diff --git "a/data/dm_maths/full_data/2207_11255.jsonl" "b/data/dm_maths/full_data/2207_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2207_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y = -7961 + 175113\/22. Let u = y - -3\/2. Let g = 7 + -7. Put -1\/4, g, u in increasing order.\nAnswer: -1\/4, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910889583.\nAnswer: 3, 19, 15980519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*j + 290 - 1039, 4*r + 4*j = 604. Calculate the smallest common multiple of 3 and (-1)\/6 - 0 - r\/(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*r**5 + 259*r**2.\nAnswer: -3720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/54600 and -11\/315.\nAnswer: 163800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, x: 3, v: 4, r: 1, e: 4, p: 1}. What is prob of sequence rez?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36217148 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 37873 = w, -121 = -3*c - 136. What is w rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8\/5 (b) -73 (c) -2\/17 (d) 0.024 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.8. Let t(l) = -6*l**2 + l + 1. Let w be t(4). Let u be (w\/(-21) - (1 + 3))*1. Which is the nearest to q? (a) 2\/3 (b) u (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 660\/(-176)*8\/(-6). Suppose u = -y, -6*y - 16865 = -5*l - 3*y. What is l rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -684 + 3421\/5. Let s(d) be the second derivative of l*d**5 - 1\/15*d**4 + 5*d - 14\/75*d**6 + 0*d**3 + 0*d**2 + 2\/35*d**7 + 0. Factor s(p).\nAnswer: 4*p**2*(p - 1)**2*(3*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -97. Let t = 24 + -28. Let w be (0 - 0)\/(1 - 0). What is the third biggest value in w, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9054 or 3332?\nAnswer: 3332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113883 - 70304. What is the ten thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 497 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 904\/452*(-1)\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -8)*(4\/2 - 1). Suppose -3*l - 30 = -3*f, -u*f = -l + 2*l - 15. Let k = 0 + 0. Sort f, k, -1 in descending order.\nAnswer: f, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -267 + 172*w - 26*w**2 - 343*w + 269 + 168*w. What is f(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 787540 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (2 - -12) - 1. Suppose 3*a - 2*a - b = 0. Let x be 17\/5 - a\/30. Solve x*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 23467560.\nAnswer: 23467560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 10) + (4 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46.5 + -45.5. Which is the biggest value? (a) s (b) 1\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1514 = 5*o - 2226. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 6*o**2 + o - 2. Let q be i(6). Suppose 0*w + 452 = q*w. Suppose -2*n + 103 = -w. Is 27 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35\/117 + 7753\/234. Which is bigger: 2\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13391\/(-21) - 2\/(-3). Suppose 3*g - 332 = 7*g. Let h = k + g. Round h to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.168883 rounded to one dp?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 555, 822?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -65. Suppose -16*h + 18*h - 32 = a. What is the lowest common multiple of h and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8322.1034 - 8324. Let w = 0.042 - 1.942. Let q = w - f. Round q to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620\/620*-1*1*(-6)\/474.\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 6*z + 0*z)*(-3*z**2 + 0*z**2 + z**2)*(-1 + 2 + 4) to b*z**2 + a*z**3 + f*z + w and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 5. Let q be k(-3). Let t(n) = -7*n + 1. What is t(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*p - 1329, -5951 - 687 = 5*g - 3*p. Let z = g + 1927. Suppose 0 = 5*t - 8*t + z. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f**(2\/31))**5\/((f\/f**0)**24*(f*f**0)**(-1)) assuming f is positive.\nAnswer: f**(-1343\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:46 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18850 is divided by 303.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4960*y**3 + 5088*y**3 - y + y.\nAnswer: 128*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*q**3 + 195*q**2 + 1 wrt q?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13088\/14 - 36\/(-252). Let w = l - 23. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 = n, -5*w + 5*n - 15 = -0*w. Let t = -87 - -89. Solve w = -d + 4 - t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 231, 462, 691, 918, 1143, 1366?\n\"Answer: -a**2 + 234*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o*p**2*r + 43*o*p + 25*o*r + 3*p**2*r + 40*p**2 wrt p?\nAnswer: -2*o*r + 6*r + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17563691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*w**2 - 5*w**2 + 4*w**2)*(-4 + 4 - 2) + 4*w - 4*w + 2*w**2.\nAnswer: -82*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*v**2 - 3 + 3 + 12 + 8198*v**6 - 8396*v**6 wrt v?\nAnswer: -23760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2969997*g - 3. Let l be (-2)\/11 + 570\/110. Let y be l\/6 + 6\/36. Let x be c(y). Round x to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11184 is divided by 1116?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 67\/48 (b) -45 (c) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30233*s**3 - 101424*s**3 - 156065*s**3.\nAnswer: -287722*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184205 = 7*i - 67*i + 51415. Calculate the greatest common divisor of i and 1155.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23524 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/9 - 14601\/21195.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msmesmmkss. What is prob of sequence ess?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -44*d. Let w(z) be the first derivative of -z**2 - 60. Give w(v(g)).\nAnswer: 88*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 870, 1247, 1624, 2001?\nAnswer: 2378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 847 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15547*c + 4586364. Calculate g(295).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2272 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**4\/12 + k**3\/3 - 742*k. Let t(n) = -5*n. Determine t(f(r)).\nAnswer: -5*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-39 - 8) + 37.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -797 + 1594 + 17*w - 797.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 99310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 7, -z = -0*n + n + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 226, 236, 246, 256?\n\"Answer: 10*b + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -4*f**3 - 6 + 61 + 35*f**3 - 29*f**3. Let t(w) = 17*w. Calculate x(t(n)).\nAnswer: 1734*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 20 = 4*u, 0 = 2*u - c - 3 + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**5\/120 + 7*t**4\/24 - 7*t**3 + 26*t. Let h(c) be the second derivative of i(c). Determine h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*w**2 + 0)*(1236*w**3 + 2*w - 778*w**3 - 698*w**3).\nAnswer: -480*w**5 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13607389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -13, -2 in decreasing order.\nAnswer: -2, -5, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-84) + (7865\/330 - 24).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 52 = 136. Let k be w\/4*(960\/18)\/(-20). Solve v - 4 = -3*p, -k*v + 0*p - 2*p = -16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 1. Let b(x) = -19*x**2 + x - 20*x**2 + 36*x**2. Give b(v) + j(v).\nAnswer: -3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/202 or -204?\nAnswer: -3\/202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*z + 645857. Let f = z + 455857. Round f to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3045 and 43\/10005.\nAnswer: 70035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*a - 20, -3*v + 5 = -2*a - 10. Suppose 6*j = v*j. Let n be (j + 1)\/((-8)\/(-16)). Solve -4 = 2*y + n*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33499 and -4.7.\nAnswer: -157445.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + p + 9 = 0, 0 = 4*m - 3*m + 4*p + 15. Calculate the greatest common divisor of 8 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-10) - (714\/(-72) + 6\/(-3) + 13)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzkzekkykzyekzz. Give prob of sequence se.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3648.71 + -53.\nAnswer: 3595.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/64?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 less than -1505\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11330120 - -10?\nAnswer: -11330110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51967\/17 + (-158)\/(-1343)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3296*o + 96. Let t(a) = 34*a - 1. Let y(w) = k(w) + 96*t(w). Let g(b) = -15*b - 1. Give y(g(z)).\nAnswer: 480*z + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2*r - 17 + 7 - 7*r + 4.\nAnswer: -9*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6224741 is divided by 3703?\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3\/9)\/(19\/(-57))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001248792 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/29 in 3, -0.213, 21\/11?\nAnswer: -0.213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -16. Let i = 1 - 1.04. Let v = i + 0.34. Is l bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - -19)*4\/(-16). Let q(x) be the third derivative of 5*x**4\/24 - x**3\/3 + 19*x**2. Determine q(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1290566 divided by 3.\nAnswer: 1290566\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieieefeyyiefyfe. Give prob of sequence ife.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 16886.\nAnswer: 50658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196850*q + 196846*q = -2*z + 240, 2*z - 2*q = 68 + 52 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 2012101021?\nAnswer: 2012100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 134846 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*l - 25*l + 184. Calculate the lowest common multiple of 12 and l.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 388 + -383. Suppose 0 = 5*v - c*q - 1780, v + 9*q - 347 = 7*q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((2 - -5) + -2 + 560 + -560)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**(-2\/9)\/k*k))\/k*k)\/k)\/k)**43*(k\/(k**6\/k))\/(k\/k**10) assuming k is positive.\nAnswer: k**(-643\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*g - 3 = p, 2*g = 0. Let i be (9\/3 + 10)*p. Let w = 49 - i. Calculate the smallest common multiple of w and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/(18\/1188). Solve -3*i + s = 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -5*n, 4*n - 9 = -2*a - a. Let y(f) = 5*f + f**a - 7*f**2 + f**3 - 2 - f**3. Give y(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 13*w - 44. Let l be r(-17). Suppose l*g - 713180 = -2*g. Round g to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x = -95*x - 81*x - 1296 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/56*-10 - 2\/(-7). Let h be (-3)\/z - ((-16)\/(-20) - 4). Let i(d) = d**2 + 4*d + 5. Let g be i(-4). What is the closest to -1\/2 in -0.2, h, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + -4.94. Let l = -0.2 + 0.3. Let k = -386 - -388. Which is the smallest value? (a) r (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79755 or 79754?\nAnswer: 79754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000101111 (base 2) in base 5?\nAnswer: 122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 105\/(-140)*(-8)\/(-9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(30\/(-54)*-9)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1690 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-230)\/(-30) - 1\/(-3). Suppose -69 = -22*o - 3. Solve -3*f = -f - o*n + 12, -3*f = 2*n - y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 0.3, -7, 0.04139?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (704*q + 821*q - 248*q + 461*q)*(5*q - 4*q + 4*q**2 + q) + 0 + q**3 + 0.\nAnswer: 6953*q**3 + 3476*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/12*(-7)\/(-14)*-3*(-29)\/(-2001)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 119*u**2 + 17*u - 1. Let x be r(1). Calculate the highest common factor of x and 1080.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920 is divided by 928.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 3*z**2 - z. Give t(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, -0.13, 0, 30.\nAnswer: -5, -0.13, 0, 0.5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -393 + 802. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3569 + 5153. Let g be 640\/q + 1\/18*-4. Which is the second biggest value? (a) 2 (b) -1 (c) g (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 22 - 130. What is the remainder when 66 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f + 0*f - 2*f + (-6*f - f + 5*f)*(111 - 74 + 107) - 3*f + 0*f + 2*f + (-4 + 4 + f)*(-3 - 2 + 4) as n*f + v and give n.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-112))\/5*4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1.6, 2, -1 in descending order.