/84 - 3*u**5\/40 + u**4\/12 - 5*u + 4. Let p(t) be the first derivative of k(t). Factor p(h).\nAnswer: h**2*(h - 1)**2*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 76 - 89 = 5*a, -3*t - 67 = -5*a. Let d = t - -56. Let i = d - 17. Solve -4*q + 10 + i = -4*g, 0 = -3*g - 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -4*y + 54. Sort y, 5, 0.2 in ascending order.\nAnswer: y, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571.9 take away 373?\nAnswer: -944.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108 + 821*s**3 + 0*s**4 - 808*s**3 - 3*s**4 wrt s.\nAnswer: -12*s**3 + 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27714 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -5*j, 5 = -2*j - 4*x + 21. Let m be (-5)\/(-1)*(-4)\/5. Let k = m - j. Which is the second smallest value? (a) -0.4 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/24)\/(3\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l + 528. Let k = -95 - -47. Let m be (k\/(-10))\/(12\/40). What is the greatest common divisor of l and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544505 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 86.51551 weeks?\nAnswer: 52324580448000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l**4\/7 - 1215*l**3\/7 - 315*l**2 + 4335*l\/7 - 927\/7 = 0.\nAnswer: -3, 1\/4, 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illua. What is prob of picking 1 i, 1 u, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119240.\nAnswer: 2, 5, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 6*a + 1. Let o be s(-4). Suppose -15 = -5*v + 3*z, 4*z - o = -3*v + 2*z. Let g(f) = f**2 - 3*f - 2. Calculate g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p. Calculate y(10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18139*y - 53200 = 18134*y. Round y to the nearest one hundred.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -19, -3, 15, 35, 57, 81?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvwvvjvvvjkxvx. Give prob of sequence wx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 26*n + 28*n = -22*n + 365 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.71 + 7.2005. What is o rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.2. Let i = -0.7 + l. Put 1, -1\/3, i in decreasing order.\nAnswer: 1, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 11*v + 20. Let p be i(-7). Let f = p - -11. Suppose 2*l - 209 = -f*l - 3*t, -3*t = -2*l + 71. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 839.2543 hours to milliseconds.\nAnswer: 3021315480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555580480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12663 (base 7) in base 14?\nAnswer: -136a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/10)\/(18\/10). Let s = -0.1 + 0.1. Let y = s - -0.3. Which is the third biggest value? (a) -0.5 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-29)\/((-145)\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(60) + sqrt(60)*-1))\/((sqrt(24)*-3)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 215*((-488)\/(-40) + (-5)\/(100\/240))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140263 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/15 + 63\/5. Suppose i + 26 = 3*y. Suppose -x + 2 = -y. Solve -5*w + r = -19, -r + 0*r = -4*w + x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3212102020010 - -11?\nAnswer: 3212102020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -1 - 13. Let v(m) = 5*m**q - 6*m**2 - 2*m**2 + 2*m**2. Let k(w) = w**2 - 6. Calculate v(k(s)).\nAnswer: -s**4 + 12*s**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + -2 + (-7 - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1697, -5, 2, 5, 18 in decreasing order.\nAnswer: 1697, 18, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.65 + -7.89. What is k rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 12) to base 16\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o + 73 - 8 - 1. Let q be t(6). Find the first derivative of -46*h**3 - 22*h - 36 - 5 + q*h wrt h.\nAnswer: -138*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + -51*(-1)\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d + 687 = -14*d - 1761. Solve d*s = 6 - 414 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*14\/(-4)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539890926 to the nearest integer?\nAnswer: 23236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 7. Let h be s(-4). Suppose -n = -h*m - 13, 5*n + m = n. Suppose 3*x + n - 4 = 0. Sort 0, -4, x in descending order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 59\/13 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 158, 379, 698, 1121, 1654?\nAnswer: 2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 + 88. Let i be 1\/r - (1 + (-45)\/5). Suppose -8*x = -i - 63. Solve -9 = x*s - 12*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3\/4 - 30*o**2 - 1323*o\/4 = 0. What is o?\nAnswer: -9, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 112. Suppose 0 = -5*h + b*h + r + 8, 3*r + 12 = 3*h. Suppose h*n - 238 = -2*c, -4*c + 488 = 3*n + 2*n. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-20))\/((-22)\/(-55))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430001?\nAnswer: 11, 13, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/8 - (-57)\/2. Let j = 31 - f. Put -1, -11, j in decreasing order.\nAnswer: j, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 21*p + 72. Let j be x(23). What is the second derivative of -75*z + 18*z - 35*z**2 + j*z wrt z?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**4 - o**3 - o - 1. Let r(q) = -3*q**4 + 10*q**3 + 88*q**2 + 11*q + 11. Let c(m) = 22*i(m) + 2*r(m). Find the third derivative of c(f) wrt f.\nAnswer: -672*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 223021694549 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 -1810, -2710, -3610, -4510?\n\"Answer: -900*k - 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 1107a?\nAnswer: 11078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -253*q**3 + 234*q**2 - 2*q + 209270 wrt q?\nAnswer: -759*q**2 + 468*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.92 + -2.82. Which is the closest to n? (a) -1.3 (b) -4\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 + -3*(-291)\/(-36). Let i be 106\/(-4) - 2\/(o\/(-18)). Let w be (-8)\/i + 110\/7. Solve -7*r = 4*v - 3*r + w, 3*v + r + 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 4 + -9 + -3. Let l be x - 1 - -3 - -2804564. Suppose 22404561 - l = 2*u. What is u rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(4\/(-22) - 0). Suppose -d - 3 = -3*r, 2*d + 0*r + 5 = 5*r. Which is the nearest to d? (a) u (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 92 = 5*h, -7*h = -3*h - s + 77. Let k(n) = -n**3 + 6*n**2 + 7*n - 8. Let c be k(7). Let u = c - h. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.27, -10.8, -17?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**6\/540 - a**5\/30 + 23*a**4\/108 - 5*a**3\/9 + a**2 - 87. Find q, given that c(q) = 0.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -45, -76, -131, -216, -337?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbrb when four letters picked without replacement from {r: 6, q: 9, b: 2}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z + 6. Let m(c) = 14*c + 17. Let d be 2\/(-8) - 265\/(-4). Suppose 3*k = -5*o - 22 - d, -4*o = -k + 67. What is o*n(b) + 6*m(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 9:51 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) -45143 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 64*g**3\/3 + 134. Let n(v) = 4*v - 2*v - v. What is u(n(i))?\nAnswer: 64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d + 8. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z\/z**(-1\/8))\/z*z)\/z))**(-6)\/(((z\/z**(3\/4)*z)\/z)\/z**(-2\/15)) assuming z is positive.\nAnswer: z**(-169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -6579, 3 in increasing order.\nAnswer: -6579, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 339144*f + 33226508.\nAnswer: (f + 98)*(f + 339046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 153? (a) -11 (b) 0.3 (c) -0.2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -330, -598, -852, -1092, -1318, -1530?\nAnswer: -1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3) - (-22)\/(-1320)*-92.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 18 = -5*a. What is the smallest common multiple of 11 and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 - 263 = -23*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -707*d + 701*d + 1008. Suppose -7*j = -d + 63. Suppose 0 = 4*y + 5*t - 40, 5*y + 3*t - 42 = 21. Calculate the highest common divisor of y and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 1\/6*k**4 + 0*k**2 + 0 + 3*k + 0*k**3. Let d(j) = -536 + 7*j**2 - j**2 + 539. Determine b(d(h)).\nAnswer: 72*h**4 + 72*h**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13489 - -13503. Solve 0 = m*s + 10 - 52 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 92 = -9*j. Suppose -10 = -2*w + w. Solve i + d + 2 = 0, -j*i = 2*d + 3*d + w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.03, 0.4 in ascending order.\nAnswer: -1\/8, -0.03, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:44 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/7)*q**(-2\/19))**29)**(-46) assuming q is positive.\nAnswer: q**(94714\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*c - 56352 = 171*c - 6267. What is the greatest common divisor of c and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46\/9 in 8.1, -0.02, -2?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/2 + -4)*4. Suppose 5*o - 334 = -b, 3*b = 2*o + f*b - 128. Let z = o - 45. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 366 (b) -43 (c) -1 (d) 2\/47 (e) 5 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*v - 9*v = 51*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3 + 165*g**2\/2 + 1128*g - 4436. Factor r(h).\nAnswer: 3*(h + 8)*(h + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, o: 3, b: 7, w: 1, p: 1}. Give prob of picking 2 o and 1 w.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24640 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -5*d + 81. Calculate the highest common divisor of d and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*h**2 + 7*h**2 + 47*h**2 + 55*h**2 + 156*h**2 to x + i*h + s*h**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 37 = 3*v, -2*t = -4*t - 3*v + 41. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-68382)\/1450 + 47)*(-10)\/(-4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816*v - 8826*v - 13689*v.\nAnswer: -21699*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2756 and 4.\nAnswer: 1.1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1965061 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 444 + 11?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 8*t)*(5*t + 0*t - 2*t)*(4 + 1 + 0)*(-2 + 2 - 2).\nAnswer: -210*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*y + 3499 = 6550 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -2*sqrt(128) + -3 - (2 + sqrt(128) + 2))**2*3.\nAnswer: 672*sqrt(2) + 1683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 27 = 4*w - 19, -67 = -4*w - 5*p. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h**2 + 10*h - 3 = 0. What is h?\nAnswer: -1, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Suppose -11 = -h*m + 9. Suppose -716 = m*g - 14*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2552 + 9580 - 4533)*(0 - 1 - 1 + 3 - 5 + 0 + (-1 - 3 + 2)*(2 + 2 - 5) - 4 + 3 - 1)*(-2*q + 3*q - 2*q) to x*q + a and give x.\nAnswer: 9980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3265.\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74367, 76714, 83077, 95466, 115891, 146362, 188889?\nAnswer: 245482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -141*s - 2696. Calculate p(-19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 - 19\/(-76). Suppose j = -4*o - 43 + 151. Suppose 3*c - 20 = -5*q, 3*c - 3 - 14 = -2*q. Solve -c*i = 2 - o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/60*2*3. Let r be (f - (-117040100)\/(-28)) + (-3)\/7. What is r rounded to the nearest 100000?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 34 = -5*n. Let d = 6 + n. Put -4, -5, d in descending order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -11. Let r = 26.864 + o. Round r to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 413?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1403123 - 1?\nAnswer: 1403122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/34 and -103\/2176.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18)*(-153)\/(-68)*(-104)\/(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4100 divided by -10.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 11, 0, -166, 1, -5\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 5038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21631588.\nAnswer: 2, 11, 491627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 u, and 1 d when three letters picked without replacement from {u: 3, a: 3, p: 1, d: 3, x: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 9) to base 16.\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a68 (base 11) in base 2?\nAnswer: 1100111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24344094919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 81*j**2 + 3*j - 76*j**2 + 0*j**3 + 5. Let q be f(5). Solve -2*b - q = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-81))\/((8\/(-14))\/(((-624)\/(-56))\/13)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - (-10 + (-4 - -9)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 5 (c) -303 (d) 0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -71*u - 3. Let l(m) = -35*m - 1. Let a(h) = -9*l(h) + 4*t(h). What is the tens digit of a(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -232*q**3. Let h be (2\/1)\/(6\/(-3)). Let y be l(h). Suppose -45*a + y = -41*a. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 174, 688, 1624, 3054, 5050, 7684, 11028, 15154?\n\"Answer: 12*f**3 + 139*f**2 + 13*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*((-13 - -1) + (-64416)\/(-5376)). Let b = -2 - -2. Put -0.29, l, b in descending order.\nAnswer: b, l, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*m**2 - 2 + 33*m**2 + 2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Suppose -6 = 4*t + 6, u*t = 5*v - 9. Suppose 5*y - 234 - 131 = v. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28082612 to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-7) + (-4)\/14. Let v = -1 + 1. Let j = 0.3 - v. Which is the nearest to -2\/3? (a) r (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2769\/379 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -37685 < -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -7*i**8\/16 - i**7\/2 + 13*i**6\/40 - i**5\/20 + 14*i**2. Factor l(q).\nAnswer: -3*q**2*(q + 1)*(7*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*z**3 + 87*a**2 + 2079*a*z**3 - a - 30 with respect to z.\nAnswer: 3*a**2*z**2 + 6237*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 17 - (4 + -9 + -4 + 5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/40 + (-17)\/(-4). Suppose -2*w + 132 = r*q, -w + 81 = -0*q - 3*q. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7*j**2 - 7)*(0*j**2 + j**2 + 0*j**2)*(-1 + j + 1).\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)\/h*h*h\/(h**(2\/25)\/h)*((h*h*h**3\/h)\/h)**14 assuming h is positive.\nAnswer: h**(798\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114021\/5 greater than 22803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6098753 + 6098770.799476. Let b = x - 17.8. Round b to 5 dps.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (12 + -12 + 3)) + 49.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -482738 times 0.1237\nAnswer: -59714.6906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -4\/9 (c) 0.08 (d) -76 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222677740 a multiple of 1948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9762 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4004463?\nAnswer: 3, 601, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -21*b + 25*b + 2*k, -4*k = 4. Put 0, 8, b in descending order.\nAnswer: 8, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 418614393 by 79873.\nAnswer: 5241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/5 (c) -3\/26 (d) -582\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6. Let o(i) = -7 - 8*i - 26*i + 48*i - 13*i. Give -6*b(z) + 5*o(z).\nAnswer: 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 524*t*u**3 + 4*t*u**2*v**2 - t*v**2 - 29671*u**3*v**2 + 2*u**3 - 5*u**2*v**2 - 8*u*v + 445*v - 5 wrt u?\nAnswer: 3144*t - 178026*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -526363684 divided by -34877.\nAnswer: 15092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*h - 34*h + 69088 = -374*h - 262*h for h.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -4*r**3 - 10 + 2*r**2 + 5*r**3 + 0*r + 8 - 4*r. Let q(y) = -16*y**2 - 21*y + 21. Let s be (6\/2)\/3*2. Give s*q(f) + 11*w(f).\nAnswer: f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70 and -271.\nAnswer: -18970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 28377 - 9713. What are the prime factors of x?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m - 15. Suppose -5*r + 56 = -3*r. What is the remainder when r is divided by i(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p = 8*p - 20 + 72 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdzfe. What is prob of sequence edfe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**4 + t**2 - 932 + 11*t + 44*t**4 + 926 - 11*t to o*t**4 + c*t**2 + z*t**3 + x + l*t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289226270?\nAnswer: 2, 3, 5, 42974209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6569553 divided by 6569553?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 8. Give v(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1856 divided by 3\nAnswer: 1856\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/3)\/(2\/6). What is the units digit of (-8)\/o - (-158)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444304280?\nAnswer: 2, 5, 7, 73, 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 4*v + 5. Suppose 0 = 4*z + 4*m + 28, 0 = -4*z + z + 2*m - 16. Let s be (-2)\/6 + (-50)\/z. Is y(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3508.8 litres in millilitres?\nAnswer: 3508800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*u + 2*u - 2*k, -3*u - 4*k = -5. Let l(q) = 4*q**2 - 2*q - 3. Let n be l(u). Find the third derivative of n - 27 - 14*w**4 - 5*w**2 wrt w.\nAnswer: -336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -695, -1469, -2531, -3875, -5495, -7385, -9539?\nAnswer: -11951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -863, -1983, -3553?\nAnswer: -5573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1975431 is divided by 658474.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 3*l**3\/2 + l. Let o be ((-4)\/70*-7)\/(2\/15). Suppose 0*g + 6 = 3*n + 3*g, o*n + g - 4 = 0. Calculate m(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7994 and 198311726?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26095 and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -803552503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 220\/(-7)*(26 - 33). Suppose 225*l - 3115 = k*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334795 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 3*q + 5536. Let x be q\/30*12\/(-8). Let f = 69 + x. Is 0 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/16 and 23\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 0.1. Let t = k - -1.1. What is the biggest value in 2\/7, -1\/5, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*i + 72*i + 78*i - 389 + 74*i.\nAnswer: 15*i - 389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -683*s + 12 - 67 + 227*s + 233*s + 233*s. Determine m(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 3*a**4 + 2*a**3\/3 - a**2\/2 - 4. Let m(n) = n**3 - 4*n**2 + n + 7. Let t be m(3). What is z(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15))**(1\/54)*l**(-12)*l*l*l*l\/(l*l**17)*l*l assuming l is positive.\nAnswer: l**(-9721\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 124.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975 is divided by 319.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 1878?\nAnswer: 93900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 61 = -20*p. Let j(m) be the first derivative of -9 - 1\/6*m**p + 0*m**2 + 0*m**3 + 0*m + 1\/15*m**5. Find q, given that j(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -129*s**2. Let c(h) = 13*h**2 - 12*h + 18. Let z(g) = -469*g**2 + 434*g - 651. Let m(u) = -217*c(u) - 6*z(u). What is m(l(k))?\nAnswer: -116487*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 10, -0.4, 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -539*k - 3. Suppose 4*n - 15 = -3*h, 2*n - n + 1 = 4*h. Let p be d(n). What is p rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 47. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, t: 12}. Give prob of picking 2 i and 2 t.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -6*v - 213, 4*v = 8*t + 3216 - 3344 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 118*g**2. Let d(l) = -97*l**2 + l - 1. Let f(w) = -3*d(w) - 2*p(w). Let r(t) = 110*t**2 - 5*t + 5. What is -5*f(h) + 3*r(h)?\nAnswer: 55*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-153)\/34 - -1)*-2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.05 - 128.95. Let a = 33363 - 33497.01. Let c = a - u. Round c to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2812825444 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 159 - 162 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38422 is divided by 37733?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*o**3 + 154*o**2 + 160*o - 24.\nAnswer: -2*(o - 6)*(o + 1)*(15*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 + 6 = 0. Suppose a*l = 4*l. Suppose l = r - 2*r + 7. Solve 24 = 4*x - 4*u, -r*x + 3*x - 5*u + 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73 - -29?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29261, 59189, 89117?\n\"Answer: 29928*y - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n + n + 3 + 0*n + 1 - n**2. Let a be f(9). Suppose -2*p = a*v - 18 - 8, -4*p - 5*v + 40 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/(-34)*(-144)\/(-162).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.98883 - 0.01117. Let l = 0.06 - 0.1. Let n = 4.96 - l. Put 0.2, n, i in increasing order.\nAnswer: i, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18104800 divided by 112.\nAnswer: -161650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/15)\/(2\/54). Let p be t\/(-3) + (-87)\/(-27). Which is the nearest to 0? (a) p (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w)\/w)**(6\/7) assuming w is positive.\nAnswer: w**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -218 (b) -4 (c) -1\/2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/4320 and -33\/14878.\nAnswer: 32136480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 6*z + 3. Let q be o(-4). Suppose -5*t = -q - 4. Calculate the remainder when 8 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -489.7?\nAnswer: 490.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:52 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/31)\/(2\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:56 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away -57096933?\nAnswer: 57096925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j = -47*j + 462 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t\/t**25*t)))*t)**18\/(t**(-1\/2)*t**(-3\/4)*t*t) assuming t is positive.\nAnswer: t**(1797\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -407726 or -407862?\nAnswer: -407726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.21 + 21.95. Let g = z - 39. Let s = -0.74 - g. Is s greater than 27\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -44. What is the first derivative of 165 - j*z**2 - 156 + z**2 wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 5*y + 6, -2*y + 37 = -5*g. Let d(t) = -2 + 3 - t - 7 + 11. Let z be d(g). Calculate the greatest common factor of 21 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 24 = -h, 4 = l + 4*h - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000 (base 2) to base 8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51738\/4446*(-54)\/90 - -7. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k - 67*k = -5 - 88 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/33)*((v**(-6\/17)\/v)\/v)\/v*v**(2\/35)*v*v\/(v*v\/((v\/v**(-1\/2)*v)\/v)) assuming v is positive.\nAnswer: v**(-68141\/39270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 1228442243800?\nAnswer: 1228442243804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 0.3.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116301.0177 nanoseconds to weeks.\nAnswer: 0.00000000019229665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405596584 to the nearest integer?\nAnswer: 20139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5713304 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(-7)\/((-21)\/(-12)). Let z = p - 21. Let d(j) = -j**3 - 4*j**2 - 4*j + 1. What is the smallest common multiple of z and d(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.580350132 and 0.24.\nAnswer: -2.340350132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2005186 + -180?\nAnswer: 2005006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4)**(-7\/3)*(s**(-3))**(8\/5))**(2\/47) assuming s is positive.\nAnswer: s**(-424\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-2)\/(-10))\/(3*(-84)\/270)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158055 is divided by 6069.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 62 = -232. Let w = -19 - r. Suppose 2*p + i - 33 = 0, -i - 5 = 4*p - w. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 6 + 10*t - 7*t + (1193*t - 870*t - 628*t)*(-1 + 2 - 3) as q + b*t and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n - 88. Give s(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from srrrrrrrrrrr?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-7)\/((-735)\/(-10))*-21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/27 - -11\/27. Let r be 20\/(-50)*(-5 - (-160)\/36). Suppose h = 3*h. Which is the nearest to h? (a) 6\/7 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001000010110 (base 2) to base 8.\nAnswer: 111026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 407.7344cm?\nAnswer: 0.004077344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -43, 4, -3, 212, -2 in descending order.\nAnswer: 212, 21, 4, -2, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4810.426 to the nearest 10.\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let g = 17 - 14.2. Let n = 0.2 + g. Which is bigger: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.34513831 rounded to three dps?\nAnswer: 2.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2048121666 to the power of 1\/3, to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-5)\/(20\/(-32)). Suppose 3*a = -x*l - a + 4, 0 = 3*a + 12. Suppose -r = 2*r - 2*w - 491, -5*w = -l*r + 820. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -612 - -617. Solve -2*c = -3*j + 3*c - 1, 4*c = -g*j - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.26 - 4.6654. What is o rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/12*(-4)\/(-3). Let r be (-7 - h - -24) + -7. Calculate the greatest common factor of r and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13214, -3, -11 in descending order.\nAnswer: -3, -11, -13214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/151151 or -1?\nAnswer: 3\/151151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 451 + 22. Suppose -3*n - 2*q - s = 0, -2*n + q - 5*q - 326 = 0. Let t = -99 - n. What is the remainder when t is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6 + 120*v**2 - 114*v**2 + 50*v**3 - 29*v**3. Let n(f) = -273*f**3 - 77*f**2 - 77. Calculate 6*n(w) + 77*x(w).\nAnswer: -21*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, u: 8}. Give prob of sequence uue.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (2 - (1 - (-1 - -8)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 322, 4, 1, 0, 9 in increasing order.\nAnswer: 0, 1, 4, 9, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.59 + -2.59. Which is the nearest to 1? (a) -14 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4785\/(-396) + -4*(-39)\/12.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40*(-1)\/(-18) + -2. Is d greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 1742168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2702.3 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8757500 is divided by 6501?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 48)*(-4*6\/(-15))\/2?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 36. Let p = -5 - g. Solve -p = 5*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2160016?\nAnswer: 2, 127, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.10260523 to three decimal places.\nAnswer: 1.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 + 115. Suppose 4*g + 63 = 2*y + 5*g, -2*y = -d*g - 38. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 - -103 - (-8 - (0 - 11)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204 - 173. Suppose g = -i + 35. Solve -2*x + 0*x = -g*h + 18, -5*h - x = -26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 609 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6136892687 to the power of 1\/3, to the nearest integer?\nAnswer: 1831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 393*i - 8968. Determine n(17).\nAnswer: -2287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 45 = -5*p, -5*p + 9 = 3*v - 36. Let d(j) = 5 + 3*j + 4 - p. Let w(b) = -3*b. What is w(d(t))?\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, f: 2, a: 2}. Give prob of sequence efa.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1650 divided by -6.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Let y be 15\/6*2\/n. Let a = -157314 + 157313.9. What is the biggest value in y, 5, 0.5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.08 + -9.1. Let j = x - 0.980073. What is j rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-4) - (-3)\/1. Let 7\/4*b - 2*b**4 - b**3 + 3\/2*b**2 - 3\/4*b**5 + f = 0. What is b?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 1037*v - 14 = 24*l + 1035*v, -4*l - 2*v + v + 7 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6480)\/(-144)*(2\/(-3))\/(15\/9)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 2726641.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*8\/(-140)*-35*(-720)\/225.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/3)\/5 + (-112)\/(-48)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14852219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 g, and 2 f when four letters picked without replacement from fqlllllgglgfgzgggrqg?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189509.\nAnswer: 189509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 2124*x**3 + 4*x + 255*x**3.\nAnswer: -1869*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1768 divided by -442.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319036737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 456.4811 litres?\nAnswer: 456481.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3\/3 + 656*j**2\/3 + 15524*j\/3 + 99736\/3 = 0.\nAnswer: -137, -14, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 a when three letters picked without replacement from {x: 6, a: 1, b: 1, y: 1}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*15\/90*-2. Let t be (7\/21)\/(2\/30). What is the highest common divisor of t and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -98, -254, -470, -740?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -3\/19 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63.1 - 63.6. Let p = 0.31 - 0.31. Which is the fourth smallest value? (a) p (b) -3 (c) -5\/3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 30*u + 108. Let r(o) = -4*o**2 + 119*o - 430. Let h(p) = -2*r(p) - 9*w(p). What is the remainder when 53 is divided by h(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766072.\nAnswer: 2, 31, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 8. Let o be (-5)\/(-25) + j\/10. Solve 4*f + 3*u + o*u + 10 = 0, -7 = f + 3*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -0.1, 2\/205, 4 in increasing order.\nAnswer: -5, -1, -0.1, 2\/205, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-140)\/(-32))*(-1)\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13. Suppose 2*i = 4*a - 34, -3 = -i - b*i. Calculate the remainder when 17 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*(4 - (-46007)\/26).\nAnswer: 3, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27449352*g*t - 15090570*g wrt t?\nAnswer: 27449352*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - m = 6060. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**9)\/x)\/x**(-1\/17)*(x\/(x**(-12)*x))**(-39) assuming x is positive.\nAnswer: x**(-8091\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 - 1277?\nAnswer: -1276.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x + 1. Let k(m) = 12*m**3 - 6*m - 4. Suppose -3*a + 3*f = -6, 1014 = a + 5*f + 1018. What is a*k(r) + 4*b(r)?\nAnswer: 8*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 7 - 3. Suppose -4*o = 4*z - 20, 2*o + 10 - 2 = 4*z. Let s be 1\/o - (-3)\/(-6). Is k greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16636151 (base 9) to base 13.\nAnswer: 19648ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 - 3*l**3 - 7*l**2 - 7*l**3 + 4*l**3 to s*l**2 + p*l**3 + v + x*l and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1261 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*g + 3*t, -g - 4*t - 16 = 3*g. Suppose 5*m + g = 2*k, -m + 6*m - 64 = -3*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22274601.\nAnswer: 3, 229, 32423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1379)\/(-2) + 101\/(-202) is divided by 112.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/7)\/i**5)\/(i\/(i**(6\/11)\/i))**(-35\/6) assuming i is positive.\nAnswer: i**(706\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1876 + 686 = -10*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*s + 19 = -21, -2*d + s = -11. Suppose 0 = 2*i + 4*y - 9 + 1, -4*i = -4*y - 4. Solve d*n = -i - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-4))\/(-3) + 3. What is the smallest value in 0.8, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36201.7618 rounded to the nearest one hundred?\nAnswer: -36200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15549 + -11037. Suppose 2*w = 5*j + o, 0*w - w = 3*j - 2278. Let l = 3219 - w. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 12:49 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 83076?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cfc - 7a?\nAnswer: -d76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23966891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 92 (base 16) to base 5\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 472 + 106. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -255898185 and 1.9.\nAnswer: -255898183.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 176*w**2 - 182*w**2 + 2*w + 7588 - 7579. Let i be -12*((-2)\/4)\/(-1). Calculate p(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-26) + (-40)\/(-416). Let h = 145\/7 - 21. What is the nearest to 1\/4 in h, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171877\/27870 - 2\/4645. Let r = -6 + h. Which is the biggest value? (a) 0.3 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5677 is divided by 5673.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 times 1310424\nAnswer: 419335.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2595039 to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -1\/30*n**5 + 0*n - 1\/75*n**6 - 1\/30*n**4 - 192*n**2 + 0*n**3 - 1\/525*n**7 + 0. Determine v so that i(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203966426423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -5 + 4 + -6 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-91)\/(-11) - 8)*2\/(-3). Let l = 25\/4 + -7. What is the closest to 0.1 in l, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 7 = -6. Let n(l) = 3*l**2 + 14*l - 31. Is n(q) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -4, 18\/77, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 109 = -9*g. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4622306.\nAnswer: 2, 13, 139, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002461157 rounded to 7 dps?\nAnswer: -0.0002461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Suppose h = 5*i - 4*h, 0 = -4*i - u*h + 18. Suppose -22 = -5*q - 0*q - r, i*r + 1 = -q. Solve -3*p + 4 = -q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1774 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 7 - 9 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4266184 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (253 - 4*p - 253)*(-2*p + 2*p + p)*(-6 - 6 + 5).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3446 + -3446. Which is the nearest to -1? (a) 0.2 (b) 0.28 (c) r (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*b**2 + 65*b**2 - 66*b**2 + 3*b**2 - 9*b**2 - 2*b**2 + (3*b + 3*b - 4*b)*(-3*b + 2*b + 3*b) as v*b + c + w*b**2 and give w.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-19)\/(228\/(-60)))\/(-3)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 13\nAnswer: 40\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) - (sqrt(243)*4 + -1) - ((sqrt(243)*-2)**2 + -3 + sqrt(243) - sqrt(243)) - (4*sqrt(243) + -3 + sqrt(243)*-2 + -4 + sqrt(243) + sqrt(243))**2.\nAnswer: -4905 + 477*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*z = 258*z - 186 - 2219 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -301 divided by 22273\nAnswer: -301\/22273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/156 and 87\/376.\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7763*u + 3972 + 2872 = -919 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:45 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2220\/(-444))\/((-17)\/(-102)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -2.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/2)*z**(3\/5))\/((z*z**0)\/z*z)**(-1\/15)*(z\/(z*z**(1\/3))*z\/(z\/(z*z\/z**(-3)*z)))\/(z\/(z\/((z**(-3\/5)*z)\/z))*z*(z*z**(5\/3))\/z) assuming z is positive.\nAnswer: z**(53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 156.6 and -0.2.\nAnswer: 156.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 642.56084 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -556 - -204?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 35.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*r - 27. Let y(z) = z + 4. Let o be y(-12). Calculate the remainder when 7 is divided by o\/32 + r\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*y**3 + 417*y**3 - 218*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00118597 rounded to five decimal places?\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - 9) + 1 + 0. Suppose 12 = a + x + s, 2*x - 8 = 0. Solve -3*b - 2 = -a*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(-4368)*-3*42\/40?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110001 (base 2) to base 4\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/96)\/((-2)\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/11)\/((26671\/(-19690))\/149)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(((g*g**7)\/g)\/g)*g*g*g*g\/(g*g*g**4)*g*g\/(g*g**0)*g*g*g*g*g\/g**5*(g\/(g*g\/(g*g\/g**(-1))))**(6\/13)\/(g**(-1\/3))**(1\/3) assuming g is positive.\nAnswer: g**(-581\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*j - 30. Suppose j*b = -3*z + 561, -3*b = 3*z - 603 + 42. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 2, b: 4, v: 2, y: 3, z: 2}. Give prob of sequence fo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 3*j**5\/80 + 3*j**4\/16 - 3*j**3 + 21*j**2\/2 + 112*j. Suppose i(f) = 0. What is f?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 4*d. Let g be n(-3). Let f(y) = y**2 - y - 2. Let c be f(g). Does 15 divide (-342)\/(-15)*10\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 19. Let n = l + 11. Solve -n*m = -3 - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*z**4\/3 + 18*z**3 + 106*z**2\/3 + 14*z - 6 = 0. What is z?\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from ogovhogphvvoioggvo.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/(((-20)\/14)\/(-1)). Let j = -317\/20 + i. Let a = 14747 - 324343\/22. Find the common denominator of a and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 - 28*c + 30. Suppose -3*s + 76 = s - 4*l, 0 = s - 3*l - 29. What are the prime factors of d(s)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21465 (base 7) to base 5\nAnswer: 133023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35434024 (base 6) to base 11.\nAnswer: -6981a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -281.\nAnswer: -1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1100) - (sqrt(1100) - (0 + sqrt(1100)))**2) + sqrt(1100) - -1*sqrt(44)) - ((0 + sqrt(1100) + 5 + sqrt(1100))**2 + 0 + -1).\nAnswer: -4426 - 178*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*y + 20 = 0, -h - 3*y = -5*h + 39. Suppose r + 8 = 4*g, g + 2*g - h = r. Suppose g*k + x - 5 - 2 = 0, x + 1 = 0. Solve 0 = 5*u - k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 29 = -2*g. Suppose -n = -4 - 19. Let u = n + 5. Solve 3*o = -4*b - g, 3*o + 5*b + u = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 39 = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 966+229.608235\nAnswer: 1195.608235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/6 - 17*j**2\/2 + 28*j. Let b be w(-5). Let f = -68 - b. Sort -1\/7, 0.02, f, 3.\nAnswer: f, -1\/7, 0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:58 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*f - 6*f - 11*f)*(-2 - 1 + 4) - f + 3*f - 3*f)*(5 - 2 + 0)*(9 - 7*f - 9) - 5*f**2 + 20*f - 20*f in the form b*f**2 + j*f + p and give b.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 11, e: 5}. What is prob of picking 1 c and 1 e?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/2, -3\/2, -5, 1087521\/16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 380?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (-180)\/(-12) + 4\/(-2)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -35 + 5 + -2 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apvx when four letters picked without replacement from mmpdxddamxxvxm?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**3 + 3*j**2 - 2*j + 4. Let h(x) be the third derivative of 17*x**6\/120 - x**5\/6 + x**4\/4 - 11*x**3\/6 + 2347*x**2. Calculate 4*h(y) + 11*z(y).\nAnswer: 2*y**3 - 7*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175*o**5 - o**3 + 137*o.\nAnswer: -3500*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -56 in decreasing order.\nAnswer: -3, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2079 - -2079. What is the third smallest value in 1\/9, -3, -0.5, p, -59?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3551311811 to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -668350 to the nearest 1000.\nAnswer: -668000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/9)\/b)**(-11) assuming b is positive.\nAnswer: b**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v - 11010 = 50*v + 2*r, -3*v - r + 6606 = 0. Calculate the remainder when v is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 18*u**2 + 4*u - 61. Calculate l(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 12537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/((-45)\/3130) - -4. Suppose 0 = -54*y + 52*y + v. What are the prime factors of y?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1203161 is divided by 98.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**4\/6 - h**3\/3 + 2*h**2. Let g = -4 - -1. What is a(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*h, 3 = a + 4*h. Let s = a + -1. Suppose -n + 5 = -s. Calculate the remainder when 13 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11 = -2*r - 3*r, -17 = 2*r + 3*p. Let j be 39\/3 - -4 - r. Is (-7)\/(j\/12) + 533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -120, -156, -156, -108, 0?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:46 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3620)\/1448)\/(5*-1))\/(6\/528*-1).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/16)\/((-267)\/(-178)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1515 in -2, -4115, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 25*k**2 + 43*k - 71. Let z be m(-23). Let s(u) = 4*u. Let v(n) = -5*n. Determine z*v(l) - 3*s(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -63*r**3 + r**2 + 50*r - 50. Calculate d(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 81?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 31) + 40 + (15 - 40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q**2 - 14. Let v(g) = -g**2 + 1. Let d(n) = -2*v(n) + y(n). What is the derivative of d(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bplbl. Give prob of sequence bbpl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(8\/(-12)*-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l - 2*l**2 - 5*l + 36*l - l**3 - 9*l - 2*l**4 - 9*l + 6 to v + p*l**4 + z*l**3 + j*l + d*l**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 4 = -12*z. Suppose 500 = 2*b - 4*x, z*b + x = 6*x + 501. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.29 times -0.7\nAnswer: 3.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -670*l + 4031. Let b = 46 - -17. What is the remainder when b is divided by i(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6 - 2*o + 3*o + 0. Let c(d) = d**3 + 5*d**2 - 6*d. Suppose -2*p + 6 = 0, -4*x + p - 18 = 3*p. Let m be c(x). Give q(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81\/4 + (-2)\/8. Let h be (2\/(24\/21))\/(1\/4). Suppose 102 = 2*l - h*d + 5*d, 4 = -4*d. Calculate the greatest common factor of y and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 339 + -316. Suppose -i*y - 2685 = -28*y. List the prime factors of y.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 = -13. Let y = 17 - 29. Let w = p + y. Solve -2*s - 2 = -b, 0 = -3*s + 5*b - b - w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 851*z**2 - 3476*z - 13185015 wrt z.\nAnswer: 1702*z - 3476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, -27, -45, -63, -81, -99?\n\"Answer: -18*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 2. Let d(k) = -7*k - 5. Let t(h) = h**3 + h**2 - h. Let l be t(-2). Calculate l*d(r) + 5*v(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/6*(-64)\/(-18). What is the fourth biggest value in k, 1\/7, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 3364684\nAnswer: -5\/3364684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1936\nAnswer: 3\/1936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(72) + sqrt(72) + -6*-1*sqrt(72))\/(-4*sqrt(16) + (-1*sqrt(40))\/sqrt(10))*-5.\nAnswer: -80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + y**2 + 2*y + 9. Let z be m(0). Suppose 2*t + 3 = z. Suppose 2*p + t*s - 87 = 0, -8 = -3*p - 3*s + 115. Is 36 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/7, 54, -2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + -3.9. Let o(w) = 2*w. Let l be o(1). Let u = l - 4. Which is the nearest to u? (a) 5 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19694*d**4 + 1334*d**2*r**3 - 12*r**3 - 33611*r**2 + r + 2 wrt d.\nAnswer: 78776*d**3 + 2668*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70859677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 6*t + t + 7*t to the form q + y*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670499?\nAnswer: 3, 19, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -219806, -436819, -653832, -870845, -1087858, -1304871?\n\"Answer: -217013*a - 2793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4) + 0)\/(3\/14). Let c(h) = 16*h + 19. Let l be c(k). Suppose 10*q - l = 1429. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 24*x**2. Let g(p) = -385319*p**2 + 2. What is g(y(t))?\nAnswer: -221943744*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 + -1 + 3 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -10. Let i = r + -37. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 108*x = 35*x - 8108286. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14752 divided by 1844\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/18*(-3)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 1)*(-4)\/3 - -369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 17*a - 14*a - 215, 266 = 5*y + a. What is the remainder when 211 is divided by y?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 + -4.94. Put i, -2, 2\/5 in decreasing order.\nAnswer: 2\/5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-12))\/((a*a\/(a*a\/(a*a**(-1\/7))*a))\/a*a))\/(a**(1\/13)\/((a*a\/(a*a\/a**9))\/a*a)))**(-5\/3) assuming a is positive.\nAnswer: a**(-10040\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v. Let i(z) = 106418*z. What is g(i(n))?\nAnswer: -532090*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26335715 - -16?\nAnswer: 26335733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:33 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 295 + -203. Let g = 95 - w. Solve -x + g*x = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1 - 0) - -2. Let q(u) = 3*u - 4*u**2 - o*u. Let l(g) = -5840032*g - 4*g**2 + 5840032*g. Calculate q(l(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32\/12)\/((-2)\/(-18)). Suppose -3*n = -4*n + q. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 - 3456*h**2 + 120972*h - 1038088 = 0. What is h?\nAnswer: -898, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -174*q**3 + 17*q**2 + 2*q + 39. Let c(i) = -87*i**3 + 8*i**2 + i + 18. Give -13*c(t) + 6*l(t).\nAnswer: 87*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 39 - 33 - x - 11 + 120.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:32 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878523290.\nAnswer: 2, 5, 87852329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 101001110?\nAnswer: -101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -18*t + 8. Let v(z) = -36*z + 15. What is -9*u(j) + 5*v(j)?\nAnswer: -18*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -373*b*h**4 - 2*b*h**3 - 806*b - 18*h**4 - 4*h**2 wrt h.\nAnswer: -8952*b*h - 12*b - 432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161061871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 11. Let u be t(-12). Let m = u - -13. Let a = m + 64. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7971 + 0.2029. What is the closest to 7 in 7, -3\/4, c, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 3. Let g(l) = 4*l + 0 + 2 - 5*l + 0. Suppose 0 = 2*o - n - 9, 0*n + n = -3*o + 16. Determine o*g(k) - 3*b(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 227243.13 months in centuries?\nAnswer: 189.369275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 847555 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 15. Let s be 32\/(-24)*(-3)\/(-10). Which is the second smallest value? (a) s (b) 3\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 390.874 - 395.7. Let w = c + 1.937. Let z = -2.9 - w. Round z to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -79587, -79139, -78393, -77349, -76007, -74367?\n\"Answer: 149*m**2 + m - 79737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/((-4)\/(-2)))\/(-1))\/((-34136)\/12048).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39676*p**2 + p + 2683?\nAnswer: 79352*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(4\/10*625\/(-2350)).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 13. Let p be -3 + 5 + -4 + 5. Suppose -62 = -p*a - n. Calculate the remainder when 42 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.057411l to millilitres.\nAnswer: 8057.411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5*(-1 - (-44)\/24) and (-177)\/(-2)*(-9)\/(-216).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866598 is divided by 48086?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 2*g**2 + 2*g + 2. Let x = 150 + -138. Suppose -x = 4*t - 10*t. Give f(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2729.904 millennia to centuries.\nAnswer: 27299.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*g**2 + 14*g**2 - 11*g**2 + (-1 + 1 + g)*(0 + 0 + 2*g) to p*g**2 + d*g + y and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56810.7 millennia to centuries.\nAnswer: 568107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831200.\nAnswer: 2, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Suppose -s + 10 = -5*v, b = -s + 4*v + 10 - 1. Suppose 0*l + 3*q - 18 = -5*l, -2*l + s*q = -1. Solve l*x + 3 = -3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 125. Let i be ((-6)\/(-15))\/(1\/m). Let z = 31 + -11. What is the greatest common divisor of i and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 4*a + 2*a)*(-1 - 2 + 4)*(-2*a**2 + 2 - 2).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20652 - -4?\nAnswer: -20648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(19\/((-4845)\/4)) is divided by 59?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14881231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -232, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000181 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 303*p**3 + 770*p**3 + 236*p**2 - 1858*p**2 + 469*p**3 wrt p.\nAnswer: 9252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 7*t**3\/6 + t. Let u(g) = 8*g. Let w(j) = -3*j. Let x(o) = 5*u(o) + 16*w(o). Give x(a(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*s + 3*s - 19, 3*l = s - 7. Suppose -5*n + 237 = s*y - 3*y, -5*n + 249 = -3*y. Let u = n - 33. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -378 + 388. Let q = -35 + 63. Calculate the remainder when q is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ninaaazbbzqnzbb. What is prob of sequence anba?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 9\/2*z**2 + 2*z + 1\/6*z**3 + 0. Determine k(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(175\/(-140)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 8)*4\/3. Suppose q*p = p - 2*x + 30, 0 = -4*p - x + 35. Suppose 22 = 9*n - 23. Solve p*o - n = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 1. Let t be p(-6). Let q(o) = -o**3 - 11*o**2 - 4*o - 16. What is the units digit of q(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 363 - 361. Factor -532*h**2 + 128*h + 957*h**2 - 4*h**3 - 549*h**z.\nAnswer: -4*h*(h - 1)*(h + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(-2*sqrt(10)*-1).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4*t - 25429953*o**4 - 5*o**2 - 550*o*t + 2042*o wrt o.\nAnswer: 24*o*t - 610318872*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(-2 + 2 - 2*a**2) + 1979*a**2 + 194 - 1981*a**2 + 24*a + 280 as p*a + z + g*a**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 p when three letters picked without replacement from {r: 2, c: 3, m: 2, p: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20065 less than 0.47?\nAnswer: 0.67065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d - 6. Determine u(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - n - 2*n - 16, -k - 4*n - 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*d - 5*l, -314*d - 3*l + 16 = -315*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.395 rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 453 (b) 1 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 22*v - 6 + 3 - 56*v. Let m(b) = -135*b - 13. Let a(u) = -26*f(u) + 6*m(u). Let i(w) = -3*w. What is a(i(n))?\nAnswer: -222*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x**2 + x**3 + 0*x**2)*(740*x - 1962*x + 583*x) to the form s + o*x**2 + h*x**3 + b*x**4 + g*x and give b.\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (5 + -52))\/(-1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 16*j**3 + 5 - 2*j + 2 as q*j**2 + p*j + o + s*j**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 945 or 950?\nAnswer: 945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2)*(-8)\/24. Let k = 0 - s. Factor -1\/3*a**3 + 2\/3*a**2 - k*a + 0.\nAnswer: -a*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 46. Suppose -4*m - d + 71 = 0, n*m + 2*d = -3*d + 32. Suppose 3*s - 4 = 53. Calculate the highest common divisor of m and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167747057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428829415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:45 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -100100011011?\nAnswer: 100100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 13*c + 8. Let o be n(-12). Let t = o - 16. Suppose 3*v = 0, -6368723 = -t*p + 3*v - 38768723. Round p to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 0*m - 21. Suppose r + 1 = m. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8756 and 107379206?\nAnswer: 4378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*q - 55, 0*q = z + 5*q + 38. Let i = z + 25. Let m be 27250000*-1*i\/5. What is m rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 5*v**6\/6 + 95*v**4 - 1196*v**3 - 760. What is the third derivative of w(y) wrt y?\nAnswer: 300*y**2 + 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l + 7*l + 7 + 11.\nAnswer: -6*l + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**3 - 29*k**2 - 9*k + 3. Let s be r(-8). Suppose 4*o - 4*m = 488, 5*o - s - 350 = -2*m. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -472 + 1360\/3. Put -2\/7, h, 5 in decreasing order.\nAnswer: 5, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -86 - 1a09?\nAnswer: -1a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2*z**0\/z)**(-3\/8) assuming z is positive.