\nAnswer: 2, 1.6, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttfl. What is prob of picking 2 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*k = -15, 3*k - 14 - 1 = 0. Let p be -1 - -2 - l\/(-7). Is p less than -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*i**2 + 38*i**2 + 520 + 58*i**2 - 657 to the form c*i**2 + l + u*i and give l.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227550011 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25425?\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-8 - 2 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5958000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(12) + 2 + 0 + sqrt(12) + 1.\nAnswer: 3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 176.72 and 106434546.\nAnswer: 106434722.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -9767?\nAnswer: -58602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022379446 rounded to 7 dps?\nAnswer: -0.0002238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*x**3 - 1345137*x + 13065823 wrt x.\nAnswer: 15*x**2 - 1345137","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*((d\/((d*d**(-1\/3)\/d*d)\/d))\/d)\/d)\/d)\/d)\/d*d*d*d)\/((d*(d\/((((d*d**(-4))\/d)\/d)\/d))\/d)\/d) assuming d is positive.\nAnswer: d**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176638677.\nAnswer: 3, 58879559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o*o\/o**(5\/2)*o**(1\/4)*o**0\/o)\/(o*o**6*o**(-1))**(2\/91) assuming o is positive.\nAnswer: o**(-1787\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a centimeter in millimeters?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42515.57 nanoseconds to seconds.\nAnswer: 0.00004251557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:25 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 28. Suppose 9 - c = -t. Let y be -2 + (-4)\/(-38)*(-140)\/t. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2*sqrt(52) - (4 + sqrt(52)\/sqrt(4))) + (((sqrt(104) - ((sqrt(104) - (sqrt(104)*3 - sqrt(104))) + sqrt(104)))\/sqrt(8))**2 + -4)*5.\nAnswer: -4*sqrt(13) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254302037.\nAnswer: 13, 29, 5979581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 225911 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103343 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 39. Let u = 13 + -9. Suppose i - 145 = -u*i + k, q = 4*i - 3*k - 105. Solve 5*l - i = -10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 4*v - 40, 2*q + 3*v = -2*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u + 120*u = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10 + (-2)\/((-10)\/7). Sort b, 4, 2 in ascending order.\nAnswer: b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169265\/81 - 6269\/3. What is the second smallest value in o, 0.1, 3, 2, -6\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 485, 672, 1203, 2258, 4017, 6660, 10367, 15318?\nAnswer: 21693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 28?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 935 + 265 = 5*m. Let c be m - (1 - 5\/2)*-2. Suppose 2*b + c = 5*b. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w + 16*w + 2*j + 16, 0 = -j - 2. Calculate the highest common factor of 363 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*g + 5*y + 21 - 1, 3*y = 7*g + 11 - 34 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -68. Let f = n + 59. Let g be (-21 - -12)\/(18\/(-4)). Solve 3*x + g*x = f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10185 and 209475.\nAnswer: 20319075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-837)\/558)\/((-3)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.73 + -18.27. Which is smaller: -22\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -5*p + 40, -8*l - 2*p + 25 = -13*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p - 75. Calculate the highest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.11211296\nAnswer: 0.044845184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1209)\/(-104) - (-15)\/40. Solve -3*i - q = -2*y, 3*y = 3*i + 17 - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2661 - 799. Which is smaller: 1\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2184 and -59\/37758?\nAnswer: 1963416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g, -o - 356460*g = -356462*g - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -894 + 611. Let s = b - -282.9. What is the nearest to -2 in 4\/5, -2\/3, 0, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 103, 153, 201, 247, 291, 333?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 4*u - 331*u**2 + 0*u - 403*u**2 - 6*u to the form n + r*u**2 + d*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (sqrt(8)\/sqrt(4) - sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(1*sqrt(2))**2 - (5 + sqrt(8))**2*4.\nAnswer: -132 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - h**2 - 4*h - 81*h**5 + 2*h + 82*h**5. Let j(d) = -15*d**5 - 10*d**4 - 5*d**3 + 30*d**2 + 30*d. Let z(w) = j(w) + 30*r(w). Factor z(k).\nAnswer: 5*k**3*(k - 1)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156 - 98. Let s = q - 58.000226. Round s to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 670 and 67.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -27 - 1\/3*a**3 + 1\/3*a**2 + 27*a = 0. Calculate a.\nAnswer: -9, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -17*d + 24. Let w be p(3). Let t(a) = a + 26. Let g be t(w). Let u = -9229\/26 + 355. Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*v - 21076952 + 21076952.\nAnswer: 213*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55769 divided by 2?\nAnswer: 55769\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 356*v - 97. Let b be r(-19). Sort b, -5, -2593 in descending order.\nAnswer: b, -5, -2593","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 + 1027 = 98*p - 1118. Solve -97 + 137 = -p*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r + 0*r - 86*r + 28*r.\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**4 - 11*f**4 + f**2 - 2*f**4 + (1 - 1 + 2*f)*(2*f**2 - 2*f**2 - 11*f**3) to the form h + r*f**2 + a*f**3 + k*f**4 + x*f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g - 3*g)*(5*g + 0*g - 4*g + (-3 + 2 + 2)*(1 - 1 + 2*g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -490, -1744, -3820, -6718, -10438?\nAnswer: -14980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -4. What is the common denominator of 41 and 78\/k*5\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12 = 3*h. Suppose 0*x + 3*x - 9 = 0, h*i - 123 = -3*x. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4451 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 the next term in 452976, 452973, 452970, 452967, 452964?\nAnswer: 452961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 25\/336*j**8 - j**2 + 0*j**4 + 5 + 0*j - 1\/60*j**6 + 0*j**3 + 0*j**7 - 3\/2*j**5. Find the third derivative of q(p) wrt p.\nAnswer: 1500*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = w - 5*d - 280, -w - 4*d = -426. What is the remainder when w is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4923 - 98?\nAnswer: -88.5077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8201.9151ns?\nAnswer: 0.00000000227830975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v + 123 = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1, -0.21, 4, 2906, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 32*b**2 + 3*b + 39. Let y be f(-16). Let a be (12\/(-9) - -1)*y. Solve 2*o + w = 3, -2*w + 7 = -a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11155 + 12094. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*b = 36, 92*m = 170*m - 77*m + b - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*w + 5 = -w, 0 = p + 2*w + 5. Let h(o) = -o**3 + 7*o**2 + 3*o - 16. Let z be h(7). Solve z + p = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*c + 49*c + 58*c as n*c + i and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 0 = -5*o - m, -8*o - o + 3*m = -15*o + 7*o + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -68.8.\nAnswer: 63.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3566, 1611, -348, -2311?\n\"Answer: -2*a**2 - 1949*a + 5517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 8. Let t(z) = 4*z + 8. Give -3*o(a) - 2*t(a).\nAnswer: a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**3 + t**3 + 8*t**3)*(-191*t + 230*t - 586*t) to f*t**3 + b + a*t + n*t**4 + y*t**2 and give n.\nAnswer: -4376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -749, -1128?\nAnswer: -1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -553 (base 13) to base 15.\nAnswer: -40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*n - 7, 2*n + 3 + 7 = 4*j. Suppose -14 = -j*r + 6. Find t such that 20*t**3 - 4*t**r - 8*t - 8*t + 28*t**4 - 28*t**4 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*w - 95 = -2*q, -4*w = 2*q - 172. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1472204, 2944380, 4416556, 5888732, 7360908, 8833084?\nAnswer: 10305260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 4034.1634818.\nAnswer: 4034.1634818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -24*t + 28*t - 8, -5*t = 5*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 5. Suppose -j*z + 10 = -2*x - 3*x, 4*z = 16. Factor t - 2*t**3 + t**2 + 0*t**x + 0*t**3.\nAnswer: -t*(t - 1)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.41, 9.8, 2, -5, -4\/7, -1 in ascending order.\nAnswer: -5, -2, -1, -4\/7, 0.41, 2, 9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 6)*(2*a**3 + 2*a + 3*a**3 - 4*a**3) as n + x*a**3 + v*a + q*a**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/10 and (13\/78)\/(4\/(-354))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/20 - -10*24\/300.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*s - 567918, -3*s + 3*i = 2*s - 709901. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-112))\/((-8)\/(-112))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 + v**2 - 6*v + 4*v**3 - 2*v**3 - 4*v**2 = 0 for v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 493915 and 1903.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrrrrbrrfqxxbf. Give prob of sequence qbf.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/48 - (-41)\/66. Let q = -4 - -4. Are m and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 + 17*d**3\/4 + 107*d**2\/4 + 75*d\/4 - 99\/2.\nAnswer: -(d - 22)*(d - 1)*(d + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105034 (base 8) to base 7.\nAnswer: -205036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 707148?\nAnswer: 16264404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9233262786 to the nearest integer?\nAnswer: 2098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 5*q**3 - 14*q + 4*q.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -571, -572, -571, -568?\n\"Answer: a**2 - 4*a - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 23 and 4497885 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.054 - -0.946. Let q = -0.3 + -1. Let m = y + q. Which is the second smallest value? (a) -4 (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 11*a**2 - 12*a. Suppose x = 3*x + 20. Calculate the lowest common multiple of l(x) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v + 137. Let q be m(-8). Suppose 0 = 4*d - k - 237, -d = -2*d - 5*k + q. Calculate the highest common factor of d and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16977, 5, -7, -1.\nAnswer: -7, -5, -1, 5, 16977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (sqrt(36) + sqrt(144)))\/sqrt(12) + -4*(sqrt(3) + -1) - (-2 + sqrt(12)\/sqrt(4) + sqrt(48) + 0)**2.\nAnswer: -75 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4919885 is divided by 3158?\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -11 + 19 + 6 - 11) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/20 and 137\/1050?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k**2 - k. Let w be (-2 - (-5 - -1))*10. Suppose 11*n - w*n = 9. Determine r(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 147407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 55 times -1\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + 2*h - 8*h + (-3 - 4*h + 3)*(-2 + 1 + 3))*(-1 + 1 + 2*h)*(-17*h - 18*h + 2*h).\nAnswer: 1386*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21291?\nAnswer: 3, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) 1 (c) -1\/64 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from nnmwmnnudwnwnuw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 11:54 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {o: 1, u: 6, s: 5, h: 2, n: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 12\/25 of a micrometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 192709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2255297, 4510600, 6765903?\nAnswer: 9021206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p. Let a(h) = -37*h. Determine c(a(w)).\nAnswer: -37*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1583*f - 6986 = 19925 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3549.97l to millilitres.\nAnswer: 3549970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 6*w**2 + 4*w - 2. Is 20 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2423 (base 5) in base 10?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 21. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.9 + -20477942.\nAnswer: -20477937.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 104 + 18. Let b = g - -23. Let u be b\/(-8) - 1\/(-4). What is the highest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -50*g + 35. Let h(w) = 3*w - 2. Give -35*h(s) - 2*j(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 29*h**2 - 32*h - 37. Calculate the remainder when 44 is divided by a(-30).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*b**2 - 41*b**2 - 99 - 31 - 280 - 123*b**2 wrt b.\nAnswer: -510*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 5*l**2 - 2*l + 3. Let d be s(-4). Let h(c) = -c**3 - 5*c**2 + 4. Give h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = -4*h - j, -5*h + 355 = 8*j - 6*j. What is h rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 112*-1 - (-1 - 10\/(-6)). Let d = v - -2797\/24. Find the common denominator of (94\/(-21))\/(12\/9) and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**5\/60 - 5*r**4\/24 - r**3\/3 + 13*r**2. Let c(t) = t**2 - 4*t - 2. Let u(l) = 4*c(l) - 3*f(l). Solve u(o) = 0 for o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 949.01 and 38466609?\nAnswer: 38465659.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f. Let u be b(0). Suppose 72 = i - u*i - 3*r, 2*i = 2*r + 144. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -15 - (19 + -36)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 2*w + (0 + 5 - 4)*(-4*w + 0*w + 2*w) - 2*w + 2 - 2 - 56*w + 37*w + 39*w + w - 2*w + 2*w)*(-w**4 + w**3 - w**3).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 7. Let p be i(-5). Suppose 0 = -p*k - 0*k + 9. What is the highest common divisor of k and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 12. Let a be (-7 + 7)\/(0 + 2). Suppose a = -2*u - 5*n + 9, n - 4 = -2*u + 9. Let t be y(u). Sort t, -3, 2 in decreasing order.\nAnswer: 2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 30. Suppose 355 = 3*m + b*p, m = 3*m + 4*p - 238. Suppose -2*j = -2*d + 50, -3*d + 2*j + m = 7*j. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t + 3*d = 6, 5*d - 10 = 5*t. Solve -4*h = -t*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (61000\/244)\/(-9 + 7)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.485 + -0.215. Sort 5, 1\/5, 0.1, r in increasing order.\nAnswer: r, 0.1, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -20*d**3 - 7*d**2 - 7*d - 28. What are the prime factors of c(-6)?\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -34*h**2 - 1\/24*h**4 + 0*h + 0 + 0*h**3. What is v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 20*d + 15 = 3*p, 0 = 5*p + d - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8894 or -8893?\nAnswer: -8894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*p + 1131 + 805 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 945?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1001222022022 (base 3) to base 10\nAnswer: 570302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11.61 * -2704.6\nAnswer: -31400.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 8*k + 0*k)*(-4 + 3 + 2)*(-k + 2*k + 8*k**3 - 4*k**3) - 3*k**4 - 3*k**4 + 5*k**4.\nAnswer: -41*k**4 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 5*s + 8. Let l be r(-9). What is the derivative of 44*q**3 + 4*q**4 - 9 - l*q**3 wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -21*z**2 + 72. Let f(r) = -r**2 + 3. Let j(i) = 24*f(i) - u(i). Let w(d) = d + 357. Calculate w(j(c)).\nAnswer: -3*c**2 + 357","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.19 (c) -2\/9 (d) 4 (e) 46 (f) 251\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200 - 216.8. Let g = -17 - m. Which is the nearest to -0.2? (a) -5 (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22084, -22422, -22986, -23776, -24792?\n\"Answer: -113*w**2 + w - 21972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llr when three letters picked without replacement from krrqrkqrrlrrlkvrkqk?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 14771, 56304, 138819, 275978, 481443, 768876, 1151939?\nAnswer: 1644294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -435 (base 12) to base 3.\nAnswer: -211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13733 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(5 + (-384)\/72). Which is the nearest to -1\/2? (a) 1\/7 (b) k (c) -12\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-9 + 0 - 4) + 94 + -25?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 37*x**4\/12 + 57*x**2\/2 - 52*x. What is the first derivative of b(c) wrt c?\nAnswer: 74*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5756, -47392, -160464, -380690, -743788, -1285476, -2041472?\nAnswer: -3047494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18793.899768 - -13703.\nAnswer: 32496.899768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*c + 6746 = -498 - 3871 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.11 + 1.76. Let w = n - 0.64994. What is w rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 29834749?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.67 and -529.\nAnswer: -11463.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 15 = 22*s - 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 50768352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/32 and 13\/176.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -31*l - 125*l + 7905 - 7905. Let o(z) = -6*z**2. Calculate o(f(a)).\nAnswer: -146016*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39808.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098 (base 12) in base 13?\nAnswer: abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.2 (b) -16.5 (c) 8 (d) 2 (e) 0.0889\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 4, 9\/2, -0.215?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-75)*(1 + -6). Sort -1, t, -4 in decreasing order.\nAnswer: -1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = -2*g - 3*l, 4*l = -12. Suppose -n + 2 + 6 = -g*a, -5*n + 5*a = -35. Calculate the greatest common factor of n and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.3, -0.1, 25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121666 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 340 = -0*u. What is the remainder when u is divided by (14 - (-1254)\/(-99))*(4 + 125\/10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 11. What is the units digit of g(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197179.\nAnswer: 23, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -288917.1352 to the nearest one hundred.\nAnswer: -288900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*4 + sqrt(26))\/(sqrt(6)\/(sqrt(15)\/sqrt(5))).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20043795*l*y**2 - 64*l - 57191 with respect to y.\nAnswer: 40087590*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7322.\nAnswer: 2, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**3 - 773247*d**2 + d + 704548.\nAnswer: -3*d**2 - 1546494*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3975?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + 0*k - k)*(-4 + 1 + 2) + 4*k + 2*k - k in the form c + u*k and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5 - 41208*q**4 + 164718*q**3 + 906324*q**2 - 164721*q - 865116 = 0. What is q?\nAnswer: -3, -1, 1, 7, 13732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-108) - 3878\/63. Is n bigger than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.9 + -29. Let z = -13 - -8. Which is the smallest value? (a) z (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.96 (c) 2\/7 (d) -0.1 (e) -3 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*g + 48*g - 458*g + 2*g - 47*g in the form x + h*g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*g + 230. What is the remainder when g is divided by 12\/(-14)*(-4 - 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -274*x**4 + 77*x - 74*x**3 - 145*x**3 + 22529*x**5 - 22609*x**5 - 6 + 58*x**2 = 0. What is x?\nAnswer: -2, -1, 3\/40, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4.3. Let o = 7261\/2 + -3630. What is the third smallest value in o, -3, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 6561046.\nAnswer: 32805230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 133 - 36 = 293. Solve 3*f + 1 = -5*y, -17*y + i*y - 8 = 2*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147784 divided by 392\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 3)*(2 + 1 - 5)*(-4 + 2 + 0)*(46*k - 98 + 98) + (-11 + 13 + 7)*(-2*k + 3*k + 0*k) as q + t*k and give t.\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**7\/70 + n**6\/20 + n**5\/20 + 8*n**2. Factor y(q).\nAnswer: 3*q**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -8 + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8693, -17089, -25189, -32999, -40525, -47773, -54749, -61459?\nAnswer: -67909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3 - 23. What is the second derivative of 2*x**3 - 7*x**3 + 3*x + x**3 - z*x**3 wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1576373 and -38\/912637.\nAnswer: 17340103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -17*y + 390. Let p be j(23). Sort -2, 10, -3, p in increasing order.\nAnswer: -3, -2, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than or equal to 21771325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(132) + sqrt(132))\/sqrt(11).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9857.42 + -71779804.\nAnswer: -71769946.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((sqrt(1216)*-1)**2 + -3 - 3*(1*sqrt(1900) + sqrt(1900))) + -5.\nAnswer: -180*sqrt(19) + 3635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -104\/3. Let u be (-12)\/10*(-10)\/3. What is the closest to a in u, -5\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*j**2 - 15*j**2 - 8*j**2 - 44*j + 118*j - j**2 as u + k*j**2 + x*j and give x.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from bbxxbbxbbbx.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 6*k**2 - 5*k + 1. Let i be r(-5). Let m be i + (-30)\/24 - (-17)\/4. Solve 2*v = m*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 13 = 4*l, 3*l = z - 2*l - 17. Let j = z + -1. What is the remainder when 11 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f + 8. Let s(n) = 6*n - 2. Let c be s(6). Is 20 a factor of c + f\/(-3)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**8\/i**6*i\/i**(-1\/7)*(i**(2\/9)*i*i*i)\/i assuming i is positive.\nAnswer: i**(338\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 756 + 748 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2084355 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u + 0*u)*(45 + 66 - 39).\nAnswer: -144*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 2*r**2 - 4*r + 1. Let x be p(-5). Let i be 21\/((-3)\/(-18) + 0). Let y = i - x. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 5*n + 6. Let k be g(-6). What is the common denominator of 15\/22 and 45\/k*11\/3?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -144, -5, 331791 in increasing order.\nAnswer: -144, -5, 2, 331791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*g + 11759 + 17493 = 173*g for g.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - b + 93 + 42, -135 = -r - 5*b. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95675985 and 810?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 411415\nAnswer: -123424.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 444205320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (4 + 3*sqrt(242))**2) + sqrt(242) + (sqrt(242)*-2)**2*-5)*2 - (sqrt(242) + 1 + sqrt(242) + 2 + 2*sqrt(242)*2 + sqrt(242)).\nAnswer: -14071 - 561*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 804.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 13 = -3*l, -l - 25*u + 23*u + 1 = 0. Let g(k) be the first derivative of k**2\/2 - 4*k + 1. Give g(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + w + 1. Let g be i(-2). What is the tens digit of (-171)\/5*g\/(6\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from {a: 4, t: 3, f: 2, n: 3, o: 1, y: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.00908 - 0.009. What is w rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 9:13 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3617664551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.06\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121040561, 121040559, 121040557?\nAnswer: 121040555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/7 + q**3 + q**2\/7 - q.\nAnswer: -q*(q - 7)*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q + 365. Let v(b) = -b - 33. Determine 4*k(y) + 44*v(y).\nAnswer: -12*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 3 (c) -1\/2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 7*h**2 - 5*h - 34. Determine g(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/10 + 2 + 73\/(-2). Calculate the lowest common multiple of 6 and (0 + 2)\/((c\/20)\/(-9)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37.56961 millilitres?\nAnswer: 0.03756961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -2.5, 1 in ascending order.\nAnswer: -2.5, -0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - n - 3 + 1)*(164*n**2 + 23*n**2 - 38*n**2).\nAnswer: -149*n**3 - 298*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 768*g**2 + 612*g**2 + 33*g**2 - 375*g**2 as x*g**2 + t + i*g and give x.\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 1 + 65*m**2 - 65*m**2 + m. Let a(v) = 3*v**4 - 3*v**3 + 9*v - 6. Let r(p) = a(p) - 3*f(p). Factor r(d).\nAnswer: 3*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 0 (c) -4 (d) 0.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**3 - 1059698 + 1059861 + 2*b**3 + 44*b**3.\nAnswer: 59*b**3 + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*o - 15 + 32 - 17)*(-538 + 4059 + 631) as s + l*o and give l.\nAnswer: -149472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1667 or 8333\/5?