\nAnswer: z**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64394 = -3944*y + 10319*y - 262019 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 1578536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126073, -121258, -116443, -111628, -106813, -101998?\nAnswer: -97183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3861\/675 + (-8)\/(-100). What is the third biggest value in 2, 2\/7, -1\/7, -0.04, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 30439.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19943006837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 9*d**3 - d**3 + 4*d**3 + 6*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789796071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.1. Let u = 0.25 - 0.35. Let q = j - u. What is the third biggest value in q, 1\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d*r**2*t**3 + d*r**2*t**2*y**3 + d*r*t**3*y**3 + d*r*t**2*y**3 - 13*d*r*y**2 - 4*d*r - d*t**3 + 2*r**2*y**2 wrt t?\nAnswer: 36*d*r**2 + 6*d*r*y**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + x - 723, 2*k + 3*x - 285 = 64. Suppose 0 = -4*d + k + 330. What is the greatest common divisor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**4\/3 + 412315*a**3\/3 - 274905*a**2 - 5360275*a\/3 - 4123250\/3 = 0.\nAnswer: -82465, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 72\/631 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-20))\/((-16)\/(1600\/(-870))) - 1017\/(-29).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 372 and 28210.\nAnswer: 169260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2 + 8*k\/5 - 4\/5 = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.8 + 853.\nAnswer: 871.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2396 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431039 is divided by 978.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 9:45 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3198478 and 15714?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 819685.3l?\nAnswer: 819685300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 361*q**2 - 12*q - 5. Let r(b) = -361*b**2 + 12*b + 6. Let n(g) = 5*h(g) + 4*r(g). What is the second derivative of n(u) wrt u?\nAnswer: 722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 12*g**2 + 32*g + 11. Let r be m(8). Solve 0 = 6*i + 5 - r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**5\/5 - 834*h**4\/5 + 4643520*h**3 + 4870650112*h**2\/5 - 13577059528704*h - 13578029015040 = 0?\nAnswer: -2520, -1, 2312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2*(-80)\/100)\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52802 - 445809 = -17*f - 35293. Round f to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*x + 3 + 16*x - 101*x - 2 + (-4 + x + 4)*(-4 - 2 + 1) + 5*x - 5*x + 9*x.\nAnswer: -174*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 9 - (2 - 5) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, 5, 6\/73, 2\/7, 1 in decreasing order.\nAnswer: 5, 1, 2\/7, 0.2, 6\/73, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*x - 13. Suppose x*t = -0*i + 3*i - 5, 3*i + 5*t = 55. Let o(q) = -q**2 + 13*q - 12. Calculate the smallest common multiple of 14 and o(i).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**2 + g - 1. Let h(a) be the first derivative of -1\/2*a**2 + 0*a - 34 + 4\/3*a**3. Give -3*h(y) - 2*p(y).\nAnswer: -2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1901381.\nAnswer: 139, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1388, 0, 729 in ascending order.\nAnswer: -4, 0, 5, 729, 1388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-18)\/10)\/(((-504)\/80)\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -4410.\nAnswer: 22050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -62533 divided by 3\nAnswer: -62533\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24561136 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5\/7 + 376*j**4\/7 + 740*j**3\/7 + 368*j**2\/7 = 0. What is j?\nAnswer: -92, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 398*q - 20. Let g be f(-10). What is g rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Suppose 72 = 3*w - 0. Calculate the highest common divisor of w and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 5a6?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1192*n + 2804*n + 32 + 37 - 69.\nAnswer: 3996*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 4*t = 4*t. Solve 2 = k - 2*y + 7, t = -k - y + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/((-18)\/(-389)))\/(81\/90). Let r = y + -71. What is the common denominator of r and 101\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36436177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1028736 divided by -47.\nAnswer: 21888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 99, 6\/13, -1\/7, -6, -5?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*8\/3. Suppose -2*b + 4 = -v, -z*b + 3*v + 9 = b. Suppose 2*f = -b*x + 139, -189 = -4*f - 4*x + 83. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 69, 162, 303, 498, 753, 1074, 1467?\nAnswer: 1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2885351906 to the power of 1\/2, to the nearest integer?\nAnswer: 53715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519 divided by -9?\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxpxxxyxxxyxpxyx. What is prob of sequence pypx?\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 5*c - 205, -9*d + 2*c + 1074 = 1117 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p - 13. What is the tens digit of r(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*w - 30 = 38, 5*z - 66 = 3*w. List the prime factors of (z\/(-16))\/(1\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-60))\/(24\/15) + 4\/24. Which is the fourth smallest value? (a) g (b) -0.8 (c) -0.4 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 12*g + 6*g = -22, 13*b = 14*b + 7*g - 27 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -49, 5, -3, -3786.\nAnswer: -3786, -49, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 508, 2051, 4622, 8221, 12848, 18503, 25186?\nAnswer: 32897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, m: 1, d: 3, v: 2, e: 5}. What is prob of sequence ev?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7030.\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4780901 is divided by 695.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 307585 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 99*u - 139*u + 0)*(0*u**3 - 4*u**3 + 6*u**3).\nAnswer: -80*u**4 + 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 9 = -2*g - 5*m, -5*m - 3 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -279798*t + 209354 wrt t.\nAnswer: -279798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179067.\nAnswer: 3, 7, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 50.06418*0.3\nAnswer: 15.019254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/27 (b) -2 (c) -4\/9 (d) 0.3 (e) 34 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2589, -2584, -2613, -2694, -2845, -3084?\nAnswer: -3429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 497920604 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.5 and 0.0400763.\nAnswer: 0.14026705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.582*-2.\nAnswer: 23.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1. Let a be (-16 - -16)\/12 + (1 - 0). Let f(x) = -x**2 + x - 1. Let n = 19 - 18. Give a*f(z) + n*q(z).\nAnswer: -z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36180 - 212*j**2 - 36180.\nAnswer: -212*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-15)\/(-6))*-2. Solve 0 = 3*u - t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8110 - 8109.9. Let q = 2.15 - 2.4. Let i = -9.6 + 10. What is the biggest value in o, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 0*l**2 + 0*l**2 + (32 - 21*l - 32)*(0 + 0 - 2*l))*(l**2 - 2*l**2 - l**2).\nAnswer: -78*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 11*n + 28. Let y be (-210)\/72*-3 + 2\/8. Let q(u) = 2*u**2 - 2*u - 5. Calculate the remainder when q(4) is divided by w(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 8*h - 4. Let c be b(-7). Suppose 6 = -0*r + c*r. Suppose 0 = 2*m + 10, 3*f - r*m - 15 = 7. Solve -j + 5 = -f*g - 7, -g - j = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*n - 33 = -123*n + j, -5*n - 2*j - 68 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 31*q - 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*6*(-1)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 0.3 (c) -2\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - f = -10, 2*f - 3*f = -4*d + 20. Let c = -3 - -2. What is the third biggest value in c, d, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8894 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-2\/13)*s*s)\/s*s))\/s*(s*s**(-4))\/s*(s**(3\/5))**(17\/4) assuming s is positive.\nAnswer: s**(-857\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 18*m**2 - 24*m - 12. Let z(f) = 2*f**3 + 35*f**2 - 47*f - 25. Let d(i) = -11*t(i) + 6*z(i). Is 10 a factor of d(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 92 - 82 = 0. Let h be ((-8)\/s + 4 + -6)\/3. Factor 0*p - h*p**3 + 0*p**2 + 0.\nAnswer: -2*p**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**3 - 3*x**2 + 3*x. Let s(d) = 6*d**3 + 4*d**2 - 4*d. What is 3*s(a) + 4*t(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 3. Let g be j(-6). Suppose 4*b + 2*k = 14, -g*k + 7 = -4*b - 4. Let i be b - 3 - (-6 + 2). Solve 0 = 5*z + q + 27, -4*z + 4*q = i*q + 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 + b**2 - 3*b. Let d(x) = x. Let s(g) = 3*d(g) + h(g). What is the third derivative of s(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3905 = 4*l - 18321, 16668 = 3*l + 4*n. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-17)*y*y)**(1\/36)*(y**(4\/9))**(-39))**(3\/14) assuming y is positive.\nAnswer: y**(-213\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 6034 = 23929 - 605. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + r + 1901 = 0, -8*r + 3*r - 955 = -2*k. What is the remainder when k is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*s**2\/11 - 28*s\/11 - 2\/11 = 0. What is s?\nAnswer: -1\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 - (5 - -6). Let u be (-39)\/c + 1\/(-4). Let m(v) = -v + 2. Let k be m(-2). Solve -2*x + 6 = 0, -k*o + u*x = -9 - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 4:11 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 - 5 = 0. Suppose c*r + 4 = -4*s, s + 1 = -3*r - 2*r. Suppose -2*y + y - 5 = z, r = z + 4*y + 20. Which is smaller: -3\/5 or z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2114?\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(4\/15)\/g)\/g)*g*g\/g**(-2\/5)*(g**12\/g)**(-20\/9))**47 assuming g is positive.\nAnswer: g**(-40843\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25 and -92?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4}. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4\/13 - 3566*z**3\/13 + 1034290*z**2\/13 - 1030722*z\/13 = 0.\nAnswer: -2037, 0, 1, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 2262258?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1001011 (base 2) to base 14\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -112, -102, -106, -130, -180, -262, -382?\n\"Answer: -s**3 - s**2 + 20*s - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0*a**2 + 8*a**2 - 1 + 3 - 7*a - 9*a**2 + 0*a**2. Calculate o(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z - z)*(31 - 9 + 2).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0, -3, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 2*a + 1. Let w be f(-3). Suppose 0 = -b - w, 0 = -3*n - 0*n + 3*b + 120. Suppose -5*i + n = -i. Solve -3*g = -i + 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p**3 + 93*p**2 - 93*p**2)*(5 - 2 + 2) in the form w*p**3 + o*p**2 + v*p + u and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -2, 5, -167 in descending order.\nAnswer: 5, 4, -2, -3, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 4, 149229 in decreasing order.\nAnswer: 149229, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 0.2641.\nAnswer: 0.3641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**2 - 32*f + 65. Let m(u) = -10*u**2 - 48*u + 98. Let l(o) = 5*m(o) - 7*t(o). What is the remainder when l(-9) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 6:57 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1865, -7434, -16709, -29684, -46353?\n\"Answer: x**3 - 1859*x**2 + x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g**(10\/9)*g))\/g**(-2\/77)*g**(-1\/19)\/g**(2\/7) assuming g is positive.\nAnswer: g**(7591\/13167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = -0*n. Let m = 1.07 - 0.8. Let p = m - 0.07. Which is the nearest to p? (a) -1 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 5. Suppose v + 1 = h. Suppose -v*o + 411 + 37 = 0. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-11 - (0 + -5)). Let t(q) be the third derivative of 0*q**3 - 1\/30*q**h + 0*q + 0 - 4*q**2 + 1\/12*q**4. Let t(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*t - 7, 0*t + 2*h + 4 = t. Let l = -5 - t. Let q = l - -22. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u - u)*(3 - 2 + 3).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 448789.435 to the nearest one hundred.\nAnswer: 448800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*g - 5. What is the tens digit of 1*-3*141\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.049998605 + 4.05. Round o to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*j - 15 = 0, -15*b - j + 8 = -13*b. Which is greater: b or -0.0377?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766549?\nAnswer: 7, 109507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/89624 and 71\/22.\nAnswer: 985864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - -5215. List the prime factors of s.\nAnswer: 2, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1244 divide 9545212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1600 or -1603?\nAnswer: -1603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**7\/840 + c**4\/4 - 6*c**2. Let k(w) be the second derivative of u(w). Let d(i) = 2*i**2. Determine k(d(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (sqrt(48)\/sqrt(3))\/sqrt(8) - (sqrt(1620) - (sqrt(1620) + -2*sqrt(1620) + sqrt(1620)))\/(3*sqrt(90)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 111110?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 4*c + 93. What is the remainder when p(0) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -4*s + 3*j, 2*s - 102 = 5*j - 3*j. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 5. Calculate the remainder when 2 is divided by j(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 164517 - 164415.123. Let t = b + -102. What is t rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*i = 0. Suppose i = 5*g - 1193 + 148. What is the remainder when g is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (3 + -11 - -1) + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6988843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-1) - (1 + -1). Let n be (-73)\/3 + i\/(-9). What is the remainder when 35 is divided by n*2*1\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 4, -4, 3 in descending order.\nAnswer: 4, 3, -4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136261065 divided by 3401.\nAnswer: 40065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*t + 10. Suppose -5*g = 2 + 13, -14 = o + t*g. What is the remainder when 3 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -0.2, -3, 1\/373944?\nAnswer: 1\/373944","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2 - 6550*n = 0.\nAnswer: 0, 1310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and ((-6)\/5 + 2)\/(53\/265).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117241408 to the nearest integer?\nAnswer: 10828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 44*x + 558. Give h(-57).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.3 (c) -11 (d) -0.6 (e) -0.001 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-14) + 15\/35. Suppose w = -6*t + 2*t + 8. Find the second derivative of c**2 + 12*c - t*c**2 + c**2 + c**2 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1842, -1854, -1866, -1878, -1890?\n\"Answer: -12*j - 1830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 28*r**4 + 141924*r**3 - 13626964*r**2 + 17326284*r - 3841272 = 0.\nAnswer: -5163, 2\/7, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -7. Let m(k) = -n - 5*k + 10*k - 2*k. Give m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2908 and -0.033.\nAnswer: 0.2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -63. Let p = -1754 + 1755. Which is the nearest to p? (a) -0.1 (b) i (c) 0.07 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 - 617\/(-4). Let b(l) = -4*l**2 - 23*l - 16. Let j be b(-5). Is i - (j + (4 - 6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + d - 3*d)*(-6 + 3 + 1)*(0 + 1 + 2)*(-d + 0*d + 2*d) to the form y + w*d**2 + b*d and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 725847110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12077 - -22783. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**3 + 22*u**2 + 23*u\/3 + 2\/3.\nAnswer: (u + 1)*(3*u + 1)*(15*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**2)\/(v\/(v*v**(1\/5)*v)))**(-11))**40 assuming v is positive.\nAnswer: v**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, g: 1, h: 1, d: 3, x: 5}. Give prob of picking 1 x and 1 h.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from {w: 4, u: 1, z: 1, v: 1, m: 5}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a decade in months?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Let a be (0 - 13) + (z - -2). Let l = 15 + a. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 4. Let y be p(9). What is the second derivative of j**3 - y*j + j**3 + 61 - 61 wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*l**3*u**6 - 25*l**3*u**2 - l**2*u**6 - l**2*u**2 wrt u.\nAnswer: 5160*l**3*u**3 - 120*l**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.35 - 1.85. Which is the closest to 2\/7? (a) -4 (b) 3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7749*v + 4*x = -7754*v + 30, 3*v - 3*x = -9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1321*w - 76541 + 652*w + 76541 to f + d*w and give d.\nAnswer: 1973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - ((-282)\/2 + 2). Let w be (2 + (-3)\/2)*40. What is the greatest common divisor of w and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f*f**6*f)\/f)*f**(-11))\/(f**(-9)*(f\/(f\/(f*f*f**3\/f)*f))\/f*f) assuming f is positive.\nAnswer: f**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 12*c**2 - 21*c + 17. Give p(14).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -372.8 + 411. Let z = a - -0.8. Let v = z + -38.999984. Round v to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -14 + (4 - -18) + -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 2\/19, -1\/4, 37932870, 0.1?\nAnswer: 37932870","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 (base 16) in base 9?\nAnswer: -737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*c - 479 - 473 + 52 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26377 and 949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -961186128.0000037 + 961186169. Let p = w - 41. What is p rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*q - 5*t + 27, -3*q + 11 = -4*t. Let p(n) be the first derivative of 1\/3*n**3 + n**2 + 0*n + q. Find the second derivative of p(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38938, 38940, 38942, 38944?\nAnswer: 38946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69676 - -69681. Suppose -3*y = 1 + 2. Which is the nearest to y? (a) 31 (b) t (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 + -30. Let b = -47 + t. Let f(j) = 4*j - 3. What is f(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2765 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 326617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2717 (b) 4 (c) -1 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1016 and 88.\nAnswer: 11176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 10*x - 6. Suppose -65 = 4*s - 21. Let f be v(s). Let z = 1.5 + -1. Which is the closest to 1? (a) z (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5139287, -2, 4 in decreasing order.\nAnswer: 6, 4, -2, -5139287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -3, -18, -26, 7, -2 in increasing order.\nAnswer: -50, -26, -18, -3, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 = -105*y + 2708 + 313 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50500 divided by 12625?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01627 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7044 - 518845362\nAnswer: -518852406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(((-12)\/(-42))\/((-20)\/14)*(-140)\/(-28)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 5. Let n be 7718\/(-51) - (2\/3 - 2). Let l = -153 - n. Give r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 308 = 10*h. Let i be h\/9 + (-3 - 116\/(-36)). Let q(x) = -2*x**2 + 2. Give q(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46093110 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 4*n + 2. Let m(i) = -3 - 30*i**2 - 21*i - 10*i - 52 + 7 - i**3. Calculate the remainder when w(-6) is divided by m(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -1.185673?\nAnswer: -0.5928365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/11 (b) -4 (c) -2 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4282651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*f**2*j**3 - 2728*f**2*j**2 + 79*f*j**4 - 26*f*j - 139*j**3 + 2*j**2 wrt j?\nAnswer: 246*f**2 + 1896*f*j - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 3 - (1 - 5) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/7433 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + -3. Let u = 13 + p. Sort u, 4, 2 in increasing order.\nAnswer: u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -11. Suppose n*v = 6*v. Is v > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 11 = -156. Calculate the remainder when g is divided by 3 + 1\/(3\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)\/(t**(-10)\/t)*(t\/(t*t\/(t*t\/(t*t*t*t*t**19*t))))\/(t**(2\/53)\/t) assuming t is positive.\nAnswer: t**(-797\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, k: 2, w: 3, e: 2, g: 4}. Give prob of sequence kewk.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-12)\/(-8)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92350 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 627126.9l?\nAnswer: 627126900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-365*y + 175*y + 2128*y)*(-1 - 2 + 2).\nAnswer: -1938*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3788, 7583, 11380, 15179, 18980?\nAnswer: 22783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 3. Suppose -2*m = -0*m + 6. Is 3 a factor of t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and -18210.93.\nAnswer: 4188.5139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x + 18 = 0. Suppose -2*z + x = -0*z. Suppose 0 = -3*a - 4*h - 0*h + z, 30 = -5*a + 5*h. Let m(w) = -w**2 - 7*w - 3. Calculate m(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t**4 - 21225*t**3 + 11901765*t**2 + 19881105*t + 7958106 = 0.\nAnswer: -1, -2\/3, 923, 1437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, 7, -27, 26 in decreasing order.\nAnswer: 191, 26, 7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1849 is divided by 182?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((10 - -1) + -6 + -6 + 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjj. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -16.2. Sort 0.3, d, -2 in increasing order.\nAnswer: -2, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126472, -486860, -1087506, -1928410, -3009572?\nAnswer: -4330992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -403, -965, -1751, -2761?\nAnswer: -3995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.061133665 + -0.073\nAnswer: -0.134133665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 44, 13, -88, -283?\n\"Answer: -4*t**3 + t**2 + 40*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 4, y: 7, o: 6}. Give prob of picking 2 o and 1 y.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-399) + (-4)\/38?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 8 = -16. Solve 0 = z + g + 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 5. Let o be 8 - (2 + -3) - g. Suppose -4*u + o = -0*u. Solve 0 = -y - 3, 0*a + u*y + 9 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-20\/7))\/(s\/((s**9\/s)\/s)))**(-10) assuming s is positive.\nAnswer: s**(-760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = 3*b. Suppose -12 = -2*o - 3*i, -2*o + 2 + 0 = -2*i. Calculate the remainder when 304\/(-19)*(b - 2) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*w = 34, 16*o - 15*o = 2*w - 9. Solve 3*a + 0 = -o*q - 18, -5*q - 14 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Suppose -p*w + 2*w = -3. Suppose -5*g + w*v + 30 = 4*v, v = -3*g + 18. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 13 - 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 2*c - 5*k, 5*c - 470 = 26*k - 31*k. Calculate the remainder when 225 is divided by c.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/2*5985\/(-778050)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11767523338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235378 and 112970.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/161687?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -861, -1591, -2387, -3249, -4177, -5171, -6231?\nAnswer: -7357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 22*o - 51 = -3*n, 3*o + 2*n - 146 = 0. Calculate the least common multiple of o and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9819641987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 656 + -654. Let w(s) be the second derivative of 0*s**2 + 0*s**3 + 0*s**5 - 4\/15*s**6 + 0 - 1\/4*s**4 - k*s. Find the third derivative of w(j) wrt j.\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - m**2 - 6*m**2 + 4*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 6 = 6, 3 = 8*i + w + 43 + 8 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.195312 and -3?\nAnswer: -0.585936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*3\/9*2. Solve a*b - 4*f = 2*b + 18, -4*f - 20 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3659 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkk. Give prob of sequence vk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5951\/(-541))\/(11\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48374 and 938.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -543, 13725, 0 in increasing order.\nAnswer: -543, 0, 13725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471851.\nAnswer: 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 6*h - 4. Let w be r(-7). Let x be 5*1\/w*3. Suppose 8 = -b + x*b. Calculate the remainder when 3 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 3*h + 12. Determine s so that 4 - 4 - 27*s**2 + 6*s + 12*s**h = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -4, 61\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2312 + -12201?\nAnswer: -21113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 133*u + 42. What is the remainder when 132 is divided by t(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113756 is divided by 2982?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.00038 + -0.0000629. Round v to 5 decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**6\/45 + d**5\/15 + d**4\/6 + 71*d + 93. Let n(x) be the first derivative of h(x). Find q such that n(q) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 79. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2\/3 (c) -1\/2206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 10) + (32 - (-9 + 4))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m)**(-2\/7)\/(m**(-2\/7))**(5\/6) assuming m is positive.\nAnswer: m**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 - 960147?\nAnswer: -960147.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9856348*v + 7804072 wrt v.\nAnswer: -9856348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38213 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -4, 56, 6593.\nAnswer: -4, -2, 4, 56, 6593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*j + 3333 + 13179 = 0. Calculate the greatest common factor of 20 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6 + 2*j + 8 - j - 5. Let g be t(5). Find the second derivative of 5*u - 2*u + u**4 + g*u**4 wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.87.\nAnswer: -0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from haq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 248, 256, 264, 272, 280, 288?\n\"Answer: 8*a + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.6. Let y = 0.6 + r. What is the closest to -1 in y, -4\/7, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2902 and 240?\nAnswer: 348240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14432586?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-18 + 17)) + -6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 31 = -5*t, -3*l - 5*t + 18 = -14. Sort 4, l, -3 in ascending order.\nAnswer: -3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19242*v - 8616*v + 12943*v + 830444 + 253730 = 0 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 256\/10112 + (-243)\/237.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - 1\/2 - -5. Suppose 0 = 4*c - 2 - 6. What is the closest to 0.2 in c, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9876 - 9832. Suppose -3*h + 141 = -0*q - q, 0 = 5*h - 2*q - 235. Do n and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17825\/30856 - -453\/203. Let h = b + -45\/38. What is the common denominator of 57\/26 and h?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(8\/13))**(-9\/7) assuming n is positive.\nAnswer: n**(-45\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28748595 is divided by 684490.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -441605 (base 12) in base 11?\nAnswer: -679089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 + -187. Let j(n) = 2*n**2 + 9*n - 33. What are the prime factors of j(h)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 446?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 49464 = -6*f. Let y = f - -247211\/20. Let a = 208 + -2083\/10. What is the common denominator of a and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250390*u**3 - 3*u + 3*u - 918845*u**3.\nAnswer: -668455*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1186*h - 13. Determine y(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from trjrratnar?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/21)*b**(3\/19) assuming b is positive.\nAnswer: b**(44\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktggtkkt. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 4*c = 288. What is the highest common factor of c and 528?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -406998.12 to the nearest 1000.\nAnswer: -407000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 - 2 - 5) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 4 (c) -2\/15 (d) 0.193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 864 divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 22*y**2 - 919*y - 21199. Determine l(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, w: 3, f: 6}. Give prob of picking 4 f.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjdiyi. Give prob of picking 1 d and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 12*j - 3. Suppose 2 - 13 = -q. Calculate the remainder when f(q) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2\/4 + 67*o\/2 - 2379447\/4 = 0.\nAnswer: -1611, 1477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/13? (a) 3\/7 (b) 1 (c) 5.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/84 and 61\/6449730?\nAnswer: 12899460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**2 + 27*n**2 + 1629*n - 1628*n - 2*n**4 - 2 + n**3 as d*n**3 + q*n + t + y*n**4 + v*n**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 267244, 534491, 801738, 1068985?\n\"Answer: 267247*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**7\/70 + 7*a**6\/120 - 11*a**5\/30 - 67*a**2. What is the third derivative of f(q) wrt q?\nAnswer: 72*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 8*h**7\/105 + h**3\/3 + 14*h**2. Differentiate f(r) with respect to r.\nAnswer: 64*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55.84 or 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 9*j**5\/20 - 5*j**4\/8 + 22*j**3\/3 + 150*j**2. What is the units digit of r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6279582 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q - 889 = 320 + 640 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millennium in centuries?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 700?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075 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: Let l be (108\/144)\/(1\/4). Suppose 4*r - 1813 = -k - 143, l*r = -2*k + 1250. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 812\/8 + (48\/(-8) - -2). Let p = 98 - a. Let 3\/4*r**5 - p*r**4 - 3\/2*r**3 + r**2 - 1\/2 + 3\/4*r = 0. Calculate r.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 2*c + 0*c)*(-2 + 2 + 2)*(0 + 0 - 3) to v + s*c and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6285, 14350, 24203, 35838, 49249, 64430, 81375?\nAnswer: 100078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -24. Let d(h) = -4 + 2*h**3 - 5*h**3 - 4*h**z + 4*h**3 - 4*h - h. What is the remainder when d(6) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -7\/4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -545491584 minus -634?\nAnswer: -545490950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 - (6 + 0 + -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:18 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c - 9. Let i be p(6). Suppose -f = i + 16. Let s = 43 + f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 548368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 2, g: 2, p: 1, d: 3, o: 4}. What is prob of sequence gp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -12. Let d = 6 - 10. What is the nearest to k in d, -0.2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.58*-0.088.\nAnswer: 0.05104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 8*t**2 + 8*t - 3. Let o be b(7). Let d(j) be the first derivative of j**4\/4 - 5*j**3\/3 + 5*j**2\/2 - 8. Give d(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 + 146.7. Is 12 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 5*u**3\/3 - 715*u**2 + 102245*u - 1276. Factor z(l).\nAnswer: 5*(l - 143)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**0*q*q*q)**(3\/5)*q\/((q\/(q*q*q**5*q))\/q)*q\/(q*q*q\/(q*q\/q**(-2\/25))) assuming q is positive.\nAnswer: q**(287\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, z: 4, h: 1, t: 1, w: 3}. Give prob of picking 1 h and 1 z.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (-3*(sqrt(252)*-1 + -2)*5)**2).\nAnswer: -172809 - 16200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0899 and -0.2168468.\nAnswer: -0.1269468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.38463 - 0.01537. Which is the fourth smallest value? (a) -0.08 (b) 3\/4 (c) -3 (d) -1\/2 (e) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {g: 5, m: 14}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*o**2 + 70*o**4 - 87*o**3 - 84*o**4 - 7*o**3 + 120*o**2 - 32*o.\nAnswer: -2*o*(o - 1)*(o + 8)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 0 + -7 - (2 - 1). Let g be 0\/(2 + 2\/a). Solve g = 4*k - 2 - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 12835 = -9899. Let k = b - 519. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35369 and -0.16.\nAnswer: -35369.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3906*q**3 - 9*q + 85050 with respect to q.\nAnswer: -11718*q**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Let g(d) = d - 4. Let r be g(o). Is r greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -1723191.45982.\nAnswer: -1723187.45982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + p + 5, 58*p - 54*p + 20 = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 714\/(-66) + 18\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2154 + 2293. Calculate the remainder when 555 is divided by i.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*m - 315*m - 12 = 912 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -12 - (10 + -33 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 540 * 454.889.\nAnswer: 245640.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r + 1214*r + 480*r)*(r**2 + 2*r**3 - r**3 + r**3).\nAnswer: 3368*r**4 + 1684*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057451?\nAnswer: 17, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**4 - 1396*j**3 + 99956*j**2 - 2124716*j + 3860712 = 0?\nAnswer: 2, 43, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 24582 + 4*i - 36164.\nAnswer: -i - 60746","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6774090 and 435552.\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555 minus 377?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from eseeseee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034 times 4?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 273335*t. Let p(d) = -26*d. Give y(p(w)).\nAnswer: 1352*w**2 - 7106710*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 702\/7. Let m = 40308 + -40306. Factor -2\/7*d**5 - 2\/7*d + 4\/7*d**m - 2\/7 - c*d**4 + 4\/7*d**3.\nAnswer: -2*(d - 1)**2*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6002*u + 297. Is v(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 916113 and 2591358?\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-24)*-2*(16\/(-20))\/(26\/195)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-3))\/(-9 + 10). What is the nearest to x in -3\/2, -0.4, 0.5, 1\/24?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - 10000110?\nAnswer: -10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r - 54 = -30*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6810 by 227.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*h**4 - 10*h**3 + 2374*h**2 wrt h?\nAnswer: -1752*h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 0*t**3 - 9*t**2 + 35 + 51 - 99.\nAnswer: -t**3 - 9*t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -364\nAnswer: -9\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1b7a4 (base 12) to base 4\nAnswer: -21332230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18563947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 211 - 85. What is the greatest common factor of 112 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 92.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, j: 3, n: 4, r: 7, h: 4}. Give prob of picking 1 j, 1 h, 1 t, and 1 r.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.42495?\nAnswer: 1.6998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -16\/25917 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrhhrhrrrr. Give prob of sequence hhrh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - y + 9, -2*l + 2407*y + 93 = 2412*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 4 (c) 3 (d) 1 (e) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(15\/(-50)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -119, -458, -1017, -1790, -2771, -3954?\n\"Answer: c**3 - 116*c**2 + 2*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 9*y**4 - 4*y)*(2*y - y + 0*y) - 4*y**5 + 4*y**5 + y**5.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001491491 rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 31.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 248110856 divided by 4?\nAnswer: 62027714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6)\/(i**(-1\/3)*i)*(i\/(i*i\/(i\/(i*(i**(-2\/15)\/i)\/i))))\/(i**9\/i))**2 assuming i is positive.\nAnswer: i**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m + 27. What is l(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-240*180\/(-15525).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -541703 less than -20?\nAnswer: 541683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/11 - -1\/22. Which is the third smallest value? (a) 7 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 14 = 4*z, -2*z - 4*n = z + 18. Let k be z\/10 - (-48)\/15. Suppose 4*v = k*h - 7, h = -4*v + 16 + 13. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 4:08 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7348812 divided by -4\nAnswer: -1837203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1173999*o**3 + o**2 + 7*o - 7. Let g be t(1). Round g to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 190*a**3 + 14*a**2 - 6*a + 11. Let r(b) = 38*b**3 + 3*b**2 - b + 2. Give 11*r(s) - 2*y(s).\nAnswer: 38*s**3 + 5*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1128 and 62921626.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*(-25)\/4700*(40 + -36)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m + 4 + 0*m + 3 - 4*m to f + h*m and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/15168 and 49\/120.\nAnswer: 75840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76827\/13 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 5 (c) 1\/4 (d) -42331 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -26.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -16\/5 (b) -0.3 (c) 0.4 (d) -5.3 (e) 3\/7 (f) -0.034 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911*l - 11 = -5*o - 908*l, 3*l = 2*o - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/23, -2, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1832 and 2376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 1)**2*1 + (5*(sqrt(208) + sqrt(208) + -1) - sqrt(208))**2.\nAnswer: -342*sqrt(13) + 17927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c64460 - -4d?\nAnswer: 1c644ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45006 = 67*j - 118340. Calculate the least common multiple of j and 46.\nAnswer: 2438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 15798 = -71254. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iaivavavvaivivvaavv?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -320045 (base 7) in base 2?\nAnswer: -1101011111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4910 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 12*i. Let r be 1\/9 - 3052\/252. Let v(w) = w**2 - w. Determine r*v(f) - c(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13)*(o**29*o)\/o)\/(o**(2\/15))**45 assuming o is positive.\nAnswer: o**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/3)\/(61\/(-183))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 21245*z - 721184. What is k(34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -132122132 (base 4) to base 14\nAnswer: -33582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282537332 by -5404.\nAnswer: 52283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 23. Let z be -2*i\/(-4) + 69. Suppose 0 = 7*x - 9*x + z. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6 times 7?\nAnswer: -60.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-202)\/404*5\/(170\/8)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/9 - 6\/27. Let v(c) = 3*c**2 + 3*c. Let m be v(j). Differentiate 5 - m*f**2 - 10 + 4 with respect to f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(20)\/sqrt(4) - sqrt(560)\/sqrt(7) - (1*-2*(sqrt(5) + sqrt(40)\/sqrt(8)))**2)*-3.\nAnswer: 9*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrfrrrrrrrrrrrr?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 16329.\nAnswer: -2\/5443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1536)\/(-4480)*4\/(-6).\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**3 - 13*d**3 - 17*d**3)*(-3*d + 2*d - d)*(-4 + 1 + 2) + 2*d**4 + 0*d**4 + 7*d**4 as o*d + p + s*d**4 + m*d**3 + g*d**2 and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 3*z**2 - 3*z + 1. Suppose -5*y = -2*n - 1, 0*n - 9 = -3*n - 3*y. Calculate j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**4 + 2*i**4 - 3*i**4)*(0 + 0 + 1) + 1 - 1 - 2*i**4 + 8*i**4 + i - 10*i**4 + 4*i as l*i + w*i**2 + t*i**4 + g + c*i**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -50822679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/10 + n**4\/3 - 5*n**3\/6 - 93*n. Let u(q) = 4*q**3 - 7*q**2 + 9*q. Calculate -7*d(l) - 4*u(l).\nAnswer: -2*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1859785, -1859784, -1859783, -1859782, -1859781?\n\"Answer: p - 1859786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 291.787 to one dp.\nAnswer: 291.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1140 and 0.3?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**3 + 14. Let m(q) = -134*q - 5 + 61*q - 3*q**3 + 73*q. Calculate -5*c(p) - 14*m(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.35 + -8.33564. Round w to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prrojrrpr. What is prob of picking 3 r?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3721*o**3 + 8966*o**3 + 3027*o**3 + 8311*o**3 + 8248*o**3.\nAnswer: 32273*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -260\/2061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2358*o + 617*o + 51028 = -25576 for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122.1 - -128. Let j = r - 6.1. Let y = 0 + -0.1. Which is the nearest to -2\/5? (a) y (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3614807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -120, -274, -452, -654, -880, -1130?\n\"Answer: -12*v**2 - 118*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352560 and 3455088.\nAnswer: 17275440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2431.91 rounded to the nearest 10?\nAnswer: -2430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/636 and 119\/7165176.\nAnswer: 7165176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -537*m**2\/2 - 706*m + 596. What is the first derivative of p(w) wrt w?\nAnswer: -537","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*l**3 - 8*l**2 + 4*l wrt l.\nAnswer: 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*4*10\/8. Suppose -12*z + 8*z = 12. Which is greater: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 32. Suppose 0 = -z - 3*z + q. Is (-8)\/z + (-2236)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 5) to base 16\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -201*w**3 + w. Let b be a(-1). Let f = 58 - 33. What is the highest common divisor of b and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1464 and 957822.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/2128*4*3\/9.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 3:37 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5415 is divided by 258.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 5, 0.035, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*t**2 + 269*t - 269*t as o*t**2 + v*t + a and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2054 divided by 14?\nAnswer: -1027\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d - 12. Let a(i) be the third derivative of i**4\/24 + i**3\/6 - 4*i**2. Let c(l) = -5*a(l) - u(l). Let m be c(-5). Solve m*k - 12 = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1624*j**3 + 24 + 100 - 1883*j**3 + 26 - 150.\nAnswer: -3507*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - q - 4 = -4*y, 0 = 3*q + 4*y + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, 116, -1, 0 in ascending order.\nAnswer: -10, -4, -1, 0, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 4 = 4*d. Let o = 10.4 + 3.6. Let k = o - 10. Which is the second biggest value? (a) 2\/3 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331787*g**2*m**3*v + 22*g*m**3*v - 6*g*m**3 + 2*g*v - 13*g - 4*m**3*v wrt g?\nAnswer: -663574*m**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6) + (0 - (-9)\/6). Let d be 6 + -4 + 2 + 0\/h. Solve -10 = -d*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 6*u - 6*u**2 - u**3 - 1 + 2*u**3 - u. List the prime factors of c(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4045137\/280 + -14447. Find the common denominator of 9\/800 and k.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215348.\nAnswer: 2, 7, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + g + g + 2)*(-3*g**2 + 3*g**2 - 4*g**3) to p*g**4 + t*g + f*g**3 + s + l*g**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -181, -425, -755, -1165, -1649?\nAnswer: -2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -494020 and -10.\nAnswer: 4940200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 1405 = 125*y + 771 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14199210 to the nearest one hundred thousand.\nAnswer: 14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v**2 - 4\/3*v**3 + 0*v - 1. Let r(g) = 2*g**2. Give -6*l(s) - 11*r(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326 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: Let h = -2871 - -2859. Which is the closest to 2\/7? (a) -31 (b) 1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2) - -1)*-2. Calculate the lowest common multiple of (45\/(-25))\/(y\/10) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybzr when four letters picked without replacement from rbzyr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.071 - -92.929. Let m = -92.5 + z. Let d be 22\/18 - 3\/3. Which is the third smallest value? (a) -1 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 296*n**3\/3 + n**2 + n + 2. Let h be x(-5). Let g = h + -16791. What is g rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/1 + ((-275)\/10)\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45300 and 12876525?\nAnswer: 51506100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {x: 10, w: 6, a: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45274 = -5*s + 4*v, -5*s - 5*v + 45268 = -8*v. What are the prime factors of s?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4236.6 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414592 and 1741024?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 6*d**2 - 2*d + 2. Let i be b(-5). Let r(q) = -3*q**2 - 1. Let n be r(-1). Is (5\/n)\/(2\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**3 - 39*c + 22. Let s(t) = -5*t**3 + 18*t - 12. Calculate -6*m(n) - 11*s(n).\nAnswer: n**3 + 36*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338 divided by 338.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1462909 divided by -6\nAnswer: -1462909\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.034 and 527777?\nAnswer: 527777.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**4\/12 - 13*b**3\/6 + 3*b**2\/2 + 1741*b - 2. Give c(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvqctvvjqqqvqt. Give prob of picking 1 c, 1 t, and 1 q.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4726 + 23252\/5. Let n = 76 + d. Let o = -2 - -1.6. What is the nearest to 2\/7 in n, 4, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d - 12 = 0, 4*d = 4*q - 104. Suppose -24*y + q*y - 12 = 0. Let h be 12\/(-9) - y\/9. Solve s + h = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 2e4963?\nAnswer: 2e4966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.1 - -85.7. Let t = s - 101. Put 5, -2, t, 2 in ascending order.\nAnswer: -2, t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(539)*-1 - sqrt(539)) + 5.\nAnswer: -14*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/1505*70\/52?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -19*c**2 - 37*c + 21. Let z(u) = -9*u**2 - 17*u + 11. Determine -6*s(f) + 13*z(f).\nAnswer: -3*f**2 + f + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/63 and -107\/56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 150505028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36 and -85\/1410028.\nAnswer: 1410028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5690\/(-1 + 11) + -1 + 5.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 + 2*o**2 + o + 2. Let i(m) = 2*m**3 + 3*m**2 + 3. Let j(l) = -4*i(l) + 3*q(l). What is the units digit of j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, s: 2}. What is prob of sequence dds?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - (-45)\/10)*(-2)\/3. Suppose 3*u = -3*b + 30, m = u - 5*b + 15. Suppose -3*l + 513 = u*l. List the prime factors of l.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1207 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 81 = -5*g - 66, 0 = -5*k - g - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-114)*(-9)\/(-6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725.762 meters to micrometers.\nAnswer: 725762000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 94 = 5*l. Let f = 42 - l. Is ((-22632)\/15)\/(-4) - f\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + -0.49. Let o be 0\/(8\/4) - -3. Put -1\/4, o, h in decreasing order.\nAnswer: o, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3382*c**3 + 2 - 20858*c**3 - 2.\nAnswer: -24240*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -269.9 + 270. Which is the closest to -36? (a) 2 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 14*m + 3. Let f be u(-14). Let l be (-2)\/5 - (-276)\/115. Solve 0 + 1\/4*x**5 + 3\/2*x**f + x**l + x**4 + 1\/4*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000623 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1157 + 1159. What is the third biggest value in 24, 0.04, d?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -374*i**3 + 5*i**2 - 13*i - 1897258 wrt i?\nAnswer: -1122*i**2 + 10*i - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*sqrt(38)\/((sqrt(2) + -2*sqrt(8) - sqrt(2)) + sqrt(2) + sqrt(2)) + (-1 + sqrt(684) - 2*sqrt(171)))**2.\nAnswer: -6*sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -6 in increasing order.\nAnswer: -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:51 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 19*k + 45. What is the lowest common multiple of 55 and z(19)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*t + 2*t**3 + 359*t - 93*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 1, l: 4, m: 3, d: 2}. What is prob of sequence ild?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + r**2 - r**2 - 3*r**2 to g + l*r + o*r**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1332.67372+1982.97\nAnswer: 3315.64372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 1305.0146.\nAnswer: -1267.0146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 16*z - 36. Let l(y) = 4*y**2 + 68*y + 123. Let h be l(-2). Calculate n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -58168*c - 1460. Let i be j(30). Round i to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 56*t - 116. Is 21 a factor of p(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5620503 (base 9) to base 6\nAnswer: -144500433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 1\/6*b**3 + 0 + 0*b**4 + 0*b + 1\/60*b**5 + 7*b**2. Determine h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klak when four letters picked without replacement from {a: 1, k: 2, l: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 + 197178?\nAnswer: 197179.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + -9 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.72852 - 45.95562. Let j = n + 0.0271. What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -6. Let f = i - 22. Solve 5 = f*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - r - 162, -162 = 4*d - d + 3*r. Let t be d\/15 - (-1 + -3). Which is bigger: t or 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 * 11.3\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3615892 or -3615893?\nAnswer: -3615893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14453197 or -43359587\/3?\nAnswer: -43359587\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*w**3 - 944*w wrt w?\nAnswer: 276*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -15352*j + 84. Let c be z(-8). Round c to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -4. Let s = x + -11.9. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + -64. Let y(f) = 2*f**2 + 25*f + 20. What are the prime factors of y(p)?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 471 + -147753?\nAnswer: -147262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/12 + 11*r**3\/6 + 6*r**2. What is the first derivative of o(c) wrt c?\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2692394 in descending order.\nAnswer: 2692394, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 - 654*i**2 + 22829*i = 0. What is i?\nAnswer: 0, 37, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18931480 to the nearest integer?\nAnswer: 4351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7506998 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.84 + -36.16. Let n = -45.6 - p. Round n to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49129979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 1 - (103 + (-98 - 24)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 379.\nAnswer: 3032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**4\/4 + 5*t**3\/3 + t**2\/2 + 7*t - 5. Let b be s(-5). Solve 0 = a - b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (0 - -64) + 0 + -3.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -3*d**4\/5 + 128*d**3\/15 + 94*d**2\/5 + 48*d\/5 + 569. Solve f(z) = 0.\nAnswer: -1, -1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2028717480 and 6872.\nAnswer: 6872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32315 and 805.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 100 + 52 + k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(102\/(-64)) - 2. Let s be -2 + 3 - -1 - (-6)\/(-3). Which is bigger: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*l = 163, -747550*f + 747553*f + 3*l + 159 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 3. Let c(x) = 7*x - 7. Let l = -35 + 27. Let b be 48\/9*(-18)\/l. Let r(s) = s**3 - 11*s**2 - 13*s + 8. Let h be r(b). Give h*c(t) - 9*q(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 93*b**2 - 33491*b + 3993. Calculate w(360).