\nAnswer: 1667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(1 + -4) - -2. Let h(p) = -6*p**2 + 0 + n*p + 4 + 6*p - 3*p + p**3. Let g be -2 - 7*(-1 + 0). Calculate h(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 62*q**2 + 252*q - 1210. Let w be r(58). Sort w, -2, 4 in descending order.\nAnswer: 4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 25*f**2 - f - 22. What is c(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4)\/((-2205)\/252)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -145*x**2 + 18*x**2 - 5*x**3 + 7*x**3 - 245*x**2.\nAnswer: 2*x**2*(x - 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 - h**2 + 0*h**2 - 153.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6133 (base 12) to base 7.\nAnswer: 42522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*o = -25147462, -4*o - 15020514 - 10126976 = 2*a. Let v = -50907159 + 72130896. Let g = a + v. Round g to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m**3 + m**2 - m. Suppose -k + 12*k - 275 = 0. Suppose k*p - 120 = 15*p. What is the smallest common multiple of p and i(-2)?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 23*f**2 + 23. Let g(v) = -v. Calculate y(g(c)).\nAnswer: 23*c**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126\/(-462) - 2052\/(-22) is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 15 + 5. Let q(l) = -l**2 + 5*l + 4. Let o be q(5). Let b be o*-2*(-15)\/v. What is the greatest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130749398 to the nearest integer?\nAnswer: 11435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 - -1)*50\/4*-1. Let z = t + 129. Calculate the highest common factor of 12 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -33, -24, 3, 4.\nAnswer: -33, -24, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5192 + 9071. List the prime factors of u.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1101 + -7?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**3 - 6754*u**2 + 29*u - 36.\nAnswer: 30*u - 13508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*x + 16. Let n be (-1)\/(-4) + 199\/4. List the prime factors of x*5\/(n\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 210 = 5*a. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 + -339 - (1 - (0 + -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 385*l**4 + 21*l**2?\nAnswer: 9240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1120*c**2 - 313*c**2 + 193*c**2 + 1009*c**2 - 17*c**2.\nAnswer: 1992*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - d**2 - 2*d - 33. Calculate o(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltqaall. Give prob of sequence ta.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 3)*(-1 - 1 - 4)*(2*h + 4*h - 4*h)*(-2 + 2 + h**2)*(-2 + 2 - 2) to d + t*h + i*h**3 + c*h**2 and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -388 + 905. Calculate the remainder when q is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(7))**2 + (4 + (sqrt(7) - sqrt(28)))**2 + (sqrt(9072) + 0 + sqrt(9072) + sqrt(63) + -4)**2 + -2.\nAnswer: -618*sqrt(7) + 39444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3320 and 45.\nAnswer: 29880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 117 * -5.534\nAnswer: -647.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60943989*l**4 + 7280110*l**2 - 3 wrt l.\nAnswer: -1462655736*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -10*v + 15. Let r(u) = u**3 + 2*u**2 - 2*u - 3. Determine r(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 2*i**2 - 2*i + 4. Let o be n(0). Suppose -5*j = -4*f + 20808, f = o*f + 2*j - 15583. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10085 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*k*l**4*s**2 + 3*k*l - k*s + 6*l**2*s**2 - 3*l*s - 2*s**2 wrt l?\nAnswer: 108*k*l**2*s**2 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1121 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10\/v**5)\/(((v\/(v**(2\/17)\/v)*v)\/v)\/v*v*((v*v\/(v\/((((v\/(v**(-11)*v))\/v)\/v)\/v)))\/v)\/v) assuming v is positive.\nAnswer: v**(-66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z - 143. Let i(g) = 9*g - 159. Let w(n) = 10*b(n) - 9*i(n). Suppose 3 = 2*h - 5. Let t(y) = -h + 3*y**2 - 2*y**2 + 4*y + 0. What is -t(s) - 2*w(s)?\nAnswer: -s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190195 is divided by 63395.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:15 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than 0.95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1.18.\nAnswer: -0.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n**2 + 2*n - 186. Calculate v(-9).\nAnswer: 849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2. Let a be (0 - 7)*(4 + -5). Suppose 4*s - 3*m = a, 2*s + 7 = 5*m - 0. Let b(t) = 0*t + t - s*t. Calculate y(b(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*h**4 - 2*h**2 + 1)*(6*h + 45 - 45).\nAnswer: 12*h**5 - 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 60*z. Let n(s) = s + 0*s - 9*s**2 + 15*s**2 - s. Determine c(n(r)).\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -37. Suppose -6*y + 2*y - 5*d = 27, -5*d = -5*y. Let u = y - -7. What is the remainder when u is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 32708*x - 133726658.\nAnswer: -2*(x - 8177)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 - -124.07\nAnswer: 124.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2617, 2395, 1827, 739, -1043, -3693?\n\"Answer: -29*i**3 + i**2 - 22*i + 2667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2770 equal to -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -292 - 9.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -5357064\nAnswer: 48213576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 - 205. Let s = f + 431. What is the closest to s in 0, -45, 1, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h + 838 = -487. Sort -1, -8, h, 3, -3.\nAnswer: h, -8, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.152342 rounded to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 9:19 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 43*s - 147. Calculate o(15).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000931 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32aaa021 - 3?\nAnswer: -32aaa024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1021420 divided by 1\nAnswer: -1021420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -9558\/257?\nAnswer: -9558\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 2*s - 4, -4*a - 2*s - 4 = 0. Let x = a - -3. Find the third derivative of -6 - d**x + 6 - d**5 wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 9:51 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgggdgggggdggggddg. What is prob of picking 3 g and 1 d?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338942 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.10855 or 0.2473?\nAnswer: 0.2473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 9\/(-5) + 8\/(-40). Solve -2*c + l*c = 4*x - 8, -5*c - x = -11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12189 and 1632?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/15)\/(4\/(-36)). Suppose -m = -j*q - 10, -4*q + 15 + 5 = 2*m. Let t = 23 - 19. Solve -5*i + 28 = -6*v + 2*v, -3*v = t*i - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6770 and 1530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -93137 smaller than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45069803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + 311. Let j = -187 + i. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16687.\nAnswer: 11, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 >= -57\/33743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 285 or 4264\/15?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6902139 is divided by 490.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 2, 1\/3, -0.4 in increasing order.\nAnswer: -0.4, 1\/3, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 2)*(3*z + z - 2*z) - z + 5*z - z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 + 1 - (-2 + -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-16) + 2\/(-8). Suppose -t*w + n = 31, 0*w + 5*n + 61 = -3*w. Is (-3)\/3 - -1 - w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + 3*n + 6. Let h = -10 + 6. Suppose 0 = -3*t + 2*k + 1 + 8, 0 = -3*k. Let a(i) = 4*i**2 + 2*i + 5. Determine h*a(v) + t*r(v).\nAnswer: -v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8364 and 314388?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481094?\nAnswer: 2, 41, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221847 is divided by 8869.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 69, 71, 73, 75?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*66\/110.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**3 - 6*u**2 - 9*u. Let c(m) = -14*m**3 - 16*m**2 - 24*m - 1. Determine 8*a(p) - 3*c(p).\nAnswer: 2*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049797 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301100 - -131?\nAnswer: 301231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 - 2*r + 4*r - 2*r**3 + 4*r**3 - 3*r**2 to g*r**3 + h*r + j*r**2 + p and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 131*o - 24. Let l(q) = 14*q - 33. Let r be l(6). Let n = r - 44. Is m(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784623 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13631962*u**3 + 334*u**2 - 4713?\nAnswer: -81791772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 629 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 113, 229, 345, 461?\n\"Answer: 116*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -562325.42 to the nearest ten.\nAnswer: -562330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -155*i - 67. Let w(d) = -76*d - 33. Let f(x) = 4*g(x) - 7*w(x). Differentiate f(y) wrt y.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 651\/133 - 5\/(380\/(-8)). Let m = 2374\/11 + -216. What is the second biggest value in x, -6\/13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 72.1. Let t = g - -0.1. What is the nearest to -0.2 in t, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*m = 38, -5*y - 2*m + 96 - 10 = 0. Let k(n) = 3*n**2 - 9*n + 8. What is the smallest common multiple of y and k(4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -180 + 461. Let s = 585 - q. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37833926 = -285*h + 311*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.3. Which is smaller: y or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4, 6\/7, -811 in ascending order.\nAnswer: -811, 0.3, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89 + 7212*g**3 + 24*g - 94 - 6823*g**3 wrt g?\nAnswer: 2334*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5 = 1. Calculate the common denominator of 47\/5 and -1 - -3 - (-1)\/o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(5\/3)))\/o**(-9)*o**4*o*(o\/((o\/o**(-1))\/o))\/o)**(9\/8) assuming o is positive.\nAnswer: o**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 258390*z**6 - 98278*z**2 wrt z?\nAnswer: 31006800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) 0.4 (c) 0.523\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680904013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 3*g**2 + g + 2. Let x be b(2). Let n be -26 + (-1 - (-1 + x)). Let u = -9 - n. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -828894*t + 5802172. Calculate r(7).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1382858 is divided by 3053?\nAnswer: 2902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -163. Let o = r + 79. Suppose 8*h + 12 = o*h. Put h, -5, 2, -2 in descending order.\nAnswer: h, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18599568 and 15112149.\nAnswer: 241794384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - i - 4. Let k(p) = -2. Let w be (0 - 2) + 0\/(-8). Calculate w*z(l) + 5*k(l).\nAnswer: -2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -831, -1756, -2681, -3606, -4531?\nAnswer: -5456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -4*p + 24, -3*r + 2 = 5094*p - 5096*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, 1 u, and 1 d when four letters picked without replacement from {r: 1, u: 1, d: 7, f: 1, v: 8, l: 2}.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1344 is divided by 166?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 24\/(-16)*-2*268\/3.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-7) - (5650\/(-630) + 9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/5, -1\/3, 10, -0.06?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in -1, 1\/30, 0, 0.05, -5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 3*t - 4. Let b be x(-4). Let s(h) = -h**2 + 15. Let v be s(b). Calculate the remainder when 5 is divided by -2 + (-4)\/((-12)\/v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20827 - 63118\/3. Let v = 215 + n. Which is greater: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -740, -1469, -2136, -2693, -3092, -3285?\nAnswer: -3224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -828*m**3*y**3 - 146*m**3*y**2 + 4*m**3 + 2*y**4 + 3 wrt y.\nAnswer: -4968*m**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10*(-1 + 121). Let d = a - -84. Factor d - 68 + 37 - 5*u**2.\nAnswer: -5*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (-1*sqrt(100))\/sqrt(5))\/(sqrt(50)\/sqrt(125)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011765 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -47, -12, -5, 2 in increasing order.\nAnswer: -47, -12, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/41123509 or -1?\nAnswer: 5\/41123509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193393 + -193393.5. Let l = 8 + -12. Let r = 3 + l. Put r, -4\/3, p, 3\/7 in descending order.\nAnswer: 3\/7, p, r, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (180\/(-50))\/((-6)\/(-80)). Let b = x - -40. Let p(v) = 24*v**2 + 2*v + 15. Is p(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11*1 + 23 + -27. Let c(z) = f*z + 2 - 8 + 7. What is c(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let k = -5 - -5. Suppose k*p = -4*p. Let y(z) = -4*z + 0 + p - 3*z. Give c(y(b)).\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.67059 months in decades?\nAnswer: 1.53058825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2046, -2534, -3050, -3600, -4190, -4826, -5514?\n\"Answer: -s**3 - 8*s**2 - 457*s - 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 2, y: 1, w: 1, d: 1, e: 1}. What is prob of picking 1 w, 1 e, 1 y, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 1, -2, 3, -1 in ascending order.\nAnswer: -2, -1, 1, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 151*s - 3. Let w be x(1). Suppose -4*c + c + w = 5*g, c = 1. Solve g = 4*j + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -16900.48 to the nearest ten.\nAnswer: -16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711169000?\nAnswer: 2, 5, 17, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22521 - 544?\nAnswer: -23265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 68*h = 378 + 234 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b - 24*b**3 - 20*b + 44*b**2 - 8 + 0 + 12 = 0.\nAnswer: 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8677.\nAnswer: 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16*d - 17. Let g = 10 + -16. Let i be ((160\/g)\/5)\/(4\/(-6)). What is the hundreds digit of z(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-3 + 1)*-1. Let u be (-4 - (-5)\/l) + 2. What is the closest to -1\/3 in -3\/5, u, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**6\/720 + 5*z**4\/6 - 23*z. Let v(g) be the third derivative of c(g). Calculate v(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((4 - 5 - 2) + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 1)*(1 - 2 + 2) + 2 - 4 + 3 - 3 + 2 + 0)*(-6*b**3 + 18*b**3 - b**2 - 13*b**3).\nAnswer: 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*p - 7*p**2 - 23*p)*(190*p - 32*p + 120*p)*(-7 + 6 + 3) + 1 - 2*p**3 - 1 as k + v*p + r*p**2 + o*p**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*(3\/(-24))\/(21\/(-504)*-6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105399 divided by -15057.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d**2 - 7*d + 2. Let n(u) = u. Let r(l) = -g(l) - 6*n(l). List the prime factors of r(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3*k + 4*w, -k - 4*w - 14 = -4*k - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 194, 201, 118, -85, -438, -971?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*u = -12, -56*q = -47*q + 4*u + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 6) in base 2?\nAnswer: 1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 - 78. Let y(m) = -12*m. Determine y(t(p)).\nAnswer: 36*p**2 + 936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:32 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in millimeters?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77477 is divided by 15459.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-12))\/((-1)\/(-2)). Let c(b) = 5*b**3 + 5*b + 0*b - 1 - 3*b - 2*b**2. What are the prime factors of c(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-12)*-1)\/((-12)\/(-72)). Suppose u + d*k = 510, 30*u + 2*k = 27*u + 1595. List the prime factors of u.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289951 divided by -2?\nAnswer: -289951\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13157 is divided by 3009?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = 8*o + 2*x - 5*x, -5*x + 23 - 7 = o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3930, -3837, -3744?\nAnswer: -3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a + 1. Let n(x) = x**2 - 41*x - 1. Let y(v) = 6*c(v) + n(v). Give y(11).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360920956?\nAnswer: 2, 11, 2791, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q - 16*q = -51 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (316\/(-42) - 1170\/(-1365))\/(8\/24)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 128342\nAnswer: -1\/64171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 5*o - 11*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 8*t**2 + 5*t - 13. Calculate u(-7).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 2860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*n + 2*j - j, 5*j = -10. Let y(p) = 13*p**2 + p + 3. Let s be y(n). List the prime factors of 4\/(-8)*4 + s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + -22 + 26 + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 - 306 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 18\nAnswer: -13\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -0.2. Let u = -1887.938 + 1890. Let y = u + -0.062. Which is the closest to w? (a) 0.1 (b) 0.02 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12060 and 12960?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 3. Let y be l(5). What is the smallest common multiple of 10 and ((-3)\/(-2))\/(y\/(-24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41650 and 183260?\nAnswer: 916300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/120 - 9*j**4\/16 + 7*j**3\/3 + 20*j**2 - 4. Determine p so that i(p) = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11218578 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k. Let w(v) = -67*v**2 - 9*v + 8. Let o(y) = 66*y**2 + 11*y - 10. Let g(q) = -4*o(q) - 5*w(q). Determine g(f(u)).\nAnswer: 1136*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 1. Let i be t(1). Suppose -i*g - 4 = -5*g. Let o = 6 + 8. Calculate the least common multiple of o and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*a - 126985 - 18460. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.65 + -0.65. What is the closest to 2\/3 in 0.2, -0.5, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 88. Give y(15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 757*o*v**3 + 101*o - 4*v**3 - 29 wrt v?\nAnswer: 2271*o*v**2 - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4207544 by -4.\nAnswer: 1051886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 59*j - 341*j**3 + 342*j**3 - 76 + 58*j to u + c*j + t*j**2 + h*j**3 and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2*k = -30, 83 = 5*w - 3*k + 113 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 3:08 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1872 and 1040.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 361487.79 milliseconds in hours?\nAnswer: 0.100413275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59465366, 59465359, 59465348, 59465333, 59465314, 59465291?\n\"Answer: -2*c**2 - c + 59465369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(58\/(-210) - 23\/(-161)). Let q = 13.9 - 14. Which is the nearest to q? (a) 0.4 (b) k (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3091916 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027932199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 + 5*q**2 - 7*q + 5. Let u(s) = -2*s**3 + 2*s**2 - 4*s + 2. Let b(h) = 5*u(h) - 2*v(h). What is the second derivative of b(x) wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -51 - -60 - (-42660 + 0).\nAnswer: 3, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55530 divided by -30?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 12*k + 6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07303 from -117380.\nAnswer: -117380.07303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from xnnoknrno?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 2101?\nAnswer: 20ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -699.26*0.3.\nAnswer: -209.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u - 19 = -691. Calculate the remainder when 1214 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 1\/3 (c) -4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*2\/(((-4)\/6)\/(395\/(-237)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3084*l - 30040. Let z be i(-10). Let q be 1 - (2 - 1)*-31. Calculate the greatest common divisor of z and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396)*-1 + sqrt(396) - sqrt(396))*1)\/sqrt(12))\/(5*(sqrt(3) + sqrt(432) + 1*sqrt(432) + sqrt(432) + sqrt(432) + sqrt(432))).\nAnswer: -sqrt(11)\/305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 720658155 divided by 177\nAnswer: 4071515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 1495 = -158. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - (-1 + 3) - -41 is divided by 96\/816 + 4260\/204.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**5 - 71*z**3 + 39*z**2 wrt z?\nAnswer: 60*z**2 - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l - 30*l + 11*l.\nAnswer: -41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b = 3*b + 162 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 76*p**2 + 201*p + 1526. Give r(-74).\nAnswer: -2396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 69.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1953 - -3585. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipiuqp. What is prob of picking 1 i, 1 u, and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2955, -2975, -2995, -3015, -3035?\nAnswer: -3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 30 - 10 = 0. Suppose x*f = 5*l - 5, -2*f + 0*l = -3*l + 7. Let m = 82.4 - 82. Which is the third biggest value? (a) m (b) -0.1 (c) -0.3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -35. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 105\/13642?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 2}. What is prob of sequence uvu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(0 + (-1)\/(-9)). Let o = 18 - u. Suppose f - 3 = 0, 2*v - 5*f = -3*f + 4. What is the remainder when o is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*875\/(-7) + -5. Let p = h + -115. Let g(c) = -c + 13. Let d be g(9). Solve 19 = -p*v + d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)\/z)**(-2\/9))**(2\/15) assuming z is positive.\nAnswer: z**(4\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-3*y**4 + 3*y**4 - 2*y**4) + 21*y**4 - y**4 + 13*y**4 + (2 - y - 2)*(-4 + y**3 + 4).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15162?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 15*w + 20. Suppose v - 2*q = q, w*q - 2 = v. Let p(y) = -2*y - v*y + 4*y + 2*y. Let n(x) = 3*x. Calculate n(p(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -181*x + 54. Determine g(-9).\nAnswer: 1683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1) + 3 + 1\/1. Suppose u + v*u = -60. Let g(d) = d**3 + 16*d**2 + 7*d - 22. What is the tens digit of g(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12250 divided by -13?\nAnswer: -12250\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2449 - 2452, -2*z = 5*m - 22833. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 - 8*w + 2. Let f be m(-4). Solve 4\/7*h + 0 - 2\/7*h**f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 2:53 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*m - 20, x - 3*x + 16 = 4*m. What is the greatest common divisor of m and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 6 + (-13)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 270 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(2*c**2 + c**2 - c**2) - 2*c**2 + 0*c**2 + 1 + 0*c**2)*(-15 + 15 + 4*c).\nAnswer: -24*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let u(g) = -584*g - 2. Determine w(u(j)).\nAnswer: 341056*j**2 + 2336*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, -9, -20, -35, -54, -77?\n\"Answer: -2*u**2 - u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 58054?\nAnswer: 174162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2450 = -142*b - 3725 - 2105 for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -95534.\nAnswer: -95542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*f**2*i**2*y - 2*f**2*i**2 + 17*f**2*i - 9*f**2*y - 2*f**2 + 47*i**2*y - 3*i*y - 2*y - 3 wrt i?\nAnswer: -126*f**2*y - 4*f**2 + 94*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 10*y - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 405.3 + -203.1. What is g rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65080 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21 + -287.94627040653.\nAnswer: -288.15627040653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (7 + 3 + -9) - (-23 + 23).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4681*c**3 - 2337*c**3 - 2339*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 47*y + 210 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 268335*p + 29038500.\nAnswer: -5*(p - 108)*(p + 53775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -314041400 (base 5) in base 7?\nAnswer: -14115322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10115*f**2*h*x + f**2*h - 2*f*h - 2*f*x - 292*h*x + 15 wrt f?\nAnswer: -20230*h*x + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303 + 40244?\nAnswer: 41102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.58*-4972\nAnswer: 7855.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 461, 739, 1099, 1577, 2209, 3031?\nAnswer: 4079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -0.04 (b) 3\/2 (c) -0.1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 14) to base 12.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**3\/2 + 4*z. Let d(h) be the second derivative of h**3\/6 - h. What is d(f(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1509 and 7370459?