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 + -163. Let o = -6.03 + 0.03. Let b = -4 - o. Put b, 4, c in descending order.\nAnswer: 4, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 50 = -6*a + m, 4*a + 5*m = 40. Let s be (a\/(-20))\/((-1)\/6). Solve -3*q = 2*o - 6, -q + 3*o - 2*o - s = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 46*f**6\/3 - 133*f**2\/2 - 26. What is the second derivative of b(z) wrt z?\nAnswer: 1840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5 + 166*y - 166*y - 3*y**3 wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -333, 33, -1 in descending order.\nAnswer: 33, -1, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0747*1\nAnswer: 0.0747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 2*a + a. Suppose 3*p + 102 = 3*l - 0*l, 3*l - 5*p = a. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 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: Let u(y) be the second derivative of 9\/5*y**2 + 1\/30*y**4 - 2\/5*y**3 + 6*y + 0. Solve u(v) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27009 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 183208 times 3\nAnswer: 549624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(84)\/(sqrt(96)\/sqrt(8)) - 6*2*sqrt(252)).\nAnswer: -142*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87723*a**2\/7 - 8208*a\/7 - 192\/7 = 0. What is a?\nAnswer: -8\/171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w = -15. Suppose -2*k + 16 = 4*q, 2*q + 5*k - 6 = 2. Solve 0 = 4*f + f + 5*b, w*f + 5*b + q = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 1. Suppose 4*c = 2*b + 82, b = -4*c - p + 73. Suppose -3*o + c + 12 = 0. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 224?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 839, 1442, 2261, 3368, 4835, 6734?\nAnswer: 9137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93, -67, -41, -15?\n\"Answer: 26*q - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 26 - 1) + 3 + -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4295 + 4359 - (1 - -21)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 1000121?\nAnswer: 1000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(3 - (-4)\/(-8)). Let k = r - 5. Let u = k - -6. Which is the second biggest value? (a) 0.2 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 59*x**2 + 134*x - 1085. Let v be s(8). What is the greatest common factor of v and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -223*t - 73832. Determine f(-330).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9090760 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -22. Let b = -40 - -45. Suppose -4*g + 13 = -b*g. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**2 - 3*j**2 + 6*j**4 - 5*j**4 - 7*j**2 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15511 in 0, 2\/15, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6))**18)**(-25) assuming q is positive.\nAnswer: q**2700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 6)\/((-17)\/((-2295)\/129) - 1).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - p**2 + 1. Let j be m(2). Suppose -2*a - t + 41 = 0, -6*a + j*t = -5*a - 15. Calculate the lowest common multiple of 6 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 s when three letters picked without replacement from {h: 5, x: 4, s: 2, i: 1, p: 1, a: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4432 - 1475857\/333. Let s = 136\/111 + c. What is the common denominator of s and 23\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -0*p - 18. Suppose 26 + 34 = p*c. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*v + 67 = 0, 643*v + 206 = -7*y + 644*v for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -367\/1083 + 2\/361. What is the smallest value in j, -2\/3, 76?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 638 and 62002?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4677664 divided by -127?\nAnswer: -36832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1035, -1042, -1049, -1056?\n\"Answer: -7*f - 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 43386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 3:52 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 + 5 = 0. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:22 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 12:18 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:40 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 373 - 370. Find the second derivative of -35*k**5 + 20*k - 76*k**3 + 76*k**w + 23*k - 2*k**4 wrt k.\nAnswer: -700*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09 times 4?\nAnswer: -4.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 944328 divided by 876\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/2 - 645843*f - 417113180649\/2 = 0. Calculate f.\nAnswer: -645843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3644899584?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -274\/75 - -256\/75. What is the nearest to -0.2 in -2\/9, -2, z, -3\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5439142.79 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -32. Suppose 26*y - n*y = -8. Let w(j) = -3*j**3 - j**2 + 3*j + 1. Give w(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70 - 3168*b + 2 + 3170*b + 3*b + 2*b + 3*b + (-2*b - 5*b + 6*b)*(1 + 2 - 1) + b + 2*b - b.\nAnswer: 10*b + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7770882*k**2 + 4014864 with respect to k.\nAnswer: 15541764*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:04 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 34026*j + 34037*j + 16 - 2*j**2. What is t(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 997, 996, 995?\n\"Answer: -r + 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 348610894*k**5 - 332*k**2 - 24*k - 348?\nAnswer: 20916653640*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13.34111l?\nAnswer: 13341.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v = -3176 - 17935. Calculate the highest common divisor of 6 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1\/6, -1.2, 0.1, 0.4, 1\/5, -3\/37?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 3. Let l be (2 - 390\/(-6)) + -6. Let w(z) = 106*z - 50*z + 15 - l*z. Determine 11*g(d) - 2*w(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022367 rounded to four dps?\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2) + 69\/63. Suppose 0 = 5*y - z + 3, 5*y + 3*z + 5 = -6. Is j smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + -23)*(-1)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13022349 is divided by 579.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (-8 - (-7 + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153726495 by -10248433.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -49*k**2 - k + 1. Let m be q(1). Let r = 108 + m. Suppose 5*i - 4*z - 45 = -6, 5*i + z - r = 0. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0.1. Let z = 126.8 - 126. Which is the biggest value? (a) -0.1 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1687340.\nAnswer: 2, 5, 239, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:26 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 487069217?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1165\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1176908793*i**3 - 874926653*i**2?\nAnswer: 7061452758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 139 - 13 = 0. Which is bigger: -16 or a?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 411*t - 5*t**3 - 412*t - 5*t**3. Calculate j(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 134879241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5719, -11452, -17205, -22978?\n\"Answer: -10*u**2 - 5703*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 707 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((sqrt(972) + sqrt(972)*-3)\/sqrt(6) + 5)*-6) + 3.\nAnswer: -324*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 157663 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 36\/(-8))\/(-1)*-9502 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5161892467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7709952 by 128.\nAnswer: -60234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 480*y**2 + 0*y - 475*y**2 - 4*y - y - 30.\nAnswer: 5*(y - 3)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**14*j)))\/j**(-1)*(j\/j**(-2\/5))**(-19) assuming j is positive.\nAnswer: j**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5)\/l)\/l)**43\/(l**(-2\/3))**19*((l*l*l**(3\/7)*l)\/((l**(-2\/3)*l)\/l))\/(l*(l*l**2)\/l*l**(-1)*l) assuming l is positive.\nAnswer: l**(-8488\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/441*(-63)\/(-84).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)*k*k\/(k*k**(3\/2)\/k)*k)\/(k**(1\/4)*k*(k*k**(-8))\/k)*(k*k**(-1\/3)*k)**(-23)*k**5*k*(k*k**6)\/k assuming k is positive.\nAnswer: k**(-313\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Suppose -2*i + 6*i = -h + 8, 0 = 4*i + t*h - 8. Suppose -77 = 5*j - 2*s - 271, -2*j - i*s + 72 = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (1 - -6) - -50?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7039*t + 7355*t = 359850 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 553*t + 4 - 1 + 10 - 550*t to the form x*t + q and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 11*a**6\/120 - 17*a**5\/60 + 17*a**4\/24 - 8*a**2. Let j(k) = 2*k**3 - 3*k**2 + 3*k. Give 34*j(v) - 6*l(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 511, -6, -7830 in increasing order.\nAnswer: -7830, -6, 4, 511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 966321258?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**2 - 1\/12*g**4 + 1\/210*g**7 + 2*g + 0 - 3\/100*g**5 + 1\/150*g**6 - 1\/15*g**3. Factor m(a).\nAnswer: a*(a - 2)*(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30761*c**5*q - 6*c**4*q**3 - 55*c*q**2 + 8827*q**3 wrt c?\nAnswer: -615220*c**3*q - 72*c**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21075?\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*d - 2256, 17 = -4*o + 9. List the prime factors of d.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 + 48*j**2 + 50*j**2 - 97*j**2 in the form z*j**3 + o*j + x + l*j**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-29 - -24) - 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -146*y + 2352 + 1298. Solve -3*r + 3*b - 19 = -y, 0 = -4*b - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.368 less than 0.1?\nAnswer: -5.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:09 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7257867.7000003 + -7257868. Let l = 6200 - 6200.3. Let x = l - h. What is x rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.210788 - 0.010788. Let m = -1\/5 - -7\/10. What is the nearest to m in v, 23, 5\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1695*f + 910*f**3 - 1695*f + 2*f**2 + f - f**3 - f + 0*f**3 + 2*f**3 - f**3 + (-f - 2*f**2 + f)*(-3*f + 6*f - f).\nAnswer: 906*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5)\/5 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2323 divided by 1\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1233629*t**5 - 1213*t - 975?\nAnswer: 24672580*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*n - 210. Suppose 14*x = 9*x + n. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 - 10 = 0, 0 = 4*z + i - 9. Suppose z*o = 29 + 7. Let c = 4 + 0. What is the greatest common divisor of o and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhvvvvhrvrhbvv. What is prob of sequence rr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*f - 3 + 41*f + 41*f + 355*f**2 + 42*f + 43*f as l*f + g + h*f**2 and give h.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -28*w + 62. Give h(6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*s - 16 = 0. Let f(n) = 2*n**s - 12 - 9*n - 7 + 1. What is the tens digit of f(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2739\/(-22))\/(2\/(-4)). Suppose 3*m + 4*x = m + 166, 3*m - 4*x = i. Suppose -397 = -4*r - r + 2*c, -4*c - m = -r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110000010011001 (base 2) in base 7?\nAnswer: 2500620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**2 - 12*o - 2. Let w(v) = 7*v**2 - 11*v - 2. Let h(u) = -6*i(u) + 7*w(u). What is the remainder when 141 is divided by h(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 2*n = -11*d - 14, -3*n + 8 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160405880 a multiple of 8994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 405*x - 197*x - x**3 + 0*x**3 - 174*x.\nAnswer: 2*x**3 + 34*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, 12, -3, 554, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n. Let r be i(2). Let y(j) = -4*j - 4. What is y(r)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2641279655.0027 - 2641124426. Let t = o - 155196. Let g = -33 + t. What is g rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 1 + 1)*(5*l**2 + 2*l**2 - 34*l**2).\nAnswer: -54*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*h - 13, b + 4*h - 12 - 1 = 0. Let d be b - -4 - (2 + -2). Let m = d + -3. Solve -3*z = -m*z + 5*j - 15, 2*z + 3*j = 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*p**3*z - 263673*p**3 + 275*p**2 - 1683*p + 8*z wrt p?\nAnswer: 126*z - 1582038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-60)*-5*4\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 - 30. Let l = -104 + 193. Let x = h + l. Sort x, 5, 0.5 in decreasing order.\nAnswer: 5, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-3))\/1 + 2 + 3. Suppose -137*q + 81*q - 25*q**2 - 15 + 91*q + 5*q**v = 0. Calculate q.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 14*b = -1716. What are the prime factors of (-14)\/(-42) + b\/3?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -73, -3, -1.\nAnswer: -73, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*p - 168 - 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y + 8. Give k(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.57 - 20.27. Let k = -0.5 + -0.1. Let t = 1.4 - k. Sort 2\/3, t, q in ascending order.\nAnswer: q, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9351 (base 10) to base 3.\nAnswer: 110211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 2124?\nAnswer: -2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/27 + 1534\/18. Let d = 7 - i. Calculate the remainder when d\/4*6\/(-9) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -48*h + 143. Let p be x(3). Let j be 4 + -3*(-1 - -2). Suppose -27 = -3*w + 3*s, 0*w - 2*w + 3*s = -18. Sort p, -5, w, j in ascending order.\nAnswer: -5, p, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*q - 9*v + 28 = 0, -109 + 102 = q + 2*v for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304807?\nAnswer: 304807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, 27, -2\/5, -2, -6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 10 = -3*o, -3*o + 2*j = -2*o + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - -1*sqrt(792))\/(2*sqrt(55)\/sqrt(5)) - (sqrt(2) + 3*sqrt(288) + (sqrt(20)*2)\/sqrt(10)).\nAnswer: -71*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/2 + 69510*z + 139026.\nAnswer: -3*(z - 46342)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-3*(-2)\/(-3)). Suppose w*m = 29 + 11. Suppose 1 = m*h - 29. Let u(t) = t - 8. What is u(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 7. Let w(o) = -12*o + 82. Determine 22*j(m) - 2*w(m).\nAnswer: 2*m - 318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -101749888, -101749886, -101749884, -101749882?\n\"Answer: 2*b - 101749890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25 + ((-9)\/(-3) - 3). Suppose 5*f + a - 70 = 6*a, 0 = 5*a + t. Let o = f + 2. Calculate the highest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -4, -0.45, 1\/3, -0.017?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -76592 (base 11) to base 12\nAnswer: -5440b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 o, and 1 q when three letters picked without replacement from {h: 2, q: 1, l: 1, c: 1, o: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b**3 - 1202 + 1202 - 21*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 14*s**2. Let q(o) be the first derivative of 0*o**3 + 14 + 1\/12*o**4 - 11*o + 0*o**2. Let k(i) be the first derivative of q(i). What is k(p(b))?\nAnswer: 196*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -7577 and 254840.6.\nAnswer: 247263.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 312 = -316 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, -206, 34, 0 in decreasing order.\nAnswer: 34, 0, -4, -12, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.3 + -27. What is the second biggest value in x, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 12*w**2 + w + 2. Let c be q(12). Suppose 4*z = -3*t - 0*t + c, t = 2. Let m be 4\/(-6) - 8\/(-3). Is z bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15339863?\nAnswer: 7, 11, 41, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29010 + -20?\nAnswer: 28aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8 + 17 + 2*l - 10*l + l**2. Suppose 3*a - 5 = -h + 17, 17 = 3*a - 4*h. What is the lowest common multiple of x(a) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eii when three letters picked without replacement from vjeijzsi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35557466, 71114938, 106672410, 142229882, 177787354?\n\"Answer: 35557472*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24463910.\nAnswer: 2, 5, 241, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3252002 - 1202?\nAnswer: 3250500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/24 + 59*q**3\/6 - q**2. Is u(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -b - 10, -2*b = -3*x - 0*b + 11. Suppose -x*m + 4*j + 1497 = 0, -m - 115 = -j - 615. Round m to the nearest ten.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 6*t. Let b be r(-6). Sort b, -5, 3 in decreasing order.\nAnswer: 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-3 + 5 - 3)*(42*z - 42*z - 29*z).\nAnswer: -58*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*c + 99 = 0, -2*v - c = 41 + 16. Let f = -18 - v. What are the prime factors of (9\/f)\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2685 a factor of 88191510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**3 + 4*w**3 - 2*w**3 - 12. Let s(q) = 9*q**2. What is s(y(g))?\nAnswer: 81*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16432, 16419, 16388, 16339, 16272, 16187, 16084?\n\"Answer: -9*j**2 + 14*j + 16427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 10 = x, 11*p + x = 7*p. Sort -24, -19, 0, p, 1 in ascending order.\nAnswer: -24, -19, p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.80806 from -12.2.\nAnswer: -16.00806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 2*k - 3. Let c be s(5). Let f = 26 - c. Let w = f + -255\/4. Put w, -4, 4\/9 in descending order.\nAnswer: 4\/9, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*p - 9. Suppose -12 + 232 = p*f + 2*v, 5*f + v - 275 = 0. Suppose -13*d + 5*d + 120 = 0. Calculate the remainder when f is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*v = -7*v + 1062, -g = -5*v + 343. What is the hundreds digit of g\/(-3) + (-34)\/(-51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6288206 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -910*l - 22758. Give h(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/5, 1\/6, 1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71*182.44.\nAnswer: 12953.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 620 + 6?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Let t(z) = z**2 - 6*z + 7. Let p be t(o). Suppose -4*w = -2*h + p, -3*w + h = -2*h + 6. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0079 times -0.15221\nAnswer: -0.001202459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -18, -5012, 1, 0, -141.\nAnswer: -5012, -141, -18, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4145 - -5001. What is the remainder when v is divided by 60?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 7*u - 52741. Let h be ((-4286)\/(-4)*2)\/(-1). Let g = u + h. What is g rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 360.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.197 + 25.197. What is the second smallest value in 2, -1, p, 4, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, h: 1, t: 1, r: 1, e: 1}. What is prob of sequence hrx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 0 - 24)*(-529*c - 426 + 426).\nAnswer: 8464*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 3. Let h be b(3). Let n = h - -11. What is the third derivative of -2*q**3 + 14*q**2 - 12*q**n + 5*q**3 wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 55 = 5*f. Let x = -29 + 38. Let y = x + f. Solve 0 = -2*v + y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1673857*c**3 + 70*c**2 - 70*c**2 - 1671940*c**3.\nAnswer: 1917*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48339, -95922, -143505, -191088, -238671, -286254?\nAnswer: -333837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 + 40*q**2 + 53*q - 380. Determine u(20).\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8*h = 387. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 117*c**2 + 57*c + 170. Determine q(-3).\nAnswer: 1052","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-30) - 301\/(-105). Let y be (-24)\/16*(-22)\/v. Suppose -5 = -4*d + y. Solve 3*p - 7 = -4*q, d*q - 2*p - 1 - 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (0 - 0) - -3. Suppose -p*c = -c. Solve c*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 s, and 1 b when three letters picked without replacement from {b: 2, w: 1, l: 2, q: 2, s: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21715915811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1322 - -5006. What is the greatest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-312 - -313) + (0 - -29 - 0) + -3\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -32, -11, 18, 55?\n\"Answer: 4*z**2 + z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -124, -2\/19, 5.04?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3.999916. What is x rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25150, -25200, -25304, -25468, -25698, -26000, -26380?\n\"Answer: -i**3 - 21*i**2 + 20*i - 25148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 2*a - 6. Let v(c) = -c**3 - 3*c**2 - 3*c - 7. Let q(l) = -6*r(l) + 4*v(l). What is the derivative of q(k) wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 + -4.9. Let c = -21 - -17. Let d = f - c. Sort d, -0.1, 1\/3 in increasing order.\nAnswer: -0.1, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 4*s**3 - s**3 - 5*s**3 + 2*s**2 to i*s**3 + h + z*s**2 + r*s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.1 (c) 0.33 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4 + 15*y**2 + y - 7*y**2 - 7*y**2. What is the lowest common multiple of k(-3) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30451, 60618, 90503, 120106, 149427, 178466, 207223?\n\"Answer: -141*y**2 + 30590*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88.134 - 88. Let v = r - 0.061. Is -1 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/(-3)*(35 - 38). Let n = m - 38. Let s(p) be the first derivative of -p**3\/3 - 3*p**2 - p + 3. Determine s(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(1\/2)*b**(33\/7) assuming b is positive.\nAnswer: b**(87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 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: Find the first derivative of -88698369*j**3*q + 160279186*j**3 wrt q.\nAnswer: -88698369*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 36*m + 12661. Is h(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135282501.\nAnswer: 3, 5010463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-7)\/(28\/(-40)). Let k be -4 + 4 + u*2. Solve 0 = -10*f + 5*f - k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 21*x**2 + 59*x - 42. Let u(i) = -8*i**2 - 21*i + 14. Let h(z) = -3*r(z) - 8*u(z). Calculate h(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 486*w - 21405. What is h(-41)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*f + 18. Let z(y) = -y**2 - 3*y + 7. Give z(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21547 + -45891.72?\nAnswer: -67438.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 89068?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4, 9, 3, 8167, -5.\nAnswer: -5, -4, 2, 3, 4, 9, 8167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.67 - 0.47. Let r be (-2)\/(-6)*(-3)\/(-4). Let v = -0.1 + 0.1. Which is the closest to r? (a) -2 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1326 - 1290. Calculate the remainder when z is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 + 152*r + 146. Determine w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 2*b - 3*b + (-5 + 4 + 0)*(b - 2*b - b) + 0*b + 5*b - 4*b - 5*b + 4*b + 2*b - 6 + 1 - 27*b + 3.\nAnswer: -24*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(5\/3))\/k*k*k**(-2\/3))\/(k**4\/(k\/((k**(-7\/4)\/k)\/k))) assuming k is positive.\nAnswer: k**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1545 = -10*a + 1695. What is the highest common factor of a and 685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -842*n + 229032. Determine r(272).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70673 - 71321. Let t be (-1)\/(-21) - (-4)\/(-12). Is o smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 a factor of 53371000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64\/37 + -12123\/7030. Find the common denominator of n and -107\/180.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 250\/133 + 5\/19. Are t and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - g + 85 = -2*k, -2*k - 5*g + 34 = 0. What is the highest common divisor of k and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + z - 10*z - 5*z + 12*z + (-2 + 3 - 3)*(-z + z + 3*z) - 4*z + z + 4*z)*(-3 - 1 + 2).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 1. Suppose -26 = 9*i + 4*i. Give d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:11 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 64*i**5 - 2903648*i**4 + 32971255588*i**3 - 838916417764*i**2 + 413276279936*i - 51401958400 = 0.\nAnswer: 1\/4, 25, 22672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4042750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 2*x - 16*x**2 + 15 + 14 - 92.\nAnswer: -16*x**2 + 2*x - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (930\/(-25))\/(3\/(-15)). Suppose -f - 230 = -y. Are f and -45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30230026997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-8))\/((-6)\/(-24)). Let h = 1 + i. Suppose 55 = -2*l + 7*l - s, -h*s - 40 = -3*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2965 or 1328.5?\nAnswer: 2965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in 4, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3829528 to two decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 3)*(i + 0*i - 2*i + (i - i - 3*i)*(-4 + 7 - 22) + 2*i + 5*i - 6*i) as b + z*i and give z.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((15862\/(-1408))\/(-7))\/(0 + 3) and 79\/36.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11609, -23216, -34823, -46430?\n\"Answer: -11607*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1 + -2 + 3. Let x(l) = l**2 + l. Let c(k) = -2*k**2 + k - 1. Calculate b*c(m) + x(m).\nAnswer: 3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110000 (base 2) in base 15?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 2 - (17 + -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2645?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 q, and 1 v when three letters picked without replacement from {q: 4, v: 2, h: 5}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 2. Let i be b(-3). Let a be (2 - i)\/(2\/20). Is (24\/a)\/(4\/(-30)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, o: 3}. What is prob of picking 1 d and 1 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14682573 and 4104.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*d + 14*d + 5655 = 45*d + 59*d for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 153763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {p: 2, x: 9, r: 1, q: 4}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41887 + 63587. Round w to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -89.74 and 1.\nAnswer: -88.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21476617207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(2\/7)*p)**14*(p**1)**(1\/13) assuming p is positive.\nAnswer: p**(599\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-5)\/(-40)*-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d = 8*d - 66500. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2)*(-1 + 3 - 1) + 2 + 2 - 3)*(-t - 6*t + 5*t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 10*b**2 - 8*b + 1. Let o be j(9). Suppose f - 3*m = -m + o, 4*m + 24 = 4*f. What are the prime factors of (-69)\/(-15) - f\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -79. What is the remainder when 205\/b - 13\/39 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*l**2 + 35*l**2 - 157*l**2 + 43*l**2 + 41*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 155424 (base 6) in base 14?\nAnswer: 590c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 284951480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnddddnddddd. What is prob of sequence ndn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.263529313 rounded to 5 decimal places?\nAnswer: 0.26353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n - 73*n = 10 - 35. What is the nearest to -13 in -3\/4, n, -8, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 0*v**3 + 0*v**2 - 1\/6*v**4 - 1\/5*v**5 + 2*v + 0. Find the third derivative of p(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 12*w**5 + 7810*w**4 + 14284*w**3 + 3894*w**2 = 0.\nAnswer: -649, -3\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21920816?\nAnswer: 2, 1370051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j = 89*j - 310 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - 3312. Let m = b - -33. Let i = m + 5484. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4936 - 1.5064. Which is the second smallest value? (a) 2\/19 (b) u (c) 9 (d) 27\/5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, -72, -338?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6890 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203595 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 389104589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 18154495373?\nAnswer: -18154495373.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(832) - (-1*sqrt(832) + 3))**2 + 2.\nAnswer: -96*sqrt(13) + 3340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + (3 - 4))*-23. Let x = u - -33. Let z be 5\/(-3) + x\/15. Is -4 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**3 + 9*l**2. Let m(a) = 2*a**3 + 4*a**2. Suppose 29*g = 47*g - 126. Calculate g*m(v) - 3*i(v).\nAnswer: -v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose -5*k = -i*y + 4 + 3, 5*k = -5. Suppose -h - 10 = 4*w, -4*h + 56 = -3*w + y. Solve 2 = -3*x - h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1404, 3181, 5470, 8271?\nAnswer: 11584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.564 * 11\nAnswer: 6.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 131014067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-130) + (2\/(106\/1))\/(51\/(-2754))\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -14*s**3 - 12*s**2 - 12. Suppose 118 = 4*k + 166. Let o(a) = -a**3 - a**2 - 1. Determine k*o(z) + t(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -321384 (base 10) to base 13\nAnswer: -b338b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0)\/((-10)\/25). Suppose 2*q - 3*k - 2*k = -56, 5*q - 5*k + 140 = 0. Let y = 63 + q. Calculate the highest common factor of a and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/7 - 2598*x\/7 - 432535\/7 = 0. Calculate x.\nAnswer: -157, 2755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 1*sqrt(85)*-1)\/(3*sqrt(20))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9716 + -9711. Solve -31*w - 4*j = -32*w - 8, -4*j = q*w - 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1584 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s = -17*s + 305 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5173, 3, 2\/13 in descending order.\nAnswer: 3, 2\/13, -5173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14979924 from 9.49.\nAnswer: -14979914.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085 minus -0.0792?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 7*t**2\/2 - 46*t + 41. Let a be r(7). Solve p = -a*g + 1, 2*g - 3 = -4*p + p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (532\/(-95) + 4\/(-10))\/(-5)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 3 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6658540 to the nearest integer?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 377030960 to the power of 1\/2, to the nearest integer?\nAnswer: 19417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - 16*s - 3. Let m be p(-7). Let g be -6*((-33)\/55 + m\/(-30)). Put 2, 10, g in ascending order.\nAnswer: g, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**2 - 37*o + 7. Let p(l) = -6*l**2 - 33*l + 6. Let q(t) = -2*m(t) + 3*p(t). Give q(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = -v, -1 - 7 = -3*a - 2*v. Suppose -11*d = 2*d - 3432. Let g = 265 - d. What is the closest to a in g, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16*1)\/(1 - 2). Let f(m) = 23*m**3 - 16*m**2 - 10*m - 5. Let o be f(0). Sort g, -4, o in ascending order.\nAnswer: g, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (0 - 0 - (-63)\/(-14)). Let y be (12\/(-40) + 0)*((-195)\/126)\/(-13). Is l at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47905 + -47904.9980227. What is b rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.99996 - 13. Round z to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80393 is divided by 40195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 264 + -262. What is the third derivative of -71*j**2 - 3 - 75*j**3 - 69*j**d + 129*j**2 wrt j?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(((-18)\/2)\/(-3))\/((-414)\/(-506)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1379, -951, -525, -101, 321?\n\"Answer: -d**2 + 431*d - 1809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = t - 4054 + 4062, -3*w + 28 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 8*q - 9. Let s(z) = z**2 + 5*z + 6. Let u be s(-5). Let o be j(u). What is the remainder when 2 is divided by (o\/(-12))\/((-1)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmlssmmsc. What is prob of sequence cm?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.393 and 0?\nAnswer: 0.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0\/(-11))\/(-5))\/3. Which is the closest to d? (a) 0.5 (b) -126 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 88 (base 12) to base 5\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003672 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 8\/133, 6, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u - 3. Let c(x) = -75*x + 0 - 7 + 84*x. Give -6*c(i) + 14*v(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 8:20 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -63970.9, -0.1, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/(2\/714). Suppose 5*a - 92 = b. Is a - 1\/1*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15724431, -15724424, -15724417, -15724410, -15724403?\n\"Answer: 7*x - 15724438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1\/4, 1\/4, -0.4 in increasing order.\nAnswer: -0.4, -1\/4, -0.05, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 9*x**2 + 4. Let w = 4 - 13. Let f be v(w). Suppose -28 = -4*j + 5*s + 11, f*j + 5*s - 9 = 0. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7479 and 36088945?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 448 and 14.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9839548 divided by -40828\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 220\/115 + 0 + -2. Are -1 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -12 + ((-61)\/122)\/((-2)\/4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 131.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 6*m**2 - 3*m + 5. Let t(l) = 26*l + 184. Let d be t(-7). Suppose -f + 3*h + 6 = 0, d*f = 5*h + 12 - 4. Calculate o(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 1 + 5*p + 4*p. Let i be l(-1). Let r = 8 + i. Put 4, r, 0 in increasing order.\nAnswer: 0, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 3 + 3 - -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 9*h**2 - 2*h - 8. Let r be ((-18)\/(-8))\/((-2)\/8). Let w be k(r). Solve 0 = -3*v - 2*i + 13, 5*i + 0*i = -3*v + w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*q + 22 = 0, 0 = 2*i - 2*q + 3*q - 3. Is 3 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21003 - 21007. Sort -2, u, -13, -1 in descending order.\nAnswer: -1, -2, u, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -2*q + 12, 4*c - 635*q + 8 = -634*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 376 - 815072?\nAnswer: -814585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Let h(b) = -3 + 0*b + l*b - 2 + 4*b. Let n(v) = 9*v - 11. Let x be (-6)\/(0 + (-2 - -1)). Give x*n(g) - 13*h(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18535.\nAnswer: 5, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 7*q**2 - 7*q - 8. Suppose -r + 20 = 2*k, 4*r = -0*r + 16. Let b be z(k). Solve -h - 5 = 2*v, 0 = 2*h + 3*v - b + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 - 11 = 0. Let j = 65 + -68. What is the third smallest value in j, a, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -5, 1, 12, 0.12 in increasing order.\nAnswer: -5, 0.12, 1\/8, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2040 + -13?\nAnswer: -2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, r: 4, m: 3, q: 6}. Give prob of picking 1 a and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 - -93. Sort d, 1, 3 in ascending order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoco when four letters picked without replacement from qqoqoqzqc?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24224 and 9868252.\nAnswer: 3028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.3 (c) -0.0393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 + (-5 - (8 - 16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (6 - (4 + 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/(-319)*-1*((-11)\/132)\/((-1)\/8).\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*m**3 + 816*m**2 + 1548*m - 384.\nAnswer: -3*(m - 32)*(m + 2)*(9*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1728989*y**3 + y**2 - 1 - 1728988*y**3 + 1. Let q(b) be the second derivative of b**5\/5 + 5*b**4\/12 - b. What is -5*m(g) + q(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -36749.\nAnswer: -3\/36749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 m when three letters picked without replacement from tttmmttmtmmm.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {h: 4, o: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112221002122 (base 3) to base 8.\nAnswer: 1075742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0*m**4 - 1\/4*m**2 - 1\/8*m**3 + 0 - 3*m + 1\/80*m**5. Suppose x(t) = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120800 (base 9) to base 3.\nAnswer: 10200220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 77.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 287c (base 16) to base 11\nAnswer: 7872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y**2 + 659*y - 42. Give l(-55).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*g - 6 = 0, 4*g = 3*m + m - 12. Let t(b) be the first derivative of 0*b + 3\/4*b**4 - 3\/2*b**2 + b**m + 4 - 3\/5*b**5. Factor t(l).\nAnswer: -3*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85136\/3 - -28378. What is the nearest to 0 in t, 768, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 - 18 + 4*s**3 - 3*s**3 + 2*s**2 - 96 to r*s**3 + l*s + u + m*s**2 and give u.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 8:47 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -35) + (16 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000561119275 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7018981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 8*v**2 + 11. Give s(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -15. Let s(p) = p + 2. Let q be s(3). Suppose 0 = -0*b - b + q. Sort u, b, 4 in descending order.\nAnswer: u, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 718. Let c be j(0). Suppose 5*d = -3*a - 610, c = -5*d + 4*a + 143. What is the hundreds digit of d\/2*((-8)\/(-4))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -16. Let x be (6 + 0\/(-6))*i\/8. Let a be (-4 - -4)\/(1 + -4). Solve a = 5*q + x*k + 35, 2*q + 0*k - 2 = 2*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.875113 rounded to two decimal places?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16996279 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {y: 7, i: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 17*k - 252. Let o be p(15). Let b(j) = j**2 - 3*j - 7. Let d be b(5). Suppose 4*m + d = 15. Calculate the greatest common factor of m and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b0c3 - 0?\nAnswer: -1b0c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 1, 459, 4 in decreasing order.\nAnswer: 459, 35, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24873087.\nAnswer: 3, 8291029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + w - w - 3*w. Let j(z) = 33*z. Let x(v) = j(v) - 15*u(v). Let m(y) = -31*y**2. What is x(m(g))?\nAnswer: -93*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001664528 rounded to seven decimal places?\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020688727 rounded to six dps?\nAnswer: -0.002069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z - 2, -4*z + 48 = -2*h. Let q be 1\/2*h\/(-24). Which is the second smallest value? (a) q (b) 5 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 2)*(b + 0*b + 0*b) + 2*b - 3*b + 5*b + 0*b + 5*b + 4*b + 7 - 7 - 2*b to the form j*b + k and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130) - (sqrt(130) + (sqrt(130)*1 - sqrt(130)))))\/((-2*sqrt(110))\/sqrt(11) + sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1817 - 2.1817. Let m = 1.21 - 1.01. Let a = 505\/6 + -84. What is the closest to o in -3, a, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459, 470, 481?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -52 (b) 5 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(-5)\/t)\/t)*t)\/((t**5*t)\/t)*t**(4\/13)*((t**3\/t*t)\/t)\/t assuming t is positive.\nAnswer: t**(69\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 529*p**2 - 25677*p + 848. What is c(64)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100.000067 + -100. Round m to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.99 - 1.79. Which is the closest to 7? (a) o (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161311, -322622, -483933, -645244, -806555?\nAnswer: -967866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 1)*(47*d - 105 + 105)*(0 - 3 + 0) to the form a + q*d and give q.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355825?\nAnswer: 5, 43, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 752 - 3315 = -3*z, 4*z + 4*n = 5424. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1548.6 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 9\/6)*4. Suppose -t*o + 8 = -o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*p**3*x**3 - b**2*p**2*x**3 - 15*b**2*p*x**2 + 90*b*p**3*x**3 - 10*p**2*x**2 wrt p.\nAnswer: 12*b**2*x**3 + 540*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (16\/24)\/(78\/9945)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppnwnpmpimnp. Give prob of picking 1 n and 2 p.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42941409 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-5))\/((-5)\/(75\/(-6))). Is d\/(-6)*-7*54 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*b**2 + 64*b**2 - 51*b**2)*((-2 + 2 - 1)*(-1 + b**2 + 1) + 2*b - 2*b - 2*b**2 + (-3*b + 0*b - 14*b)*(2*b + b + 0*b)).\nAnswer: 2052*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88930412.\nAnswer: 2, 19, 1170137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c**2 - 63*c + 2698. Calculate n(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 509*s**2 + 4676*s + 5195. What is v(-245)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**4 - 98490*d**3 - 98480*d**2 + 393960*d + 393952 = 0.\nAnswer: -49244, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, -0.1, 12, -409?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5103 and 165321.\nAnswer: 10415223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -458 + 496. What is the remainder when 262 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*10\/25*39. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 3*p - 3*p)*(3*p**2 + 0*p**2 - p**2) + (2*p**2 + 1 - 1)*(0*p + 0*p - 2*p**2).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**2. Suppose 3*o = d - 16, -4*d - 27 = 4*o - 3*o. Let x(p) = -p**3 - 7*p**2 + 2*p + 13. Let s be x(o). Determine k(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwppwpwwwwppw?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -14 + 11. Solve x*y + 3 = 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 963 + 851. Solve -5*h = -c + 31 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322311 (base 4) to base 5\nAnswer: -110030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6779095, 13558194, 20337295, 27116398, 33895503, 40674610, 47453719?\nAnswer: 54232830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2937 - 26?\nAnswer: -2960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -8*u**3 + u**4 + 3\/4*u**5 + 0 + 0*u + 1\/70*u**7 - 1\/5*u**6 - 7*u**2. Factor w(x).\nAnswer: 3*(x - 4)**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 12*k - 7. Let m be s(-11). Suppose 0 = -2*w + 6 + m. Suppose -4*t + 4*y = -37 + w, 0 = -t - 5*y - 22. Solve 11 = -4*z + t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4348*q + 5401*q - 4 + 2251*q)*(-1 - 2 + 5).\nAnswer: 24000*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/18 - 23\/(-2). Suppose z = -z + 6, -5*q - z = -o. Let y = -16 + 11. Put y, -0.5, q in ascending order.\nAnswer: y, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 5 (c) 0 (d) 452\/7 (e) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192084?\nAnswer: 2, 3, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 3*u**2 + 1. Suppose 0*n - 4 = -4*n. Let o(t) = t**3 - t**2. Suppose -3*b + 18 = 5*v, 0*v - 3*b = -2*v + 3. Give n*d(i) + v*o(i).\nAnswer: 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v + 54 = 0. Let r(m) = 18*m - 7. Let l be r(3). Let d = l - 14. Calculate the remainder when d is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 61*b**2 + 2093*b - 14703.\nAnswer: -(b - 13)**2*(b + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/170)\/(28\/(-119))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 761429326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = 4*m, -d = -5*m - 134. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 1024?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + 0.2. Let n = 0.03 + 3.97. Let y = -4 + n. Which is greater: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**4 + 30*y**3 - 36*y**2 - 103*y + 26. Let r(b) = 2*b**4 + 28*b**3 - 34*b**2 - 102*b + 28. Let j(a) = -14*k(a) + 13*r(a). Factor j(f).\nAnswer: -2*f*(f - 2)*(f + 1)*(f + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)\/sqrt(1200)*-3)\/(-6*(sqrt(192) - sqrt(192)*2 - sqrt(192))).\nAnswer: -sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056184 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.396 minus 0.3?\nAnswer: 5.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.83 + 4.37. Let c = n - -2.06. Sort c, -4, -0.3, -40 in increasing order.\nAnswer: -40, -4, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6731.\nAnswer: 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -70. Let d(u) = u**2 - u - 1. Let i(w) = -7*w**2 - w + 9. Let a(n) = -6*d(n) - i(n). Determine a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 7 - 3*j**3 + 4*j**3 - 3*j**3 - 6*j to g*j**3 + u + p*j**2 + s*j and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 689089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138161725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.53 + 42. Let l = -0.470000037 + b. Round l to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 9*v + 11. Let p = 19 + -9. Let q be x(p). Let l be 1*(3 - 0)\/3. Is l at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, n: 14}. What is prob of picking 2 w?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1083 - 1080. Solve -p*k - 8*k - 33 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + -0.09?\nAnswer: -38.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*l - 60*l = -91*l - 30*l + 5852 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -26*s. Let h(v) = v. Suppose -11*d - i - 15 = -7*d, 3*d - 2*i + 3 = 0. Give d*h(m) - u(m).\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, 4, 306 in increasing order.\nAnswer: -114, 4, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8094304?\nAnswer: 2, 19, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 1)\/(2\/10). Sort 5, o, -8.\nAnswer: -8, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-9)\/6*(-3)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.46 - 1.1. Let j = -57 - -52.84. Let d = j + p. Round d to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2362 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(1\/2)\/r))\/r)**(-31)\/((r**(-3)\/r*r)\/r**(-2\/3)))\/((r**(2\/5)\/r)**(-2\/47)\/(r**(-2\/3))**41) assuming r is positive.\nAnswer: r**(-19047\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -17 + (5 - -11) + -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 8. Suppose -5*x = -3*x + l. Is (0 + -6)*x\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297 and 9.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -239*a - 225. Let s be v(-6). Is 1209 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + (7 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-4)\/(-3)))\/(213\/142)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 0*d = -12. Let m be (-705)\/282*(3\/(-5) - 1). Sort 25, d, m, 1 in ascending order.\nAnswer: d, 1, m, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 207062, 207220, 207378, 207536, 207694?\n\"Answer: 158*f + 206904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:05 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180*p**2 - 119*p wrt p.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**3 - j - 4. Let b(n) = -n**3 + 1. Let a(k) = -2*b(k) - m(k). Let x be a(-1). Solve 3*u - 4*u = -x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4450424, 4450417, 4450412, 4450409, 4450408, 4450409?\nAnswer: 4450412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27329 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 886 + -888. Which is the closest to 9? (a) 1 (b) i (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -948 + 965. Calculate the remainder when 249 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a + 2. Let i be u(-13). Let w be i*((-75)\/(-9))\/(-5). Suppose 0 = -10*v + 5*v + w. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 2*w, -5*w + 1 - 4 = y + 7 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -24626*a. Let v(u) = 5*u. Determine z(v(m)).\nAnswer: -123130*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q + 55. Let p = -4 + 7. Let r be (-6)\/(-2*(-3)\/(-12)). Solve 0 = -p*i - l - r, 0 = 5*i - 4*l + 9 + q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((1888\/(-5133))\/(-32))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-10*c**5 - 5*c**5 + 0*c**5 + (-c**3 + c**5 + c**3)*(1 + 4 - 3) - 2*c**5 - 2*c**5 + 0*c**5).\nAnswer: 34*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/81*3)\/((-178)\/(-1869)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.9 + 65. Let i = 71.9 - b. What is the second biggest value in i, 6\/5, -5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12)*(-7)\/((-294)\/(-28))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2513 or 745?\nAnswer: 745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from vavyyvyyyyyavyvw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -88\/3*l**4 + 2*l**5 + 0*l + 0 - 10*l**3 + 0*l**2 = 0.\nAnswer: -1\/3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -547*n + 22792 = -510*n. What is the remainder when n is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 278493*y - 627. Let x(u) = 2*u. Determine q(x(w)).\nAnswer: 556986*w - 627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 10*r**2 + 20*r + 10. Suppose -31*o + 120 = -97. Give v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -915*s**2 - 841 + 0*s - 1309*s**2 - 461*s**3 + 0*s + 460*s**3 wrt s?\nAnswer: -3*s**2 - 4448*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhehuhuhuhhhhcuu. Give prob of picking 1 c and 2 h.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*j**3 - 163*j**3 - 372*j**3.\nAnswer: -746*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*b + 6772 = 0, -5*v + 2882 + 5548 = 2*b. Let m = v - -5432. What is m rounded to the nearest 100?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*f**2 + 12*f**2 - 499*f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwb when three letters picked without replacement from {w: 1, i: 1, b: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = 4*i - 124, 5*i + 330 = 5*j. Solve j*y = 62*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 10) to base 14\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 - 67. Let l(c) = -p*c**3 - 3*c + 21*c**3 - 4*c**2 + 11*c + 6. Let z = -16 - -11. Calculate l(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 + 6*h - 13. Let c be m(5). Let a = 61 + c. What is the units digit of (1\/a)\/(3 + 1034\/(-345))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 2*f - 18. Let w(n) = n. Determine o(g) - 2*w(g).\nAnswer: -2*g**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06 from -4070.\nAnswer: -4069.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51640129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.272 + -0.028. What is the biggest value in -0.05, -2\/15, 2\/15, i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v + 331. Give t(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6507, 13321, 20397, 27735, 35335, 43197, 51321?\n\"Answer: 131*n**2 + 6421*n - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/1360 - 20057\/4080. Find the common denominator of 43\/6 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 377906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.082 from 874444.\nAnswer: 874443.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 330 - 7?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*4\/16)\/(-1). Suppose 0 = -4*f + 3*f. Do t and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 65, -5, 2, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*g + 130498 = -686*g - 257*g + 21938 for g.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2068541 times 72\nAnswer: 148934952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 18.99978. What is f rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 3*n + 2. Let u be f(-3). Suppose 3*x - u = 1. Let d = x + 0. Solve -c - d = 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -2*n. Suppose n = 4*f + 27 + 25. Let w(l) = l**3 + 14*l**2 + 11*l - 1. List the prime factors of w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 + 2.07. Let r = -0.17 + -3.83. Let t be (-1)\/3*(-23 + 11). Which is the nearest to j? (a) -1 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44738?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f + f**2 - 3*f + (-2*f + 2*f + f)*(0 - f + 0) - 5*f**2 + 0*f**2 + 4*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/8)\/((-6)\/8). Let y = 0.5 - 0. What is the closest to -0.1 in -2, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 44. Suppose 4*g = 5*g. Suppose 1 = -o - b, 2*o = -g*o + 4*b + 4. Let c be s(o). What is c rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*-1*-3 + -4 + -1*-3*(0 + sqrt(468)).\nAnswer: -4 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 25)*(-77)\/1232.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-44)\/(-160)*-1 + 3 and -49\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 32\/(-12))*-3. Let s = 11 + -6. Solve -o + 4*o - x = -h, -s*h - 16 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*k**3 + 254*k**3 + 748*k**3.\nAnswer: 1372*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 11:26 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*h**3 + 62*h**3 - 124*h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 485 = 3*n, 2*n - 15*b = -16*b + 335. What is the remainder when n is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 50 = -15*t. Solve -3 - t = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 23429.62 decades?\nAnswer: 2342.962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*b**2 + 2*b**3 + 6*b + 43*b**2 - 2 - 2*b to z*b**3 + q + y*b + a*b**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2676.076 hours to microseconds.\nAnswer: 9633873600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306504*c - 960 = -306484*c for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -174319.\nAnswer: 174321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1576582 and 829780.\nAnswer: 15765820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 5*q - 2. Is i(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-8))\/((-6)\/((-144)\/(-10))). Solve -x + 4*x = g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15*2\/(-9)*3771\/6. Let r = -978 + o. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b. Let h(f) be the third derivative of f**5\/60 - 22*f**3\/3 - f**2 + 12*f. Give h(n(l)).\nAnswer: 4*l**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -50283 divided by 151?