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 54*b**2 + 203*b - 38. Is 77 a factor of i(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0, 3449.12 in increasing order.\nAnswer: 0, 1\/2, 3449.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.9.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 8*q - 3*q. Let i = -181 - -181. Let h be (-3)\/(-12) + 1\/(-4). Which is the closest to h? (a) i (b) 6\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*r**2 + 552576*r + 51820832.\nAnswer: -106*r + 552576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4987.537l to millilitres.\nAnswer: 4987537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -614.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p - 57 = 55 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34\/33 + -1193\/924. What is the common denominator of b and 89\/182?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u + 804 = 4*n, 4*u = -n + 201. Let l = n - 198. Calculate the smallest common multiple of 8 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - -7.3. Which is smaller: 0.2 or n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.8005 and 411.\nAnswer: 403.1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 12 - -3) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 345*g - 341*g - 5*v - 20, 8*v = -2*g - 74 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/6901 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 14*i - 16*i. Let w(n) = -5*n**3 + n**2 + n - 3. List the prime factors of w(i).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k + 20. Let z(x) = 5*x + 10. Let y(n) = -4*u(n) + 7*z(n). Let j(m) = m**3 - 3*m + 2. Let b be j(2). Suppose b*s - s = -15. Determine y(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85814 is divided by 2148?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.7283016997 - -3.7283. What is r rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vybrebqbbbyrebbbrrqb. What is prob of picking 1 e and 2 q?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)\/v)\/v**(-1\/5) assuming v is positive.\nAnswer: v**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1526010 + -30503017\/20. Let z = -864 + u. Calculate the common denominator of ((-2)\/5)\/(66*(-6)\/(-2385)) and z.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446960 less than -445230942?\nAnswer: -445677902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 5 (c) 2\/11 (d) 788\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = -1 - 3 + 52. Solve 2*p = -r*f - 16, 4*f + 31 = -4*p + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2472.3795 months to decades.\nAnswer: 20.6031625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 106838820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318912 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004665 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*u**3 + 2\/7 - 2\/7*u - 2\/7*u**2.\nAnswer: 2*(u - 1)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -23. Let y = s + 15. Solve -y*f - 2 = 4*x, 4*f + f = -x + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161 (base 11) to base 2.\nAnswer: 10111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5711*b**3 - 2*b + 2. Is d(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 7, r: 4}. Give prob of picking 2 r.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/4)\/(a**(-2\/15)\/a))**(-2\/3)\/((a*a**(-2)\/a*a)**(-2)\/((a*a**3)\/a**8)) assuming a is positive.\nAnswer: a**(-563\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(80)*2.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + p = 5*p - 12, 15 = -3*n + 5*p. Suppose 5*t + 3*y + 12 = 0, -4*t = -0*y + y + 4. Let t*z**2 + 4*z**3 + n*z**2 - 2*z**3 = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (50 + 117 + -198).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 12:25 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfffkfffffff. Give prob of sequence ffff.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136485946?\nAnswer: 2, 101, 181, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, 5, -2\/111?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*z - 6. Let s(g) = g - 3. Let c be s(z). Does 3 divide (c\/(-6))\/((-2)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 241\/2169 + 7*(-46)\/(-18). Solve -21 = h*p + 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 27*a**2 + 26*a + 54. Let o be q(-26). Suppose -3*s + 18 = -o. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 1, 2, -296, -10 in descending order.\nAnswer: 90, 2, 1, -10, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-15))\/((-4)\/18). Suppose -o - 11 = -5*s, -s - o - 5 = -r*s. Differentiate -3 - 5*b**4 - s*b**4 + 0 + 5 with respect to b.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5, -2\/3, -210, -4 in descending order.\nAnswer: 5, 0.5, -2\/3, -4, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -237 + 287. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -597\/7 - -1173\/14. Put 5, 0.3, q, 1.2 in descending order.\nAnswer: 5, 1.2, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m*m**(-15)\/m)\/(m**(-13)*m**(-6)*m) assuming m is positive.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10611 is divided by 10573.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2 + 2)*(-q**4 - 4*q + 4*q) + q**3 - q**3 + 3*q**5 + 6*q**5 - 4*q**5 + 8*q**5.\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 270.8 - 272.377. Let u = q + 2.57. What is u rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 + -0.56. Let i = -67\/85 + 10\/17. Which is the smallest value? (a) i (b) -0.04 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from qezvzvg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -23\/2 (b) 28\/13 (c) 2\/7 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 34, 0 = -2*r - l + 2*l - 30 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 234\/(-195)*700\/(-36)*(-2037)\/(-485)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 7, -2, 0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*v + 4 = -43*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -142 + 117 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35112 by 133.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 4\/9, -0.1, -1.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**5\/5 - 116*m**4 - 2876*m**3\/5 + 62788*m**2\/5 - 159408*m\/5 + 20016 = 0.\nAnswer: -139, -15, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11113.\nAnswer: 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*x**2 + 5 - 25*x**2 - x**3 + 61*x**2 in the form w + h*x + s*x**2 + f*x**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/15*795\/(-424)*-1*4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813082033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 73101604 * 0.5\nAnswer: 36550802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1505*p - 38*p**4 - 1 + 2836*p**5 + 38*p**4 - 1842*p wrt p.\nAnswer: 56720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2124 + -2123. Calculate the smallest common multiple of s and 903.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 223640.8g?\nAnswer: 223640800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - o + 1 - 3, -5*d - 2*o + 1 = 0. Let f = 4423 + -4422.8. Let c be ((-6)\/3)\/(-2) - -1. Sort f, c, d, 5\/6.\nAnswer: d, f, 5\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11549 (b) 0.2 (c) -25\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3677, 28261, 94991, 224939, 439177, 758777, 1204811?\nAnswer: 1798351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354006484 divided by 52?\nAnswer: 6807817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 2*f - 23, 2*f = 36*s - 32*s - 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let j(f) = f + 1. Give g(m) + 2*j(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 2*g - 2, 0*w + 3*w - 5*g = 31 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1458)*-1*1)*-3*-2)**2 + 5.\nAnswer: 1944*sqrt(2) + 52529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/3304 and 145\/83544.\nAnswer: 584808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**5\/3 + 338*t**4 + 10376*t**3 - 7281242*t**2\/3 - 127348792*t + 64279848 = 0. What is t?\nAnswer: -138, -61, 1\/2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 9*g**4\/4 - 357*g**3 + 1217*g - 2. What is the second derivative of u(d) wrt d?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 - 17 = 5*q, 3*q + 15 = 0. Let a = 39 - 21. Calculate the least common multiple of z and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(704) - ((sqrt(704) - (-4*sqrt(704) + -1))**2 - sqrt(704))) + -2)*-1.\nAnswer: 64*sqrt(11) + 17601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 15, o: 4}. What is prob of picking 3 o and 1 l?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4*o + 8784, 5*w - 6*w = 4*o - 2201. Calculate the greatest common factor of w and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1738 times 0.0018\nAnswer: 0.00031284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -28*g + 25*g - 6, -5*h = 3*g + 15. Which is the nearest to h? (a) -2\/9 (b) -0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -195 - -195. Suppose 20 = -5*b + 4*a, m = 13*b - 12*b - a + 4. Sort b, 5, 3 in ascending order.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 + 33\/12. Suppose z + 30 = 5*b, -i*z = -6*b + b + 30. Let j(l) = 10*l + 244. Let g(f) = -8*f - 204. Let u(n) = -6*g(n) - 5*j(n). Determine u(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*m, a = m - 6*m + 8. Suppose 1 = m*g - 9. Let n(k) be the third derivative of -k**5\/60 + k**4\/6 - k**3 + 2*k**2. Determine n(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/1564835 and 43\/293563046.\nAnswer: 1467815230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 97. Let p = b + -7. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**3\/6 - 2*n**2 - 6*n. Let a be i(4). Suppose 3*g = 4*g - 2*z - 64, -3*g - 5*z + 214 = a. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 6*f + 5. Let i be m(-6). Let y(z) = -z**2 + 7*z - 1. Let v be y(i). Find the third derivative of -14*t + 14*t - 8*t**2 - v*t**5 wrt t.\nAnswer: -540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 3, 0.006028 in descending order.\nAnswer: 3, 2, 0.006028, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 7. Let j be i(3). Let d be ((-128)\/2)\/(-1) + j. Factor -3 - d*x + 114*x - 58*x - 3*x**2.\nAnswer: -3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36657501 or 36657500?\nAnswer: 36657500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.04576us to milliseconds.\nAnswer: 0.01304576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -10. Calculate the greatest common factor of 63 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 - 83986788*f + 167973564 = 0.\nAnswer: 2, 27995594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4411 is divided by 626?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eui when three letters picked without replacement from eiuxewueee?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -18*q + 27, -3*x - 63 + 111 = 2*q + 75 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 981*z + 402 wrt z.\nAnswer: 981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 8*v**2 - 9*v - 8. Let p be (-21)\/12*4\/(3\/3). List the prime factors of y(p).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950\/585 - (-25)\/(-15)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113434933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 246 - 1601. Let u = 489 + w. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 2. Calculate the common denominator of (140\/(-21) + 7)*306\/(-4) and i\/2 - (-3)\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*o**2*x**2 + o**2*x - 66*o*x**2 + 1463*x**2 - x with respect to o.\nAnswer: 32*o*x**2 + 2*o*x - 66*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*f**2 - 332*f**2 - f + 0*f + 1 - 438*f**2.\nAnswer: -619*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) -4\/13 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -926, -2076, -3674, -5714, -8190?\nAnswer: -11096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 8.3, 2\/15.\nAnswer: -4\/7, 2\/15, 8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 7*p**2\/2 - 8*p + 3. Is w(7) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15052234 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: Simplify ((sqrt(605) + 0 + sqrt(605))*2 - sqrt(605))**2.\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 12, 5.\nAnswer: -4, -3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 9 + 11. Let q = -769.5 + 769. Which is the closest to q? (a) p (b) -2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26222065 to the nearest integer?\nAnswer: 5121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 4. Suppose 2*n + 5 + 3 = 4*l, 5*l = 2*n + 12. Let b(q) = -5*q + 9. Suppose 0 = 2*m - 3*m - 9. Give l*b(g) + m*j(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 2. Let m(h) = -9*h + 21. Determine 4*m(o) + 42*w(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = d - 5*o + 111, -3*o - 92 = 2*d for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 63\/(((-2)\/(-6))\/1). Suppose 4*x - 19 = -v + 34, -z = -5*v - x. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p + 2*i + 20402, -5*p = 2*i - 33998. What is p rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/21 (c) -57 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-2)*(-1918)\/1233*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1775, 8101, 18655, 33443, 52471?\n\"Answer: c**3 + 2108*c**2 - 5*c - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -6 (c) 2 (d) -0.58 (e) -0.1 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13424?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101165440 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2572*j**3 + 22*j**2 + 13*j + 2. Let u(c) = -2573*c**3 + 23*c**2 + 17*c - 1. Let v(l) = -5*i(l) + 4*u(l). What is the third derivative of v(o) wrt o?\nAnswer: 15408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3967124 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3401719341 to the power of 1\/3, to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.3 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 164809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (13\/52)\/(5\/(-5 - -25))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*f + 36, 0 = 2*g - 3*f - 16 - 7. Suppose 3*k - 148 = -g*p + 160, 12 = -3*k. Calculate the highest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27454 (base 8) in base 11?\nAnswer: 9089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -41 - (103 + (-28 - 151)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 337\/278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/5460903 and -37\/679.\nAnswer: 529707591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {m: 4, v: 4, a: 1, f: 1, j: 7, d: 2}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 + 100. Suppose -i*u - 353 = -6*u. List the prime factors of u.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/135 and 68\/915?\nAnswer: 8235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -8) + -12 + -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.86*0.055\nAnswer: -0.2123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -4. Let d(r) = -r - 1. Let q be d(m). Suppose -2*t + 0*x = x - 6, 0 = -q*x + 4. Solve -6*p = -t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - k + 3*k)*(-5 + 0 + 4) - 33363*k + 1644*k - 23998*k + 2528*k as r + m*k and give m.\nAnswer: -53190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:01 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 57 * -2.3\nAnswer: -131.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23794 - 13736. Let s = -5967 + z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1657 is divided by 97.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 3*z + 53 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 13.14. Let m = -0.64 - p. Which is the third biggest value? (a) -1\/6 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9905 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29512\/4 + (-1 - -3) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14074 and 248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70030 = 40*v + 69390 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 2*n - 8, -189*n + 16 = -i - 193*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7579*-0.1.\nAnswer: -0.07579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 + 2?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + -0.12. Let r = -3.17 + 3.47. Put w, -1, r in decreasing order.\nAnswer: r, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - b + 1. Let l be z(2). Let k = l + 34. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v + 0*v)*(2*v**2 - 2*v**2 + v**2)*(-6 - 18*v + 6)*(-6 + 3 - 2).\nAnswer: 180*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1763\/(-164))\/(-43)*116?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 1. Is -0.06 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35699, 35700, 35701, 35702, 35703, 35704?\n\"Answer: f + 35698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10*b**2 + 6*b - 57*b**3 - 13*b**2 - 3*b - 4*b. What are the prime factors of n(-2)?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*a**6 + 76*a**2 - 34*a**6 + 12*a**2 wrt a.\nAnswer: 8760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9864 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*p - n, 5*n = 9 - 4. Let r(h) = -h**3 - h**2. Let u be r(p). Let l(o) = -o**3 - o**2 + o + 7. What is the units digit of l(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4738560 and 620702.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*d = 100*d - 10, -d = 2*v - 18 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1 + 13)*2502\/973. What is the greatest common factor of 63 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0100605 + -0.01. What is f rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwvw when four letters picked without replacement from vvvvvvwwvvvvvvvwvv.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292446 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**4 + 7235*o**3 - 565324*o**2 = 0?\nAnswer: 0, 79, 7156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = 4*p - 17*p + 3*p - 2*u, 0 = -6*u + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47\/6678 + -1\/1113. Let q = a + -5\/18. Which is smaller: q or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -1\/4, 0.0327, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 75.7, -7\/2, -0.1, 5, -3\/4?\nAnswer: 75.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 182\/(-89544)*-246*12*2\/(-26)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b - 4. Let c be (-8)\/(-6)*(-4)\/8*-3. Let m = 0 + c. Let d be q(m). What is the greatest common factor of 108 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:48 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243*x - 487*x + 272*x - 6*x**2 + (-3*x - 3*x + 3*x)*(4*x + 2*x - x) to q + p*x**2 + n*x and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 11:52 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1993271 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3024)\/(-648))\/((-56)\/408)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.14887m to centimeters.\nAnswer: 8114.887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 25*k**2 + 16*k - 12. Let n(v) = -22*v**2 - 6*v + 4. Let w be n(1). Is 4 a factor of b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 + 152. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)\/s*(s*s**(1\/19))\/s*(s**(2\/7))**(-40))**(-42))**(-3\/11) assuming s is positive.\nAnswer: s**(-41598\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5, -36514 = -o - s - 4872. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39*(-29)\/(2680470\/(-60))\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/135*5\/(-2). Which is the nearest to 1\/2? (a) -5 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9081037 and -0.1?\nAnswer: 908103.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/23619 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 2\/3*w**3 + 0 - 1\/4*w**4 + 3*w**2 - 1\/120*w**6 - 7\/60*w**5 + 0*w. What is the units digit of c(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**3\/2 - 575*a**2\/2 - 585*a = 0.\nAnswer: -2, 0, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2513, -4814, -7115, -9416, -11717?\nAnswer: -14018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 126 (b) 2\/13 (c) -0.3 (d) -0.1 (e) -16 (f) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + 21\/6. Suppose -4*a + r - 136 = 0, 3*a + r + 166 = 57. Let v = -31 - a. Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 5, -3\/7, -1, -267?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(5) - sqrt(25)\/sqrt(5)) - (sqrt(45) - (sqrt(45) + 1))) - (-3*(2*sqrt(30))\/sqrt(6) + sqrt(720)*2 + -2)**2.\nAnswer: -1624 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 18 = -j, 2*j = w + 4 + 4. Let b = 5 - -3. Suppose -c + 16 = 3*c. Solve -3*f + b = c*k, -j*f + 6 = k + k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -765*r - 6. Is f(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = y - 3*k, 4*y = 9*y - 2*k - 81. Let j be (-6)\/y - 14\/(-10). Is -1\/59 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 1561.\nAnswer: -8, 4, 1561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 46545+0.122464735\nAnswer: 46545.122464735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a - 30*a = 225680. Calculate the greatest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -17 - ((2 - 1) + -1). Let s = 26 - q. Let r = -20 + s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9*m + 276. Calculate s(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6)**(-1\/43)\/(v**(2\/15))**(-6\/7))**32 assuming v is positive.\nAnswer: v**(-2336\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 11) to base 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -x - 237, w + 7*x - 4*x - 43 = 0. What is the highest common factor of w and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*h + 14969*h**2 - 14961*h**2 + 3*h + 1 in the form z + q*h**2 + j*h and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4977 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*h - 255. Let w be (-42)\/h - (-4)\/(-5). What is the closest to -4 in 1, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*c + 42 - 2, 2*r = -4*c + 20. Suppose r*q = 4305 - 355. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122034?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5\/9 - 248185*k**4\/9 + 1116883*k**3\/9 + 1240943*k**2\/9 - 3350609*k\/9 + 1240970\/9 = 0.\nAnswer: -124097, -2, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:49 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acycc. Give prob of sequence ccay.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5480.21*-0.3.\nAnswer: -1644.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 28806990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188 - -186. Let o = 0.3 + 0.2. What is the nearest to 2\/7 in 0, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f - 220 = a, -2*a + 428 = -2*f. Let g = f + 553. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*s*z - 44*s - 3*z + 238 wrt s?\nAnswer: -21*z - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Let h be ((-36)\/10)\/(2*(-4)\/240). Suppose s = -5*f + 92 + h. What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 44\/(-12))\/((-3590)\/(-225) + -16)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.180606 to 2 dps.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 457.506 rounded to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -15, 3\/4, -898?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 84 = 3*z - 2*s, 3*z = 4*s + 80. Suppose 0 = -0*o + 8*o + z. What is the tens digit of 27 + (2 - 2 - o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2730792.\nAnswer: 2, 3, 113783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((22 - 23) + (-1 - -1) - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25922596 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 4:54 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 49 (c) 16 (d) 0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3317*t**3 - 3*t - 11*t**2 - 6 + 6*t**2 + 3416*t**3 in the form c*t**3 + g*t**2 + a*t + u and give c.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3370 - 176*r + 37*r + 3341.\nAnswer: -139*r - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6\/5, 3\/4, -5, 2\/9 in descending order.\nAnswer: 6\/5, 3\/4, 2\/9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12389, 12461, 12581, 12749, 12965, 13229, 13541?\n\"Answer: 24*i**2 + 12365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50949164 is divided by 8491527.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11148.00332 and 0.8287?\nAnswer: 11147.17462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/12)\/(2 + 52\/(-24)). Suppose g - l*o - 4 = 0, 8 = 2*g - 0*o + 3*o. Solve 0 = 5*z - 2*k - g, k = 2*z - 7*z - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7*g + 6*g = 8820, 2*g + 2 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 2*l**2 + 5*l - 12. Determine n(6).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -103\/2. Let v = -7.7 + 8. What is the nearest to 1 in v, 1\/6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 - 101*y + 100*y - 17*y**3 + 4*y**2)*(0*y + 2*y + 2*y) in the form u*y + x*y**3 + t*y**2 + s + c*y**4 and give c.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 22. Sort 46, k, 2 in ascending order.\nAnswer: 2, k, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*s + 764*s + 128 = -4*r, 0 = -2*s + 5*r + 70 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -24 - 12. Let j = 71 + x. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(128))**2 + 2 + sqrt(27)\/sqrt(9).\nAnswer: sqrt(3) + 131\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5 - 32512*m**4\/9 + 150280*m**3\/3 - 948832*m**2\/9 - 1475584*m\/3 - 931840\/9 = 0.\nAnswer: -1820, -2, -2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 614591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g + 3*g + 3*g - 4*g. Let w(d) = 6*d + 5. Let i(a) = 7*a + 6. Let x be 1\/(1\/6)*-1. Let h(l) = x*w(l) + 5*i(l). Calculate h(n(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29051207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 2*s - 2. Give o(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3 (c) -225 (d) 0.03 (e) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -2507.\nAnswer: -32591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 18. Let x(l) = -4*l**2 + 4*l + 4*l**3 + 0*l**2 - 5 - q*l**3 + l**3. Let n(c) = 2*c**3 + 2*c**2 - 2*c - 1. Let j be n(-2). Give x(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -225, -3, 85, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 + c**4 - 6*c**4)*(3 + 2 - 4) - c**4 - 2 + 2.\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = -20. Suppose 4*g = a - g + 20, -g + 4 = m*a. Solve 5*z - 15 = 0, -5*z + 9 = -3*k - a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1415 take away 0?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/467, -0.4, 10\/9, -309?