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:13 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 divided by 7?\nAnswer: -197\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b - 20101 + 25851 = 0 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/189 and -11\/7803.\nAnswer: 54621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - -5. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 280, 2400, 8154, 19360, 37836?\n\"Answer: 303*h**3 - h**2 + 2*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*k = -0*g, 5*g + 4*k = 0. Sort g, 4, 1 in ascending order.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3963.19844 to zero dps.\nAnswer: -3963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -251 - -254. Which is smaller: i or 22\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3787 + 4705. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 6*d**2 + 8*d - 3. Let u(b) = -b**2 + b. Let w(r) = -2*u(r) + v(r). What is w(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q - 747 = 3*u, -2*q - 251 = u. Let j = -112 - u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7885, -7884, -7883?\n\"Answer: n - 7886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -220.4 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -42495 and -127483\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 270, 302, 344, 396, 458?\n\"Answer: 5*r**2 + 17*r + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 255374285 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 941\/6 + -416\/3. What is the common denominator of -91\/2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**2\/7 - 18916*j\/7 - 89453764\/7 = 0.\nAnswer: -9458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Suppose 4*q - 18 = x, 5*x = -0*q - d*q + 20. Suppose 13*m - 43181 + 43246 = 0. Put x, 1, -3, m in decreasing order.\nAnswer: x, 1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -998, -2913, -4828, -6743, -8658, -10573?\n\"Answer: -1915*i + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3766578, 3766581, 3766584, 3766587, 3766590?\nAnswer: 3766593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 5649 (base 10) in base 13?\nAnswer: 2757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*g**3*q**2 + 2*g**3*q + 2*g**3 + 9*g**2*q**2 - g**2*q + 3*g**2 + 1 wrt g?\nAnswer: 564*q**2 + 12*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 b when four letters picked without replacement from bkmmbbkkmkbkkbmc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + 8 - (-6 - -8) - 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49872075 by 3355.\nAnswer: -14865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7313540 divided by -15899\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3708714107 to the nearest integer?\nAnswer: 60899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/3)\/((-4)\/2). Let c(a) = a**2 - a + 5. Let j be c(w). What is the third derivative of 0*k**3 + 6*k**j - 7*k**5 + 0*k**3 - k**2 wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/17)*k**(-24)*(k**(-36))**(1\/31) assuming k is positive.\nAnswer: k**(-13198\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25 - 4.25. Let l(z) = z**3 + 2*z**2 - 4*z - 3. Let h be l(-3). Which is the closest to h? (a) 1\/2 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 24 = 4*k. Let q be (32\/14)\/(k\/(-21)). Let n = 20 - q. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -163 - 0?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 23622 = -4*i - 4*u, i = -u + 23617. What are the prime factors of i?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2282 + 2346 = -16*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 7*q**2 - 11*q - 20. Is 15 a factor of p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51\/245 - 2\/245. What is the nearest to 2\/3 in 2, -3\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193173200 and 26400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 16 - -13) + -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 153. Let r = n - -94.8. Which is the nearest to 1\/4? (a) -0.5 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**20*c*c*c)*c)\/c)\/(c**(-21)*c) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*(-3)\/(-3)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -585 - -589. Solve -z*j + 10 = 3*h, j + h - 3*h + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -11.877987.\nAnswer: -11.577987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = a - 2*a + 2*w, -3*a + w = 112. Let i be (-12)\/(-21) - a\/154. Let k = i - 38\/33. Is -1 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -166 - -171. Suppose -r*h - 112 = -4*a - 7*h, -5*a + 2*h + 140 = 0. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 908 = -86*r - 38 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4*-2*0. Suppose s - 3*z = -14, 3*s = -k*s - z - 42. Let n = 23 + s. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3284 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i - 12. Suppose -6*y = g - 10*y + 23, -3*y = -g - 18. Suppose 3*f - 221 = -5*l, 5*l - 183 = 3*f + 26. Sort g, l, i in decreasing order.\nAnswer: l, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/((w*w**(-4)\/w*w)\/w))\/w*w**(-5)\/w)\/((w**(3\/2)*w)\/w*w**5\/w)*(w**(1\/4)\/w**(-4\/11))\/(w**(-2\/5))**(-3) assuming w is positive.\nAnswer: w**(-1339\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133626.\nAnswer: 2, 3, 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000374595 rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2431631?\nAnswer: 67, 36293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 10451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkrearreekar. Give prob of picking 1 q, 2 e, and 1 k.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6401299 litres?\nAnswer: 640.1299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177953991?\nAnswer: 3, 269, 220513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2450.9 and -0.2?\nAnswer: -490.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/10)\/(59994\/(-52722))\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 5:08 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7 = 3. Suppose -5*y = m*t - 360, y - t + 279 = 5*y. Suppose -4*r = 5*f - 142, y = 4*f - f - 3*r. Calculate the remainder when 128 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*t = 101, -3*b + 453*t = 441*t - 255 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 5. Let u be l(2). Suppose 5*s = s. Factor 0*h + 2\/11*h**5 + 0*h**u + 0 + s*h**2 - 2\/11*h**4.\nAnswer: 2*h**4*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*g - 3 = -75*g. Solve -g*i - 4 = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*((sqrt(90)*3 - sqrt(90)) + sqrt(10)))\/(-4*sqrt(20) + -5*sqrt(5)*3 + sqrt(5)).\nAnswer: -175*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16931\/19 + -891. Which is the nearest to -3? (a) h (b) 3\/7 (c) -5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -250?\nAnswer: 1\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {n: 16, v: 2}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59343 to two dps.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 10*w + 2. Let j be 22\/(-5)*(-15)\/6. Let o be p(j). Let z = -5 + o. Solve 4*q + 8*v + z = 3*v, 4*v = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2 + (1 - 1 + 1)*(7 - 2 - 4))*(399 - 399 - 2*y) as c*y + m and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 59320599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11276?\nAnswer: 2, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1593 - -1593. Let z(x) = 5*x + 1. Determine z(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - 71*l**2\/2 + 847*l - 5586.\nAnswer: (l - 114)*(l - 14)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 254?\nAnswer: 76.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/5 - 2072*m**3\/5 + 13568*m**2 + 296288*m\/5 + 304608\/5 = 0 for m.\nAnswer: -2, 38, 1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332111223220 + 10?\nAnswer: -332111223210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, -24, -28, -10, 42, 140, 296, 522?\n\"Answer: 2*b**3 - 7*b**2 - 7*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30\/13 - -872\/39. What is the common denominator of (-194)\/(-6)*(-15)\/50 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357532303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 4 (b) -1.03 (c) 0.5 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 33 = p, -3*v - 191 + 8 = -5*p. Suppose 3*t = 75 + p. Let a = t + -25. Solve -5*m = -32 + a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1422)\/36 + 35)*(-1)\/(-18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**13*(q*q**(-5))\/(q**0\/q) assuming q is positive.\nAnswer: q**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 17 + 13. Suppose -4*l = -4*z - 8, g*l - l = 16. Let s(a) = a**2 + 2 - z - 1. Calculate s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 40*r**2 - 83*r + 273. What is the least common multiple of 34 and s(38)?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 - 36*h**3 + 5*h**3 - 13*h**3.\nAnswer: -50*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 15. Let x = z + 1. What is the closest to x in 4, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - (-6 - -9)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 60*l**3 - 14*l**2 - 1. Let s(j) = -30*j**3 + 8*j**2. Determine -4*o(d) - 7*s(d).\nAnswer: -30*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 254, 246, 224, 182, 114, 14?\n\"Answer: -l**3 - l**2 + 2*l + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 86?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-111)\/(-2)*(4 + (-48)\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*v + 16, -2*v - 5 = b + 3. Suppose 3*k - 3*y = b, 5*y + 0*y = -k + 12. Suppose 5 = 3*x + k*x. Let h(d) = -2*d**3 + d**2 - d. Determine h(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -635, -1275, -1915?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53.829813 + -0.158687. Let l = 12.3 - 66.3. Let j = l - w. What is j rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose -6 = -4*v + 5*v. Let j(p) = p + 12. Let k be j(v). Solve -t = 4*i - k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 153. Let a = m + 194. Suppose t = g - a, t - 479 + 33 = -4*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2 + 285935*c + 347813 wrt c.\nAnswer: 4*c + 285935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1130 divided by -349.\nAnswer: 1130\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2542010 and 8398.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0549397036 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 7 = -o - 5*n, 14 = o - n. Suppose -343*t - 9 = -348*t + 11. What is the remainder when 2\/7 + 136\/o is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 18*n - 7*n + 15 + 9*n. Is x(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 577 - 4601\/8. Let j be -105114*(-1 - (-93)\/96). Let z = 3288 - j. What is the common denominator of w and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -1\/12*t**5 + 12 + 2*t**2 + 0*t + 49\/3*t**3 + 0*t**4. Differentiate r(i) wrt i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 3:07 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(28)*6.\nAnswer: 2 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -4.05652?\nAnswer: -0.3245216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 172. Let o = t + -78. What is the remainder when o is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 3*b**2 - 4*b - 2. Let k be -4 + 1 - (2 - 3). Let l be s(k). What is the third derivative of -2*c**6 - 3*c**2 + c**6 + 5*c**l wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-6048)\/2340) - (-8)\/1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Express 47*i**2 - 13*i**2 - 35*i - 63*i + 28*i - 36*i**2 in the form l*i**2 + p*i + f and give p.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567186 times -0.4?\nAnswer: -626874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8 + 10 = 0. Suppose -y = -4*n - 20, -y = 4*n - x*n - 10. Suppose 2*v - 98624 + 16624 = y. What is v rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/21 + ((-60)\/(-630))\/(2\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 15. Let y be p(4). Solve -1 - y = -4*d - 4*a, -8 = -2*d + a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n = -49*n + 1500. Let r be 15\/24*30\/n. Which is the closest to r? (a) 9 (b) -0.5 (c) -3\/7 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**2 - z**3 - 9 + 2*z**3 + 3*z - 3*z**2. Calculate the remainder when v(11) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5 + 4*a**4 + 16*a**3 - 36*a**2 + 18*a = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrrikfrrirkrrrf. What is prob of picking 3 k?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 880 by -11.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 852.4893 millilitres to litres.\nAnswer: 0.8524893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2. Let g = -5 - -7. Suppose -2*w = -3*q - 7, 0 = 3*q - 12 - 3. Let h(p) = -16*p**2 + 32*p**g - 16*p**2 - w*p**2. Give h(n(y)).\nAnswer: -275*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 (base 11) in base 9?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 1, 5, -3\/113?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3475 and 278.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 m when four letters picked without replacement from {l: 1, e: 1, h: 5, m: 6, a: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 233?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 38*v**2. Let d(u) = 3*u + 22. Let y(c) = c. Let q(x) = -6*x - 8. Let r(b) = q(b) + 5*y(b). Let m(p) = -4*d(p) - 11*r(p). Give m(t(n)).\nAnswer: -38*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 5, 2, -3 in descending order.\nAnswer: 5, 2, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-400)\/20*(-1)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 12:46 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22223135.\nAnswer: 5, 11, 29, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 33, 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*t - 10836 = -1154*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35811845, 143247385, 322306611, 572989517, 895296097, 1289226345, 1754780255?\n\"Answer: -z**3 + 35811849*z**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 1:56 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Suppose -z - a = o - 13, 3*a = -5*z + 44. Let t = z + 23. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 4*l = -24. Let r(f) = -3*f + l*f + 20591*f**2 - 20585*f**2. Calculate r(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 355653025*b**3 - 2229354*b**2 + 47.\nAnswer: 2133918150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45.3 - -45. What is the second smallest value in 0.4, -8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*j - 19, -j - 6 + 5 = 5*s. Suppose j*o + 5*q = -33, 3 = -o + 4*q - 0. Does 11 divide o\/(7\/(-2)) + 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*i + 5*f + 22, -3*i = -4*f - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f**3 - 22*f**2 - 3*f - 11. Let n(r) = -5*r**3 + 11*r**2 + 2*r + 6. What is 7*n(q) + 4*w(q)?\nAnswer: q**3 - 11*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2061637941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**5 - 28*z**4 + 53*z**3 + 191*z**2 - 5*z + 37 wrt z.\nAnswer: -180*z**2 - 672*z + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 6*(sqrt(88) + sqrt(88)*2 + sqrt(88)))\/(6*sqrt(8)) + (2*(1*sqrt(308) + sqrt(308)))\/(sqrt(567)*-2 - sqrt(567)).\nAnswer: 209*sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/14 and -43\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 3220 = -966. What is the greatest common factor of h and 7553?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - 9*o - 18. Let j be w(9). What is the greatest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i + 40. Let z be v(-3). Suppose -x - x = 3*m - 2429999, x = -2. Let n be (1 + z)*-1 - m. What is n rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 + 0.088604\nAnswer: 0.248604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 246.\nAnswer: -17\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -38*(-2*1 - 7\/(-7)). Suppose -5*w + 4*w + 5*n = -20, w = -4*n + k. Let x = w - -16. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3 + (-3 + 2 + 0)*(2 - 3 + 0) + 6 - 8 + 9)*(3 - 3 + k**3 + (9*k**2 + 14*k**2 - 49*k**2)*(2*k + 0*k - 3*k)).\nAnswer: 243*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 122731*u + 736499. Calculate h(-6).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-540)\/26580*(-2)\/(-3). Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*s + 167*s = 144*s - 139*s - 10336 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u + 1. Let z(k) = -7*k - 1. Let w(i) = 3*a(i) + 4*z(i). Is w(-7) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14291861?\nAnswer: 1361, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 3. Let r = -5 + o. What are the prime factors of 314\/10 + r\/(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**4\/4 - 2*y**3\/3 - y**2 - 11. What is x(10)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6038821 is divided by 2012937?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 2. Let x be z(-5). Let n be 2\/18 + -3 + x. Sort n, -0.1, 1\/2.\nAnswer: -0.1, n, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*-1*(-3 + -1). Let a = 35 - f. Let 6*j**3 + 6*j**3 - a*j**5 + 12*j**2 + 27*j**4 - 30*j**4 = 0. Calculate j.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 - -0.7. Let d = 20939\/44 - 1921\/4. Let h = d + 273\/55. What is the third smallest value in h, 3\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, 5, -48 in increasing order.\nAnswer: -48, -9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1\/4, -0.4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by 40?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002478682535 rounded to 6 dps?\nAnswer: -0.002479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10081580 (base 10) to base 5\nAnswer: -10040102310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6767 = -2*x + 7289, -4*s + 28100 = -2*x. What are the prime factors of s?\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2470894.5 plus -0.03916?\nAnswer: -2470894.53916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.45 - -19. Let b = 58813576 + -58813575.55000029. Let x = w + b. Round x to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 1, z: 7, o: 4, x: 2}. What is prob of picking 1 z and 1 o?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037650?\nAnswer: 2, 5, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6 - 56\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 51, -9, -71, -135?\n\"Answer: -h**2 - 57*h + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.57 - 305.57. Let o = w - -301.555. Round o to 2 dps.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -41\/972, -1\/2, 7\/3, 1\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 3:21 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 5. Suppose 0 = -3*m - 6 + 3. What is the smallest value in -10, m, x?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524*g + 2130 = 529*g. Suppose 2626 = 11*q + g. What is the greatest common factor of q and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1012, 0.3, -4, -5.\nAnswer: -1012, -5, -4, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -36. Suppose -3*j = 4*y - 4, j + 2*y + f = 3. What is the second derivative of g**2 + j*g**2 + 7*g**2 + g + 0*g**2 wrt g?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d = -15. Let m = 1 - -3. Find the second derivative of 2*b - b**m + d*b**4 - 3*b wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(1 + (30 - 0)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 305, 20, 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.86662ms in minutes?\nAnswer: 0.004447777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 11)*(-m - 4*m + 3*m)*(16 - 20 - 31) + 5*m + m - 5*m.\nAnswer: 421*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - 0.06. What is the nearest to y in 2, -8, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**4\/24 + 3*g**2. Let r be i(3). Which is the second smallest value? (a) 2\/3 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 21 = 3*r, -y + 2 = 3*r - 4. Suppose -r*p = -4*p + 2*u + 3, -p = u - 15. Let l = p + -9. Sort 0, l, -5.\nAnswer: -5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -2 + (-11)\/(77\/14). Let v(l) = l**3 + l + 1. Let b(x) = 32*x**3 - 16*x - 16. What is o*b(c) - 16*v(c)?\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + x - 1. Let r(z) = -z**3 + 6*z**2 - 419*z - 2. Determine r(v) - 2*t(v).\nAnswer: -v**3 + 2*v**2 - 421*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/22 + -5\/132. Let y = 5.5365 + -6.0365. What is the smallest value in q, y, 249?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 13442, -2, -320.\nAnswer: -320, -2, 6, 13442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2540 divided by 82.\nAnswer: -1270\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*l + 10*l = 1983 + 1545 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 366458, 364002, 361546, 359090, 356634, 354178?\n\"Answer: -2456*d + 368914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39731763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 44\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-9)\/(-36)*((-18)\/(-1))\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -63 (b) -0.8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*m**5 + 91*m**3*x - m**3 + 13*m**2 - 2*m*x - 6*m wrt m.\nAnswer: -11100*m**2 + 546*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6 + 13*y - 8*y - 6*y - 5. Let x be h(-13). Suppose 4*z - 6 = 3*b, -b + z + 1 - x = 0. Solve t - b = -7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 15 + 20 + 17 - y**2 + 2*y to the form l*y + n + v*y**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2137214681 and 0.4507?\nAnswer: 2137214680.5493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 0.1. Let r = h - 0.3. Is r > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11833 + 11833.006181. Round g to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11603472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8730510 to the nearest integer?\nAnswer: 2955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 71*q**2 + 90*q + 1300. Let s be m(-72). Solve 4*g - 25 = -5*j, 8 - 26 = 2*j - s*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13482652.\nAnswer: 2, 37, 91099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -856386\nAnswer: -1\/285462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 368, 4, -26.\nAnswer: -26, 4, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21223222221 - -3?\nAnswer: -21223222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*x = 126, 0*g = 5*g + 3*x - 206. Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 20 (c) 46\/15 (d) -1\/7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + 5 + 4 - (sqrt(1573)*2*-5 + sqrt(1573)))**2.\nAnswer: 1818*sqrt(13) + 132694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2 + 0*r**2 + 3*r + 2*r**2 - 1 + 0*r**2. Let q be l(1). Which is smaller: q or 15\/13?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + -0.27. Let d be -2 + 1 - (-55)\/33. What is the second smallest value in r, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 4. Let r(z) = 2*z - 3. Let q(d) = -4*r(d) - 3*v(d). Let b(i) = -2*i. Calculate q(b(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -101000010000110 (base 2) to base 4\nAnswer: -11002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 764 + 2540 = 7*v. Let k = 590 - v. What is the remainder when k is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {u: 1, c: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:22 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5008*y - 130 - 90 = -5018*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-175)\/70))\/((-10)\/(-8))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40510.7nm to millimeters.\nAnswer: 0.0405107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -1. Let f = x + 7. Solve 3*q + f*b = 18, -2*q + 2*b = -5*q + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175361266323\/1216 + -144211592. Let x = o + 981\/38. Calculate the common denominator of 19\/40 and x.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.2, 5, 720, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 50*l + 224. What is v(-10)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 22 + 22. Let h(f) = 6*f - 12. What is the units digit of h(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w**3\/7 - 116*w**2\/7 + 8*w = 0. Calculate w.\nAnswer: 0, 1\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.149 (c) -2 (d) 0.09 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -7*s + 43. Let p be 0 - -1 - 2 - -9. Suppose 5*y - 12 - p = 0. Is y bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7945 = g + 2*g + 4*i, -2*i - 7949 = 3*g. Let r = 4162 + g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*n + 987, 5*j + n + 4956 = -0*n. Let a = -423 - j. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 3745604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/483 and 12\/77?\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -19*b + 181. Let l be d(10). Which is greater: l or -28\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**4\/4 - 4*d**3\/3 + 3*d**2\/2 - 8*d. List the prime factors of m(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6591*i + 27104 = -5623*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2358 - 1378 = 35*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -769, -1744, -3129, -4936, -7177, -9864?\nAnswer: -13009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -20846002 <= -20846014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 654148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-153) + 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7069 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 611526701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4373 = -598*x + 9939 + 16784 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 3*(-6 + 5)*1. Let t(a) = -d - 5*a + 3*a + 2 + 6*a. Let l(g) = 2*g**2. Give l(t(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15) + 12\/20. Let u = z + 0. Let i = -17\/24 - -569\/600. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -325*s - 55. Let t(w) = -12*w - 2. Determine 4*l(n) - 110*t(n).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + h. Let j = 71 + -69. Let l be (-37)\/7 + j\/7. Let k be (4*(2 - l\/(-2)))\/2. Let x(v) = 1. Give k*x(i) + 2*t(i).\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 47*l - 50*l - 45*l + 137*l + 19 = 28*t, -4*t - l = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3321 + 3439 = 8*p. Let k(c) = 845 + 4*c - p. Let x(j) = -4*j - 3*j + 0*j. Determine x(k(h)).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1720312, 3440677, 5161042?\n\"Answer: 1720365*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 + 6. Let p be (832\/65)\/16 - 1. Let h = -2.8 + 2.7. What is the biggest value in p, h, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -2*h - 43, h = -o + 44. What is the highest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 8*l**2 - 4*l + 2. Let v be c(10). Suppose i = 3*i - 2*b - v, -4*b - 166 = -2*i. Calculate the remainder when i is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + m = -8, -w + 19 = 3*w - 3*m. Is 4\/177 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -615*j**4 + 8*j**3 - 7*j**2 - 2*j - 251121?\nAnswer: -7380*j**2 + 48*j - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + (sqrt(288) + 0)**2 + 5 + -6*(-2 + -1 + sqrt(288)) + 1) + 3.\nAnswer: -144*sqrt(2) + 635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/16*20\/(-30).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -581, -592, -611, -638?\n\"Answer: -4*c**2 + c - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 691 - -91. Let f = -722 + v. Solve 0 = -56*c + f*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -15 - (12 - (-95 + 14 + 9))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 1.3. Let y = 1813\/88 + -167\/8. What is the second smallest value in y, -0.2, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*c - 1 = 0, -50*j + c = -47*j + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3554*2\/(-6))\/((-6)\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 37 = 3*v + 3*s, 2*v - 40 = -s. Suppose -16 = v*h - 25*h. What is the highest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g - 9. Suppose 2*p + 6 = -9*r + 4*r, -3*r - 4*p - 12 = 0. Suppose -4*v = r, x - 6 = -x + 3*v. What is the units digit of k(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*a**2 - 8*a**6 - 57*a**5 + 25*a**2 + 56*a**5 wrt a.\nAnswer: -960*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -d + 323, 0 = -2*d + 6 - 0. Suppose -86*a + 7812 = -x*a. Does 62 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/((-2)\/2)*(-30)\/(-30)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 11244.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705 a factor of 244265130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -422? (a) -4 (b) -8 (c) 2 (d) 0 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 9:26 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-35) + 8\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-206*x + 624648 - 312327 - 312317).\nAnswer: 412*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*z + 87*z = -26*z - 105*z - 16470 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*k - 253749, 598*x + 3*k = 595*x + 253752. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*c + 108*c + 111*c + 109*c + 104*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10715867879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*i = -700, -231 = 5*y + 4*i - 966. Is 16 a factor of (y - 1)*10\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1358, -3099, -5224, -7727, -10602?\nAnswer: -13843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 297*r**2 - 299*r**2 + 23*r to c*r + m + t*r**2 and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141905 - 4*l - 141905.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 9637205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15053, 30111, 45173, 60239, 75309?\nAnswer: 90383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -18*s + 200. Let r be p(11). What is the third smallest value in -6.53, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.792 - -9.84. Let g = a + 2.251. Round g to two dps.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 51*t**3 - 18*t**2 - 15*t + 104. What are the prime factors of g(9)?\nAnswer: 2, 5, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/23188 and 17\/286.\nAnswer: 301444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166 + -165.979. Let w = 0.029 + f. What is the biggest value in -9, -2, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d173b4 (base 14) in base 8?\nAnswer: 67473642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**5\/5 - s**3\/6 - s**2\/2 - 2*s. What is the units digit of n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2 = z + 2*q, -z = -2*q - 6. Suppose 3*n + z*j - 82 = n, 3*j - 15 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319545?\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(175)*-2 + 0)*2)**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 6:13 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -12. Suppose -5*f = 5*y - 25, f - x*y + y = -1. Suppose -r - 4 = 5*t - t, 3*t + f = 5*r. Solve r = c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*y + 18. Let w = -1 - -2. Suppose 5*r = a + w + 3, -4*a + 53 = y*r. Calculate the least common multiple of a and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/90*18\/(-45)*6\/4\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + 8 + (2 - 16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5 + 27*w**4 - 168*w**3 - 1728*w**2 - 1536*w.\nAnswer: 3*w*(w - 8)*(w + 1)*(w + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 47 = -4*x, 38 + 79 = -3*y - 4*x. Let i = y + 27. Let f(j) = -j**3 - 8*j**2 - 2*j - 9. Let d be f(i). Solve b = 3*v - 7 - d, b = -v + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 4, -1, 1 in descending order.\nAnswer: 4, 1, -1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m**3\/4 - 309*m**2 - 10029*m\/4 + 870 = 0 for m.\nAnswer: -8, 1\/3, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/7)\/(n*n**0))\/(n**(-4)*n**(3\/7)))\/((n\/n**(4\/5))\/(n**(-1\/9)\/n))**24 assuming n is positive.\nAnswer: n**(-2974\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-7)*(g*g**19)\/g)\/(g**(8\/5)\/g**7) assuming g is positive.\nAnswer: g**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8332346 (base 9) to base 6.\nAnswer: -235214153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11075320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000131131514 to 7 dps.\nAnswer: -0.0001311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 50*f - 2. Let u(x) = 49*x - 1. Suppose 0 = 5*t + 5 - 20. Let k(j) = t*u(j) - 2*g(j). Is k(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 plus 5718643?\nAnswer: 5718607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 20142*j**3 + 13652688*j**2 - 2397948440*j.\nAnswer: 2*j*(j - 9355)*(j - 358)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903464.\nAnswer: 2, 31, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3.1. Let k = f + 5.9. Let q = k + -5. What is the second biggest value in q, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5 - 214*a**4\/3 + 5362*a**3\/9 - 13238*a**2\/9 + 3760*a\/3 - 344 = 0.\nAnswer: -43, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1070369262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4617619174203.4 and -0.16.\nAnswer: 4617619174203.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 2. Suppose 2*m + 3 + 5 = -3*f, 2*f - 4*m = 16. Suppose r + 3 = -f*r. Determine k(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, e: 4, a: 1, j: 1}. What is prob of picking 1 j and 1 h?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + -5 + 3 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10*c + 28. Let q(f) = -f + 1. Let m(k) = -4*q(k) - r(k). Suppose 199*b - 203*b = -24. Is 13 a factor of m(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36306569.\nAnswer: 13, 1193, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 8*j + 21. Let y be i(-10). Let t(u) = u**3 - 12*u**2 - 13*u - 5. Let p be t(13). Let k be 1\/4 + p\/120*2. Is y not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 1638.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:23 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(324) - (sqrt(324) + sqrt(324)*1))\/(-4*sqrt(10)\/sqrt(5)) + -2)**2.\nAnswer: 27*sqrt(2)\/2 + 153\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 13.1. Let j = u - 1. Which is the smallest value? (a) 3 (b) j (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -459.\nAnswer: 183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let y(o) = 4*o - 7. Let j be -1 + (-2 + -4)\/3. Let q(p) = j*m(p) - y(p). Calculate the remainder when 38 is divided by q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m + 150. Let n be (-3 + 88\/m)*3. What is the nearest to n in -4, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -10, 8, 44, 104, 194, 320, 488?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 7, -2.\nAnswer: -31, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/30 + k**4\/12 + 70*k**3\/3 - 136*k**2. What is the second derivative of h(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.24 - 0.26. Which is the third smallest value? (a) -2\/7 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*v + 2, 4*l - 9 - 11 = 3*v. Solve l*y - 8 = 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 434650112.465 and 3.\nAnswer: 434650115.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -4 (b) 3882 (c) 3 (d) -35\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 239*t + 366. Let y be a(81). Solve -y*c - 190 = 62 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 564\/141*((-53)\/28 - -2). What is the biggest value in 0.22, -1\/2, 2\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -13*b + 25. Let g be (b\/(-2) - -2)\/(15\/(-835590)). Suppose -g = -7*r + 254947. What is r rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 158 = i, -165019 + 165031 = c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/26)\/r)\/((r\/((r\/r**(-2\/51))\/r))\/r)*(r*r**(-26)\/r)\/(r*(r\/(r**21*r))\/r*r) assuming r is positive.\nAnswer: r**(-9077\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let n(g) = 63*g. Determine -2*n(w) - 14*o(w).\nAnswer: -98*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2.767?\nAnswer: 2.767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + 19. Let r = 3 + y. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/11 in 0.3, 2\/15, -58?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/56 and -34\/6195.\nAnswer: 49560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 25 - 9 - 9 - k. Determine h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -330, -650, -956, -1242, -1502, -1730, -1920, -2066?\n\"Answer: h**3 + h**2 - 330*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 846032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3*v = 7 + 5, 3*b + 3*v + 12 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 66*y - 109. Let d be z(12). Suppose -3*n + 5*n - 270 = -4*r, 2*r - d = -5*n. List the prime factors of n.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/4836 and 25\/792.\nAnswer: 319176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 274 + -183. Suppose y + n = 3*y + 3*b, y - b - 53 = 0. What is the third derivative of -y - 4*s**2 + 20*s**4 + 35*s**2 + 50 wrt s?\nAnswer: 480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174645977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81527869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 1. Let k be m(-4). Let h be 0\/(3*(-3 + 4)). Suppose -k*r + r + 673 = 5*s, 5*r - 5*s - 785 = h. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -11*g**5\/20 - 2*g**4 - 2*g**3\/3 + 25*g**2 + 342*g + 3. What is the second derivative of k(i) wrt i?\nAnswer: -66*i - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19658*k*o**2 + 39*k*o + 2*k + 100*o**4 - 16417*o - 1 wrt o.\nAnswer: -39316*k + 1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 30*j - 332 + 8*j**3 + 0*j**2 + 3\/4*j**4. What is the derivative of x(t) wrt t?\nAnswer: 9*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5502 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: What is 3406 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: Calculate the remainder when 2720872 is divided by 10757.\nAnswer: 10108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075505589.\nAnswer: 3, 373, 320377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 75*s**2 - 32*s - 2394. What is p(-75)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11281824 divided by -32796.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 4443232421?\nAnswer: -4443232431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01429309 to 5 dps.\nAnswer: -0.01429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 2:05 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(2\/29)*g)*g**(-5))**(12\/7)*(g\/g**4*g**6)**(-9\/2) assuming g is positive.\nAnswer: g**(-9705\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1 + 2*k**2 - 3*k + 3*k**2 - 3. Suppose 2*y + 4 = -0*y. Calculate the remainder when x(y) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 16*c - 37. Give y(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/23))\/k**(-1\/2)*(k**(-1)\/k)**5 assuming k is positive.\nAnswer: k**(-387\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lje when three letters picked without replacement from {d: 1, e: 4, l: 7, n: 3, j: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943719489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**2 - 5*s - 16. Let r(z) = z**2 - z - 1. Let v(a) = -4*r(a) + w(a). Determine v(4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1212 - -1207. Let d be (18\/84)\/((-6)\/8). What is the nearest to -2 in 0.5, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = q - 5*n - 13, 2*n = -4*q + 58. Suppose 0 = 8*c - q*c + 265800. What is c rounded to the nearest 1000?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 13 = -152. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 29*h**2 - 29*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 20608 + 95844 = -4*r, -5*c = 3*r + 56419. Is ((-4)\/(-6) - r\/(-6))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23949.4 - 23949. Which is greater: n or 1888?\nAnswer: 1888","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1.649\nAnswer: -0.3298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 36, 74, 122, 180?\n\"Answer: 5*f**2 + 13*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 8359780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042459 + 4*a - 2084800 - a + 1042415.\nAnswer: 3*a + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 + 1 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 10*q + 9 = 13*q, -q = -z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21965*k - 283*k**3 + 21965*k)*(1 - 1 - k).\nAnswer: 283*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 11 - (13 - (2 + -1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*q = -30, 4*l = 2*q - 4*q - 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 123*r**2 + 906*r + 14. Determine c(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((108\/(-675))\/((-1)\/(-5)))\/((-58)\/(-5)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 6:19 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473874*j**2 - 2*j**3 + 473874*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14248 is divided by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, 43 in descending order.\nAnswer: 43, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113627912*t**5 - 98114*t - 597.\nAnswer: -2272558240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Suppose j + 12 = 4*s. Let o be (-18 + (-6)\/s)*-1. Solve 5*z + o = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2923.\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 116586090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*x**3 + 23*x**3 + 6*x**2 + 12*x**3 - 6*x**2 + 20*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43 and 1075.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 26 = u, 58*x + 4*u = 31*x + 31*x + 32 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 103, 415, 1037, 2071?\nAnswer: 3619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let p(u) = -4*u + 23. Let a be p(5). Suppose -5*m - 232 - 140 = -s*i, -a*m + 6 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - 5*h**2 - 2*h - 5. Let o be l(-4). Let r = -4 - -8. Suppose -2*a = -4*w + 2*a + 96, r*a = 5*w - o. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from pwwqnfwqfwhwwnf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1728.28 and 4.\nAnswer: 1732.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2023622 < -2023623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 132 = -3*a - 0*p, 216 = 5*a - 4*p. Let s be -21*(a\/(-12) - -3). What is the derivative of 0 + 3 + 2 + s*r wrt r?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9194 - -9190. Let r(a) = -a - 4. Let z be r(-4). Let m(g) = 6*g + 2*g**2 - g**2 + z + 1. Determine m(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**2 + 7150896*d - 42905520 = 0.\nAnswer: -1787730, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 7*f**2 + 16*f + 63. Determine u(-9).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = -33*u - 816 + 436 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = q + 5*g, -q + 0*q = 4*g + 6. Suppose 2*j + 4*x - 14 = 0, -5*j + 3*x = 12 + 18. What is the remainder when j\/((-3)\/25) - -2 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*g**2 + 5 + 40*g**3 - 38*g**3 + 15*g**3 - 6 to the form i*g**3 + x*g**2 + s + n*g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54035999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*i - 58*i**3 + 22*i - 2*i**2 - 51*i**3 + 113*i**3 + 3 as g*i**2 + w + x*i**3 + u*i and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*q**2*z + 136*q**2 - 69501*q*z + q - 525 wrt z.\nAnswer: 9*q**2 - 69501*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 616\/10 - (-10)\/25 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/60 + i**5\/30 + i**4\/24 + i**3\/2 + 28*i**2. Does 25 divide g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(130)*-3)\/(2*sqrt(10)*-3).\nAnswer: 4 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 8. Suppose -3*f = -o*c, -3*f - 3 = -5*c - 0. Suppose 3*q + c = 24. Calculate the highest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - 1188 - 1188 + 2367.\nAnswer: -12*x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 48 = -r, -3*s + 45 = r - 4*r. Let f = s + -7. Suppose 2*j + 30 = 3*i + f*j, 0 = 5*i + 5*j - 50. List 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 lowest common multiple of 30 and 162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3357439299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 1. Let p(t) = 1755*t**3 - 2*t + 0*t**2 - 2*t + 8*t**2 - s. Let w be p(9). Round w to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -76*g**4 + 16*g**3 + 14*g + 16. Let r(p) = -15*p**4 + 3*p**3 + 3*p + 3. Let o(v) = -16*r(v) + 3*z(v). Find the second derivative of o(k) wrt k.\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Let n = 72 + -67. Suppose -3*o = -2*o + 2*t - 35, o - 4*t = n. Solve 0 = q*j + 3*j + o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3908\/2860 + 0 + 4\/(-5) - 18\/99\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6453 - 0?\nAnswer: 6453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.07 + 0.07. Let z = 3 + 1. Let m = -4 - -3. What is the second smallest value in m, i, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35027538 is divided by 3720?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1009086 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -362799, -362797, -362795, -362793, -362791?\n\"Answer: 2*c - 362801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.021035 (b) -0.7 (c) -2\/11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/(218\/6). Let n = 7529\/872 + w. Find the common denominator of 39\/20 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/18*(-4)\/((-16)\/(-6)). Which is the smallest value? (a) -1\/5 (b) 2\/13 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 8*b**2 - b + 6. Let k be f(8). Let u = 2 + 1. Let m be k*u\/18 - 0. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1540181611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/126 and 7\/2385108?\nAnswer: 16695756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.51 - 7.49. Let n = -19.2 - 1.8. Let g = z - n. What is the closest to 0 in g, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = -5*j. Let m = j + 15. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1420)\/(-315) - (-2)\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**3 + 16125*h**2 + 113340*h - 711040 = 0.\nAnswer: -11, 4, 3232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p. Suppose 2*g - 7*g + 55 = p. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 984\/15 + (-14)\/(-35). What is the greatest common factor of 3102 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-3))\/(18\/27))\/((-14)\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -1)\/(39\/(-91)). Find the third derivative of -3 - 3*c**2 + 5*c**4 + 6 + h*c**4 + 8*c**6 + 8*c**2 wrt c.\nAnswer: 960*c**3 + 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 12. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 + 11*i**4\/12 + i**3\/3 - i**2\/2 - 43*i. Is f(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -1)\/3*-7. Let j = 7 + l. Suppose p = -1, 3*t - t + p - 61 = j. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51761, 103550, 155339?\nAnswer: 207128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2024 + 10152\/5. Let f be (1 - 1) + (-1570)\/378. Let j = f + 35\/27. Calculate the common denominator of t and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*b + 5*o - 25, b - 5 = 3*o. Let n(h) = -b*h + 8 - 2*h + 6*h + 10*h + h**2. Calculate the remainder when 87 is divided by n(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 288 = -72. Calculate the highest common divisor of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1613 + 1618 = 5*g, 0 = 3*c + 5*g + g - 153 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m + 1. Let q(j) = -j. Let w(r) = f(r) - 6*q(r). Let c(x) = x**2 - 5*x - 2. Give 2*c(l) + 5*w(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l + 15 = 0. Let d = 3 - l. What is the remainder when d\/3*(-75)\/2 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4560439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = -5*s + 4*j - 79, s - 5*j - 34 = 0. What is the least common multiple of 20 and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937*c = -938*c + 4*s - 20, 185*c - 557*c - 5*s + 25 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 3770.\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190848 or -190888?\nAnswer: -190888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053609 rounded to 4 dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 14. Let j be 0*(2 - -1 - p). Suppose 5*x - 2*t + 2000008 = 0, j = 4*x + t - 6*t + 1600020. Round x to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69166552 to the nearest integer?\nAnswer: 8317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2 + 10*g + 2. Let m(c) = -4*c**2 + 9*c + 2. Let o(b) = 3*j(b) - 4*m(b). List the prime factors of o(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*b - 4 = 0, 174*j - 173*j - 2*b = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 3*f**2 - 8*f + 5. Let q be i(5). Let w(p) = p**2 + p. Let k(b) = -8*b**2 - 5*b. Let x(d) = q*w(d) + 3*k(d). Let z(c) = c**2. Give z(x(l)).\nAnswer: 81*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 678041497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**3 - 3*z**2 + 2*z + 3. Let j = -644 - -647. Let x(f) = -4*f**3 - 4*f**2 + 3*f + 4. What is j*q(s) - 2*x(s)?\nAnswer: -4*s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20241 - -2431?\nAnswer: -12310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 0 + 0)*(2*c - 3 + 3) + 138 - 47*c - 138)*(-2*c**2 + 0*c + 0*c) to p*c**3 + v*c + y*c**2 + l and give p.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -54035245?\nAnswer: -54035250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**5 + 2*n**4 + 12*n**3 + 3507*n**2 + 3 wrt n.\nAnswer: 60*n**2 + 48*n + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4713\/5 + 943. Is -947 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-16)\/(-20)*3*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1840074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a - -3?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2. Let g(x) = -3*x**2 - 3628. Calculate g(f(y)).\nAnswer: -27*y**4 - 3628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304 - 303.99. What is the nearest to o in 5\/2, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwq. Give prob of sequence gg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-248)\/(-124)*(-6)\/4)\/(24\/(-112)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (165\/(-50) + 3)\/(-8 - 5\/(-25)). What is the biggest value in -4, 1\/9, k, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 4*h**3 + 8*h**3 + 4*h**3 + 2*h**3 - 4*h**3 + (2*h**3 + 2*h**3 - 6*h**3)*(-3 + 0 + 1) to l + n*h**2 + w*h + y*h**3 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {s: 3, z: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 13. Let o(r) = -3*r - 2*r + 2*r**2 - 4 + 0 - n*r**2. What is o(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -10 + 3 - -1. Let l = -5 - u. Suppose -l*j + j = -5*a - 12, -a + 4 = j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/24)\/(3 - (-3)\/(-4)). Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y - 3. Let d be ((-140)\/12*2)\/(2\/(-6)). Let x = d - 75. Let l(t) = 5*t + 2*t + 6 - 2 - 1. Calculate x*r(u) - 4*l(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 18. Let l(y) = -56*y - 441. Let n be l(-8). Let d = n - p. Solve d*z + z = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-2 - -4) - 940\/200?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c*c**(6\/5)*c*c*c))\/c)*c)**(-2\/61)\/(c**(-16\/5)\/c**22) assuming c is positive.\nAnswer: c**(7614\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 3*o - 4*v, 4*v = -6*o + 5*o + 4. Solve 4*a = o, 0 = 2*k - 3*a - 3 + 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2*z**3 - 8 + z**3 - z - 4 as u*z**3 + o*z**2 + w*z + q and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 72.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let p = -153 + 156. Solve o*m = -p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.41, 4\/3, -54, -0.09, -0.055?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -52, 2, 109 in increasing order.\nAnswer: -52, -1, 2, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44889.179 + 44912. Let x = k - 0.281. What is x rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2255 is divided by 1121.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70807, -70805, -70803, -70801, -70799, -70797?\nAnswer: -70795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.232 rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -10. Let s = w - 9. Let k be s\/(-6) - (-10)\/(-15). Solve 5*u + 3*j + 14 = k, j - 14 = u - 4*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-1 + 22 + -40) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((-40)\/60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -2\/9 (b) 0.2 (c) -1\/7 (d) 0 (e) -7\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 1257808*x**2 - 98898924724*x - 2965835822520.\nAnswer: -4*(x + 30)*(x + 157211)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 g when four letters picked without replacement from igggggggggiiggiggg.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -33\/2, 1\/6, 2\/7 in increasing order.\nAnswer: -33\/2, 1\/6, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 12. Let f = p - 3.00000032. What is f rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1623\/2 + 788. Suppose -10 = -8*f - 82. What is the common denominator of ((-4)\/((-192)\/f))\/(120\/(-1504)) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98\/3 + -33. Let j = 77 - 78. Let b = -0.19 + -0.21. What is the second biggest value in k, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(15 + (-1420)\/100).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 - 2*t**2 + 3*t**2 + (14*t + 22*t + t)*(-t + 5*t - 3*t).\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192172?\nAnswer: 2, 107, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122816537 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhg when three letters picked without replacement from {h: 4, g: 15}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 426 and 4?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 10 - 25*z**2 in the form f + m*z + g*z**2 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154 - (575\/69 + 4\/6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 5:21 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - (9 + -46)) + 30 + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3, 0.106, -9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/162056 - -3241113\/1134392. Factor 48\/7*i**3 - y*i**4 + 2\/7*i**5 + 2*i + 0 - 44\/7*i**2.\nAnswer: 2*i*(i - 7)*(i - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*u)*(2*u**3 + 3*u - u - 2*u**2 + u**2) + (64*u - 30*u - 37*u)*(13*u**3 - 4*u**3 - 12*u**3).\nAnswer: 13*u**4 - 2*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/36 and 81\/308?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -599 divided by -599\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(37\/370).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 - 1. Suppose 5*q + 5*l - 15 = 0, q - 3*l + 1 = -4*q. Let g be v(q). Suppose g*j = -137 + 525. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 2, -316, 7, -3 in decreasing order.\nAnswer: 7, 2, 0.5, 0, -3, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 - 901\/5. Let j be -13 - -14 - 1\/3. What is the nearest to -0.1 in j, -4, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.58447 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**18)**(-36) assuming h is positive.\nAnswer: h**(-648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-126) + (-4117)\/(-14). Solve c*h = 306*h + 72 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**4\/6 - v**2. Let l(o) = 26*o - 5. Let m(k) = -47*k + 9. Let i(t) = 9*l(t) + 5*m(t). Calculate s(i(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0 - 15*x**2 + 1\/8*x**4 + 0*x + 694\/15*x**5 - 1\/3*x**3. Is v(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(0 - 4 + 6)*(4*p - 6*p + 0*p + (-3 - 1 - 2)*(-2*p + 3*p + 2*p) - 3*p - 2*p + 2*p).\nAnswer: 46*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 18676?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274496202.\nAnswer: 2, 3, 59, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2686990243 - 0.3.\nAnswer: 2686990242.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4508858 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -275093 or -275101?\nAnswer: -275093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.3 and 257.\nAnswer: 258.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -9. Suppose 4*r - 5*b = 6*r - n, -2 = -2*b. Does 2 divide 6*(-3)\/12*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/(-15) + 2\/(-3). Let k = q - -9. What is the lowest common multiple of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*v**5*x - 10982*v**5 + 16481*v**2*x + 2*v*x + 2*v + 1 wrt v.\nAnswer: 840*v**2*x - 658920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -71. Which is the smallest value? (a) 0.5 (b) -0.05 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 334 and 1935029?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -7*h - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408480995?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) -2\/15 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 8*f + 9. Let c be m(-7). Let x be 0\/c + (1 - 0). Solve 0 = 2*t - x + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 54*t**3 + 13*t**2 + 4*t - 12. Let k be x(-22). What is k rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 247059.4 and -5.\nAnswer: 247054.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 8) + (-18 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1086 (base 10) in base 13?\nAnswer: -657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + 13 + -26 + -30?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 30*c + 166. What is t(-20)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**3 + 15*t**2\/2 - 19. Factor j(w).\nAnswer: 3*w*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0820975 to four dps.\nAnswer: -0.0821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, d: 4, x: 7}. Give prob of sequence xdx.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -8 + -53 + (8 - -10).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 563*c**2 + 52056*c + 1326780.\nAnswer: (c + 54)**2*(c + 455)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 53*x**2 + 16*x + 38. Let i be a(-18). Suppose -q + i = q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 493 = -477 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 179574393 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306083610 and 1889405?\nAnswer: 306083610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120\/9*(-369)\/(-164) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 20 + 38 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 112779 - 19851. Suppose -j = -5*r - 11*r. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 567 + -565. Factor 34*d**2 + 1502 - 19*d + 98 - 70*d**g + 99*d + 37*d**2.\nAnswer: (d + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1484*y + 1457*y - 297 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*a**2*w**2 - 3*a**2 - 18*w**4 + 5*w**3 + 96*w - 16 wrt w?\nAnswer: -102*a**2 - 216*w**2 + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4250444234.\nAnswer: 2, 683, 3111599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1\/4 (c) 33 (d) -3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6515533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29340 + -29325. Solve -t*j + 12 + 93 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1553975 less than 0.179144?\nAnswer: 1553975.179144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {v: 5, m: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -64, -156, -292, -472?\n\"Answer: -22*a**2 + 18*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1097621 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -7. Sort 0.1, 0.4, o in decreasing order.\nAnswer: 0.4, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*d + 66 = 138*d. What is the thousands digit of 1238 + 6 - (-5 - d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, 2, 34, -1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -16) + 31 + -62 - -23?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029695537 to 3 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5092 (base 11) in base 9?\nAnswer: 10236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*o + 6035 = -1085 - 13304 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*a*s**3 - 937*a*s + 8*a - 515*s**5 + 2*s wrt s.\nAnswer: -90*a*s - 10300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from {s: 1, m: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -34*x + 213. Give q(15).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79785 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -3*g + 4*g. Suppose 5*b - g = -25. Let o be -2 - 1*(b + 4). Which is bigger: -36 or o?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 7*u + 13 - 54, -2*u + 11 = -n. What is the least common multiple of (-20)\/10 + 1*59 and u?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*v + 18. Suppose -v*r + 7 = 5*z, 6*z - 3*z + 5*r = -1. Solve z*g = 3*d + g, -5*d = -2*g - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d**(-18)*d))\/d)\/d)\/d**(24\/11))\/(d\/d**(-29)*d**(-11\/6)*d) assuming d is positive.\nAnswer: d**(-1013\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8 and 39\/922.\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/18)\/(66\/(-297)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-6 + 4 - 4)*(-5*c**2 - 3*c**2 + 6*c**2).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*b - 60*b - 48*b to the form n + p*b and give p.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34156, -136604, -307352, -546400, -853748, -1229396?\nAnswer: -1673344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = 7*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**2\/2 - 15. Let q(s) = 5*s**2 - 13*s - 20. Let r(t) = -q(t) - 2*z(t). Factor r(c).\nAnswer: -5*(c - 4)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*m - 68 = 0, -3*m + 95 = -5*o + 479. What is the units digit of 20\/130 - (-3)\/(o\/2908)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1 + 3 + 5*h**3 - 3 - h - h**2. Let m be (-2)\/(-8) + (-1)\/4. Suppose -1 = -m*o - o. Give c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 + 5 + -3 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15 + (-164 + -16)\/(-12). Solve h = 16*c - 58 - 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 410093.9 millennia?\nAnswer: 4100939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -6188?\nAnswer: 6175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 16. Sort q, 4, 0.\nAnswer: q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 45 = -0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5451, -43791, -147989, -351021, -685863, -1185491, -1882881, -2811009?\nAnswer: -4002851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c - 21 - 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - k**2 + 5*k**2)*(-4*k**3 + 3*k**3 - 33*k**3) + (-2*k**4 - k**4 + k**4)*(3*k + 8*k - 2*k).\nAnswer: -52*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 882257 to the power of 1\/2, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41517460 and -1090448.\nAnswer: -42607908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 42 + 0 = 0. Let i(r) = -r**3 - 5*r**2 + 5*r + 1. Let p(g) = g + 1. Let a be p(-7). Let l be i(a). What is the greatest common divisor of c and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.79963 times -4?\nAnswer: 7.19852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 197450317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:54 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2610)\/(-6525))\/((-4)\/(-130))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -93, -3.6, 1\/6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (4 - (8 - 7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139.8 + -205. Round x to 0 dps.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-20590.\nAnswer: 6177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d - 57 + 217. What is the highest common factor of 400 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -537 in -0.03, -3, -0.5, 0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 44*r**2. Let n(o) = 11*o**2 + 2423. Determine n(a(l)).\nAnswer: 21296*l**4 + 2423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -115287.387 + -28?\nAnswer: -115315.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 5*l**2 + 6*l + 5. Give p(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**9\/60480 - g**8\/4032 + g**7\/1680 + g**6\/720 - g**5\/10 + 26*g**2. Let k(c) be the third derivative of w(c). Calculate k(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (273\/(-84))\/((-2)\/352)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 920341337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3130*g = -3140*g + 4690. What is the remainder when g is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*z + 79, 2*j = 30*z - 28*z + 146. Suppose 63*a - j*a = 0. Solve -2*m = 5*i + 17, -4*m - 2*i + 1 - 11 = a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = 5*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*r - 242 = -133*r + 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 23*r**2 - 77*r - 2. Let y be v(26). Calculate the highest common factor of y and 1404.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 4*l**2 - 2*l - 2. Let i be o(-4). Let f be i\/(((-2)\/7)\/2). Let p = f + 84. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + (21 - 13))\/(-3) + (-24 - 2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10216149 to four decimal places.\nAnswer: 0.1022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044847688.\nAnswer: 2, 1451, 90011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-121)\/(41745\/92)*6\/(-92)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -7. Suppose -4*n - 3 = p. Sort 0.4, -0.5, n.\nAnswer: n, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(-3 + 3 + 1) + 8 + 30 + 0 - 3 + 5 - 4 + (-4 + 5 - 2)*(-3 + 2 + 2) + 0 + 3 - 1 + 1 - 4 + 4)*(-7151*u**2 + 123*u**4 + 7151*u**2).\nAnswer: 4428*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67502*h + 114852*h + 275030*h.\nAnswer: 457384*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 + 10*l - 543. Calculate o(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -28.035, -3 in ascending order.\nAnswer: -28.035, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.3. Let x = -2.1 + 2. Let a = x - 0.3. What is the closest to u in -3, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 - 35\/2*l**2 - 68*l + 20\/3*l**3 - 5\/12*l**4. Solve z(s) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/((-6)\/(-72)). Suppose 3*h + 2*d - 71 + 26 = 0, d = 3. Let s = h - x. Calculate the remainder when 11 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*g + 213*g = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1057\/78 + -135\/13. Let d = 0 + 2. What is the common denominator of l and d\/5 - (-163)\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.1 + 34.3. What is m rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 298.893 to the nearest integer.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 6*g + 3. Let h be j(-7). Suppose 1 = -x + 14. Let p = x - 15. Put p, 3, h in decreasing order.\nAnswer: 3, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 48 - 12. Let o(m) = -m**2 + 4*m + 5. Give o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = i. Let y = -88502 - -88497. Let p = 0.5 - 1. What is the nearest to i in p, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-304)\/(-168) + 1\/(-7)). Which is the closest to -1? (a) l (b) 0.5 (c) 1\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 32*w**2 + 36*w - 145. Let j be i(31). Suppose -o - 7 = -x, 5*x - j*x - o + 5 = 0. What is the highest common factor of x and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 5*g - 3*v - 27230, -4*v = 0. Suppose -4*p + 20*o + g = 19*o, 0 = -3*p - 4*o + 4075. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382335 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-216)\/81*(3\/4)\/(-1). Suppose 7*g = k*g - 80. Is (-7511)\/(-11) - g\/88 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2119 (base 11) to base 15\nAnswer: -c6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 358 times 0.3\nAnswer: 107.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(4*(sqrt(612) - sqrt(612)*-2) + sqrt(612) + sqrt(612) + -3*(sqrt(612) + -1))**2.\nAnswer: -148123 - 792*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06052651344319 and -1.\nAnswer: -1.06052651344319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmdxdmeddvdvd. What is prob of sequence edd?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -21. Suppose v*q + 5*x = 163, 2*q = 8*x - 3*x + 153. Suppose 5*y + 3*d = 11 + q, -4*d + 20 = 0. What is the remainder when 74 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87, -90, -93, -96?\n\"Answer: -3*q - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 (base 7) in base 8?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4328 - 0.3328. Let d(v) = v**2 - v - 1. Let u be d(-2). Let y = -7 + u. Sort 4, y, z in decreasing order.\nAnswer: 4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -29. Let l = x - -62\/5. Let s = -0.34 + 0.04. Which is the third smallest value? (a) l (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4042175713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 0.56. Let f = s + -0.9. Let x = -1498\/5 + 299. Which is the closest to -2? (a) f (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/13)\/(l**(-22)*l))**(-10\/7) assuming l is positive.\nAnswer: l**(-2690\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70710106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 530*u**3 + 8*u**2 + 9424*u + 2.\nAnswer: 3180*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -597*c**3 + 17*c**2 - 27?\nAnswer: -3582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/((-7)\/102) - 1. Let c = -65 + h. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 12224 = -4*g - 12199, 4*s = -5*g + 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 22739400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(14\/12)\/(-7))\/(-1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -29*f - 20. What is u(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 96 = -4*d + 84, -5*d = 4*n - 248. Solve -30*o - d = -6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1273375996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lflf. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -7\/5, -0.09, -5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3381*m - 3366*m - 2460. Calculate the remainder when m is divided by 1*(-3)\/(3\/(-17)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 20*j + 1981. Calculate s(-66).\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + t - 318. Calculate the remainder when t is divided by (-1488)\/(-108) + 2\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 - 57. Let g = v - 28. What is the remainder when g is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636782?\nAnswer: 2, 29, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(11\/7)\/u)\/((u*u**12*u)\/u*u)*(u**(-5)\/u*u)\/u**27 assuming u is positive.\nAnswer: u**(-318\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 180. Determine q(-9).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3231\/11 + -294. Which is the closest to r? (a) -0.3 (b) 0 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 4*n - 14. Let f be h(-5). Suppose 4*w + 3*w - f = 0. What is the remainder when 38 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 22*w = f + 15, 3*w - 1 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -17 + 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 15.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-55))\/(30\/(-44))*-3*10\/(-684)\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10335703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -25. Let u be (s\/8)\/((-15)\/(-40)). Solve -4*q = -0 + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.363 + -0.137. Which is the closest to 0.1? (a) -6\/5 (b) i (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.19 and 0.03.\nAnswer: -0.2157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 3*y - y)*(0 + 6 - 4 + (-2 - 2 + 5)*(1 + 3 - 3)) + y + 20*y - 5*y to r + z*y and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2338.8 - 2271.356. Let m = n - 67. Round m to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/13))\/g**(2\/7))**28 assuming g is positive.\nAnswer: g**(288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -718644.153798 + -3.146202. Let v = a + 718331.2721. Let z = 316 + v. What is z rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 108 = 3*z, -66*z = -70*z + 4*m + 160. Calculate the remainder when 61 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 12*z**2. Let q(h) be the second derivative of -7*h**4\/6 + h + 60. What is q(v(w))?\nAnswer: -2016*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 1, r: 8, x: 9}. Give prob of picking 1 m, 1 n, and 1 r.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -754, 4, -3, -4, 11 in descending order.\nAnswer: 11, 4, -3, -4, -754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205 (base 6) in base 3?\nAnswer: 101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7351684 = 1209892. Let r = c + -370536. Let a = r + -1089858. What is a rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzqzt. What is prob of sequence qp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2409119 is divided by 2151?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(567) + sqrt(567) + 4*-2*sqrt(567) + sqrt(567) + (sqrt(567) + 0)*2)**2)*-1.\nAnswer: -5105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 151, 139, 125, 109?\n\"Answer: -h**2 - 9*h + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -2678?\nAnswer: 2675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671 at least as big as 2674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -96. Suppose a = 2*t + 17. Suppose 3*y + 4 = j, 5*y - 50 = -3*j - j. What is the remainder when t is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 114*w**2 + 111*w + 1201. Let s be d(-113). Solve s*z - 1433*z - 24 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 4*q = 0. Suppose 4*t - 7*j + 2*j = 3, 2*j + 8 = 5*t. Let f = q - t. Which is the nearest to -2\/5? (a) -4 (b) f (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 5, p: 5, j: 3}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -11*g**5\/120 - g**4\/24 - g**3\/6 - g**2. Let y(u) be the first derivative of c(u). Is 10 a factor of y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**2 + 2*q - 4. What is the remainder when w(2) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441, -710, -1355, -2544, -4445, -7226, -11055, -16100?\nAnswer: -22529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**2 - 5*t**2 + 5*t**3 - 5*t**2 + 15*t**2 wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 112 + 107 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.065 rounded to one dp?\nAnswer: 33.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*a**2 + 427*a**2 - 7 + 7.\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20 + -17)*(-2)\/(-3) - -5. Calculate the remainder when 157 is divided by k\/((-7)\/(-3)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.9. Let j(t) = 4*t**2 - t. Let v = 1 + -2. Let y be j(v). What is the second smallest value in -3\/2, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**4\/12 + 2*a**2. Let w(f) = -2*f**2. Determine w(k(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 69600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 86870767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 47597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1555, 237, 26 in descending order.\nAnswer: 1555, 237, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a century?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 24. Let u be f(-10). Suppose 5*r + 280 = 3*c, -u*r = 4*c + c - 516. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-4))\/((-57)\/(-95)*(-220)\/16).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 378*a - 3255. Give c(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-30))\/((-50)\/(-330)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 86.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 6 + 3)*(-31 - 2*g**3 + 31 + 25*g).\nAnswer: -32*g**3 + 400*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 61 = -16*t. Suppose -t*c = -6*c - 1760000. Round c to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 2745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.00433 and 0.390764.\nAnswer: 0.395094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000054645 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 1\/210*c**5 + 0*c - 1\/84*c**4 - 84*c**2 + 1\/420*c**6 + 0 - 1\/21*c**3. Solve q(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**2. Let g(r) = -131645*r. Determine g(q(c)).\nAnswer: 921515*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54\/4*(2156\/(-84) - -27). Let h(u) = 3*u + 17. What is h(i)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696.5694 litres to millilitres.\nAnswer: 696569.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w - 6. Let x be a(6). Let o = x + 24. Suppose -3*t - 5*q = -21, o*q = -3*q. What is the greatest common divisor of t and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/337 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:22 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -273*q - 52313 + 31838 for q.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 732 or 741?\nAnswer: 732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*t**2 - 63*t**2 + 29*t**2 + (3*t + 7*t - 4*t)*(-3*t - 3*t + 7*t) as w*t + g*t**2 + m and give g.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = -d + 4, -2*d + 4*k = -8. Let i(n) = -n**2 - d*n + 6*n. Let a(w) = w - w - 2*w. Give a(i(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -3, -2, -0.4 in ascending order.\nAnswer: -3, -2, -0.4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 11.3. Sort 3, x, -0.03 in descending order.\nAnswer: 3, -0.03, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 2408463\nAnswer: 12042315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15462174161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 7*m**3 + 3*m**3)*((-4 + 2 - m + 2*m)*(-3 + 0 + 1) + (-m - 3*m + 11*m)*(-1 - 3 - 3)).\nAnswer: -459*m**4 + 36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/4 + 7*x**2\/2 - 8*x. What is the first derivative of h(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11232113202 - 3?\nAnswer: 11232113133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 - 2*b**2. Let v = -17 + 15. Let f(j) = j**2. Determine v*f(g) - t(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2317 = 5*q - 40128, -f - q + 21221 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s**3 + 323*s**2 + 38*s - 69. What is b(36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 32*d**2 - 273*d - 38. Give n(-20).\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 0*l + 3*l)*(1 - 3*l - 1)*(19 + 1934 + 366 - 165) in the form b*l**2 + q*l + m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/v**(-1\/4)))\/v)**(2\/13)*(v\/(v\/v**6)*v)\/v*v**(2\/15) assuming v is positive.\nAnswer: v**(2257\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 2:26 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*r + 19 - 58*r - 18.\nAnswer: 134*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6 - 92\/(-8). Let x = 14 - d. Let h(q) = 7*q - x*q - 6*q. Let t(p) = 13*p**2. Give h(t(r)).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-4)*248\/155. Let i(y) = 22*y - 11. Let d(n) = 11*n - 6. What is p*i(a) - 7*d(a)?\nAnswer: 11*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.82 + 0.08. Let d = 50 - 47.9. Let a = d + u. Is -1 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61805481 or 61805480?\nAnswer: 61805480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - 35*p**2 - 14*p + 35. Suppose -10 = -7*b + 18. Suppose 86 = b*o - 14. Let r be v(o). Round r to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**3 + 966*c**2 - 40101*c + 364650 = 0?\nAnswer: 13, 34, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72 or 0.138738?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + 2. Let k(i) = z*i**3 - 7 - 1 - 6*i**2 - i**3 - 3 + 3*i. Is k(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w. Let n(q) = -3*q**3 + q**2 - q + 5. Let x(i) = n(i) - 6*z(i). Let a(o) = -4*o**3 + o**2 + 6*o + 6. Let y(t) = -4*a(t) + 5*x(t). What is y(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 17 - 14 - 18 + 6*x + 52 - 10*x. Let y(i) = i**2 - 3*i + 3. Give -3*k(r) + 4*y(r).\nAnswer: r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(156)*5)\/(sqrt(588)*-1).\nAnswer: 30*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55220011 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -14494 and -14494 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*o**2 + 26*o**2 - 14 - 81*o**2.\nAnswer: 7*o**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/374344 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2031*g**3 - 336*g**2 - 2?\nAnswer: -12186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p**2 + 88*p - 561. What is y(4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 273 + 314. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 13*d**2 - 11*d. Let q be (-6)\/15 - (-64)\/10. Let u(a) = -7*a**2 + 6*a. Let k(p) = q*v(p) + 11*u(p). Let m(t) = 7*t**2. Calculate m(k(s)).\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/8)*u*u**(3\/11))\/((u**2*u)\/(u\/u**(-9))) assuming u is positive.\nAnswer: u**(827\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 2, -1\/3, -9, -0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 830435.8 decades?\nAnswer: 99652296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 7*h + 2*h + 40, -4*h + 14 = 2*u. Calculate the remainder when 26 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x + 7 = 4*c, 4*x + 17 = -c. Solve 2*b - g = -5 - 2, c*g = 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 + 1868)\/(-37) + 50.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56092.\nAnswer: 2, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*l**2 - 450 - 948 + 2*l**3 + 74*l**2 - 1212 in the form a*l**2 + o*l + b + n*l**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - -3647. List the prime factors of k.\nAnswer: 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -70*i**5 - 1846*i**4\/3 + 24604*i**3\/3 - 25204*i**2 + 24594*i - 1530 = 0.\nAnswer: -17, 1\/15, 15\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 2 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -6. Suppose a*f - 5*f + 20 = 0. Suppose 0 = 3*y - 15, -2*y = -4*t - f*y + 130. What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47856*o**3 + 136714*o**2 wrt o.\nAnswer: -287136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -213, -207, -191, -159, -105, -23, 93?\n\"Answer: a**3 - a**2 + 2*a - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -994 + 2075. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96603 is divided by 79?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*h**2*q*v**2 - 4*h**2*q*v + 30*h**2 + h*q*v**2 + 57*h*v**2 - 6*q*v**2 - 12*v wrt h.\nAnswer: 72*q*v**2 - 8*q*v + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 - 14 = 9*i. Let x(o) = o**3 - 5*o**2 - 6*o - 2. Give x(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - j - 1, 4*u + 8 = -4*j. Let q = u + 12. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20111101221 - -110210?\nAnswer: 20111212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {s: 12, z: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28329586 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/977, 75, -0.4, -3\/7 in descending order.\nAnswer: 75, 7\/977, -0.4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-5)\/(-10) - -65. Let b(x) = -x**3 + 20*x**2 - 24*x + 33. Let k be b(19). Let t = u + k. Solve 5*z - 7 + t = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(228) + 5*sqrt(228))*6)\/((sqrt(2940)*4)\/sqrt(5)).\nAnswer: -54*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046870122 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 116\/3. Let m = -100 - -95. Which is the closest to -0.1? (a) m (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-21 - ((-7 - (7 - 4 - 5)) + 11))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdtvdtvxclvxtxdvclv. What is prob of picking 1 v, 1 t, and 1 x?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.113 + 13.113. Let i = -12.9 + r. Which is the smallest value? (a) -1\/6 (b) i (c) 0.038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -4)*(0 + 27\/(-2)). What is the greatest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**4 + h**3 + 22*h**2 - 16*h - 40. Let d(r) = 10*r**4 - r**3 - 42*r**2 + 31*r + 80. Let v(k) = -4*d(k) - 9*z(k). Find s such that v(s) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -255909*f - 104 + 127958*f - 12*f**3 + 127953*f - 2*f**2 to p*f + l + w*f**3 + s*f**2 and give l.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.81 + 3.21. What is the fourth biggest value in 9\/2, o, -0.5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360) + sqrt(360)*-1)\/sqrt(6))\/sqrt(10))\/(-1*sqrt(162) + sqrt(20)\/(sqrt(20)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27326, 54079, 80256, 105857, 130882, 155331, 179204?\n\"Answer: -288*d**2 + 27617*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-204)\/20)\/(7\/210). Let a = 561 + x. Let w(b) = 32*b**2 + b - 1. Calculate the remainder when a is divided by w(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 5*f**2 + 5*f - 1. Let i(r) = -r**3 + 4*r**2 - 4*r + 2. Let n(x) = -3*i(x) - 2*l(x). Let b be -5 - -1 - (0 - 1). What is n(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-21))\/((-12)\/(-21))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(6912))\/(sqrt(64)\/sqrt(2)))\/((sqrt(1470)*2)\/sqrt(10)*3).\nAnswer: 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -32131?\nAnswer: 32123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1112, 4, 7, -1, 5.\nAnswer: -1112, -1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-17)\/1683*-5*(-21)\/105\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40568 - -68857. Suppose 3*a + d = -46711. Round a to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1047781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*b**3*c**2 + 23*a*b*c**2 - 48*a*c + 6*a + 7*b**3*c + 133*c**2 wrt c?\nAnswer: -2*a*b**3 + 46*a*b + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -7. Let o = f + 28. Solve o = -5*j + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1954884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213169\/4 or 53291?\nAnswer: 53291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/60 + g**4\/24 - g**3\/6 + 16*g**2. Let s(t) = -8*t**2 - 4*t + 5. Calculate s(x) + 6*z(x).\nAnswer: -2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457.0546 litres to millilitres.\nAnswer: 457054.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j + 35050 = 29*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**4*j - 10*c**4 + 5*c**2*j + 20*c**2 + c wrt c?\nAnswer: -120*c*j - 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**3 - h**2 + 1340221*h - 50746407?\nAnswer: -3*h**2 - 2*h + 1340221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138 by -115090.\nAnswer: 69\/57545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 40 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 363074 * 14\nAnswer: 5083036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2189266127 to the nearest 1000000.\nAnswer: -2189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f1 - -6158?\nAnswer: 6067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168240*d**3*h*k**2 - 7*d**3*h*k + 2*d**3*h - 4*d**2*h*k - d**2*h + 5*d**2*k**2 - 1547*k**2 - 6*k wrt d.\nAnswer: 1009440*h*k**2 - 42*h*k + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3361*z - 2391. Let b(a) = -a + 160. Let t(o) = 6*b(o) - 3*q(o). What is the first derivative of t(s) wrt s?\nAnswer: 10077","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let h(y) = -y. Let z(n) = -5*h(n) - 4*x(n). Let j(f) be the second derivative of f**3\/3 - 2*f + 8518. Calculate z(j(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 2. Let v be t(-2). Suppose 2 + v = -2*g. Suppose 10*c = 9*c - 1. Do g and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 y when four letters picked without replacement from dydidididiydddddidd?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014954 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: Is 95559088459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - 32*s**2 + s + 21. Suppose -4*u = 4*o + 52, -4*u + 7*o = 6*o + 67. Let y be x(u). Solve v + 9 = y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Let b be 4\/w*(-9)\/(-6). Suppose 0 = r - b. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + -2 + 0 + -3. Solve 0*t - t + 14 = -3*a, -a = -b*t + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 48*c**2 - 66*c + 4402. Let r be y(-51). Let a be ((-1)\/(-3))\/(1\/3). Put r, 3, a in ascending order.\nAnswer: r, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68141462 is divided by 22713819?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-22)\/4)\/(8\/(-48)). Suppose -d = -2*m + g - 205, -d + 164 = 2*m. List the prime factors of 1\/(-2)*d\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*i. Solve -3*a + 3 = -i*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (1 + sqrt(20)*2 - (-3*sqrt(405))\/sqrt(9))).\nAnswer: -65*sqrt(5) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y. Suppose y*m - 4 = -4*m. Suppose m - 16 = -3*z. Solve z = -4*g - 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 3*z + 4*z - 10*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(-4\/5)*n)\/n)*n\/(n\/(n\/n**(-4)*n*n)))**(-6)*(((n\/n**1)\/n)\/n)\/((n**6*n*n)\/n)*n**(-2)\/(n\/(n**(-7)*n)) assuming n is positive.\nAnswer: n**(-354\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:52 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*q + 2\/5 - 2\/5*q**2 - 3\/5*q**3 = 0. Calculate q.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 14569?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*z - 14790 + 14811 = 0, 0*f = -5*f - 5*z + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1585118808 divided by 226445544.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -2747813.\nAnswer: -1\/2747813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 6)*2\/4. Suppose -o*x - y = -4*x - 5, -2*y + 7 = -x. Let j(m) = 9*m. What is j(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 v when three letters picked without replacement from sqwwwwweewoevvq.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -98 + 98 + m. Let r(d) = d**2. What is r(b(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1224767.481 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z**2 - 7. Let r(l) = -l**2 - 1. Let u(q) = -6*r(q) + w(q). Suppose -37*b + 10 = 47. What is u(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 = -16*c - 421. Let q = 112 + c. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1563 (base 10) to base 13\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5 = 5*i, 11*i - 14*i - 2*l - 19 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32)\/200)\/(-2 - (-16)\/10). Let b = -7214\/3 - -2403. Sort b, -1, 5, l.\nAnswer: b, -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 21*v - 2. Let y be q(17). Let j(m) = -2*m**2 - 1904 + y*m + 1904. Let c(x) = 2*x**2. What is c(j(u))?\nAnswer: 8*u**4 - 528*u**3 + 8712*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -41. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 166\/3. Let x = 0 + -3. Let f = 3.2 + x. Which is the nearest to -1\/2? (a) f (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3142028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 3. Let f(x) = -3*x - 5. Let g(n) = -3*f(n) + 5*t(n). Let k(l) = -10*l**2. Calculate k(g(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*r - 10342062 = -10354602 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.065? (a) -4 (b) -14 (c) 5 (d) 3\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -769*r + 769*r - 6*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 3*v**3 + 10*v + 3*v - 36*v + 7*v.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53.97*0.58.\nAnswer: 31.3026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7*i - 152 = 0. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + v - 3. Let g(c) = 4 - 7*c + 15*c + 0 - 7*c. Let z be g(-7). Give b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 352 = 675. Let a be 3 + -3 + m + -3. What is a rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 870723 and 1990224?\nAnswer: 13931568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443 is divided by 116.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -32990000 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3199 - 3499 = -20*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*z - 2*z - 65 = 0, c - z = 27. Suppose 4 = 4*f - 4. Suppose -5*w + f*w + 109 = 5*p, w - p - c = 0. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 217, 382, 547, 712, 877?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 137.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69069 and 282348.\nAnswer: 25693668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*s**3 - 8*s**2 - 7*s**3 - s + 9*s**3 + 0*s**3 as w*s**3 + k + p*s + m*s**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115*f**3 - 41049030*f**2 + 3569480*f.\nAnswer: 5*f*(f - 356948)*(23*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 933\/33 + (-1920)\/(-2640) + -14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/2 - (2410\/107245 - 36142\/356)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/4*(1 - 17). Let u be (j\/(-39))\/(0 - -2). Let k be (18\/162)\/(1\/9). Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 11}. Give prob of picking 2 z and 2 g.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55 and 1487.973948.\nAnswer: 1542.973948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.2, -2\/6741, -0.1 in ascending order.\nAnswer: -4.2, -0.1, -2\/6741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -13*s - 0*c - 343, -28 = 2*s + 6182*c - 6183*c + 29 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -c + v, -3*v = 3. Let o(x) = -2*x - 8. Let q be o(-6). Differentiate 3*k**3 + k**3 - 2 - q + 0*k**c with respect to k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 12\/3 + 2 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 20, 4*h - 27*n + 28*n = -13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 22*n**2 + 23*n**2 + 21*n**2 - 65*n**2. Let h(t) = 2*t**2. Give h(g(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*p - 55. Let a(j) = 10*j**2 + 1. Let q be a(1). Calculate the highest common divisor of q and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2025\/15601 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/31 greater than 3.7048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18740398.\nAnswer: 2, 173, 54163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/4 - 5*j**4 - 3*j**3 + 280*j**2 + 784*j = 0. Calculate j.\nAnswer: -4, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*z**3 - 15*z**3 - 2*z**3 - 2*z to b*z**2 + u*z**3 + m*z + g and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 + -81.63. Round b to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Suppose 0*j + 3*j - s*p = 1764, 2*p + 4 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 211483 + 3402. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 166026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12))\/((20\/8)\/(-5)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 1952.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23722.1803 + -23721. Let a = 0.8202 + g. Let j = -2 + a. What is j rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -7*q. Suppose 67 = 3*h - 2*c, -h + c + 22 = -q*h. Suppose -7*u + 2*u + 920 = 0. Calculate the highest common factor of h and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -475 + 488. Let x be 0*(1*-2)\/(-2). Which is greater: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**2*t + 8765*k**2 - 48*k*t + 5*k - 534 wrt k.\nAnswer: -8*t + 17530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/5 (b) -0.28 (c) -1\/8 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*k + 3*u + 898, k + u = 310. Suppose -3*y + k = -3*w, y - w - 107 = w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7 + -0.3. Let i = 5.005 + q. What is i rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 2*c**2 - c + 2. Let b(j) = -j**3 + j**2 + j - 1. Let r(f) = 3*f**2 - f - 1. Let z be r(-1). Let t(a) = z*o(a) + 4*b(a). Calculate t(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 - -40.08. Let b = -39 + r. Let n be (-4)\/(-2) + 9\/(-4). What is the nearest to b in n, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 16 = 5*o, 0 = 4*d + 3*o - 1176 + 1206 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3 - 130*d**2 - 2528*d.\nAnswer: -6*d - 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1737*i**2 - 77 + 77.\nAnswer: 1737*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/((-318)\/(-60)) + (0 - ((28 - -2) + -3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 5300\nAnswer: 1\/5300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*r - 94878*r**2 + 242*r - 490*r.\nAnswer: -94878*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1812, 1814, 1816, 1818, 1820, 1822?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 139*h = -140*h + 16, -4*h = -j - 19. Sort 3, j, -177 in increasing order.\nAnswer: -177, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - f - 4 + (-5*f + 0*f + 3*f)*(4 - 1 - 5) - 4*f + 0*f + 2*f + 25 - 24 + f - 3*f.\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574, -1088, -1580, -2038, -2450?\nAnswer: -2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 441\/19845 - 38\/90?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-286)\/12)*4\/12\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -43*p**3 - p**2 - p - 4. Let i = -20 - -17. Is t(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 409 = -5*l + 101, -388 = -4*i + l. Solve -478*k = -492*k - i for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12792\/15 - (-1)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(-64)*4 - -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3337 + -4930. Let b = k + 2630. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 5*m + m + 0*m - 4*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24\/44 + 1027\/(-572)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 33. Let n(x) = x + 17. Let z(c) = 6*b(c) + 10*n(c). Let l be z(8). Let t be 1*6*(5 - l). Calculate the highest common divisor of 4 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/112)\/(2\/(-4)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*t + 16*x, t - 41*x - 9 = -2*t + 34*x - 73*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 10*y - 10. Let c(m) = m**2 - 3*m - 3. Let f(a) = 20*c(a) - 6*w(a). Let s(o) = 5*o. Determine s(f(r)).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*b + 114*b**5 + 14*b + 11*b - b**5 - 2*b**5 - 3*b**5 + (-b**2 - 3*b**2 + 6*b**2)*(-2*b**3 + 2 - 2).\nAnswer: 104*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - q - q**5 + (7 - 7 + 18*q)*(2*q - 2*q - q**4).\nAnswer: -19*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*h + h. What is the tens digit of ((-4)\/5)\/((-4)\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m**0)\/(m**(2\/7)\/(m*(m*m**(-1))\/m)) assuming m is positive.\nAnswer: m**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4867 + -2169. What are the prime factors of r?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -1, 3\/11 in decreasing order.\nAnswer: 4, 3, 3\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (4 + 1 + (-4 - 0)) - -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*z - 2*z**2 + 4*z**5 + 8*z + 8*z - 5*z**3 wrt z.\nAnswer: 240*z**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 391 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*n**3 - 4*n + 4*n + 4*n**3)*(-3*n**2 + 4*n**2 + 0*n**2 + (0 - 2 + 0)*(3*n**2 - 5*n**2 + 3*n**2) + 77*n**2 - 63*n + 63*n).\nAnswer: 1672*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/12 + 233*t**2\/2 - t. Let x be (-2 + 0 - -2)*(-3)\/3. Is h(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5174 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64659 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.81 + 206882070.\nAnswer: 206882086.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1803 + 2113. What is the remainder when h is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((120\/180)\/((-4)\/6))\/(1\/((-105)\/(-3))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 0*c - 1\/24*c**4 - 1 - 3\/2*c**2 - 1\/2*c**3. Let r(o) be the second derivative of g(o). What is r(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11*b - 1. Let o = 86 + 27. Suppose a = -4*d + 117, 3*d - o = -d + 3*a. What is the remainder when d is divided by u(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -164*j**2 + 1765. Let d(x) = 243*x. Calculate d(f(t)).\nAnswer: -39852*t**2 + 428895","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106231, 424975, 956227, 1699987, 2656255, 3825031, 5206315?\nAnswer: 6800107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -23. Solve 3*k - 4*f = 32, 2*k + h*f = 7*f + 33 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101736*f + 102963*f = -57669 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or 2499\/22?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2 = -8*z. Suppose -x - z = 4, -r = x - 2. Suppose -r*f = -0*f - 455. List the prime factors of f.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -4 + (13 - 3) + -16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/24 + 13*s**3\/6 - 8*s**2. Let g be k(-10). Suppose 0*q - 2 = -q. Solve -t - 5*b = 1, -q*t + 1 = g*b + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 a factor of 2055313652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from fyffyikkfcfffkfiyff?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.88 - 0.12. Let v = b + -2. What is the closest to 1 in -2\/9, -2, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018479 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1110.6687069 to 2 decimal places.\nAnswer: -1110.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 28*i**2 - 8*i**2.\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 67325\nAnswer: 33662.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/25)\/(4\/(-10)). Suppose g*m + 4 = -3*s, -4*s - 3*m + 1 = 8. What is the units digit of ((-18)\/(-21))\/(s\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**5\/30 - 13*n**4\/9 + 125*n**3\/9 + 50*n**2 + 369*n. Factor c(m).\nAnswer: -2*(m - 5)*(m + 1)*(m + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 + 1 + 4. Solve -2*w - 9 = 3*h - 0*h, 0 = 5*h + z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by -39401.\nAnswer: 125\/39401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/42 - 2)*(2 + -5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801 a factor of 245705578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 39?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1471*u**2 - 3*u + 1086. Let z(k) = k - 1. Let p(a) = t(a) + 3*z(a). What is the derivative of p(n) wrt n?\nAnswer: -2942*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 15*m**2 - 4*m + 10*m**2 - m**3. Let v be q(-5). Solve -4*y - 3 - v = -3*u, 4*y + u = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 154*j - 158*j - 4, j + 7*k = 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7260, 0.2, 80, -5\/3?\nAnswer: -7260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -y + 5*u, -7 = -5*y + 6*y + 3*u. Suppose 2*n + 3*i - 21 = 0, n + y*i = -0*i + 13. Let b(w) = -5*w + 3. Let c(g) = -11*g + 7. Give n*c(f) - 7*b(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322645 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 4. Let g be f(3). Let x(v) = -v**2 + v - 1. Let u(b) = 2*b**2 + 6. Let n(j) = g*u(j) - 3*x(j). List the prime factors of n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 0 - (6 + 3). Let a(b) be the third derivative of 19*b**5\/60 + 5*b**4\/24 - 7*b**3\/6 + 8*b**2. Is a(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1384 = 2*h + 2*b, 7*h = 9*h - 4*b - 1354. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-9) + (-2)\/(-3). Suppose 8 = 2*k - 0*k - 2*o, 2*k - 5*o = 11. Determine f so that 2*f + f + f - 2 - k*f**2 + f**q = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/((-1413)\/(-3140)) + 146\/(-24).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, -1\/3, -0.0442, 0.036, -151, -1?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + 5*r**2 + r - 3. Let k be i(2). Let p be (-878012 - (-2 + -7)) + 1*k. What is p rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18 + 16)\/(16\/(-135)). Which is smaller: 18 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76906, -153810, -230714, -307618, -384522, -461426?\nAnswer: -538330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5 + 20*j**4 - 24*j**3 - 152*j**2 - 172*j - 60 = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24121, 24137, 24163, 24199, 24245?\n\"Answer: 5*i**2 + i + 24115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001440302031 to seven decimal places.\nAnswer: 0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*a + 104*a - 592 = -2*r, -2*r - a = -600. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.25 - 17.75. Let i = q - -16. Which is the closest to 1\/4? (a) i (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + i + 4*i = -9, 5*i - 12 = -4*d. Suppose 3*w - 18 = d*h, 0*w = 4*w + 4*h - 24. Does 34 divide (6 + -57)*w\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 5*m - 3*n, 17*m - 16*m - 65 = 2*n. What is the remainder when 1607 is divided by m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 1 + 1 + (-b + 2*b + b)*(1 - 3 + 0) + (3 - 5 + 0)*(-1 + 1 + b) + (24*b - 159 + 159)*(4 + 16 - 6) + 0*b + b - 6*b.\nAnswer: 323*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/63571?\nAnswer: 2\/63571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0*l**4 - 22*l**2 + 0*l**3 + 0 - 62\/5*l**5 + 133*l. Find the first derivative of k(p) wrt p.\nAnswer: -744*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 - -18.17. Which is the third biggest value? (a) -0.2 (b) w (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -23. Let i be 0*-1*d\/(-4). Solve 2*p + 6 = -w, i = 2*w - p + 3 - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9482 = -3*k, 0 = 4*m + 189*k - 188*k - 7589. What is the highest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 4*f**2 + 5*f)*(-173 - 360 + 57 - 94).\nAnswer: -2280*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 + 5 + 362*l + 379*l - 739*l - l**3 to the form q*l**3 + y*l + p + b*l**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*q = 18620 + 11452. Calculate the highest common divisor of 1248 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 917 + 924 - 16*u**3 - 1873 + (0*u**2 + u**2 - 2*u**2)*(0*u + 0*u + 7*u) to the form v*u**2 + f + j*u**3 + g*u and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 608, 1214, 1820, 2426, 3032, 3638?\n\"Answer: 606*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y + 4*c + 2 = 0, 23 = 3*y - 2*c. Calculate the greatest common factor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011000 (base 2) in base 4?\nAnswer: -20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-1*sqrt(162) + sqrt(162) + -4) - (sqrt(162) + -2)*2*-1)*3)**2 + 3.\nAnswer: -2592*sqrt(2) + 6411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let l(n) = 112*n**2 - 8*n + 2. Let a(h) = -224*h**2 + 20*h - 5. Let b be (-4)\/10 - (-696)\/290. Let u(q) = b*a(q) + 5*l(q). Calculate c(u(g)).\nAnswer: 224*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(76)\/(sqrt(20)\/sqrt(5)))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 24\/(-2)*(-2 - (-176)\/(-48)). Calculate the highest common divisor of 15750 and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, u: 1, w: 1, h: 4}. Give prob of sequence whmh.\nAnswer: 11\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 2973 - 3*s**2 - s + 2235.\nAnswer: -3*s**2 - 738","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*h + 2*s + 3*s, -3*s + 105 = 5*h. Factor 15 + 0*z - h*z + 2 - 3*z**2 + 7.\nAnswer: -3*(z - 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.4. Let v(i) = i**2 + 2 + 3 - 5 + 1. Let j be v(2). What is the nearest to z in j, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 13. What is the second derivative of -4 + 4 - b*d**4 + 0 - 5*d wrt d?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1372*x**4\/5 + 3528*x**3 - 53403*x**2\/5 + 10645*x - 2250 = 0. What is x?\nAnswer: 2\/7, 25\/14, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, w: 19}. What is prob of sequence www?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3224 or 22?\nAnswer: 3224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1121143608 and 26520.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000056966 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 9*c + 2. Let g be m(-9). Is 9\/8 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 689521, 689516, 689519, 689536, 689573, 689636, 689731?\n\"Answer: r**3 - 2*r**2 - 6*r + 689528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 180696 divided by -6?\nAnswer: -30116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7848786.\nAnswer: 2, 3, 11, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5847226 and 32032.\nAnswer: 1216223008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - (-105)\/(-132). Let y be 9\/495*(-145)\/(-3). Let z = y + m. Put -2, 0.5, z in decreasing order.\nAnswer: 0.5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/2*(((-63)\/28)\/(-3) - (-7101)\/(-1052)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -31. Let f = 33 - m. Let p = f - 6. Solve -p*o - 14 = -4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 5*l - 55. Let g be j(4). Solve -3*c = -2 - g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*a = -821686, -a = -y + 152695 + 52722. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6458*l**3 + 6442*l**3 - 12903*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f + 4. Suppose 29*r - f + r**2 + 5 - 33*r = 0. What is r?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-10)*-5)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:23 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d + 7 + 4*d**3 + 3*d - 4*d + 7*d + 0*d. Let i(k) = 6*k**3 - k + 10. Calculate 5*i(t) - 7*y(t).\nAnswer: 2*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**3\/3 + 7*f**2\/2 + 2*f - 33. Calculate x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2569.7 and -0.043.\nAnswer: -110.4971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -2, 3.19, 1, 0.1, -915, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 66*o - 54*o.\nAnswer: -120*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4034992 divided by 2017496.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 7*g - 2. Let j be d(5). Calculate the greatest common divisor of 12 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.017 + -0.056. Let d = x + 9.173. Let t = -10.1 + d. What is the third smallest value in t, 13\/2, -0.2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*-2*2\/3. Suppose -r + 0*t = -2*t + 3, -2*t = -5*r + 17. Suppose 0 = r*a - 4*a + 3. Which is smaller: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 3*n + 4. Let p be b(-3). Suppose 4*j - 1416 + 232 = 2*o, -p*o = 8. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 163\nAnswer: 6\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3974.1 + 3974. Which is the nearest to -1\/4? (a) x (b) -0.5 (c) 9 (d) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -15*y**3 - y**2 - 2*y - 1. Let l be k(-1). Let p = 855 - 853. What is the second derivative of -l*f**2 - 24*f - 22*f**p - 3*f**2 wrt f?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12460 by -356.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -2601471?\nAnswer: -2601467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/44)\/(8\/(-64)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1753 - -672. Which is smaller: 1\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/17, 15055, 3, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 288 = -15*q. Let b = q - -38. Solve t + 0*t = -b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5189 and 0.049807062?\nAnswer: 5188.950192938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -13. Solve -u*l + 2*l + 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 2*u - 6*u**2 - 1 + 1 + 0*u**3. Let n be g(-6). What is the greatest common factor of 30 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44771*b*o**3 + b*o**2 + b*o + 2*o**3 + 9242*o**2 - 7*o wrt b?\nAnswer: 44771*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25638, 25622, 25606?\nAnswer: 25590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13073, -51592, -115791, -205670, -321229, -462468, -629387?\n\"Answer: -12840*d**2 + d - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/8)\/(7\/28). Which is bigger: 14 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -177, 0.3, 3\/2, 12, 0.4, -3, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -6, 0.058, 92, 5, -3, 2\/35, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -15*l. Let s be z(-2). Suppose -b + s = -4*m, -2*m - 54 = -2*b - 0*m. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -23. Let c = 3 - 4. Let k = 8 - 3. Put k, c, b in descending order.\nAnswer: k, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 17789, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -4, -5, 8, -2\/87, 7\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-1875)\/45)\/(2\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 f when four letters picked without replacement from {n: 4, f: 8, b: 2, l: 2}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + -2 + 2)\/(5028\/840 + -6). Suppose -4*x + 392 = -116. Suppose -u = -3*l + x. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 141664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-37300)\/70)\/((-45)\/2835)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93170 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (3 + -1 - -1). Let a be (13 - 4)*(-2)\/3. Let s be (-5)\/15 - 26\/a. Is h at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -61. Suppose 0 = -r*p + 4*p - 32. Calculate the highest common factor of p and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/(-6980))\/((-3)\/(-4)). Let b = 299\/8725 + h. Is -1 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - a + 36, 5*a = 2*n - 11 - 49. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105509092 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -5. Let v(u) = u**2 - u + 1. Let l(w) = -7*w**2 + w - 10. Let b(d) = -l(d) - 6*v(d). Calculate b(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153 + 155. Suppose 0 = 5*m - 5*i + 10, 4*m - 3*i = -4 - 0. Solve r*o - m = 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -4\/3*y**3 - 26 + 32*y**2 + 1\/48*y**4 - 2*y. Factor t(x).\nAnswer: (x - 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -32, -38, -44?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from eezeecceeexeexeeeee?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f**2 - 28*f**2 - 63*f**2 - 151*f**2 to the form k + i*f**2 + s*f and give i.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/578 and 69\/6358?\nAnswer: 6358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) - (-8)\/(-28). Suppose -4*y - 3 - 1 = m. Let r = -50614\/11 - -4601. Is y greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7806615863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 191499 + 13*d**3 - 191493 + 154*d**2 - 6*d**3 in the form u*d**2 + p*d**3 + j + k*d and give u.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13 - -6.13. Let y = x + -5.6. Let f(g) = -g**3 + 5*g**2 - 5*g + 2. Let l be f(3). What is the smallest value in l, 1\/7, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 26 + 3)*(3*w**2 - 2*w**2 + 3*w**2).\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*p**2 + 4*p**3 - 168 + 168 + 2*p wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -1526?\nAnswer: -1525.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/13, 0.0457, -32 in descending order.\nAnswer: 5, 1\/13, 0.0457, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 1411?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36763826747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*o + 34*o - 81*o + (5*o - o - 2*o)*(4 - 2 - 1))*(o + 1 - o - 2*o**2).\nAnswer: 34*o**3 - 17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**3\/24 + 567*w**2\/8 - 595. Factor j(n).\nAnswer: -n*(n - 1134)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 77*l**4\/2 + l**3\/3 - 18*l - 13. Let b(j) = 3*j. Give b(t(w)).\nAnswer: 1386*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2347\/3 - 782. What is the second smallest value in -2, 14, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88600 rounded to the nearest 1000?\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 9. Let p be f(-4). Does 7 divide p\/(-3)*-51 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 11\/137003285?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/389?\nAnswer: -3\/389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 11*y - 13*r + 8*r, 3*y + 2*r = -3*y - 32 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 11 - 2 = 0, a = -5*t + 128. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-4)\/(-8)*(-120)\/15*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (251 - 250 - 44) + -14 + 1 + 1.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2630\/3 - 867. Let h = -5 + f. Which is the smallest value? (a) 0.3 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/(-7))\/(4\/(-3)). Suppose -x*n - t + 15 = -0, -3*t - 5 = -n. Let j(m) = -m**3 + 5*m**2 + 2*m - 4. What is j(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 + -87. Let h(p) = p**3 - 10*p**2 - 10*p - 16. What is h(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 8)*(-6 + 0 + 4) + 13 - 3 - 2)*(11*x - 5 + 12*x - 20*x).\nAnswer: 48*x - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -d - 33, -5*f + 30*d - 4*d = 18*d - 55 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyqkwyykywwk. Give prob of picking 1 q, 1 k, and 2 y.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 26 = 7*z - 2*z, 0 = 4*l + 5*z + 32. Let h(i) be the third derivative of -i**4\/24 - 2*i**3\/3 - 452*i**2. Determine h(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**3\/6 + 5*i**2 - i. Let m be s(8). Find the first derivative of -m*t - 2 + t + 3*t wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**2*m + j**2*y - 154*j*y + 118*m*y wrt m?\nAnswer: -j**2 + 118*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5916?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245153.\nAnswer: 67, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.17 + 22.87. Let j = 65.3 + o. Let a = j - 84.9999959. Round a to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*t = 0, -6*t = -4*o - o - 22*t + 10*t + 8*t + 60 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/19577, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.9 - -30. Which is bigger: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11987476 and 67300.\nAnswer: 2692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67057960 and 328.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(8\/5 + -2). Suppose -4*t - 75 + 79 = 0. Let m be (-3)\/3*5*t\/(-10). What is the closest to -1\/4 in m, y, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1299 + a**4 + 2*a**2 - 2*a + 4*a**3 + 2*a**3 - 5*a**3 + 1304 as t*a**2 + f*a + h*a**3 + x*a**4 + l and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 7*k**2 + 8*k. Let x be q(6). Suppose -8 - x = -4*u + 2*z, -4*u - 4*z = -8. Solve -b = -u*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2683?\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 78647331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1, 30\/1069, -5?\nAnswer: 30\/1069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 189, 182, 175, 168, 161?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -283.4 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.04069 centuries in years?\nAnswer: 2204.069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 180 and 1976\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355195 = -9182*i + 967013 for i.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(sqrt(612)*2)**2 - ((sqrt(612) - -2*sqrt(612)*-3)**2 - (sqrt(612) + -1)**2*4).\nAnswer: -15299 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 6. Let d = -6 - f. Suppose -q + 4*l - 13 = d, -5*q - 2*l = -l - 40. Solve q*t = 2*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -1259, -1805, -2351, -2897, -3443?\nAnswer: -3989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 2*k - 1137 + 1112, -3*k = 4*j + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.4, 2, -5, -7.201, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-23 - -4) - (14 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 10*v**2 - 1 + 2 - 2. Let q be g(1). Suppose -15 = -5*s + q. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*l = -17, -27*i = -28*i + 3*l - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 411878147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*l = 5*l + 3, 4*l = -q - 19. Let d be 3\/(-1) + q + 9. What is the first derivative of 2*x**3 + 7 - d*x**4 + 6*x**4 - 2*x**3 wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2253486 and 2034?\nAnswer: 763931754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -0.068 (c) -5 (d) 40642\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -122*v + 6. Let t(w) = 3*w**2 - 2*w - 44. What is t(i(x))?\nAnswer: 44652*x**2 - 4148*x + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6366*c**3 - c**2*d - c*d - 604*d - 2 wrt c.\nAnswer: -19098*c**2 - 2*c*d - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4\/3 (c) 3\/5 (d) 2\/669\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -603054, -1206116, -1809176, -2412234, -3015290?\nAnswer: -3618344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1210 divide 112503380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36570, 71161, 105752?\nAnswer: 140343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 14*q**2 + 2*q - 2. Calculate d(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -86*y + 99. Let v(u) = -112*u + 100. Let b(z) = -3*v(z) + 4*w(z). Calculate b(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 8*w - 15. Suppose w*x - 5*v = -18, -3*v + 5 = -5*x + 9*x. Is 2 a factor of (-1 - -2)\/x*77\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 25*w - 24. Let n be u(26). Let x(p) be the first derivative of 0*p - n + 0*p**2 + 2\/3*p**3. Let v(g) = 4*g**2. Determine x(v(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-502012)\/(-10) + (-12)\/720*12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 16\/(-10))*(-10 - -5). Suppose -3*j = k*j - 1745. Suppose -2*p = h - 6*h + j, -2*p - 4 = 0. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -177276?\nAnswer: -177315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2419 - 618. Calculate the remainder when g is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1212, -2421, -3618, -4803, -5976, -7137, -8286?\nAnswer: -9423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 869451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10191 at least 10191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -1395 - 555. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9052439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*f - 2, 5*b - 1 = -4*f - 3. Let g(m) = -m. Let s(q) = 4*q - 2. Determine f*g(u) - s(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, q: 3, y: 5, r: 1, v: 2}. What is prob of sequence arj?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27*1 + (-7 - 80\/(-10)). Solve y = o + 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 5*k + 5, -2*h + 4*h = 4*k - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3832 + -3834. What is the nearest to m in -0.15, 0.3, 14, -5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/1692*(-18)\/(-39)?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - -13)*(-8)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 10. Let x be g(-4). Let u(p) = 4*p + 3. Let o be u(x). What is the greatest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**22\/h))\/h)**(-2)*(h**(-3\/10))**(-42) assuming h is positive.\nAnswer: h**(273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10*16\/(-160))\/(-1). What is the third biggest value in o, 4, 9, -73\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 41 = -4*t, 5*t + 3*z + 14 - 45 = 0. Suppose 0 = -t*l + 3*l + 10. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11140011 (base 5) to base 8\nAnswer: 302065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.32971, -1, 8, 0.2, 2\/9.\nAnswer: -3.32971, -1, 0.2, 2\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + (0 - -1) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (3 - (-12 - (-1 - (24 - 12)))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105*t**3*u**2 - 2*t**3 - 105*u**2 with respect to t.\nAnswer: 315*t**2*u**2 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/5 + 93*m**2\/5 + 207*m\/5 - 297\/5.\nAnswer: -3*(m - 33)*(m - 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2880 and 78.\nAnswer: 37440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15175121 take away 0.17?\nAnswer: -15175121.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + 11*j - 29. Let b(r) = -r**2 - 2*r + 6. Calculate 11*b(d) + 2*y(d).\nAnswer: -d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99)\/sqrt(3))\/sqrt(11).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 2 o when four letters picked without replacement from {a: 2, o: 9, y: 2}?\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (81 - (78 - -24))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466168 times 0.024?\nAnswer: 11188.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -729324, -729327, -729328, -729327, -729324, -729319?\n\"Answer: h**2 - 6*h - 729319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20a348 (base 11) to base 13\nAnswer: -b9b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 36. Let a(r) = r**3 + r**2. Let g be a(1). Factor 1 - t*x - g*x + 1 - 6*x**2 + 2*x.\nAnswer: -2*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, -19, -161, -433, -877, -1535?\n\"Answer: -7*r**3 - 2*r**2 + r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -31*w**2. Let t(r) be the second derivative of -r**3\/6 - 2*r. What is k(t(y))?\nAnswer: -31*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -275 and -0.4.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xddppmey. Give prob of sequence mey.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(5)*-2 - sqrt(5)) - sqrt(5) - (1 + sqrt(5) + -4).\nAnswer: -5*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*q + 22*q + 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220 (base 7) in base 15?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3881838470 rounded to the nearest one hundred thousand?\nAnswer: 3881800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + m + 3)*(70*m - 74*m + 4*m + 10050*m**2) + 3*m**3 - 5*m**3 - m**3.\nAnswer: 10047*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.16 (b) 0.5 (c) 18\/13 (d) 0 (e) 7\/10 (f) -11\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 27*w + 38. Let t be b(-5). Calculate the remainder when 100 is divided by -7 + 2 + t\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 10 = 0, 129 - 53 = 4*k - 2*i. Suppose 0 = -5*y + k + 2. Let c(p) = p**3 + 6*p**2. Let r(v) = v**3 + 6*v**2. Give y*c(x) - 5*r(x).\nAnswer: -x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 836 - 3415. Let m = 2561.77 + w. Round m to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 9. Let h = 83 + -128. Let x = h - -78. Calculate the remainder when x is divided by s(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*h + 23*h + 390 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.44, 0.5, -4, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15824 and 3956.\nAnswer: 15824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74796.\nAnswer: 2, 3, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 21209, 1 in descending order.\nAnswer: 21209, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -119. Calculate the common denominator of -5 and (n\/(-14) + -2)\/((-45)\/(-240)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -78*b**3 + 56*b. Let s(n) = 7*n**3 - 5*n. Let c be 0 - -2 - (8 - 12). Let g(r) = c*q(r) + 68*s(r). What is the second derivative of g(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3 + -0.7. Let k = 1334.89 - 1327. Let w = k + t. Round w to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25153855 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184 or 15548\/85?\nAnswer: 15548\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 20. Let y = x + -18. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r**(-1)*r))**(-23\/3) assuming r is positive.\nAnswer: r**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1486 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 1\/4*j**2 - 3\/2*j - 10 = 0.\nAnswer: -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 3. Let m be x(4). Let a = 22 - 20. Let w be (-23)\/(-7) - a\/m. Solve -f = f - 4, w*g - 8 = -4*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/2)*r)\/(r\/(r\/(r\/(r*r**(-1\/23))))))**(3\/5)*(r\/(r\/(r\/(r*r**1*r))))**(-3\/7)*r**(5\/2)\/(r\/(r\/r**(1\/11))) assuming r is positive.\nAnswer: r**(36661\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9\/36 + 5 + (-19)\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 122.7 - -0.08\nAnswer: 122.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7789*a + 21265 + 9891 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0*y**3 - 3*y**3)*(817*y - 7839 - 105*y - 711*y) to the form h*y**4 + s*y + x*y**3 + v + i*y**2 and give x.\nAnswer: 23517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 + 2*b**2 + 2*b. Determine t(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*d - 109*d - 14. What is the second smallest value in -19, 0.5, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963340 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**3 - b**2 - 5*b - 7. Let g(x) = -x**3 - x - 1. Let p(r) = 5*g(r) - j(r). Let o = 71 - 70. Let c(k) = k**3 + 1. Determine o*c(y) - p(y).\nAnswer: 2*y**3 - y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, j: 3, k: 3, c: 3}. Give prob of picking 2 j and 1 c.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*d**3\/4 + 12825*d**2\/4 - 119619*d + 33915 = 0. Calculate d.\nAnswer: -646, 2\/7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 4*l + 101. Let p be k(8). Calculate the highest common divisor of p and 1560.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -62 + 40. Suppose -4*t - 4*j = -200, -36 = -y*j - 30. Calculate the remainder when t is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 88, 365, 972, 2035?\nAnswer: 3680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -7. Suppose -r*c - 2 = -4*l - 8, -6 = -3*c + 2*l. Suppose 0 = 6*p - c*p - 8. Solve x + p*x = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(1088))**2 + -1*sqrt(1088) + -5 - -5*(5 + (sqrt(1088) - ((2*sqrt(1088) + sqrt(1088))*-6)**2)).\nAnswer: -1745132 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**7*h*h\/h**(-5)*h*(h*h**0)**(-1\/10) assuming h is positive.\nAnswer: h**(149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -118, -128, -128, -112, -74, -8?\n\"Answer: s**3 - s**2 - 14*s - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 4*o**2 - 2*o**2)*(4 + 5 - 2) + o + 22 - o**2 + 18 + 4.\nAnswer: -8*o**2 + o + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(147) + 4 + (sqrt(147)*4)**2 + 3.\nAnswer: 7*sqrt(3) + 2363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950906.5 hours to microseconds.\nAnswer: 3423263400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -389 (base 10) to base 15\nAnswer: -1ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24\/49 - -4\/49. Which is the third biggest value? (a) l (b) -1 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - -5*(sqrt(204) - sqrt(204)*2) - 1*(sqrt(204) - sqrt(204)*-1))\/(((sqrt(96) - 3*sqrt(96))*-2)\/sqrt(8)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r - 85. Let h be 4\/38 + (-12080)\/(-760). Let d be c(h). Solve -1 = 3*u - 4*l, 0*u - 3*u - l - d = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 - -71. List the prime factors of ((-18)\/o)\/(81\/8208).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-15))\/v**(2\/3) assuming v is positive.\nAnswer: v**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 23*t + 22*t + 14, 5*z - 4*t + 6 = 0. Suppose -3*k = -z*a + 29, 2*a - 5*a + 3*k + 51 = 0. What is the smallest common multiple of a and 146?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -13359379 - 18840621. What is j rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5*a + 35, 18 = w + 2*a - 6*a. Sort -1, 3, w, -5 in descending order.\nAnswer: 3, -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 10\/(-15))*(-1 + 142). Let q = 72 + s. Is 25 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2187430847.\nAnswer: 7, 23, 151, 89977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*v**4 + 17\/5*v**3 + 16\/5*v + 0 - 54\/5*v**2.\nAnswer: v*(v - 2)*(v + 8)*(3*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -666*k + 1718. Give t(2).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 16 = -17*c - 5*g, 0 = -g - 4. Is c less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782780 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(3*k + k - 2*k)*((-1 + 0 - 1)*(0 - 2*k + 0) - 2*k - 4 + 4 + (4 + 0 - 1)*(-4 + 2*k + 2 + 6)).\nAnswer: -96*k**2 - 144*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54.6 + -46. Let t = 9 - n. Which is the third biggest value? (a) t (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1683\/3482 - 29\/1741. Let c = 340776 - 5114972\/15. Let r = c - -222. What is the biggest value in r, k, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qba when three letters picked without replacement from wbttaiqw?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5813?\nAnswer: 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/1494)\/((-100)\/(-900))?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3238 - -1 - (-104)\/(-13)?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1423*p**2*y*z**3 - 4*p**2*z**3 + 582*p**2*z - 221*p**2 - 101*p*y**2 - p with respect to y.\nAnswer: 1423*p**2*z**3 - 202*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -751, -854, -1079, -1480, -2111, -3026, -4279, -5924?\n\"Answer: -9*z**3 - 7*z**2 - 19*z - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32258421?\nAnswer: 3, 13, 293, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-4) + (-1 - -1). Let n be -12*2\/(-4)*p. Let c(m) = m**3 - 6*m**2 + 3*m + 8. What are the prime factors of c(n)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16192669 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32\/11 in 2\/13, 2, 0.3, -4, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1535640.9 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millennium in decades?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23 take away -9164387?\nAnswer: 9164388.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(2\/9)*(t**0*t)**(-14) assuming t is positive.\nAnswer: t**(-122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*p + 5, -4*p - 6*x = 20 - 12. Which is the nearest to 31? (a) p (b) 0.3 (c) 3\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167 - (-107 + 122 - 156)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-5 - (-4 - -4)) - (18 + 14).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l*q**2*z + 153698*l*q**2 - 21*l*q + 425*l*z + q**2*z - 2*q*z + 12 wrt q?\nAnswer: 2*l*z + 307396*l + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 39 = -o. Suppose 12 + 18 = -2*b. Is 35*(o\/b + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -182*a + 8*a**2 - 179*a - 5*a**3 + 361*a in the form r*a + h + z*a**3 + k*a**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0 + 19*n**2 + 1\/375*n**5 + 0*n**3 - 1\/4200*n**8 + 0*n**7 + 0*n**4 + 0*n + 1\/500*n**6. Determine x, given that h(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-195))\/((-1)\/30*-5). Is 23 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((32\/5)\/(-2))\/(1\/(-15)). Let b = z - 46. Let k(f) = -b*f + 8*f + 0*f. Let c(x) = 5*x**2. Give k(c(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -70 + 364. What is the remainder when 206 is divided by k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqgqggg. Give prob of picking 1 q and 1 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.369 - 0.031. Sort n, -1, -0.2, 3\/4 in ascending order.\nAnswer: -1, n, -0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:55 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 30*f + 3383. What is the hundreds digit of c(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8254*b + 4341604. Give c(526).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18933954 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 11690*u + 140138. What is r(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 21, -5\/2, 1.4, 0.5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5549*t - 6973*t + 2 - 1111*t.\nAnswer: -13633*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g - 3. Let n be ((-80)\/(-6))\/(2\/3). Let h(q) = -48*q - 20. Give n*d(w) - 3*h(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-6)\/k))\/k**(2\/5)*((k*k*k**(1\/4)*k*k)\/k)**(-13\/2)*((k*k**(-9))\/k*k*k*k**(-3)*k)**41 assuming k is positive.\nAnswer: k**(-15301\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 10*o**2 - 8*o - 4. Let j be l(9). Suppose 0 = -t - j*p + 84, -3*t + p + 378 = t. List the prime factors of t.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203 and 49.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from gdg?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/105 and -19\/33815.\nAnswer: 710115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 3*n + 3*n + 1 - n.\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 19.13. Let g = 7 - 6.94. Let k = g - u. Round k to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151225?\nAnswer: 5, 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339\/(-450) - ((-4)\/10 + (-611)\/1410).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 6 - 49 = -5*c, 5*c - 31 = -2*l for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -39*a - 12. Let l(t) = -2*t**2 - 56*t - 27. Let i be l(-27). Let z(j) = -3*j - 1. Give i*z(d) - 2*o(d).\nAnswer: -3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26 - 2) + 0 + 1. Suppose 6*w = x + 3*w - 26, -j = -x + 4*w. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 73*o = 74*o + 2, 0 = 4*u - 4*o + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12)*(-32)\/(-42)*1023\/62.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 45656 and -63829.\nAnswer: -18173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.58 in 1132\/5, 2, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -19 (b) -117.61 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 53, -4, -0.3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**2*o*o)**(-2\/45) assuming o is positive.\nAnswer: o**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4922078, 9844133, 14766188?\n\"Answer: 4922055*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tajdz. What is prob of sequence dta?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**5 + 408*v**4 - 20802*v**3 - 1220*v**2 + 61608*v + 41616 = 0.\nAnswer: -1, 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95341?\nAnswer: 67, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04911 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -386, -699, -1014, -1379, -1842, -2451, -3254?\nAnswer: -4299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13132 (base 5) to base 2.\nAnswer: -10000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 4*k + 2, 9*a - 6*a + 4 = -k. Let s be a*(48\/28)\/3. Let d = 29\/2 - 15. What is the nearest to d in -2, s, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y + 4760351 + 6094834 = 113*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - ((-30527)\/490 + 8)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 + 0.434.\nAnswer: -26.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008834 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*i = -32, 18*z = 23*z - 3*i - 42 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1028*v**2. Let q(l) = 335732*l. What is q(y(m))?\nAnswer: 345132496*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l**5\/11 - 24*l**4\/11 - 192*l**3\/11 + 444*l**2\/11 + 186*l\/11 - 420\/11 = 0. Calculate l.\nAnswer: -5, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2987382?\nAnswer: 2, 3, 43, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - -21 - (-28 + 34)) + -5?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117169, -227087, -337019, -446971, -556949, -666959, -777007, -887099?\nAnswer: -997241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:59 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -2. Solve -a = 3*a - 5*v - 32, -5*v - i = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/3300 and 4\/1916915?\nAnswer: 115014900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 7:30 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -13 - (2 - (0 + 3))) + 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -48, -54, -60, -66?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/5 (b) -0.1 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352.03 - -354. Let h = w - 3.97. What is the closest to h in -1, -0.1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 470*b**5 - 577*b wrt b?\nAnswer: 9400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 6*u**2 + 6*u - 4. Let x be k(5). Let q be (-4)\/(-7)*21\/6. Suppose -3*i + 6 = 3*r - 3, 2*i = q*r + 14. Put x, r, -3 in ascending order.\nAnswer: -3, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 3*n + 6. Suppose -29*j + f = -26*j - 7, 2 = f. Let y(x) = x - 1. Give j*y(z) + c(z).\nAnswer: z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 - 125. Suppose 45 = 5*z - m. Let t = -8 + z. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55946140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28396213 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/6)\/b*b*b)\/((b\/(b*b**(1\/7)\/b))\/b*b)*(b**0)**0*(b\/(b*b**(1\/5)))\/b*b*b*(b*b\/b**(5\/6))\/b*b*b*b\/(b*b**(2\/13))*b**(-1\/5)\/b assuming b is positive.\nAnswer: b**(2624\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o + 3*o)*(34*o**3 + 34*o - 34*o).\nAnswer: 68*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73\/315 - 4\/45. Let u(x) = -116*x + 1507. Let d be u(13). Let w = -1 + 0.7. What is the third smallest value in d, -5, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/2333 and 2\/3?\nAnswer: 6999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481 = 30*s + 2*s + 5*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -653816 (base 9) in base 8?\nAnswer: -1371475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/69, 0.5, 0, -5, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, 0, -2\/69, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(0\/((-6)\/(-3)))\/(2\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 0) + 6 + 41 + -39. Let c(a) = a. Let s(f) = 2*f**2 - 2*f + 4. Let p(r) = d*c(r) + s(r). What is p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of ((-28)\/8 + -14)*360\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 758 divide 186685794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - i = 8, 0 = 5*p + 3294*i - 3290*i + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 42 - s**4 - 7*s**2 + 92 - 13*s**2 - 51 to y + p*s**4 + f*s + q*s**2 + z*s**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 12*z + 47. What is w(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in -3, 2\/19, -5, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2 + b**2 - 3 - 11*b + 5*b. Let z be 8 + 756\/(-98) - 94\/(-14). What is l(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000934482 rounded to six decimal places?\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 580, -743, -3698, -9101, -17768, -30515, -48158?\n\"Answer: -136*b**3 - 371*b + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.04 - -3. Let k = h - 0.06. What is the closest to 2 in 1\/5, k, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4488874661?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4))**(2\/11))**(7\/10)\/(((d**(1\/2)*d*d*d)\/(d\/d**4))\/((d**4\/d)\/(d\/(d**(5\/2)\/d)))) assuming d is positive.\nAnswer: d**(-653\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 19*o + 12. Let r(t) = 4*t**2 - 28*t - 18. Let k(x) = -5*r(x) - 7*s(x). Let m be k(-6). Suppose 5*u - 2*u - 12 = m. Solve z = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -175*n**3 + 44*n**2 + 95*n + 3. Determine m(-2).\nAnswer: 1389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 10 + 4 = 0. What are the prime factors of 32\/14 + 4\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 divided by 3216?\nAnswer: -515\/3216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116958865867264*f**4 - 117597423391936*f**3 - 639719630424*f**2 - 1162810721*f - 704969.\nAnswer: -(f + 1)*(48904*f + 89)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 3. Suppose -28*q + 17913657 + 144449159 = 0. Suppose t*g + 1598672 - q = 0. Round g to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1674, 7021, 15934, 28413, 44458, 64069?\n\"Answer: 1783*y**2 - 2*y - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/4160*-260*(-12)\/(-10)*4\/(-246)?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-120)\/(-6) - 5 - 4. Let t(a) = a**3 - 11*a**2 + 2*a - 4. Determine t(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a factor of 123827418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -93*t - 48. Is m(-9) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/(-1734) + (2\/20)\/(51\/1182).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 32276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.8 plus 0.5?\nAnswer: 108.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2\/17, -0.7, 0.5 in increasing order.\nAnswer: -0.7, -2\/3, -2\/17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/21 and 115\/25302606.\nAnswer: 25302606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*(-45)\/(-15). Suppose y*s - 146 = -5*c, -5*c + 131 = 3*s - 83. Suppose -8*j + 12*j - s = 0. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 569*g - 570*g - 1436 - 1514. Let h(a) = -3*a**2. Give h(m(p)).\nAnswer: -3*p**2 - 17700*p - 26107500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -1958429.\nAnswer: -1958429.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-18) + ((-22)\/(-18) - 1). Sort 0.4, r, -3\/5, -5 in ascending order.\nAnswer: -5, -3\/5, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1527 - 1522. Solve -11*k = l + 39 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1026088304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 30*o**5 - 159*o**4\/2 - 108*o**3 + 543*o**2\/2 - 132*o + 18 = 0.\nAnswer: -2, 1\/4, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u + 152 = -3*z, 0 = -2*z + 5*u - 133. Let p = 4847 + -4849. Which is the second smallest value? (a) z (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 13 = -13*y. Let z(p) = -p**3 - p**2 - p - 3. Let a be z(y). Solve w + m + a + 1 = 0, -5*m = w + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/15)\/(4\/119040*128).\nAnswer: -93\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436 a factor of 1272761324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 105*t + 25. Let q(u) = -13*u - 3. Let k(c) = 3*h(c) + 25*q(c). Let g be k(-2). Solve 4*i + 4*p = g, 1 = -p + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294743 is divided by 812.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 26 + 12 = -2*f, -5*f - 125 = -5*j. Let t be 32\/7 + 12\/f. Suppose -2*a + 2*m + 316 = 0, t*m - 641 = -4*a + 5*m. Is a a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39600 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 3 + sqrt(500)*5 + -5 + 3)*6*1*2)**2.\nAnswer: 57600*sqrt(5) + 1802304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(13) - -3*sqrt(832) - (1 + (-2*sqrt(65) + sqrt(65))\/sqrt(5))*-4)**2.\nAnswer: 42*sqrt(13) + 5734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29549824 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**3\/6 - g**2 + g. Let u(t) = -t + 9. Let r(k) = -k**3 - 5*k**2 + 7*k + 15. Let x be r(-6). Let l be u(x). Determine p(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2368110.\nAnswer: 1\/473622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1614, 4, 2, -3 in decreasing order.\nAnswer: 4, 2, -3, -1614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 12. Let h = 0.18 - 5.18. Which is the closest to d? (a) -4 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + 147. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*p - 5*w, p + 4*w = -2 - 4. Let p*v**2 + 1 + v**2 - 2 - 2 = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9*n)\/n*n**(-25)\/n assuming n is positive.\nAnswer: n**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 17*k - 44. Suppose 8 = r + 2*i - 5, -4*r = -5*i. What is the third derivative of 2*b**2 + k*b**5 - 30*b**r - 9*b**2 wrt b?\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*151405.9\nAnswer: 227108.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34755 and 178185?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207693 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8063, 0, 8, -2 in descending order.\nAnswer: 8, 0, -2, -8063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6397*v + 6400*v - 6, 0 = m + 5*v + 25 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x**(-21)\/x)*x\/x**(9\/4) assuming x is positive.\nAnswer: x**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12969\/260 + -666\/13. Let k be (3 - (-1090)\/21) + 10\/(-35). Let f = k - 293\/6. What is the common denominator of f and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaad when four letters picked without replacement from aadddddaaadddd?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 748 - 388. Suppose 0*h - z = -4*h. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*n + 79574 - 79654 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 46. Let z(o) = -o + f - 3 + 9 + 25. Is 11 a factor of z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 240\/20 - (-4 + (-2)\/(-2)). Suppose -2 + 13 = 2*t + k, -5*k = 2*t - l. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 38*t**2 + 123*t + 33. Let d = 250 - 119. Calculate the remainder when d is divided by j(41).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*t**2 + 69*t**2 + 134*t**2 - 797*t**2.\nAnswer: -383*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14170619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3463 times 2.58?\nAnswer: 8934.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - (7 - 12) - (-1 + 1). What are the prime factors of (a + (-2)\/1)*138\/(-10)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*r - 909*r - r**2 + 312*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-21) - 88\/(-3). What is the greatest common factor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800509 is divided by 5252?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 17*u - 13. Let n be v(-18). Let w(f) = f - 5. Let h be w(n). Solve 2*j = -h*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.351 rounded to 1 dp?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -25. Let g = -5 + p. Suppose 0 = 5*c + g*l - 225, -l = -4*c + l + 202. What is the greatest common factor of 120 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**5\/10 - 49*p**4\/6 - 490*p**3\/3 - 792*p**2 - 66*p + 71. Factor b(i).\nAnswer: -2*(i + 2)*(i + 11)*(i + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 225*g + 5629. Let p be a(-25). Solve -11 = w + 2*r, -2*r = p*w + 9 + 23 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 459 + -353. Solve -97*u + j*u - 45 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133\/114*(-1)\/(-7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -39. Let i = 28 + -31. Calculate the remainder when p is divided by (-86)\/(-4) - i\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674 = 3*a - 5*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**4\/28 + 3*h**2\/14 + 2*h\/7 + 44. Suppose y(n) = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3195*p**3 - 3*p + 745?\nAnswer: 19170*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y**3 - 1623*y**2 + 498*y - 1916. Determine j(162).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 1 r when three letters picked without replacement from {r: 1, l: 2, q: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5.434432ng?\nAnswer: 0.000000000005434432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + 1*(-2 + sqrt(76) + 1 + 5))**2.\nAnswer: 4*sqrt(19) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 62*c - 12. Let r be b(20). What is the common denominator of 29\/152 and (r\/40)\/((-24)\/20)?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**2 - r**2 + r**2)*(-2*r**2 - 2*r**2 + r**2) - 128*r**4 - 236*r**4 - 160*r**4 to f*r**2 + w*r**3 + t*r + d*r**4 + j and give d.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.93 - -0.93. Let d = -51 + 58.4. Let w = d - 8. Which is the second smallest value? (a) l (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**7\/420 + w**6\/60 - w**5\/30 - 4*w**2 - 2*w + 185. Let g(i) be the second derivative of y(i). Factor g(f).\nAnswer: -f**2*(f - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - t**4)*(0*t - 3*t + 4*t) + (-2413*t**4 - 216*t**4 - 1387*t**4)*(2*t - t - 2*t + 4*t - 6*t + 0*t + 2*t + 1 - 1 + (1 + 2 - 4)*(-2*t + 4*t - t)).\nAnswer: 8031*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.6 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 1\/3, -20, -7 in ascending order.\nAnswer: -20, -7, -5, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22839 - 105.24161. Round q to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + -12 - 10) + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*l + l**3 - 29*l**2 + 460 + 29*l**2 - 461 to the form f*l**3 + o + w*l + v*l**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1578 and -103\/2160.\nAnswer: 568080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = v + 5, -2*n + 3*v = -5*n + 12. What is the tens digit of n\/2*(-3)\/((-36)\/704)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-3))*s*s)**(-7\/6)\/(s*(((s**(-7)\/s)\/s)\/s)\/s)**(10\/3) assuming s is positive.\nAnswer: s**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 3) in base 9?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 1019, 2316, 4153, 6542?\nAnswer: 9495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4522, -36264, -122418, -290188, -566778, -979392, -1555234, -2321508?\n\"Answer: -4534*y**3 - 2*y**2 + 2*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*o - 3)*(2 + 3 - 3) + 0*o + o + o + 0*o - 4*o + 2*o - 2*o + o + 0*o - 1 + 1 + 2*o + (o - 3*o + o)*(3 + 1 - 2) - 12*o + 42*o - 16*o.\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27705*z + 27805*z + 4400 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, 364, 1238, 2940, 5746, 9932, 15774, 23548?\n\"Answer: 46*x**3 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2867 + 3*o + 3002 + 2928 - 8676.\nAnswer: 3*o + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, d: 4, g: 1}. Give prob of sequence zz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -68.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30727 + -8356. What is the remainder when a is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*y = -19, -2*b + 14 = 3*y - 7*y. Let q be 40\/(-6) + (-2)\/b. Let k be q\/8 - (-3)\/4. Solve -3*s + 2*x = 23, k*s - 5*s - 21 = x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 5*h + 6, 50 = -2*t + 4*h + 60 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 + -20. Let v = -5 + w. Are -95 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.522, 3\/2, 13\/176, 3 in ascending order.\nAnswer: 13\/176, 3\/2, 1.522, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (45 - 78 - 11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 64*k - 41421. What is g(171)?\nAnswer: -1236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -595*z - 4186. What is the remainder when u(-10) is divided by 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5))**18\/(t**(2\/7)\/(t\/t**3)) assuming t is positive.\nAnswer: t**(-646\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + -65233?\nAnswer: -65215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15076 is divided by 1370.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 14*j + 3. Let x(m) = -4*m**2 + 70*m - 14. Calculate -14*o(r) - 3*x(r).\nAnswer: -16*r**2 - 14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*v - 10, v - 20 = 4*v - 4*t. Suppose 2*y - 16 = -v*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 1:44 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2030 is divided by 655.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*p + 15498, 0 = 3*t - 2*p + 9213 + 2445. Is -3881 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25065 + -19484. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -81485282959078 and 0.2.\nAnswer: -81485282959077.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 48. Suppose m*n = 2*n + 2142. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 848, 1276, 1698, 2114, 2524?\n\"Answer: -3*z**2 + 437*z + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmmbbmyfbffbytlbbm. What is prob of picking 3 b and 1 m?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**3 - y**2 - 4*y - 2. Calculate r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3151 + -1.8257. Let d = -21.15 + 22.65. Let w = d + i. Round w to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-3 + 4)) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)\/y*y*y**(-1\/3)\/y)\/(y\/y**(-6\/5)*y*y**(-4)))**(8\/5) assuming y is positive.\nAnswer: y**(-94\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1691472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 1. Let o be y(0). Let g(f) = o - 11*f - f**2 - 2 + 4. What are the prime factors of g(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-56)*(-231)\/(-22))\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-250)\/630 - 17\/(-357)*15.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/11, 13\/5 in increasing order.\nAnswer: 2\/11, 0.5, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265572825.\nAnswer: 3, 5, 7, 193, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - y - 3)*(-5097 + 2700 + 4718) - 2*y + y + 3*y.\nAnswer: -2319*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvvbw. What is prob of picking 1 b and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2. Suppose 0*j + 3*n + 3 = 2*j, 2*j = -2*n - 2. Let v(i) be the second derivative of j + i - 1\/6*i**3 + 0*i**2. What is v(f(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -18. Suppose -k + v*k = 4*c - 218, 4 = 2*k. What is the remainder when c is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 2*p - 2*p)*(5*p + 4*p - 6*p)*(-2 + 2 - 2*p) + p**2 + 3*p**5 - p**2.\nAnswer: 15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 0*d**3 + 0*d**2 - 3 - 7\/4*d**4 - 30*d. Find the first derivative of g(n) wrt n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*u - 2*c, -9553*u + 5*c = -9548*u - 0*c - 50 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.43 + -0.93. What is the fourth biggest value in -18, -0.2, 3, f?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.113*-0.045.\nAnswer: -0.005085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -7, 704, -5, 2\/11, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17a61 (base 14) to base 4.\nAnswer: 32210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 151652099311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*c - 3*u, 113*c - 116*c = -2*u - 4. Suppose p = -4*p - 5*r + 30, 0 = -3*p - r + 10. Put p, -2, 5, c in ascending order.\nAnswer: -2, c, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 1130700.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.5, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -60, 7 in ascending order.\nAnswer: -60, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 - -122. Suppose 15*j = v + 33. What are the prime factors of (1\/(-2))\/(j\/(-296))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10b6488 + -5?\nAnswer: -10b6491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699775?\nAnswer: 5, 23, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10972.252 - 0.05?\nAnswer: -10972.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 10, 54.15, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 4*w**2. Calculate the remainder when 16 is divided by a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**5 + 0*p**5 + p**5)*(5 + 13 + 19).\nAnswer: 74*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/432563527 and -85\/235943742.\nAnswer: 2595381162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -15*t - 15. Let p(c) = c + 1. Give 33*p(s) + 2*r(s).\nAnswer: 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxxfffffffff. What is prob of picking 3 f and 1 x?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 divided by 2?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -39. Let m(l) = 11*l + 3. Let i = -3920 - -3923. Let k(w) = -12*w - 4. Determine i*k(d) + r*m(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/66)\/((-9)\/6)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -134127?\nAnswer: -134127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5668746410.\nAnswer: 2, 5, 3389, 167269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*v + 2172, -4*v - 6*s = -2*s - 2180. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8614338 is divided by 62422?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 132. Let w = 169 - t. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -216*u + 107. Suppose c - o - 12 = 2*c, -3*c + 2*o = 11. Is k(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 404 and 338.\nAnswer: 136552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4355, 4352, 4349, 4346?\n\"Answer: -3*h + 4358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 24 - 0 - 9) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 3 - 3)*(0*i + 0*i - i) + (14*i + 2 - 19*i - 32*i)*(-6*i + 8*i + 5*i) as s + c*i + y*i**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34255603?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3860, 3850, 3840, 3830, 3820, 3810?\n\"Answer: -10*r + 3870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*x - 46, x = -0*x + y - 17. Let t = -2 - -2.1. Which is the nearest to t? (a) 4\/9 (b) -3\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or -71?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y\/(y\/y**(-1\/3))*y*y)\/y))**(-2\/97)*y*y\/(y**(-2\/5)\/y)*y**(-7)*((y*y**9*y)\/y*y**(-10)*y)**39 assuming y is positive.\nAnswer: y**(51527\/1455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)*26\/(-13). Solve -d*n + 1 = -7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11 - 11 - 13*s + 7 + s**2 - 7. Let d be v(15). What is the highest common factor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/(-10) - -4)\/(2\/(-3)). What is the third smallest value in -3\/5, 3, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2359 and 85680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f. Let c(o) be the second derivative of 5*o**4\/12 + o. Give c(d(k)).\nAnswer: 125*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.2. Let w = -133\/30 + 23\/5. What is the smallest value in -3, w, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36742, -73506, -110270, -147034, -183798?\n\"Answer: -36764*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n - 3 - 3*n**2 - 5*n + 12 + 0*n.\nAnswer: -3*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 * -2960.21\nAnswer: -263458.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 441357120 divided by 46?\nAnswer: 9594720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(6\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 210230678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 10442914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8861?\nAnswer: 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 - 2.5. Suppose s + 4*v = -0*v - 22, 3*s = -3*v - 21. Let x = -7 - -2. What is the smallest value in i, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351132 (base 6) to base 11\nAnswer: -20666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*((-56)\/(-7) - 1580). Suppose -5*j - 81 = -5*p + 74, -3*p + 25 = -j. What are the prime factors of (-22)\/187 + g\/j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f - 2. Let c be a(1). Let m = c - -8. Calculate the remainder when 41 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/120 - 2*g**5\/15 - g**4\/3 - 3*g**3\/2 - 3*g**2. Let r be i(9). Solve -2*m + r = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (16211\/1075 - 13)*2\/(-4) and -62\/1285.\nAnswer: 6425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 77 + -48 + 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p**2. Let u(s) be the first derivative of 4*s**3\/3 - 20. Give u(g(t)).\nAnswer: 484*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 6. Suppose 3*g = -3*i - g - 7, 3*i + 3*g + 3 = 0. Suppose i*n - 104 - 94 = 0. What is the highest common divisor of n and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4028021?\nAnswer: 103, 39107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207525.\nAnswer: 3, 5, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = r. Solve r = -2*y + 13 - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428*z = -807 - 49. Let h(a) = 6*a + 1. Let s be h(1). Solve 0 = -3*c + 5*d + 22, s*d = -4*c + z*d + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3)*u)**32*(u**(-3\/4)\/u)\/(u**(3\/4)*u))\/((u*(u\/(u\/(u\/u**(-1\/4)))*u)\/u*u)**(-18)*u**5*u**(2\/21)) assuming u is positive.\nAnswer: u**(424\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -97717\nAnswer: -4\/97717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**26\/(x**2*x**(-5\/6)))\/((x**1*x*(x*x*x**(1\/12)*x)\/x)\/((x\/((x**(-2)\/x*x)\/x))\/x*x**1)) assuming x is positive.\nAnswer: x**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-84) + (-12)\/(-7). Suppose m = 1 + v. Let t be 6*(-2)\/4*-1. Solve 17 = p + 5*y, 3*p + m*y - 6 = -t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -34, 0.18, 7, 0.2, 1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/9 - (2 + -2 - 7). Suppose 105 = i*l - 42. Let m = l + 69. What is the greatest common factor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 116886?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.3802 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16783536 is divided by 1220.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 902.6 - 903. What is the fourth smallest value in -2, 10, 4, z?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19153800 * -9.\nAnswer: 172384200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 72*p. Let h(c) = 10*c - 30. Let j(n) = -62*n + 195. Let l(x) = -39*h(x) - 6*j(x). Give 2*i(f) + 9*l(f).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 3\/10, -2\/269 in descending order.\nAnswer: 3\/10, -2\/269, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.332081 * -0.5.\nAnswer: 8.1660405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*v + 1279*v = -56 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 68*a. Let z(u) = 34*u. Calculate z(c(n)).\nAnswer: 2312*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3270738*w**2*z**4 + w**2*z**2 + w*z**5 + 4*w*z**2 - 11*w - 1478*z wrt z?\nAnswer: -78497712*w**2*z + 60*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84361892023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 486?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -19. Suppose m + g - 41 = -4*g, -v*g + 57 = 2*m. What is the lowest common multiple of m and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11859b4 (base 14) in base 3?\nAnswer: 120210021100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1726017188\/44551 - -503654\/13. Let q = -4\/149 + l. Let x be (-8)\/7*(-3)\/12. Which is the nearest to x? (a) -2 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 9 - (1 + 1)) + -138 + 154.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3 = 7. Let h(y) be the second derivative of 0*y**4 + 0*y**3 - 1\/10*y**5 - y**2 + 0 + p*y. What is the first derivative of h(d) wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 divided by 103?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/21)\/((-55)\/(-1925)). Is j > 0.0126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101010001010101101011 (base 2) in base 6?\nAnswer: -432244015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1708 and -0.5?\nAnswer: 1708.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 12) + -17 + (-4 - -9) - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {n: 2, m: 1, r: 2, z: 2, a: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r + 2*y - 6, 2*r - 10 = -4*y. Suppose 0*b + 3*b - 1 = d, -d = -4*b + 2. What is the units digit of (b\/1)\/r*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = 0. Suppose n*d + d = 2. Suppose -4*x + 15 = x. What is the remainder when x is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10513, -10507, -10497, -10483, -10465, -10443?\nAnswer: -10417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 0*k - 258. Does 21 divide (-4)\/6*(4 - k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50408352?\nAnswer: 2, 3, 41, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -21. Suppose -d = 2*d - 513. Let z = -80 + d. What is the highest common factor of n and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/6 - 21127*a**2\/6 = 0. What is a?\nAnswer: 0, 21127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520710 rounded to the nearest 10000?\nAnswer: 1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i - 4. Let m = 31 - i. Suppose 0 = -5*g + 4*q + m, -3*g - 1 = -0*q + 2*q. Solve 0 = -4*b - 0*d - 2*d - 2, -g*b + 6 = -d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 102, -5, 27, 414, -1 in ascending order.\nAnswer: -5, -1, 0, 27, 102, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/9180501 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b + -8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 42*r = -77. Which is the nearest to 0.2? (a) -0.5 (b) r (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3798, 14312, 31548, 55506, 86186, 123588?\nAnswer: 167712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**4\/24 + 19*l**3\/6 + 1000*l**2. Let t(n) = -1. What is h(f) - 3*t(f)?\nAnswer: -f + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -2)\/((-18)\/8). What is the second smallest value in d, -0.06, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 3, g: 4, f: 3, s: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627068?\nAnswer: 2, 13, 31, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27716 and 17056.\nAnswer: 221728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {a: 4, i: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80260, -79890, -79516, -79138, -78756, -78370?\nAnswer: -77980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**5\/60 - 23*s**4\/24 - 4*s**3 + 47*s**2 + s. Factor m(x).\nAnswer: (x - 24)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 0.8. Let l = -3.41 + 0.21. Let g = r + l. Which is the smallest value? (a) g (b) -1\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0*c + 5\/4*c**3 - 19*c**2 - 2 + 3\/32*c**4 - 1\/80*c**5. Suppose f(n) = 0. What is n?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t + 4*t - 25*t + 551 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/19 - 1456*m**3\/19 - 29934*m**2\/19 - 169880*m\/19 - 141400\/19 = 0.\nAnswer: -707, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040736 is divided by 2828.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-266 - 30*j + 262 - 115 + 148*j - 110)*(4 - 2*j**3 - 4) in the form c*j + d*j**3 + o*j**4 + y + a*j**2 and give o.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - g + 1. Let l(t) = -t**2 - t. Let m(n) = b(n) - 5*l(n). Calculate m(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-69 - -9) + 47.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 - 15*h**2 - 9*h + 9. Let o be (-6 - 485\/(-55)) + 4\/22. Suppose 0 = y - 4*g - 3, -3*y + o*g + g = 23. Is s(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c**2 + 95*c + 3662. What is z(-28)?\nAnswer: -5270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.1. Let l = -1.94 - 0.06. What is the nearest to j in -2\/11, 4, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -49. Suppose 62 = 2*m - 36. Let r = m - 345\/7. Which is the nearest to r? (a) -0.4 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.011 - 0.289. Let p = 0.07 - -0.43. Let k = -57 + 401\/7. Sort y, p, k.\nAnswer: y, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246095 and 302535?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - -236. Suppose -4137*t - 1749 = -4148*t. Calculate the greatest common factor of j and t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*q - 6*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(30\/200) - 16. Solve 5*k = 49*x - 52*x + 25, r*k + 17 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 6*j - 7*j. Let z(t) = -124*t - 281. What is the remainder when j is divided by z(-3)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.47 + 15.17. Let i = o + -1.7. Let m = i - 13.3. Which is the second smallest value? (a) 3 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 4 = -2*s. Suppose -i + 2*d + s + 5 = 0, -5*i + 50 = -5*d. Let r = 28 + i. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 - -5)*(-3)\/(-5). Calculate the remainder when ((-33)\/z + 3)\/1 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 41336762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 661. What is the units digit of v(47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3 + 3)*(2*t**2 - 3*t**2 + 2*t**2) + (-2*t**3 - 3*t**3 + 2*t**3)*(-2 + 0 + 4).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 115*a - 154. Let d be p(26). Suppose -5*x + 2826 + 704 = -5*k, -4*x + d = -k. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 15684*n**3 + 775719*n**2.\nAnswer: -3*n**2*(n - 49)*(n + 5277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y**2 - 9*y + 2. Let s(o) = 8*o**2 - 6*o + 1. Let x(f) = 5*c(f) - 8*s(f). Determine x(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**4 - 92*g**3 - 264*g**2 - 260*g - 86 = 0.\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -6. Let g be (4\/i)\/(32\/144). Sort 1, g, 2 in increasing order.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 13*c**5\/120 - 3*c**3 + 7*c**2. Let o(b) be the first derivative of j(b). Let i(t) = -t. Give o(i(n)).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -11. Let p = -27 + 29. Let w = -1 - p. Sort q, -2\/5, w in decreasing order.\nAnswer: q, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/531731016 or -1?\nAnswer: 1\/531731016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b**(2\/3))\/((b\/b**(-2\/15))\/((b*b**(-8))\/b)))**(-6) assuming b is positive.\nAnswer: b**(264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7))**(1\/7)\/(c**(2\/13)\/(c*c**(-7)))*((c*c*c**(1\/7)*c)\/c)\/((c\/(c**(-1\/4)\/c))\/c)*(c*c**7)\/(c*c**(-2\/15)) assuming c is positive.\nAnswer: c**(70001\/38220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10041403 (base 5) to base 7\nAnswer: 454503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 20. Let o(w) = 103*w - 4. Let u(a) = 903*a - 35. Let y(t) = -35*o(t) + 4*u(t). Calculate y(c(s)).\nAnswer: -14*s**2 + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let z(k) = 45*k. Give z(w(f)).\nAnswer: 90*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 76 = -5*c, 5*r + 402 = -6*c + 3*c. Suppose -a + 3*f + 130 = 0, 8*a = 3*a + 5*f + 610. Let m = a + r. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24)*4)\/(2\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, x: 1, g: 7, p: 4, s: 4, v: 1}. Give prob of sequence uxg.\nAnswer: 7\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 7*a**2 - 2020*a + 1007*a - 8 + 1013*a.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d - 11*d + 7*d - 11*d to a + r*d and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + 3*2*sqrt(63) + sqrt(63) + 3*sqrt(567) - -2*(sqrt(3087)*-2 + 4 + sqrt(3087))**2.\nAnswer: -285*sqrt(7) + 6206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 5901401.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = 5*u + j - 2*j, 0 = -2*j - 6. Let q = 160 - u. Suppose 5*z + 20 = 70. What is the highest common divisor of z and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332 is divided by 575?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1415, -2, -139, 1\/5 in ascending order.\nAnswer: -139, -2, 1\/5, 1415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 314.581 + 3.219. Let c = -421 + q. Round c to the nearest integer.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*g = 102*g + 4280. What is the remainder when g is divided by 90?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -42) + -8 + -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -2263617.\nAnswer: -20\/2263617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296244 is divided by 2029?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 8*g**2 - 11*g - 5. Let b be q(5). Let o = b + -113. Calculate the highest common factor of o and 234.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 458587 = -154*m + 639229. Does 80 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-27) + 43\/9. Suppose -7 - p = -2*x. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -122*j**3 - j**2 - 7*j. Let t be y(-2). Let m = -155 + t. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 4*m + (-2*m - 3*m + 3*m)*(0 + 1 + 1) - 8*m - 8 + 8.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/6*14\/(-21). Suppose 5*c + 3*y - 50 = 0, 0 = -c - 2*c + d*y + 30. Solve -5*i + 0*i - c = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38332 - 9851338\/257. Sort 2, -0.1, -0.4, w in descending order.\nAnswer: 2, w, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 0*l = 60. Suppose l*b = 1162 + 888. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -225*b**3 + 295*b**3 + 314*b**2 + 341*b**2 wrt b?\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120.00441 + 120. Round i to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1))\/g)\/(g*g**(-7)*g)*(g*g**(-1))\/g**(-1))**(-2\/3) assuming g is positive.\nAnswer: g**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135.3 + -135. What is the nearest to -3\/22 in m, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4*h + 48 = -x, -5*h - 4*x - 73 = 0. Let j be 3195\/153 + (-2)\/h. Solve 2*b + j = 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1336, -1347, -1372, -1417, -1488, -1591, -1732?\n\"Answer: -y**3 - y**2 - y - 1333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5771 - -20.56\nAnswer: 5791.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 12, 17, 14, -3, -40, -103?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1299099, 2598515, 3897931, 5197347?\nAnswer: 6496763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 + 29*j**2 - 27*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 - -131. Solve -b - 10 = 2*n, 5*n - q*b + b = -25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/204*-16*((-63)\/66)\/(-7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + y**2 + 7. Let m(r) = -r**3 + r**2 - r + 6. Let n(g) = 4*f(g) - 3*m(g). Let s be n(0). Solve 0*j - 3*j = -4*b + 23, 0 = 2*b - s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1182.9 and -4?\nAnswer: -4731.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644670 and 670995?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2221611 (base 7) to base 9\nAnswer: -457313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 235, 208, 143, 22, -173, -460, -857?\n\"Answer: -3*l**3 - l**2 - 3*l + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155 + 279. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*u - 230, -3*x + 16*u = 20*u - 166. List the prime factors of 4\/20 + 16140\/x.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at least as big as -697\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-111)\/(-21) - (-6)\/(-21). Suppose -3*d - k = k - p, -5*d = -k - 17. Solve d*j = 3 - 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:42 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/5, 2, -13, 0.12, 1\/7 in ascending order.\nAnswer: -13, -2\/5, 0.12, 1\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 42*j - 75 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.267 - -1.967. Which is the nearest to 1\/2? (a) 0.2 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let o(h) = 4*h - 5. Let c = 2 + 1. Let w(i) = c*y(i) - o(i). Let t be w(1). Solve -g - t = 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -114 in ascending order.\nAnswer: -114, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 54530441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l. Let c(t) = -3*t + 7. Let s be c(-4). Suppose 0 = 7*x + 5 - s. Let h(r) = -2*r**x - 4*r**2 + 2*r**2. Give h(w(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 8) to base 14\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 3958.975.\nAnswer: 3958.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c + 88 = -5*v, -12*c + 621*v = 623*v - 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26227954?\nAnswer: 2, 67, 195731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*o - 66 = -3*o, 0 = 4*r - 3*o - 74. Let h(z) = -z + 22. Let t be h(18). Suppose -s + 0 = -3. Solve -2*v = t*d + r - s, 4*d = 2*v - 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:34 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q + 7. Is d(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.937 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqeqeq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 757 - 243. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 101111010001100111?\nAnswer: -101111010001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/2954556 and 161\/1969704.\nAnswer: 5909112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 467585031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/(-1)*(-7)\/126.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.514149 + -0.516449. Let s = -47.9 + 2.9. Let i = s + y. Round i to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a = -38*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 2. Suppose 39 = -387*n + 374*n. Give l(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -555.2 + 551.2. Which is the closest to 0.2? (a) v (b) 11 (c) 1\/3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4))**(1\/16)*(y*y\/y**(11\/3))\/y*y**(-8) assuming y is positive.\nAnswer: y**(-2051\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8660 by 10.\nAnswer: -866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t - 4*w + 16, 5*t - 65 = -5*w. Let y(n) be the first derivative of 3\/2*n**2 + 1 + 3*n. Let z(u) = 13*u + 13. Calculate t*y(m) - 4*z(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 550, 1098, 1646, 2194, 2742?\n\"Answer: 548*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 10*w + 4*c + 16 = 0, 11*w - 5*w + 8*c + 32 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p**2 + 4*p**2 + 6*p**2)*(-12*p + 19*p + 12*p) + (0 - 1 - 1)*(0*p**3 + 6*p**3 - p**3).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70656.19ug to nanograms.\nAnswer: 70656190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 2336, -23 in descending order.\nAnswer: 2336, 3, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 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: Solve 0 = -5*w + 4*o, -4*o + 0*o = 2*w - 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/7 <= 1412056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -5*v**4\/2 + 34*v**3\/3 + 31. What is the third derivative of g(b) wrt b?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - -12113?\nAnswer: 12126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91445176.\nAnswer: 2, 17, 19, 43, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 146 = 5*b - 3*b, -4*z = -2*b + 152. Is b a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 8.06. Let p = o - -0.14. Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49006159285 + 0.5.\nAnswer: -49006159284.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + m = -4, 3*s + 2*m = -13 + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - k + 15*k**3 + 6*k**3 - 20*k**3 - k**2 in the form i*k**2 + p*k + u + f*k**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 1 - 1) + 3. Let n = 6 - r. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2420*h*q**2 + 18*q**2 - 66*q - 2 wrt h.\nAnswer: 2420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -268367\/7686 + 2142\/61. What is the common denominator of 53\/6 and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-6)\/((-6)\/2)). Suppose t*c = 2*c + 10. Let p = 7 + c. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21875\/2450 + 450\/(-70)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30969 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 2. Let w(a) = -a - 2. Let t(s) = -10 + 3 + 1 + 5. Let x(r) = -6*t(r) + 2*w(r). Determine 3*v(f) - 2*x(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 3:01 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -1 + -11 + 4. Let a = v + 4. Is a\/(-33) - 19572\/(-44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -11 + (-5)\/(15\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*f + 8 + 4 = 0, -2*m = -f - 2. Let k(h) = 5*h**m + 2*h - 4*h - 8*h**2 + 2. Let r(s) = -16*s**2 - 11*s + 11. Determine 22*k(b) - 4*r(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -186, -173, -160, -147, -134, -121?\n\"Answer: 13*h - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x)\/x**(3\/5)*(x*x**(16\/5))\/x*x**(-4\/13)\/x assuming x is positive.\nAnswer: x**(-306\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2 - 1537384*m = 0. Calculate m.\nAnswer: 0, 768692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.99360489 times -0.5?\nAnswer: 0.996802445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**3\/3 + t**2 - 25*t - 11. What is the units digit of w(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441 (base 5) to base 12.\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -296 - -290. Let b = -138 + 139. What is the smallest value in -1, 0, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -256, -276, -312, -370, -456?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10365, -10368, -10373, -10380, -10389, -10400, -10413?\nAnswer: -10428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 - 3?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*i - 3*c + 24, 0 = -5*i + 5*c - 5. Suppose -i*g - 24 = -132. Let z = 47 - g. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*f**2 - 22*f - 104*f**2 - 26*f**4 wrt f.\nAnswer: -312*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + q + 1. Let c be o(-1). Let s be 0\/4*c\/2. Solve 4*z = 2*w - w - 12, -5*z + 4*w - 4 = s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/29 in -7.2, -1\/4, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 138*x**2 + 16799*x - 16333417 wrt x?\nAnswer: 276*x + 16799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -378 (b) 5 (c) 2 (d) -2\/115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 369562775?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -6. What is the nearest to 0 in -2\/7, -1\/14, t, 3?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iupt when four letters picked without replacement from stszpui.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 165.99289.\nAnswer: -162.99289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -b945 (base 12) in base 13?\nAnswer: -935c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.019*2014495.\nAnswer: -38275.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 175211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 204630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 32. Suppose v - w = 4. Solve 4*f + v = 3*z - 0, -f + 3 = 2*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2 - 2)*(0*d**3 + 0*d**3 - 2*d**3) + (2*d**3 + d**3 - 5*d**3)*(-116 + d - 9*d + 97).\nAnswer: 18*d**4 + 38*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = u - 101, 5*u = 3*g - 0*g - 70. Let f = g - 21. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - u - 4, 5*u + 14 + 2 = -4*b. Let o(q) = -q**2 - 6*q - 4. Let h be o(b). Suppose -7*p = 2 + 5. Put p, 1, h in ascending order.\nAnswer: p, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x + 3. Let y be l(6). Suppose -7*h + y = -4*h. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = 4. Suppose -a*q - 7 + 0 = 4*u, 5*q + 23 = 4*u. Is u\/7 - 7845\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-s + s - 2*s**2)*(-2*s + 0*s + 5*s) + 2*s**3 - 2*s**3 + 4*s**3)*(-2*s - 2 + 2) to r*s**4 + m*s + a*s**3 + j*s**2 + v and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 10:47 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/48*(-55)\/7700*-105.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380, 387, 398, 413, 432, 455, 482?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1572, -1569, -1564, -1557, -1548, -1537?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25304722?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 7*o**2 - 8*o - 7. Let r be w(-6). Suppose 15 = -5*a, -5*s - 5 = -4*s + 2*a. Put r, s, 3 in descending order.\nAnswer: r, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s + 6*s**5 - 6*s**5 - 5*s**5 wrt s.\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**8)**(-4\/9) assuming m is positive.\nAnswer: m**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.05, -5, -30?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 15*u**2 + 14*u - 20. Give g(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205653 and 7203?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 9, 0.26, 0.4 in descending order.\nAnswer: 9, 0.4, 2\/7, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 5*p**4\/24 + 2*p**3 + p**2. Find the first derivative of q(s) wrt s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b**3 + 200*b**2 + 2*b**3 + 2293 - 4538 + 1340 - 4*b**3 wrt b?\nAnswer: 6*b**2 + 400*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-232)\/(-261))\/((-1)\/(-9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1537 - -1567. Solve -5*d = 25, 0 = -5*i + d - v + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 646 + 3?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -346?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u**4 + 2*u**5 - 17*u**4 - 24*u**3 - 6*u + 27*u**2 + 19*u**5 + 9*u**3 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27168871.\nAnswer: 383, 70937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + 10?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 6640*b + 6644.\nAnswer: -4*(b - 1661)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 76.08. Let z = 0.08 + -0.16. Let b = j + z. What is the biggest value in -0.3, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = -12*j. Suppose 4*t + f - 39 = j, 22 + 23 = 5*t + 5*f. Let q(v) = v**3 - 5*v**2 - v + 7. What is the remainder when q(6) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7680 and 5120?\nAnswer: 15360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2))**(-43))**(-16))**(-44) assuming i is positive.\nAnswer: i**60544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = -8, 68 = 5*p - 4*x. Solve 6 = -2*g - 2*s + 2, 4*s = -p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/6, 1\/5, -400\/7, 4, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-44)\/(-56) + -1 + 2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*1 - (-12 - 28\/(-2)). Solve -2*n - k = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 8*r - 0*r. Suppose 0 = -c - r + 49. Suppose -5*o + 498 = -3*v, 3*v - 95 = -c*o + 397. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50055711 is divided by 775?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5998332*x. Let a(w) = w. Give a(j(r)).\nAnswer: 5998332*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -420*p + 423?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) 1\/4 (b) 58\/39 (c) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -167, -1\/4, -0.3, 0.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -41. Suppose -92 = u*m - 124. Calculate the least common multiple of 14 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7619 + 7614. Sort 7, 338, b in decreasing order.\nAnswer: 338, 7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**4\/24 + 7*a**3\/6 + a**2. Give u(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/((-2)\/(1\/1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 55*r + 3*v, -173 = -r - 4*v - 142 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, -42, -95, -168?\n\"Answer: -10*o**2 - 3*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)\/s)**(-3\/22)\/(s**(-1\/7)*s**4) assuming s is positive.\nAnswer: s**(-283\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1472, 2849, 4176, 5453, 6680, 7857?\n\"Answer: -25*q**2 + 1452*q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 4*i**2 + 3*i - 6. Let h be w(-5). Let d(x) = x**2 + 10*x - 19. Let y = -5 + -7. Let t be d(y). Put t, h, 1 in decreasing order.\nAnswer: t, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 532?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112444121 (base 5) to base 3.\nAnswer: 222012011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*r + 6)*(-r**4 - 3*r**4 + 5*r**4) - 6 - 14*r**5 - 1 + 7*r**5.\nAnswer: -2*r**5 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.4. Let n be (5 - 43\/8)*10. Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8650 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 10*c - 5. Suppose -3*q + 4*u + 217 + 103 = 0, -2*q = -2*u - 210. Let k be 2\/(-6) + q\/12. List the prime factors of y(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 413170278 + 4?\nAnswer: 413170283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4063 is divided by 312.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 1. Let y be c(2). Find the third derivative of -3*b**5 - 5*b**5 + 5*b**y - 4*b**5 - 3*b**2 wrt b.\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/44)\/((-84)\/(-224))*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9.549 * -1\nAnswer: -9.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1280184 = 177816. Round s to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 4 (c) 79 (d) 16\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m + 19*m - 211*m + (-2 + 3 + 0)*(3*m - m - m).\nAnswer: -180*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.26\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 4 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 3*s - 3. Let m(t) = 2*t**2 - 8*t - 8. Let g(h) = -8*j(h) + 3*m(h). Let p(z) be the second derivative of -2*z**3\/3 + z. Give g(p(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -3e60bd4?\nAnswer: -3e60bd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -50*a**3 - a**2 + 5*a + 12. List the prime factors of x(-4).\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:37 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -399, 3 in ascending order.\nAnswer: -399, -69, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 566214 not equal to 566217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1743313 from 6.865.\nAnswer: 7.0393313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 6*q - 325 = q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c = -698 - 15422. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2e7a5 (base 16) to base 3\nAnswer: 100200010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166361*j**3*y**3 + 124*j**3*y - 204272*j**2*y**2 - 3*j**2*y - 850*j*y**3 wrt y.\nAnswer: 998166*j**3 - 5100*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3506, -7022, -10542, -14066, -17594?\nAnswer: -21126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.017061619818 + 331946.082930380182. Let n = 331945 - r. Let p = 1.1 + n. Round p to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**7\/420 - h**6\/90 + h**5\/60 + h**4\/6 - h**3 + 12*h**2. Let i(z) be the first derivative of u(z). Factor i(q).\nAnswer: -2*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 22. Suppose 230*a - 24 = 234*a. Calculate the remainder when o is divided by -5 - -22*a\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958997745.\nAnswer: 5, 23, 37, 151, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 16\/43 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 2*w. Let d(s) = 6*s**2. Give d(j(k)).\nAnswer: 6*k**4 + 24*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/3)\/b*(b\/b**(-1\/7))\/b)\/(b\/(b\/(b*b\/((b**22\/b)\/b)*b*b))*b\/(b\/b**(1\/33)*b)) assuming b is positive.\nAnswer: b**(1292\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (242\/(-433 - 3197))\/(-6*6\/(-20))\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12*o**2 + 1. Calculate the remainder when n(-2) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 24*d**3 - 3*d**2 + 20*d + 76. Let u(p) = -20*p**3 + 2*p**2 - 15*p - 77. Calculate -5*u(g) - 4*y(g).\nAnswer: 4*g**3 + 2*g**2 - 5*g + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19 - 0.39. Is a smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from hhyockkkhoyckhoho?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/((-30)\/(-927))*2.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*b - 0*b + 9, -12 = -2*t - 2*b. Suppose 0 = t*w - 6 - 69. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**16\/((q*q\/(q*q*q*q*q\/(((q**(2\/21)\/q)\/q)\/q)*q*q)*q)\/q)*q**(-9)*q**23 assuming q is positive.\nAnswer: q**(796\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(14\/(-3) + 4). Let o be (-103)\/r*(2 - -28). Suppose -3*w - 7*w + o = 0. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -932 (base 16) in base 13?\nAnswer: -10c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(390)\/(sqrt(10)*2))\/sqrt(3).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t - 9 = 0. Is 2\/t*(-1 + -17) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -94.53 and -8194031?\nAnswer: 8193936.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = -2*t. What is the greatest common divisor of t and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 34, 38, 42, 46, 50?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 16*h - 10. Let i be y(16). What is the least common multiple of (4\/i)\/(2\/(-70)) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20196\/119)\/33*4\/(32\/(-28))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbnjjgn. What is prob of picking 1 n, 1 b, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k\/((k*k*k**11)\/k*k))\/k)*k*(k*k**(2\/13))\/k*k)**(29\/5)*k\/((k*k**4)\/k)*(k*k**(-4\/7)*k*k)\/k*(k**7*k)\/k*(k**(1\/11)\/k)\/k assuming k is positive.\nAnswer: k**(457516\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3685904 and 11288081?\nAnswer: 180609296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -164, -246, -328?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2. Let i(q) = -338*q - 1258. Determine i(d(r)).\nAnswer: -676*r**2 - 1258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 0 + (-68 - -73)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3305 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4492972, -4492971, -4492970?\nAnswer: -4492969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -214*a + 2277. Calculate x(10).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 4 + 7*z - 2 - 9*z. Let q(b) = -b + 1. Let d(c) = j(c) - 2*q(c). Let d(o) = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3783.135cm in meters?\nAnswer: 37.83135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r + 646. Let u be p(52). Which is smaller: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2394159 divided by -43?\nAnswer: -2394159\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -31. Sort -0.5, -1, q in decreasing order.\nAnswer: q, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50444, -50451, -50458?\nAnswer: -50465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 2*u**2 + u**2 + (0*u**2 + 0*u**2 - u**2)*(-1 + 5 + 0) as m + w*u + f*u**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*k**2*l - 59*k**2 - 2*k*l**2 + l**2 + 3*l wrt k?\nAnswer: -8*k*l - 118*k - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/2 - 62445*b**2 - 374688*b = 0.\nAnswer: -6, 0, 124896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4848156 and 102?\nAnswer: 82418652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (295*n + 231 + 313*n - 615*n)*(3*n + 2*n - 7*n) + (-2*n + 0*n + 0*n)*(-n - n + 4*n) in the form b*n + v + y*n**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 5, b: 4, h: 1, e: 2}. Give prob of sequence zeb.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 68. Let i(p) = w*p + 14*p - 7*p. Let m(a) be the third derivative of a**4\/24 - 3*a**2. Calculate i(m(l)).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(175)*-2 + 1 + 4 - ((sqrt(28) - sqrt(112))*1 - sqrt(28))\/(sqrt(4) + sqrt(252)\/sqrt(7) + sqrt(4)).\nAnswer: -98*sqrt(7)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 2*x - 1. Let y be p(-3). Let g = -101 + 145. Let d = -46 + g. Put -5, d, y in ascending order.\nAnswer: -5, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfppshjshsp. Give prob of sequence fhj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-416)\/(-1064) - 10\/95. What is the closest to -4 in 0.4, 0.5, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h*h**1*h*h*h*h)*h)*h*h)\/h**3)**(-2\/9)*(h**2*h*h)**(-1\/21)\/(((h\/h**(-2\/5))\/h)\/h)**(2\/11) assuming h is positive.\nAnswer: h**(-288\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 86\/39 - (-1 - 14\/(-26)). Let u(i) be the first derivative of 18 + m*i**3 - 1\/2*i**4 - 12*i - i**2. Suppose u(p) = 0. Calculate p.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:50 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -16*u**2 + 12*u - 937. Let k(a) = 61*a**2 - 46*a + 3748. Calculate -6*k(b) - 23*m(b).\nAnswer: 2*b**2 - 937","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -93*m**6\/40 + 5381*m**3\/6 + 5914*m**2. What is the first derivative of r(h) wrt h?\nAnswer: -837*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 40 = -48. Let o(q) = -q - 13. Let p be o(4). Let d = p - r. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3011348 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 17488*c. Let l(a) = -a + 184. Give l(g(i)).\nAnswer: -17488*i + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/3)\/((-1)\/(-33)). What is the fourth biggest value in m, -5, 1, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/4 + 5*x**3\/2 - 5*x**2 - 14*x. Let u(q) = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113\/68 - 3\/34. Is -3 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322 (base 14) to base 16\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 9*u + 23. Let l be k(6). Let n(r) = 48*r - 25. Let f be n(l). Calculate the highest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111122012221 (base 3) to base 9\nAnswer: -448187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31556 - -31566. Solve 33 - 3 = -i*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 3*i**2 + 11*i - 11. Calculate f(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(242) + 1))**2 + (sqrt(2) + sqrt(2) + (sqrt(6)\/sqrt(3)*-4)**2 - (2 + sqrt(18))).\nAnswer: 3167*sqrt(2) + 9318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1525*h - 693. Give l(2).\nAnswer: 2357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1338075)\/(-12825) - (94 - -1).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15119 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(0*y**3 + 4*y**3 - 3*y**3) + (y - 2*y + 0*y)*(4*y - 4*y + 3*y**2) to the form v*y**2 + f + q*y**3 + d*y and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 88 = 106. Let w = 2 + 3. Which is smaller: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10584 + b?\nAnswer: -10576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 1, j: 1, f: 1}. Give prob of sequence nn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**3 + 67 - 9*u**3 + 9*u**3 + u**3 - 56.\nAnswer: 18*u**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 1798 - 1156 - 642.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5042 by -21.\nAnswer: 5042\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 7*i**4\/12 + 129*i + 6. Let b(t) = -579*t**2. Give n(b(o)).\nAnswer: 2346687*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1736*n**2. Let w(t) = 890*t. Give w(y(k)).\nAnswer: -1545040*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1711, -3474, -5103, -6532, -7695, -8526, -8959, -8928?\nAnswer: -8367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*l + 12 = -g, 4*g - 5*l - 132 = 0. Let b = 31 - g. Suppose 701 + 79 = b*r. What is r rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -57. Suppose 9*o - 4*o = -3*x + 629, 2*x = -a. List the prime factors of o.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -7. Let m be (4 - (w - -1)) + 2. Find the second derivative of 11*g - 12*g - g**5 + m*g wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5324*r*y**3 + 10*r*y**2 - 37*r*y + 13*r - 12*y**3 wrt y?\nAnswer: -31944*r - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -6 - (-1 + -1)\/(-2). Let f = -5 - -13. Suppose h - 6 = 3*g, 2*g + f = 2*h - 2*g. Put -2, h, k in increasing order.\nAnswer: k, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-52 - -7 - -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112221022 (base 3) to base 13.\nAnswer: 19b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*q + 5*j - 445, -4*j = 4*q - 448. Suppose -t = -4*d - 4*t - q, -3*t = -9. Let u = d + 38. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1942 (base 10) to base 8.\nAnswer: -3626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(-14))\/(1\/16). Factor c**4 + b*c**4 - 3*c + 3*c**5 - 3*c**2 - 3*c**2 - 3*c**4.\nAnswer: 3*c*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77375222*f**3*p**2 + f**3 + 45382904*p wrt p?\nAnswer: -154750444*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11162.7 - 11164. Does i = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 208570514 or 208570515?\nAnswer: 208570515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q**2 - q - 5. Let f be w(3). Sort -4, -1, f in decreasing order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*o + 188283 = -8026 - 208313. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 712, 713, 716, 721, 728, 737, 748?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3656 + 3652. Let o(r) = r**3 + 2*r**2 - 8*r - 2. What is o(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/3)\/((-264)\/880)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 15 = 5*c, 1 = -15351*i + 15352*i + 2*c + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -0.3 (c) -1457 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/1110 + 80\/1480?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:46 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43519271 divided by -182089\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/12 - a**3\/3 + a**2 - 6*a. Suppose 2*k - 6 = -3*p + p, 4*p = 4*k - 12. Let c be x(p). Solve c*v = 3*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535531.2 kilometers in micrometers?\nAnswer: 535531200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**3 + 30*n**3 + 20*n**3)*(-8 + 910 + 11 + 1283) as f + j*n**2 + k*n + o*n**3 and give o.\nAnswer: 114192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -79*q + 32. Is f(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*b - 33, 36*b + 24 = 3*u + 40*b. Solve -u*i - 77 + 149 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -0.03, -10, -2\/5 in increasing order.\nAnswer: -10, -2\/5, -2\/13, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 114, -1, 3, -13, 30 in ascending order.\nAnswer: -13, -5, -1, 1, 3, 30, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/11 (b) -5 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 26*z**2 - z + 8. Let t be x(13). Let h(f) = 5*f**2 + 20*f - 157. Let u(c) = -4*c**2 - 21*c + 159. Let r(a) = t*h(a) - 6*u(a). Factor r(d).\nAnswer: -(d - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 3*h + 1. Let p(t) = -t**2 - 25*t - 127. Let a be p(-18). What is u(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*(u**(7\/10)\/u)\/u)\/u)\/u)\/u)\/u*u\/(u**(7\/10)*u)*(u*u**(-19))\/u*u**(8\/13) assuming u is positive.\nAnswer: u**(-304\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5628020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 2. Let l(a) = -4*a. Let u be l(1). What is n(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (925\/200)\/((-6)\/8). Is y < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:55 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/444156 and -85\/148052.\nAnswer: 444156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*k + 300, -2*k + 200 = 4*r - 2*r. Suppose 10 = -5*n + 95. Calculate the remainder when r is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-9)*((-312)\/(-16))\/(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 2:38 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 13\/4, 6, 192, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**7\/210 - w**6\/10 - w**5\/2 + 25*w**4\/6 + 125*w**3\/2 + 18*w**2. Solve t(f) = 0 for f.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 499 - 484. Let m be (0 - -3)*4\/(-6). Let l be (-1 - m)*-2 - -4. Solve 0 = l*y + 3*y + r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:08 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5330, 5338, 5350, 5366?\n\"Answer: 2*a**2 + 2*a + 5326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 42*g - 374. Let c be j(-28). Solve -2*s = 5*o + 6, -4*s = -197*o + 192*o - c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16002210 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 266960 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/35)\/(21\/(-1176)*-8)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 293*p**4*z + 10*p**2*z - p*z - 2*p wrt p.\nAnswer: 7032*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2847098739?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 + 12*k**2 + 5*k**2.\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:30 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20511434141 - 0?\nAnswer: -20511434141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*l + 2*l - 577, -2 = -2*l. Suppose -4*k - 5320 = -14*k. Suppose 13*y - f = k. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -232, -491, -844?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/36*-2)\/(((-128248)\/246)\/(-391))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 6:27 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4730*j - 37777. What is a(8)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*a**2 + 83*a**2 - 5 + 3 - 2 - 1 as r*a**2 + w*a + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 4*t - 2022 = -10*d, -2022 = -2*d + 3*t. Let l = d - 37410\/37. Which is smaller: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 3*z**2 - 2*z + 32. Let m be k(13). What is m rounded to the nearest 10?\nAnswer: -1680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(12\/(-28))\/(20\/140)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 3}. Give prob of sequence qq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26313, 26402, 26491, 26580?\n\"Answer: 89*f + 26224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**6 - 14*w**6 - 23*w**2 - 65*w**6 wrt w?\nAnswer: -9600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1540 and 121\/16285640?\nAnswer: 179142040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.4461 and -2743.012.\nAnswer: -2755.4581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 - (6 + -3 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-6)\/(5\/5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 282\/697 (b) 0.2 (c) -1 (d) -4 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giytiyiwiiiwityilwi. Give prob of picking 2 y and 1 t.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, r: 7, f: 3, w: 4, u: 2}. What is prob of picking 2 f?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000097548 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106299 rounded to 4 dps?\nAnswer: 0.1063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/((-2)\/4). Let v = 309\/7 - 44. Let k be 28\/945*-36 + (-2)\/20. Sort k, v, h.\nAnswer: k, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3071, -3067, -3053, -3023, -2971, -2891, -2777, -2623?\nAnswer: -2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 27. What is the tens digit of (-344)\/b + 4\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -246, -321, -436, -597, -810?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1061*t**3 + 1035*t. Let h(k) = 531*k**3 + 517*k. Let s(c) = -5*h(c) + 2*l(c). What is the second derivative of s(m) wrt m?\nAnswer: -3198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a**2. Let d be h(1). Let i be (-2)\/3 + d\/6. Which is bigger: i or 2\/65?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - 3 = 29*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 3, 1, 2.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2929872014.\nAnswer: 2, 233, 401, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -409?\nAnswer: -6\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.141 and 294.\nAnswer: -41.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87936 and 687.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 95, 81, 35, -61, -225, -475, -829, -1305?\n\"Answer: -3*t**3 + 2*t**2 + t + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + (sqrt(180) - (-5*sqrt(180)*-5 - sqrt(180))**2) - 6*(sqrt(180) - (1 + sqrt(180)*-1)**2)) + 4).\nAnswer: -512925 - 510*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - 10) + -8 + 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f + 69. Suppose 0*j = 2*j - 4, 0 = -3*c - 4*j + 74. What are the prime factors of u(c)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0 + o**2 - 1\/8*o**4 + 0*o + 0*o**3. Let g(n) = -22*n + 22*n + n**2 + 0*n**2. Calculate s(g(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*y + 42*y + 29*y + 34*y.\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 533*o + 11066. Calculate t(22).\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -115 + 109 + (12 - 0) + -14 + 109?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44858?\nAnswer: 2, 11, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3 + 1943*l - 970*l - 4*l**2 - 975*l.\nAnswer: 2*l*(l - 1)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21011 (base 3) to base 6.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/4, -2\/3, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -37. Let c(u) = 9*u**2 - 9*u + 44. Let j(r) = -5*r**2 + 4*r - 22. Let m(l) = -6*c(l) - 11*j(l). Let k be m(d). Solve 4*a + 10 - k = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4966 = -4*o, -2*o + 9*a - 8*a + 2484 = 0. List the prime factors of o.\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllllllllllllllmll?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + x)*(2 + 0 - 3) - 7*x + 3*x + 3*x + (2 + 2 - 5)*(-x + 0*x + 3*x) to the form l + f*x and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -4, -3\/7, -70, 345?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 50*l**2 + 52*l + 11. Determine x(51).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5575 + 5577.977. Let m = -41 + 38. Let j = x + m. Round j to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 3*l**5\/5 + 5*l**4\/3 + 2*l**3\/3 - 2*l**2 + 11*l + 40. Let z(h) be the first derivative of o(h). Solve z(u) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11286569743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15 = f, d + d = 8. Let p be 3\/((-18)\/8 - -3). Suppose -p*z + z + 18 = 0. Solve 3*v + 5*x + f = 0, -2*v + z*x - 2*x + 6 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*y + 25, 3*y - 4*y = -3*n + 35. Let i be 34\/n - 9\/(-15). Let k = -6 + 10. Calculate the greatest common divisor of i and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1647131869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {c: 5, p: 6, w: 3, o: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.9 (b) -7\/5 (c) -125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 5*n. Suppose -175 = -31*h + 11. Give b(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t - 172*t - 12573 = 33*t - 67*t for t.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1. Let j(s) = -s**2 + s + 1. Let p = 16 - 18. Let v(d) = p*j(d) - 3*i(d). What are the prime factors of v(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 + 3 = 2*c, -2 = 2*c + 5*b. Sort 5, 1, c.\nAnswer: 1, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 3*j**2 + 3*j + 3. Let m = -21 - -18. Let k(d) be the first derivative of d**3\/3 + d**2\/2 + d - 3. Let q = -5 - -6. Calculate m*k(g) + q*s(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1486260735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 - 4*i - 4. Let r be b(-1). Let h(f) = 24*f + 548 - 556 - r*f. What is the remainder when 41 is divided by h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + -48. Find the second derivative of -2*g - g - 10*g - a*g**4 + 2*g**4 wrt g.\nAnswer: -228*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5184879 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2)\/(f\/(f\/f**(6\/5))))\/((f*f**2\/f)\/f*f*f*f**(1\/5)*f*f*f) assuming f is positive.\nAnswer: f**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516\/828 + 11\/(165\/(-10)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.3 - 25. Let s = -5 - i. Sort s, -2, 1\/7 in decreasing order.\nAnswer: 1\/7, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-84) + (-12)\/15 + 18\/(-42)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11068 = -834*r + 3944 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95077430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349 - -349 - (0 + 1 + -1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*s + 291*s - 2*a = -11, -11 = -5*s + 4*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -421423241 - -10?\nAnswer: -421423231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18aab + -67d?\nAnswer: -1934a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 + 2*v**2 - 2*v + 1. What is the units digit of f(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13*j**2 - 944. Let n(f) = 4*f**2 - 316. Give 7*n(c) - 2*q(c).\nAnswer: 2*c**2 - 324","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - -3*(sqrt(7) + 1)) + (sqrt(112) + -1)**2.\nAnswer: -4*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16106, 0 in descending order.\nAnswer: 1, 0, -16106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 16 = -s, 0 = -4*s - 4*p + 39 + 37. What is the greatest common factor of s and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 17553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:41 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**17\/(a**1*a) assuming a is positive.\nAnswer: a**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -17) + 42\/18\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.4 (c) -1 (d) -10.7 (e) 6\/7 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/4165*1*50\/2?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*d**3 - 6*d**2 + d**2 + 35*d**3 to f*d + v*d**2 + j*d**3 + x and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 4:18 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 > -122.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*a**2 - a + (0*a - 2*a + 7*a)*(-100*a - 54*a + 31*a) + (2*a**2 + 4 - 4)*(4 - 1 - 2).\nAnswer: -615*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x + 4. Let p(f) = -13*f + 3. Determine -3*k(w) + 4*p(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:54 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 425488 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.819 - -1.2082. Round d to 2 decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 774, 1501, 2706, 4383, 6526?\nAnswer: 9129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1578*b**3 - 2630*b**2 - 2630. Let w(q) = q**3 + 2*q**2 + 2. Give 2630*w(n) + 2*z(n).\nAnswer: -526*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -18\/5029 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1205 (base 7) in base 9?\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168228837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a - 24. Solve 4*v + v - l = 6, 3*l = a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -217. Let n = -172.342 + k. Round n to 2 decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7548 = -11*d + 12*d, -3*d = -2*i + 3774. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 = -55*t + 10 + 107. Let s(c) = c**3 + 2*c**2 - 2*c - 3. Let y be s(-2). What is the smallest common multiple of (y - 3)\/((-1)\/8) and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c + 18. Let d be r(-6). Let h(w) = -2*w**2 + 10*w + 6. Let m be h(d). Let b = 35 + m. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -47. Calculate the remainder when 175 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2470 - -2467. Which is the third biggest value? (a) l (b) 17\/2 (c) 2 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91075.796 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 98482137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -119?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 52\/6 + 6\/(-9). Let z(s) = s**3 - 8*s**2 + 2*s - 11. What is the units digit of z(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 9*y - 12. Let i be o(-10). Is 21 a factor of (-195)\/(-5) - 2\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*i**5 + 2 + i**5 + i**5 + 0*i**5 + (6 - 2 + 4)*(-3*i + 3*i - 4*i**5).\nAnswer: -28*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1502 - 1367 = -55*x - 1054 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j. Let l(p) = -8*p + 3*p + 0*p + 4*p. What is l(c(z))?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*f - 867 = 412*f - 887*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10993490*n**3 + 9220081.\nAnswer: -32980470*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjoo when four letters picked without replacement from {j: 2, o: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-24) - 27\/4. What is the remainder when 141 is divided by 51 + (2\/s)\/((-11)\/(-99))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-3) + -1)*1*-9. Solve -15*x = i - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 - -24\nAnswer: 27.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00616 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = 76. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*k - r, k + 5 = 5*r + 4. Solve 8 = -j - 5*c, k = -5*c + c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -5 + sqrt(2057)*2)*4)**2 - ((2 + 2*sqrt(2057))**2 + 1*(1*sqrt(2057))**2 + 2).\nAnswer: -3608*sqrt(17) + 121757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - k + 91 = n, -3*k + 31 = -n. Let s = n + 25. Let r = 2 + 1. Solve -3*d - s = 0, -4*d - 2 = -r*a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 261.2164 weeks?\nAnswer: 1828.5148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -467 + 444.9. Let v = q + 21.7. Which is the second smallest value? (a) 3 (b) -2 (c) -4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/9 + 2 - 5)*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 7:40 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51, 205, 453, 789, 1207, 1701, 2265?\n\"Answer: -t**3 + 53*t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89301*a + 164311 wrt a.\nAnswer: -89301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11353, 22411, 33469, 44527, 55585?\n\"Answer: 11058*v + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2265*u**4 + 297*u**2 + 6*u + 67905678 with respect to u.\nAnswer: 9060*u**3 + 594*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1035)\/(-46)*(-4)\/(-3). Let q be (g\/4)\/(9\/18). Solve 2*c - 3*c - q = -4*l, -4*c + 2*l = 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9833, 19680, 29527, 39374, 49221?\n\"Answer: 9847*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 2048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -533.1 - -585. What is x rounded to 0 dps?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*((-2 + 2 + 2*q)*(q + 3*q - 2*q) + 31*q**2 + 27*q**2 - 56*q**2 + (-q + 0*q + 2*q)*(q - 3*q + q) + 0*q**2 - q**2 + 3*q**2).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/1)\/(100\/60). Let r be (8\/3*c\/(-2))\/15. What is l in 0 + 0*l + r*l**4 + 2\/15*l**3 + 2\/15*l**5 + 0*l**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 3\/2, 0.028, -1.2?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-7 - (-3 - 0 - 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5359 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*r + 10, -5*r + 6 = -5*j - 4*r. Let w = j - -5. Let k = -5 - -7. What is the greatest common factor of k and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, v: 4, n: 3, x: 2, s: 2}. Give prob of sequence hhn.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -7. Let y = t - -17.2. Let q be (12\/(-9))\/(10\/6). Which is the nearest to y? (a) q (b) -6\/7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 12\/598441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2632\/(-564)*(-114)\/28?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*j + 30*j**5 + 9*j**5 - 16*j**5 wrt j.\nAnswer: 460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 41 (b) -2\/7 (c) -5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -7, -198, -2 in descending order.\nAnswer: 9, 2, -2, -7, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/10)\/(54\/(-132)). Let s = -1 - w. Let m = 1.2 - -0.4. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5254 + 5260. Let q = 4 + -2. Let x be q\/8 + (-34)\/72. Is x > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4 and 71\/2668.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1409 + 9281 = 69*k + 193*k + 230*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 24. Let h = -4.87 + -0.13. Let k = h - n. Which is the third smallest value? (a) -0.5 (b) k (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3238859.\nAnswer: 13, 249143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (2 - -11) - (4 - -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p - g - 17 = 0, -8 = 4*g. Does 16 divide 51 - (-4)\/p*(-81)\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 4*w - 10, -3 = u - 6*w - 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 150*x + 151*x - 317, x = 4*p - 1293. Does 44 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632346365 a multiple of 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4264\/78 - (-3)\/(-2 + 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f + 0*f)*(2 - 5 + 5) + 0*f - 4*f + 3*f + 4*f - f - 4*f + (-2*f - 3*f + 4*f)*(-2 - 4 + 5) + 0 + 0 + 2*f + 0*f - 2*f + 0*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**4 + 130170*j**3 - 11672935*j**2 - 48384150*j - 36581040 = 0. What is j?\nAnswer: -3, -1, 94, 25944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27)\/5 - -1)*(-5)\/1. Suppose 3*p + 22 = -5*m - 26, 3*m + j = 5*p. Let n(k) = -k**2 + k + 75. Let f be n(m). Do 0 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -442*x**2 + 447*x**2 - 1 - x**3 + 8*x - 7. Let m = 0 + 6. What is n(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuo when three letters picked without replacement from onnssonwrrou.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.616 + 12.916. Which is the second biggest value? (a) -5 (b) -3\/4 (c) 5 (d) -0.06 (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -940*w**2 - 10*w + 294. Let k(y) = -6*y**2 - y + 1. Let g(b) = -8*k(b) + r(b). Find the second derivative of g(z) wrt z.\nAnswer: -1784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 349 = -54*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 15*v + 15)*((-4 + 1 + 1)*(v**2 - v**2 + 5*v**2) + v**2 - v**2 - v**2 + (v - 4 + 4)*(2*v - 4*v + v)) to l*v**2 + x*v**3 + c*v + t and give x.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14292 + 14295. Let h(z) = -14*z + 16. Give h(i).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-4 - 1\/(-1)). Let f = 5.3 + -5. Which is the nearest to 0.2? (a) g (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119? (a) -2 (b) -0.1 (c) -104\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-104))\/(10623\/(-2658) - 4 - -8). Which is the second biggest value? (a) -1\/2 (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6275 and -29\/20.\nAnswer: 25100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 1. Let a be i(8). Let z(b) = 22*b - 11. Let w be z(a). Calculate the highest common divisor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1919.9 to the nearest 10.\nAnswer: -1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7*d = -80. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/198 and -89\/206?\nAnswer: 20394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 + -167. What are the prime factors of (-1)\/(-5) - ((-40266)\/g)\/(-3)?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-88)\/12 + 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1786 + -1604. What is the highest common factor of 286 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1162 + -5?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = 3*b - 547. Calculate the highest common divisor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.16719 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d*d\/d**(2\/9)*d)**(-45)*d\/d**(1\/3)*d**(-2\/21))**(-44))**(10\/7) assuming d is positive.\nAnswer: d**(660440\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761858 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8921 - 5019.6. 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 l = -1107 - -1948. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 2*d = 6, 5*v + 6 = 4*d. Suppose -v*h + 5*h - 182 = -5*c, 0 = h - 5*c - 54. What are the prime factors of h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u - 1. Let d(g) = -4*g - 2. Determine -2*d(i) + 3*r(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)*l\/(l*l**11))**(-1\/9)\/((l**4\/l**(-2\/5))\/(l**(-5)*(l**(3\/7)*l)\/l)) assuming l is positive.\nAnswer: l**(-697\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42404 + -100?\nAnswer: -43004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + w - 5. Let o(k) = -28*k - 3. Let q be o(w). Suppose 28*m - q = 23*m. Solve -a + 6 = -r, -m*a + r = -9 - 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326473633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1608125\/3 not equal to -536041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 359492789 divided by 6.\nAnswer: 359492789\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-nine quarters of a litre?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0 - 1\/120*h**6 + 0*h - 1\/12*h**4 - 1\/20*h**5 + 5*h**2 + 0*h**3. Determine q so that f(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12))\/(-3)*((-28620)\/(-150))\/(9\/10).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a751424 + -4?\nAnswer: a751420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 + (-530)\/170 - 13 - (-219)\/(-17). What is the closest to a in -5, 25, 4, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399155893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1298148.8\nAnswer: -259629.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-3)\/(-27) + (-174)\/(-54). Let z = -3374 - -4782. Suppose x + w*x - z = 0. Is 37 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/12)\/7*0. Suppose -5*h - 109 = 2*c + 345, 4*h - 4*c + 352 = o. What is h rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(405)).\nAnswer: -9*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = -0. Let p be 1*(-2)\/2*0. Solve 4*k + k - h = p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/(-16)*(-5)\/13?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7447 is divided by 186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(2*(sqrt(432) + sqrt(12))).\nAnswer: sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 464225 a multiple of 599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s + 7*s - 24 - 2*s. List the prime factors of d(-17).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -4030b?\nAnswer: 4030b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.67 - 3.5. Let u = p + 0.03. Which is the second smallest value? (a) 1 (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 + -3 + 8 + 16 + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + -4 + 1 - (-820 - -833).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 + 5 = -15*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 19*a**4\/6 - a**2\/2 + 4*a. Is d(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Suppose -15 = -3*i - d. Solve 2 = 2*l - 3*n, -5*n = 4*l - i + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/26 - (223\/(-182) + 1). What is the closest to 1 in -2\/7, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2*a - 4. Let t(q) = 20*q**2 + 4*q - 19. Let g(n) = t(n) - 4*w(n). Calculate g(-2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-31554\nAnswer: -31553.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30.1088 and 73.\nAnswer: 42.8912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 + -0.74. Let y = f + 0.04. Which is the second smallest value? (a) -0.2 (b) y (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0213 from -941.6.\nAnswer: -941.5787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/18)\/((-85)\/119))\/(4\/60).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1088)*-2 + sqrt(1088) + -5 + sqrt(1088)*-1 + sqrt(1088))**2.\nAnswer: -560*sqrt(17) + 53337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**2 - 17. Let d(u) = 39*u**2. Give n(d(f)).\nAnswer: -78*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40449018, -40449020, -40449022, -40449024, -40449026, -40449028?\n\"Answer: -2*u - 40449016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199014501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**2 - 4*t - 477*t**2 + 8*t - 2*t + 7*t.\nAnswer: -491*t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7194468073 - 11529?\nAnswer: -11529.7194468073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 3 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:35 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5 + 49988187*g**4 - 208234778325066*g**3 - 1041174991365702*g**2 - 624705534692019*g + 1874115254394603 = 0?\nAnswer: -3, 1, 8331367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/8 of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/8*3\/(-2). Let o be 2\/6 + (-6 - t). Which is smaller: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 times -6.29?\nAnswer: -34.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*w + 60. Suppose 15*u = 14*u + w. Solve j + u = -2*j, -3*v = 4*j + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417994351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahggsxx. What is prob of sequence sggx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.0756 or -2\/11?\nAnswer: 2.0756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 14, 26?\n\"Answer: 12*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77532791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 18 + -83 + 59?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14331437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-25)*(-600)\/(-36000).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67705 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1) + 0 + 1. Suppose -h = -c + 2. Sort 5, 0, h in ascending order.\nAnswer: h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*g**3 - 48*g - g**2 + 118*g - 2*g**3 wrt g.\nAnswer: -12*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158.5 - 163.5. Which is the closest to -0.2? (a) 2 (b) 27 (c) 0.5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1821*a + 3005*a + 6988*a to x + j*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1302 < 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -298 - -297. Sort 5, b, -14, -2 in descending order.\nAnswer: 5, b, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 3*x**5\/20 + x**4\/12 + x**3\/6 - x**2\/2 + 172*x + 14. Let h(g) be the first derivative of a(g). Determine h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215.5 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 4*u + 4*u)*(857*u - 1973*u - 2369*u).\nAnswer: -10455*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-22))\/w**(-11\/3))\/(w**(-4\/7)\/(w*w**(15\/2))) assuming w is positive.\nAnswer: w**(1501\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 5?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.67 and 0.17?\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**3 - 5*y**3 + 214*y + 212*y - 422*y + y**3.\nAnswer: 10*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 17253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 18. Let z = 22 - x. Let b = -4 - -24. Calculate the least common multiple of z and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t - 2. Suppose -t*y + 12 = -0*y. Suppose -3*l - 5*r - 21 = 0, y*l + 7 + 14 = -4*r. Put -4, 0, l in increasing order.\nAnswer: l, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44.1 and 1588.897088?\nAnswer: 1632.997088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -89. Let r be (-4)\/d + -3 + (-948)\/(-308). Factor 2\/11*y**4 + 0*y + 0 - 2\/11*y**3 - r*y**2.\nAnswer: 2*y**2*(y - 2)*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 801686*n**2*u - 249*n*u**3 + 452384*u**3 - 3*u - 265 wrt n.\nAnswer: 1603372*n*u - 249*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12278*k**3*r**3 - 65*k**3*r + 514610*k**2*r**2 - 1804*k*r**5 wrt r.\nAnswer: 73668*k**3 - 108240*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 234 in increasing order.\nAnswer: -2, 2, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 15*j**2 + 20*j - 72. List the prime factors of w(-8).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Let j be (-16)\/(-6) - (-2)\/6. Let i(s) = j*s - s + 5*s - 2*s. Give i(m(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54896*c**2 + 54894*c**2 + 353 - c + c.\nAnswer: -2*c**2 + 353","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/7)*u))**(-7\/11) assuming u is positive.\nAnswer: u**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6268*u**2 + 6258*u**2 - 24966*u**2 + 0*u + 6235*u**2 + u + 6240*u**2.\nAnswer: 35*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344, 200, -34, -358, -772, -1276?\nAnswer: -1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 16 + 8 + 8 - 31. Let w(l) be the second derivative of 5*l**3\/6 - l**2\/2 + 10*l. What is r(z) + w(z)?\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 763963 to the power of 1\/2, to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 - 10 = 0. Suppose -2*l + 15 = 2*l - 3*t, -12 = -3*l + 3*t. Suppose 3*s + 8*c = 3*c - 6, -s = l*c + 6. Put h, -4, s in descending order.\nAnswer: s, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t - 7. Let v(u) = 4*u**2 - 38*u - 21. Let p be v(10). Let n be m(p). Solve -10 = 4*d - o, d - o + n + 1 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 494142874 divided by 2\nAnswer: 247071437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 2*f**6\/105 - f**5\/5 + 6*f**4\/7 - 40*f**3\/21 + 16*f**2\/7 - 6*f. Factor q(p).\nAnswer: 4*(p - 2)**3*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111 + -144010?\nAnswer: -144121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810115 is divided by 67446.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - x**2 - 6*x + 2. Let a be g(3). Let y(z) = z + 2. Let k(p) be the first derivative of -p**2\/2 - 5*p - 3. Give a*k(v) + 5*y(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + -4 + (sqrt(3) + 0 + sqrt(432) + -2 + sqrt(108))**2.\nAnswer: -76*sqrt(3) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 at least -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 < 481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**2 + 646*l + 512 wrt l?\nAnswer: 4*l + 646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/9 and -83\/76544.\nAnswer: 688896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1577335 divided by 315467\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -26309?\nAnswer: -4\/26309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15442 and 712.\nAnswer: -10994704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*v - 110*v = -9. Let w(c) = c**3 + 5*c**2 + 7*c + 14. Let o be w(v). What is the greatest common factor of o and 308?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -17*m**3 - 2*m**2 + 3. Let f = 4 - -2. Let h = f - 8. What is the hundreds digit of v(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -h + 12, -50692*h + 50691*h + 2*z = -9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271924.\nAnswer: 2, 157, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b**3 - 25*b**3 - 13*b**2 + 12*b**2.\nAnswer: -44*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 736921928, 1473843855, 2210765784, 2947687715, 3684609648, 4421531583?\n\"Answer: g**2 + 736921924*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8569040 to the nearest integer?\nAnswer: 2927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-36) + 5035\/318*(-1)\/15. Sort -106, p, 0, -2, 3 in increasing order.\nAnswer: -106, -2, p, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c + 3*s - 128571, -5*s = 3*c - 57292 + 2205. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7479*r + 52370. What is v(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 45410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3, k: 3, d: 5}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -578*f**2 - 407184*f - 71712288 = 0.\nAnswer: -5988\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4\/2 - 111*u**3 + 1680*u**2 + 14400*u = 0. What is u?\nAnswer: -6, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + x = 3*x + 54, 0 = -u + 4*x + 38 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137348 is divided by 1143?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1656543782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 0*c**3 + 8 + c**3 - 10. Let m(b) = -b**3 - 1. Let n(l) = 2*m(l) - v(l). What is the second derivative of n(q) wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2133641 hours in days?\nAnswer: 0.0505568375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -23 - 3\/2*u**2 - 4*u + u**3. What is x(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9492217 greater than 9492218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1254 is divided by 105?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 3746 and -630 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -2. Suppose 5*u = g + 239. Calculate the remainder when u is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -290 + -5?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**6\/120 + 7*t**5\/30 - 17*t**4\/24 - 2*t**3 - 14*t**2 - 3*t - 5. Calculate l(12).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 7*l. Suppose l = -6*x + 2*x + 32. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u. Let p be 25 - 2\/(-6)*-6. Let t = -23 + p. Let q(a) = t*a - a - a. Give q(w(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 9 + 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/316 or 1524?\nAnswer: 1524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -11 - 6 - -27?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1918248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*204904.\nAnswer: 102452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(105\/(-24)) - (3 + -5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5.4. Let z = -40\/69 - 2\/23. Let f = 23 - 22.9. Which is the nearest to 1? (a) f (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -17 in ascending order.\nAnswer: -17, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x + 26. Calculate s(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from qzqinizqngznnq?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(33)*1)\/sqrt(11))**2 + sqrt(15)\/(sqrt(180)*3).\nAnswer: sqrt(3)\/18 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23224*b - 1248 = -23302*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 3*v - 4. Let u(a) = a**2 - 16*a - 15. Let k be u(17). Let f be x(k). What is the greatest common factor of 20 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 74, -113 in descending order.\nAnswer: 74, -2\/7, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16722 divided by 2?\nAnswer: 8361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/30*(107\/(-18))\/(-107).\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/234 and 44\/1626771.\nAnswer: 126888138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 53*q - 1. Let j(l) be the third derivative of -l**4\/8 + 4*l**3\/3 + 18*l**2. Let k(v) = -2*v + 6. Let i(y) = -3*j(y) + 4*k(y). Give n(i(g)).\nAnswer: 53*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -629 - -656. Suppose 0 = 4*o + 3*u + 2*u - 736, 394 = 2*o - 4*u. What is the greatest common factor of o and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2327022 to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11280 and 12?\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 4*o - 191. What is the greatest common factor of o and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -56*h - 2. Let m(s) = -17*s + 26. Let f(k) = -53*k + 91. Let n(i) = -4*f(i) + 14*m(i). Give n(w(o)).\nAnswer: 1456*o + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + -32?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101110001011011 (base 2) to base 5.\nAnswer: -14422330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*a = a - 719316, -4*j + 2877264 = -4*a. Let i = -38841071\/54 + j. Let z = i + -11\/27. Calculate the common denominator of -21\/26 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*q - 25*q + 52*q to the form s + h*q and give h.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - 6*c + 8. Let n(m) = 0 + m + 8 - 9. What is l(t) + 6*n(t)?\nAnswer: -3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/12)\/(95\/(-76)). Let 1\/3*r**3 - k*r + 2\/9 - 1\/9*r**4 - 1\/9*r**2 = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/4 - 103*y**2\/2 + 10609*y\/4 = 0.\nAnswer: 0, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*s**2 - 36*s + 28327 + 16*s - 48*s**2 + 20*s.\nAnswer: -s**2 + 28327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2678 + -2692. Which is bigger: t or -7.4?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 11:58 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200201002 + -3?\nAnswer: 200200333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*q - 25 = 0, 3*p - 2*q = 1 + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 113271678 divided by 113271678\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183 and 1040982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/54112 and 29\/912?\nAnswer: 162336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -62. Let y(t) = -11*t**2 - 21*t - 25. Let s(u) = 4*u**2 + u + 1. Let a(p) = -3*s(p) - y(p). Is 3 a factor of a(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.207 and -0.3.\nAnswer: -0.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065714907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3144761 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48766*h**3*o + 387*h**2*o + h*w**2 - 129*o*w**2 + 5*o + w**2 + 5*w + 6 wrt h?\nAnswer: 146298*h**2*o + 774*h*o + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b**2 + 4*b - 7. Let j(c) = -4*c**2 + 2*c - 3. Let f(y) = -5*j(y) + 2*v(y). Let o be f(1). What is the tens digit of o + (-2 + 32)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 - 64. Suppose 4*o - 25 = p. Let n(h) = h + 26. Is 30 a factor of n(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.055+1774282257\nAnswer: 1774282257.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 26*k**2 - 6*k - 102. Is b(-49) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2313 is divided by 1125?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.9. Suppose 3 = -2*g + 13. Let q = -3058 - -3057. What is the third biggest value in j, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/12*(-12 - -4)\/(2 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 + 13*t**2 + 2*t**3 - 7*t**3 - 13*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69685 is divided by 850.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 1302?\nAnswer: 12b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + r. Let z(u) = 3*u**3 + 2*u**2 - 2*u + 1. What is -2*n(s) - z(s)?\nAnswer: -3*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atqq when four letters picked without replacement from qqqlqlqwlattal.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -3027403?\nAnswer: -3027407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178.6631 millilitres to litres.\nAnswer: 0.1786631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364 - 121 + 50717*y**3 - 118 - 125.\nAnswer: 50717*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 1 - 1 + (-21 + 15 + 76)*(u - 3*u - 9*u))*(-1 + 0 - 1) to z*u + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005276092 to five dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 5:01 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*p + 15 = -8, 2*v + 5*p - 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**3 - s**2 - 4*s. Let n(c) = -c**3 + 3981*c + 2*c**3 - 3*c**2 - 3980*c - 2*c**3 + 2*c**2. Give -b(h) + n(h).\nAnswer: 3*h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {x: 7, t: 3, l: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1221 + 10?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t**3 + 41*t**2 - 3. Let q(d) = 18*d**3 - 75*d**2 - d + 6. Give -6*q(u) - 11*r(u).\nAnswer: -9*u**3 - u**2 + 6*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5 + -2*sqrt(468)*2 - (4 + -1*sqrt(468) - 2*sqrt(468)*-4))**2 + 4)*2.\nAnswer: 2376*sqrt(13) + 113430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**3 + 18*j**2 - 2*j - 12. Let u(p) = p**3 + 3*p**2 + p. Let g(b) = -2*u(b) + w(b). Find y, given that g(y) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 50 = 2*s + 5, -5*s = -3*q + 45. Let w = -9 + q. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119 (base 13) to base 2.\nAnswer: 10111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -0.02 (b) -0.4 (c) -6\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56048718 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 563*n**3\/2 + 9519761*n**2\/2 - 50727*n = 0.\nAnswer: -16909, 0, 6\/563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2062)\/4)\/(9\/6 - 2). Suppose -14 + m = -9*q. Do q and -113 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 14*h**2 + 12*h + 42. What is s(8)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.108 + 41.308. What is q rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2301762 meters in nanometers?\nAnswer: 230176200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -18.77. Let j = -11 + 11.03. Let o = j - f. What is o rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(51\/272*-14)*14\/4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.08783 and 66\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72273053227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 163826815*v\/2 + 81913407.\nAnswer: (v - 163826814)*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - 21221?\nAnswer: -22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 2\/31 (c) -2\/7 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(605) + 0 - sqrt(605)))**2 + sqrt(605)*-1*2 + 4.\nAnswer: -22*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 + 3. Let h(d) = 17*d**2 + 13. Let v(r) = -6*h(r) + 26*x(r). Let n be 2 + (1 - 2\/2). Let l(t) = -n + 2 - t**2. Determine l(v(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 13. Let l be i\/28 - 2\/(-7). What is the closest to 0.1 in -4\/7, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26083 + -26082.74947. What is u rounded to 3 decimal places?\nAnswer: 0.251","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 117072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 7*t + 27. Give k(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(4\/(-4)*2). Let h = -1.94 + -0.06. Let m = h + 1. What is the closest to g in -5, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11668*j + 150868 = -47488 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -2.9, -5, -4, -0.564, 1\/2, -2\/5?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 8 = -4*u, 25*u - 20*u - t - 14 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:38 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/4))**(2\/7))**(-1\/2)\/((y**(2\/5)*y)**35)**(-15) assuming y is positive.\nAnswer: y**(20577\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*k - 625, 4*m - 15 = -m. Suppose -5*g + 4*h + h = -25, 2*g - 10 = 5*h. Suppose k = g*s - 2340. What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 429753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60541635 and 4505424?\nAnswer: 968666160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*5958.\nAnswer: -393228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 6*t + 3*t - 6*t**2 + 2*t**2 + 3. Let x(v) = 2*v**2 + 5*v - 5. Let h(w) = -w**2 - 7*w - 5. Let f be h(-5). Determine f*k(p) + 3*x(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*u + 93*u + 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1029061*c**3 - c**2 - 7973*c - 436?\nAnswer: -6174366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 1\/98*y**7 - 3\/140*y**5 + 7*y + 1\/70*y**6 + 0 + 0*y**3 + 0*y**2 - 1\/28*y**4. Factor s(n).\nAnswer: 3*n**2*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/18539432 and -69\/134?\nAnswer: 1242141944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42525 and 63?\nAnswer: 42525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5917 + -4160. What are the prime factors of g?\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n + 5. Let m(h) = -2*h - 6. Let x(i) = -5*m(i) - 4*u(i). Let r be x(7). Which is the biggest value? (a) 0.4 (b) r (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(1\/12)))\/(v**(-1\/4)*v)*(((v\/(v*v*v**(-2\/5)))\/v)\/v*v)\/(v**4\/v) assuming v is positive.\nAnswer: v**(-79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45696242 or -45696243?\nAnswer: -45696243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139787.2242892 + -728082.2532835. Let n = a - -588295. Let p = n - -0.029. What is p rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 + 1. Let u be b(-1). Let v(f) = 2*f + 0*f - 2*f + u*f. Let n(x) = -3*x + 9*x - 8*x. Give v(n(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*l - 5*p, -p + 4*p = -3*l - 3. Suppose -4*k - 60 = -4*u, l*u - 4*k - 45 = k. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 + 125. Suppose 0 = -8*c + 13 + w. Sort -5, c, -3.\nAnswer: -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(5))\/sqrt(2)*6 + sqrt(21)\/(sqrt(7)*-2)*-3)**2.\nAnswer: 675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -203443 (base 7) in base 13?\nAnswer: -12b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 215 + -203. Suppose 13*p - g = 40. Solve -p*q + f = -3*q - 2, -6 = q - 5*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -976, 815, 3792, 7949, 13280?\n\"Answer: -f**3 + 599*f**2 + f - 1575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/1114, -4.5, 4, -5 in decreasing order.\nAnswer: 4, -3\/1114, -4.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-369 + 996 - 504)*(-66 + 7*j + 66).\nAnswer: -2583*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*q + 33, 0 = 2*g - 15*q + 11*q - 34. Let n(m) = m + 55. Give n(g).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071139161 a multiple of 885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -114\/11, 0.55, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 2:51 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 7*j**2 + j - 8. Let b be n(7). Suppose -a + 5*c - 17 = 0, 5*c - 2*c = -2*a + 5. Put 0, a, b in decreasing order.\nAnswer: 0, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153.849993339 + 153.85. Round u to 7 decimal places.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8489917588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -15801?\nAnswer: -15806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4603 (base 10) in base 5?\nAnswer: 121403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 6:20 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - 1.62. Let a = -1.18 + x. Do a and -1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 24. Suppose 4*q + 3*n = -20, -t*q + 2 = -4*n - 4. Which is the closest to 0.3? (a) 4 (b) q (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 0.023913996216.\nAnswer: 0.423913996216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*l - l = -167 + 163, 34 = -6*c - l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*(-90)\/1995*70\/10?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21455 + -21456. What is the biggest value in i, 18\/13, -0.5?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 10:46 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 d, and 2 v when four letters picked without replacement from ttdvvxt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 99716686?\nAnswer: 99716689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207255 and 3260475?\nAnswer: 5055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-8)*(5*(-12)\/(-15))\/6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-68)\/(-85))\/(36\/(-210)))\/((-5)\/15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/3 - 5330396*c\/3 - 21321568\/3 = 0. What is c?\nAnswer: -5330392, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5923 + 1.01\nAnswer: 5924.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*z - 150 + 1485 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*x - 2 + 1 = 0, -5*r = 2*x - 90. Suppose 0 = -3*q - a - 0*a + r, 0 = 2*a - 8. Suppose 5*l + s - 163 = -2*s, s = -q*l + 129. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06780296 times 0.7\nAnswer: 0.047462072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -699353130 and -4.\nAnswer: -699353134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6732885, 13465775, 20198665, 26931555, 33664445, 40397335?\nAnswer: 47130225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 55\/47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2399657701\/1604 + 1496046. Calculate the common denominator of z and 3\/802.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (-66 - (-4180)\/(-44)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((5332\/1548)\/(25\/15)).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10064960 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**3 - v**2 + 3*v + 4. Let s be w(-3). Let z = 998049\/44 - 89919\/4. Let b = z + s. What is the second biggest value in -0.4, b, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16900237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/7 + -6)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*d**2*j - 320*a - 369*d**2*j - 55*d**2 - 17*d*j wrt j.\nAnswer: -a*d**2 - 369*d**2 - 17*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*a*c*d + 10*a*c - a*d**4 - 31*a + c*d**2 wrt d?\nAnswer: -86*a*c - 4*a*d**3 + 2*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/7))\/(w\/(w**(-1\/3)*w*w)*w) assuming w is positive.\nAnswer: w**(23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*q**2*z**3 + 2804228*q**2*z**2 + 3*q**2*z - 504*q*z**3 + 2*z**3 wrt z.\nAnswer: 144*q**2 - 3024*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, -0.1, -0.4, -295, -3, 2\/3, 51?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -48 (b) 3\/7 (c) 5\/2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -3*s**2 + 11*s + 318. Let q(k) = 4*k. Calculate q(w(g)).\nAnswer: -24*g + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.7. Let g = q - 0. Let z = 1 - 0. Which is the nearest to z? (a) -1 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 7*w**3\/6 - w. Let o(q) be the third derivative of q**4\/12 + 4*q**2. Give m(o(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 3, -2, -3, 15820, 1 in decreasing order.\nAnswer: 15820, 4, 3, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14780)\/23648*(20\/7)\/5.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 50. Let b be x(16). Let m(n) be the first derivative of -1\/2*n**b + 5 - 11*n. Determine m(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 80*t**5 + 675*t**2\/2 - 3640. What is the second derivative of b(o) wrt o?\nAnswer: 4800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.98 or -38506?\nAnswer: -38506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 917*o - 2143*o = -1066*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 89, 91?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -2\/5 (c) 1 (d) -24 (e) -2\/15 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c - 5. Let r(l) = -4*l - 3. Let v(n) = 5*r(n) - 3*s(n). Let i(a) = 5*a**2. Determine v(i(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122458 and 16?\nAnswer: 979664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38987825677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 12:49 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1160 (c) -1\/680\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02017974556 rounded to five dps?\nAnswer: 0.02018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 649*j - 11 + 11 as v + f*j and give f.\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = 22024 - 72784. Calculate the greatest common divisor of l and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -741.04325215 + 2378.\nAnswer: 1636.95674785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40126 - 17901. What are the prime factors of n?\nAnswer: 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246910 times -0.3?\nAnswer: -74073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -27*i + 32. Let q be j(3). Let w(k) = k**2 + 2*k - 3. Let s be w(0). Put q, 0, s, 5 in ascending order.\nAnswer: q, s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20830861769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3657941867.\nAnswer: 17, 215173051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14158*g**2 - 40252*g.\nAnswer: -28316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + l**2 + 4*l**2 + 0*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4976*t + 9960. Determine a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*g + 628*g + 23039 = -16*g - 17361 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1433465, -1433201, -1432937, -1432673, -1432409, -1432145?\nAnswer: -1431881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 - 114 = -5*x. Is 32 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3002233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:12 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137*i*v**2 + i*v*x + v**2*x - v**2 - 8*v*x**2 with respect to x.\nAnswer: i*v + v**2 - 16*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.926.\nAnswer: 0.2778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 825243431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 + 248 = 20*w. Suppose 0 = -r - v + 44, -2*r - 5*v + 21 = -76. Let s = r - 29. What is the remainder when w is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 - 526*k - 8578. Determine f(-85).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11402305 or 11402268?\nAnswer: 11402268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {o: 1, z: 3, e: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157 + 159. Solve -10*t = -8*t + u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*b - 57*b - 3*b + (-4 - 2 + 5)*(-b - 1 + 1) - 4 - 2*b + 4 + (-2 - 4 + 4)*(0*b - 4*b + 3*b) to the form q*b + m and give q.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.4 - -11.8. Which is the closest to q? (a) 8 (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 2*d**4 + 11*d**3\/6 + 139*d**2. What is the units digit of g(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/12 - 19*a**2\/2 + 24*a. What is the first derivative of b(r) wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/204)\/(1*-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 31 = -4*i + 4*u, 2*i = u + 54. Let t be 5\/(15\/6) - 1 - i. Let l = -16 - t. What is the highest common divisor of 108 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6623*q - 1152*q**3 - 6623*q.\nAnswer: -1152*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 335*i + 2. Is 106 a factor of u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 3*k**2 + k**2 + 274*k - 3.\nAnswer: -2*k**2 + 274*k - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790*a**2 + 2388*a**2 - 803*a**2 - 785*a**2 - 3.\nAnswer: 10*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -282*l + 258*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.27 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9) - 4\/(-3). Let w = 11 + -3. Calculate the least common multiple of (0 + l)\/((-4)\/(-28)) and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*d**2*m*y + 2117*d**2*w**3 - 15880*d**2*y + 5*d*m*w**2 + d*w**3*y + 6*w**3 wrt y?\nAnswer: 4*d**2*m - 15880*d**2 + d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 - 356*y**4 + 2560*y**3 + 194830*y**2 + 185359*y - 382394 = 0. Calculate y.\nAnswer: -19, -2, 1, 29, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3879963 is divided by 3236?\nAnswer: 3235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*g**2 - 288*g**2 + 276*g**3 + 255*g**2 wrt g?\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 2)\/(-6)*-19*-2. Let x be o*1\/12 - (-2)\/3. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 19*g**3 - 2*g**2 + g. Let s be l(1). Let m = 2 + -4. Let z be (-2 - 0) + (5 - m). Solve -a = 3*k - 21 + z, s = 4*k - 2*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -389 (base 10) to base 8.\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*c - 214*c = -4*g + 14, g - 23 = 4*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57\/6 - (-1)\/2. Is 5\/u + (-3255)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*f + 11, -4*f - 3*u = f + 14. Let v be (-116)\/228 + 3\/6. Let s = v + 51\/38. Sort s, 0, f in descending order.\nAnswer: s, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*s)*(-10*s + 6*s + 0 + 2).\nAnswer: -8*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 10 - 2*f**2 + 8*f**2 + 0*f - 4*f**2 to h*f + r + k*f**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a decade in months?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, z: 5}. What is prob of picking 3 z?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -31132 divided by 6?\nAnswer: -15566\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -20*n - 33. Let a(l) = 42*l + 67. Let h(p) = 4*a(p) + 9*j(p). Let w(v) = -4*v - 10. Determine -4*h(m) + 11*w(m).\nAnswer: 4*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.59, -13, -1\/2 in ascending order.\nAnswer: -13, -1\/2, 14.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 6*n**2 - 70*n + 12. Is y(-8) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 13*w**2 - 10*w - 8. Let f be v(-4). Suppose -5*d = 2*n - 150 - 105, -5*n = 5*d - f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 459 = k. Let i = k - -343. Suppose 0 = -5*w - 5*v + 210, -3*w + 110 = -0*v - v. Calculate the greatest common divisor of i and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 3*i - 744. Let y = -157 - i. Suppose -4*r + 222 + y = -o, -5*r + 398 = o. What are the prime factors of r?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-16))\/((-3)\/(-12)) + 740. Suppose -2*j - 361 = -2*r + 3*j, 0 = -4*r + 3*j + m. Calculate the greatest common divisor of 47 and r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y - 3. Let m(l) = -l**3 + 3*l**2 + 4*l + 1. Let k be m(4). Let t be a(k). Suppose 0*u = -t*u. What is the biggest value in u, -5, -3\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-1)\/(0 - -1)). Let n = 1 - c. Suppose 12 = 4*d, 3*v + d + 12 = 4*v. Solve -n*m + v = -0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 + -18)*2\/(-6). Suppose 0 = 4*j - l - 13. Find the first derivative of j*t**3 + 5 - 4*t**3 - 5*t**4 + 2*t**4 wrt t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -x - 4, 7992 = -5*x + 4*k + 7968 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 16*i**2 + 20*i - 27. Let j be s(15). Let b = 46 - j. Put -2\/21, 0.1, b in decreasing order.\nAnswer: 0.1, -2\/21, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1326 + 415. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41620 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*w = -2443*w + 19853 - 93416 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -489 + 1?\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/176 and -1\/598.\nAnswer: 52624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5715882929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21113003 (base 5) to base 15\nAnswer: -37238","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 n, and 1 r when three letters picked without replacement from {e: 1, a: 2, r: 1, y: 1, n: 2, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 - 2*g - 12\/5.\nAnswer: -2*(g + 2)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let d be q(-3). Let z(x) be the second derivative of x**3\/3 + x**2 - 5*x - 143. Give z(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3 - (41 + -25) - -13) + -63?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63.3 - 60.3. Sort -4, i, -2.5, -5 in increasing order.\nAnswer: -5, -4, -2.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 2 - 2)*((-2 + 0 + 4)*(-3 + 0 + 2) - 5 + 0 - 2)*(-272*j**2 - 2*j + 2 + 277*j**2 + 6*j) to v*j + d*j**2 + q + r*j**3 and give d.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82\/17, 2, -0.3, -0.2, 0.\nAnswer: -82\/17, -0.3, -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*v - 27. Suppose -756 = -10*w + v*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -2*x**5\/15 + 5*x**4\/6 + 14*x**3\/9 - 5*x**2\/3 - 4*x + 21. Suppose n(v) = 0. What is v?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1123*u**2\/2 + 628*u - 990.\nAnswer: (u + 2)*(1123*u - 990)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 78228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000149 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2163231 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1754 - 1738. Solve 11*v - s*v = -15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)\/(v**1\/v)*((v**8*v)\/v)\/(v\/v**(-2\/11)) assuming v is positive.\nAnswer: v**(53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -126 - -138 - 3*6.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 5:25 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 11:02 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 76633049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 320 - -11. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6010 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 13. Suppose 0 = -a*r + 20 + 8. Suppose -60 = -r*u + 4*u. Calculate the highest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - 2f6a046?\nAnswer: -2f6a02e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*d = -104*d + 300. Suppose -3*z = -0*z - 15. Suppose 0 = 5*b + 5*a - a - 125, -3*b - z*a = -d. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 - 42*p**4 - 316*p**3 - 936*p**2 - 432*p + 1728 = 0. What is p?\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(300))\/(6*sqrt(60)\/sqrt(5)).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 13*w**2 - 65*w - 435. Is c(-12) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138689, 138690, 138691?\nAnswer: 138692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*b + 2126, -4*o - 4*b + 1466 + 6978 = 0. Suppose 2*q + t + 840 = 0, -o = 5*q + t - 0*t. Let l = 8016\/19 + q. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1179626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) -1\/4 (c) -11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 43. Which is the third smallest value? (a) 3 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 225562 + 5?\nAnswer: 225567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/(((-26)\/(-6))\/13). Let q(r) = r - 1. Let u(m) = 2*m**3 + 6*m - 6. Give a*u(g) + 12*q(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-14))\/(16\/14)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.513 + -0.013. Let d = 1.72 - -3.28. Which is the closest to -2\/3? (a) d (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1520601*q**6 + q**2 + 7*q + 45428 wrt q?\nAnswer: 182472120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*h + h + 3*u, 3*h + 4*u - 47 = 0. Suppose 5*c + q + 35 = 0, 25 = -7*c + 2*c + q. Let j = h + c. Calculate the highest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1768 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 0 + (15 - (26 + -28)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-49 - 0)\/(-1*(-2)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 11958 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(5040))\/((-1*sqrt(1008) + sqrt(1008) - sqrt(1008)) + (sqrt(700) - sqrt(700)*1)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 3, 4\/33, 0.5, -1, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.7 (c) 2\/13 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (0 - -3) - -597. Suppose -199 = 5*z - 2*k - a, k + 240 = 3*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25302 - 33167?\nAnswer: -58470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/18213 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 572593 > 572592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/(-45) + 26646\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1062 + 1061.8188. What is c rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**4\/24 - 3*z**3\/2 - 4*z**2. Suppose -3*f = -2*b - 27, 2*b = 6*f - 0*f - 54. What is h(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p. Let y(a) = a. Let x(w) = -5*v(w) - 8*y(w). Let z(g) be the third derivative of 0*g**3 + 1\/6*g**4 + 0 + 0*g + 59*g**2. Calculate z(x(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16972663931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Put -0.5, t, -5 in descending order.\nAnswer: t, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21, 2, 25, 48?\n\"Answer: 23*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2467*o - 2504*o + 1110. Solve -d - 26 = -o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4)*(-6)\/(-9))\/((-95)\/950)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + w + 8)*(0*w - 5*w + 6*w)*(1 - 1 - 1).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3\/15 + 22*c**2\/3 + 1208*c\/15 - 448 = 0.\nAnswer: -35, -24, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/(11152\/(-5904))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 20*i - 5. Let u be 7\/(-84)*6*(2 + -6). What is j(u)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010121201112 (base 3) to base 10.\nAnswer: -602681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2\/15 (b) 16488 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*y - 1 + 1 - 12*y to m*y + a and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 10*c + 42 = 0. Solve c = -4*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4767541.\nAnswer: 1723, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5555855332407 less than -1.2?\nAnswer: -5555855332408.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/477 and 97\/106.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.52 + -1.22. Let d = 153\/5 + -1056\/35. Sort d, -4, f.\nAnswer: -4, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11971735 - -1628265. What is j rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 2906 - 1344 - 1562.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 6:08 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76357 - -76359. Factor 1\/4*g**4 + 17\/8*g**3 + 6*g**d + 2 + 13\/2*g.\nAnswer: (g + 2)**2*(g + 4)*(2*g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 736.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106.54134 rounded to the nearest ten?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 124214681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 46 = -3*x - 9*y, -5*x + 65 = -5*y. Let m be ((-28)\/(-1274))\/(2\/x). Which is smaller: 35 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 + 7200*o - 7203 = 0. What is o?\nAnswer: -2401, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10441 - -43064. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-22))**(-24) assuming o is positive.\nAnswer: o**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 - -0.11. Let c = a + 0.0035. Round c to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from mmbbobomoobryhymmmh?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + sqrt(42)*-2)*2 + sqrt(672)*-1 + sqrt(672) + sqrt(672))\/(sqrt(294)*-1 - sqrt(294) - -4*((sqrt(12)\/sqrt(2) - sqrt(6)) + sqrt(6))).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 71 - 55*y**2)*(-14556 + 54*y + 14556).\nAnswer: -2970*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 3*x - 3. Let n be 8\/3 - 2\/(-6). Let g be o(n). Let k(m) = 6*m + m**2 - g*m. Let h(z) = 4*z. Give k(h(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 383 + -382. List the prime factors of 1482*(-40)\/(-150) + k\/(-5).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 plus -21254920?\nAnswer: -21254723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18281 - 18281. Solve 48 - 50 = -3*k + 5*f, l = 4*f + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -147007*g + 1323091. What is j(9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*w**2 + 12*w**2 + 8*w**2 + 2*w)*(0*w**2 - 3*w**2 + w**2).\nAnswer: 8*w**4 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 373, 456, 491, 478?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.90234345 + -0.9019. What is y rounded to 5 decimal places?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67900 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o - 19 + 19 + ((-1 - 1 + 3)*(2 - 4 + 4) - 3 + 5 + 0 - 3 + 1 + 4 + 6 + 3 - 1)*(2 - 1 + 0)*(-43*o - 41*o - 29 + 87*o).\nAnswer: 39*o - 406","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 17*d - 12. What is the units digit of s(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341.75 - 221. Let l = n - 121. Let v = 0.2637 + l. What is v rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153 + -88. Let l = 12 - -5. What is the remainder when h is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 16, 2 in descending order.\nAnswer: 16, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/5 + 16481*i\/5 + 98922\/5 = 0.\nAnswer: -6, 16487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 2, b: 1, n: 3, c: 1, x: 3}. What is prob of picking 1 x and 1 m?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*u**3 - 3*f*u**2 - 89*f*u - 2711*m*u**2 - 2711*m wrt u.\nAnswer: -6*f*u - 6*f - 5422*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = j - 1191 - 55, 1247 = 3*b + 2*j. Is 65 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 4, 0, -66 in descending order.\nAnswer: 4, 0, -3, -6, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 739, 740, 741?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784 + 1573 - 789 - 2*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -400*z**2 - 2*z - 8*z**4 + 11*z**3 + 7*z**4 + 399*z**2 in the form a*z**3 + p*z**4 + o + j*z + n*z**2 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 2. Let a(w) = w - 14. Suppose 0 = -2*b + 4, -4*x + 45 = 5*b - 17. Let h be a(x). Let z(y) = y. Determine h*i(n) - 5*z(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-2)\/(-14))\/(3\/(-49)). Sort p, 4, 1, 0 in ascending order.\nAnswer: 0, 1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - f - 12 = 0, 20 = 3*p + 4*f - 1. Let z be p\/(18\/4*(-3)\/(-18)). Which is smaller: z or 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -437383*m**3*v + 429*m**3 - 6819551*m**2*v + 10*m**2 wrt m?\nAnswer: -2624298*v + 2574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2. Let l be k(0). Let g = l + -1. Which is the smallest value? (a) g (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*b - 552 = 8*b. Solve -a + 0 = -4*w + b, 5*w + 4*a = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4099067 is divided by 372?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -5)\/(6\/(-10)). Suppose 5*g + 5*b = 20, 0 = -l*g + b - 3*b + 29. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 30*i**3 + 4888*i**2 - 331*i - 821. Calculate n(-163).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001926 rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111781.\nAnswer: 111781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, r: 5, h: 3, b: 2}. What is prob of picking 1 i and 1 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -2, 0.031, 0.5, -5 in descending order.\nAnswer: 0.5, 0.031, -0.02, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -437 - -440. Let g(h) be the first derivative of -5\/2*h**2 - h - 8\/3*h**o - h**4 - 8. Determine w, given that g(w) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2891241584 to the power of 1\/2, to the nearest integer?\nAnswer: 53770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1100\/(-4125) - 368\/(-30). Which is smaller: d or 311\/29?\nAnswer: 311\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlarallrlrrrl. Give prob of picking 1 a, 2 r, and 1 l.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355 (base 7) to base 4.\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -37*m + 44*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000114098 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2 - 49300856*c - 151910900145796 = 0. Calculate c.\nAnswer: -6162607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/2862 and 101\/35370?\nAnswer: 1874610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -597663.24887 - -524904.238. Let v = -72878.01 - x. Let b = 119 + v. Round b to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.32 and -1053.\nAnswer: 336.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*y = -3, 2*i = -3*i + 4*y + 14. Factor 20*h**i + 15*h - 486 + 5*h**3 + 486.\nAnswer: 5*h*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Suppose -2*s + 5*s - 5*b = 35, h*s = -3*b + 27. Let p be s\/15 + (-50)\/(-6). Solve -4*c + 2*o + p = -15, 0 = -c + 5*o + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j)**(2\/13)\/((j\/j**(2\/23)*j)\/(j**3\/j*j)))**(-2\/29) assuming j is positive.\nAnswer: j**(-834\/8671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2428 + 4965\/2. Is n equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145894 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00565657 rounded to four decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 510 and 515 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11774 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 24 + 7*x)*(-x - 3 + 0*x - 6).\nAnswer: -7*x**2 - 63*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -508*r**4 + 8*r**3 + 934*r**2 + 244*r**4 + 21*r**3 + 266*r**4 + 3*r**3 wrt r?\nAnswer: 48*r + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-26)*(-4 + -1)\/30. Let w = 18 + -13. Let y = 1 + -3. What is the closest to m in y, -3, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933781241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52127329, -52127330, -52127331, -52127332, -52127333?\nAnswer: -52127334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 10\/3*k**2 + 0*k + 0 + 26\/3*k**4 + 4\/3*k**5 + 32\/3*k**3 = 0.\nAnswer: -5, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*o - 22 = 0, -t + 31*o - 36*o = -23 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v = -63*v - 35*v. Put 20, v, 15 in ascending order.\nAnswer: v, 15, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 6 = 6*q. Let v be (q\/15)\/((-15)\/(-50)). Which is the nearest to 0? (a) v (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 13*d + d - 5*d to a + t*d and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/17 (c) -2\/7 (d) -1\/2 (e) 0.142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - -11. Let i(b) = -b**3 - 9*b**2 - 12. Let x be i(-10). What is the remainder when a is divided by x\/10 + (-6)\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003020148305 rounded to seven decimal places?\nAnswer: -0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -117*t + 23347. What is l(202)?\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*7\/(3 + -2). Suppose -2*g + o*g = 0. Suppose n = 2*n - 5*r - 37, g = -5*n + 3*r + 229. Calculate the remainder when n is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 0.3 (b) 3\/214 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*w**2 + 491*w**2 - 168*w**2 - 163*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1201*b - 70499. Determine x(-59).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 + 2*v**5 + v**5 + (-2 - 2 + 2)*(2*v**5 - 2*v**5 + v**5).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58345789 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -8, 12, 54, 124, 228, 372, 562?\n\"Answer: f**3 + 2*f**2 - 9*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 340.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 5*b + 1. Let p be 27*4\/24*2. Let h = p - 4. Suppose -4*x + h*x + 5 = 0. Determine z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**6\/360 - x**5\/60 + x**4\/24 + x**3 + 1. Let h(z) be the third derivative of l(z). Calculate h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 51 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z + 1. Let q be d(-3). Let p be 3\/((-12)\/(-20))*q\/30. Suppose 4*w + 3 = 5*w. Is w at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 12*v - 6. Let u be 4 + (v\/(-4) - (-6)\/24). Solve 4*c + 0 = u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1305 and -91\/2610.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - n**2 + 2*n. Let j be y(0). Suppose -2*m = -2*k - 560, j*k - 16 = -4*k. Suppose 7*q = m + 52. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 - 1 = 0, 0 = 2*h - q - 33. What is the least common multiple of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f - 1. Let g(u) = -24*u - 88. Give -g(r) - n(r).\nAnswer: 16*r + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -222376 + 107376. What is k rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 98?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 15*f + 4. Let g be c(-10). Is -2*(-3)\/(-6) + g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -13*j - 18*j. Suppose -j*z + 330 = -60. What is the remainder when 318 is divided by z?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -12. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/3*(-62)\/(-248))\/(2\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 14*u**4 + 0*u**4 + (-5*u + 3*u + 3*u)*(0*u**3 + u**3 + 0*u**3).\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75 - -1 - 0)\/(-2). Let u = -21 + z. Suppose 2*j + 0*j = u. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:29 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {y: 2, z: 2, j: 1, c: 3, o: 2, t: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-8))\/((-63)\/18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 31 - 731 = 0. Let p(w) = -w**3 - 37*w**2 - 76*w - 40. What is the units digit of p(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, z: 2}. Give prob of picking 2 l.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:24 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2265, 4530, 6795, 9060?\nAnswer: 11325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - w + 10)*(235*w - 590*w + 623*w).\nAnswer: -268*w**2 + 2680*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 6. Let c = x + 4. Suppose 2*q = 5*y + 20, 4*q - c*y - 29 = -q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*g - 8. Factor -5*v**g + 3*v**3 + v**3 - v**2 + 2*v**2.\nAnswer: -v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41805 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150583 is divided by 18821?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azr when three letters picked without replacement from {a: 1, z: 1, f: 2, l: 1, r: 2, q: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4 - 5*j**3 - 47*j**2 - 39*j + 90 = 0.\nAnswer: -3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3793.\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o + 27 = 2*m, -2*m = -6. Suppose 0 = -o*s + 33 + 23. Let d be ((s\/30)\/(-4))\/((-11)\/132). Which is the nearest to 1\/4? (a) 2 (b) 2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*u - 128, -2*w + 162 - 78 = u. Suppose -6*k = -w + 28. Solve -8\/5*v**4 + 0 + 2*v**3 + 2\/5*v**5 + 0*v - 4\/5*v**k = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173908 is divided by 34621.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53745 is divided by 17886.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 6. Suppose f*r = -3*o + 157, -3*r + 261 = 6*o - o. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2457 - 6624792?\nAnswer: -6627249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222186 is divided by 74031?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, t: 4, y: 1, g: 9, z: 1}. What is prob of picking 2 u?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}