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 263802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 0*y + 4*y + (-4*y + y + y)*(4 - 6 - 1) + 0 + y + 0)*(9 + 1 - 2) as k + m*y and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -156*j**3 - 7*j**2 - 21*j - 545. What is the second derivative of y(g) wrt g?\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 2. Let i be q(2). Solve i*u + 0 + 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -135*b**2. Let z be f(1). Let v = 189 + z. Let c = v - 37. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 133 + 3752 = 3*j, 1238 = j + 5*f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18550 = -159*t + 122*t - 157*t - 156*t for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 5:31 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 7:35 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 16 = k - 11, -2*i = 5*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -242476 (base 8) in base 7?\nAnswer: -464514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7619)\/(-1178) - (-2)\/62) + -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6090616 and 42634312?\nAnswer: 42634312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-3*sqrt(84) - 1*(-1*sqrt(84) + sqrt(84)))\/(2*(4*(sqrt(120) - (sqrt(120)*2 + sqrt(120) - sqrt(120))) + sqrt(120) - sqrt(120))\/sqrt(10)))**2.\nAnswer: 1575\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/893700 and -151\/2562?\nAnswer: 381609900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000704923 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -23. What is the highest common divisor of 217 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -1625*y**7\/7 - 577*y**3\/3 + 2*y + 1036. Find the third derivative of w(x) wrt x.\nAnswer: -195000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153.52 + 0.08\nAnswer: 153.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -11*m - 16021070. Suppose 141610 = -3*i - m. Round i to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305682 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 1. Let x(u) = u**2 + 3*u. Let f be x(d). Let g(n) = -2 + 5 - n**3 + f*n - n. What is g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2900.24438 + 2900. What is g rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -28*b**2. Let q(f) = f. Let d(w) = w. Let n(a) = -d(a) + 2*q(a). Calculate n(t(s)).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8923374.\nAnswer: 2, 3, 73, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(567)*-2*3)\/(2*sqrt(1296) - (sqrt(9) + -5*-2*sqrt(9)))*4.\nAnswer: 5 + 288*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 5 (b) 0.009 (c) 0 (d) -164 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4 - 26057*t**3 - 468783*t**2 - 2109159*t = 0 for t.\nAnswer: -26039, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -10. Suppose 0 = -m*q + 10, 2*h = 5*h + q + 112. List the prime factors of 3\/(-2) - 5263\/h.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (596 + 384 + 2932 + 389)*(-4*n**4 + 5*n**4 + 6*n**4).\nAnswer: 30107*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**2 - 9*y**2 - 2*y + 3 + 24*y**2 + 5 to b*y + h + r*y**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 5334?\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f + 29*f - 1 + 1 to the form a*f + o and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 9:59 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 - 40*s**2 + 18*s - 55. Give f(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 926 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 394 - 2*y**3 - y**3 - 3*y**3.\nAnswer: -3*y**3 + 394","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.547243 and 3.\nAnswer: -1.641729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -37. Calculate the remainder when 6 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8948863 to the power of 1\/2, to the nearest integer?\nAnswer: 2991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.43 - 2.38. Is i at most as big as 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 25. Calculate w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 20*z**2 - 2732*z - 71430. Determine p(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 84*r**2 + 326*r - 3855. What is n(-88)?\nAnswer: -1567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5\/7 + 6*f**4\/7 + 81*f**3\/7 + 156*f**2\/7 + 12*f = 0. What is f?\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8788293 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -258 + 125. Let r = a + 231. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i + 5. Let x be 7\/(5 + 9\/(-2)). Let r = -19 + x. Let a(g) be the second derivative of g**3 + 2*g**2 - 2*g. Calculate r*o(f) + 6*a(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 10771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10563.16 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0576 - -11.8176. What is i rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = 33*y - 37*y. What is the remainder when y is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 99. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-120448)\/(-132385756384982)) - -1. Let x = 4396445155 + y. Let i = -3\/1882 + x. Calculate the common denominator of i and -25\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/10)\/((-27)\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22140 divided by -4428.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727*r + 5361 - 272 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*u - x + 60, u - 23 = 2*x. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b + 328 = -22*b. Sort b, -19, -1.\nAnswer: -19, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27066 + 0.20066. What is the second biggest value in -1\/4, p, 1, -1\/2, -1\/44?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c - 8. Suppose 0 = -5*p - 2*a + 8 - 5, 0 = -3*p + 4*a - 19. Put p, 5, c in descending order.\nAnswer: 5, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3501 - -26110. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -18 - (22 + -1)) + -3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 21*k**2 - 16*k**2 + 8*k**2 + 10*k**2. Let d(i) = -5*i. What is d(x(u))?\nAnswer: -115*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77325 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - 13*u**2 - 6*u**2 + 279*u - 279*u + 19*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 822*p**2 + 84048*p + 84872.\nAnswer: 2*(p - 206)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**3 - 86*d**2 + 11*d - 113. List the prime factors of j(31).\nAnswer: 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116512456 to the power of 1\/3, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -394, -430, -458, -478, -490, -494?\n\"Answer: 4*u**2 - 48*u - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108.4 + 108.4. Put b, -3\/8, 6 in descending order.\nAnswer: 6, b, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168891?\nAnswer: 3, 19, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -92, 5\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-23 - -12) - -7 - 28?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 14*g**2 - 22*g**2 + 1 + 24*g**2 as f*g**2 + o*g + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 5*m + m)*(2*m + 4*m - 5*m) - 31*m**2 - 45*m**2 + 29*m**2 as t + o*m**2 + z*m and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 + 512*j**3 - 9008*j**2 + 29760*j - 27648 = 0. Calculate j.\nAnswer: -144, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*j - 10*j - 124. What is the remainder when 89 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 2*n + 16. Let b(o) = -2*o + 10 - 6 + n + 6. Let w be b(8). Is -2\/3 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7338541973 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001111011 + 110110010?\nAnswer: -100011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/(-22)*(-11)\/(-924)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 4*v**3 + 4*v**3)*(-37 + 78 - 37 + 688*v).\nAnswer: 3440*v**4 + 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 - n - 1. Let u be g(-1). Suppose -v = -3*l + 6, -2*l - v + 4 = -3*v. What is the second derivative of 3*p**l + 6*p - u*p**2 - 8*p wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.3356 - 14.3. Round o to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/6 - 38*r**2 + 1416*r. Let f(d) = -d. Calculate f(h(a)).\nAnswer: 2*a**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184 divided by -7.\nAnswer: 1184\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 4. Let m be z(-4). Let l = -6.7 + 7. Which is the nearest to m? (a) -2 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*j = -1324 - 1197 - 242. What is the smallest common multiple of j and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668 - 7*y**2 - 15*y**2 - 15*y**2 + 25*y**2.\nAnswer: -12*y**2 + 668","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 211*v + 1880. Let o be b(-9). Put -21, 1, -5, o in ascending order.\nAnswer: -21, o, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*f**2*n**3 - 19036*f**2*n**2 + 13*f**2*n - 2*f*n**3 + 248059*f*n**2 + 7*f*n - n**3 - 2*n**2 wrt f?\nAnswer: -62*n**3 - 38072*n**2 + 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.28 - -0.68. What is the second biggest value in -0.4, v, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 33*a**2 + 92*a + 63. Let n be r(-30). Suppose -2*w - 5*v = -182, w - n*v = -7*v + 88. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a - 6. Suppose 3*i + i - 3 = z, 4*z + 2*i + 12 = 0. Let n(x) = -8 + x + 4*x + 2. Let s(w) = z*n(w) + 2*c(w). Give s(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -m - 4*b, 3291*b - 36 = 3*m + 3295*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 107 = 4*h, 3*h - 65 = 3*r + 16. Suppose 30 = w - h. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y - y - 2*y + (0 + 0 - 2)*(0 - 2*y + 0) + 0*y + y + y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172892 and 56?\nAnswer: 2420488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 2 + 9 - 4 + 5 to the form p + g*s and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 839*f**5 + 22*f**2 + 4 wrt f?\nAnswer: 50340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/13, 5, -2\/3, -9\/8, -2\/15?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 3*d + 2. Let w be f(3). Suppose 2*n + w = 3*j, 34 = 2*j + 2*j + n. What is the second derivative of -j + 3*k**2 + 3*k + 8 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 12:53 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19845 and -4?\nAnswer: 79380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8080441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11441 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3 = 3*c. Let y = 19 + -16. Suppose 0*o = -k + o + 10, -49 = -4*k + o. What is the nearest to 0.1 in y, c, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148963 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/144)\/(15\/(-117)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3753*i + 1898*i + 1888*i. Let a(p) be the second derivative of -p**4\/2 - 6*p. What is a(d(c))?\nAnswer: -6534*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -7. Suppose j + 2 = 27*s - 28*s, 10 = -2*s - 3*j. Calculate the greatest common divisor of s and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 0.6, 0.02, -1, -5, 29 in decreasing order.\nAnswer: 29, 0.6, 0.02, -1, -1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 33 - 9 = 0. Let f be (-2)\/u - 85\/(-20). Suppose f*d - 3*r - 29 = 2*d, -3*d - 4*r = -18. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -345, -782, -1395, -2184?\nAnswer: -3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536 times 0.045?\nAnswer: 69.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -12*q - 14. Let c be s(-3). Let i = c - 21. Let j = 6 - 5.8. What is the closest to i in j, -2\/3, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87851.8 litres in millilitres?\nAnswer: 87851800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3690838 and 25\/6?\nAnswer: 11072514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixzix. What is prob of picking 1 z and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 935\/4 + -230. What is the common denominator of -27\/10 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -3, 22, -2\/17, 10 in decreasing order.\nAnswer: 28, 22, 10, -2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144640.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -2*z. Let s be 5\/(-10)*-3*z. What is the greatest common divisor of s and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(8\/7)*v**(-2\/139) assuming v is positive.\nAnswer: v**(1098\/973)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32321010321 - 1?\nAnswer: -32321010322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 n when four letters picked without replacement from {l: 1, h: 3, p: 3, n: 10, v: 2}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12752568 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 2*y + 5*y**2 - 2*y**2. What is r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -22. Let r = 6 + -9. Let j be 2 + (-5)\/1 - 36\/(-14). Which is the fourth biggest value? (a) j (b) r (c) f (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(2\/19)*(i\/(i\/((i\/((i\/(i*(i\/i**(-11))\/i))\/i))\/i*i)*i))\/i assuming i is positive.\nAnswer: i**(226\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 4*c**4 - 8*c**3 + 4*c**5 + 1 + 4*c**2 + 4*c**2 + 4*c.\nAnswer: 4*(c - 1)**3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -55, 1, 3388.2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77 - 76 - (6 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - g)*(-4*g**2 + g**2 + g**2) + 2*g**3 - 2*g**3 - 2*g**3 - 4*g**3 + 3*g**3 + 0*g**3 + 4*g**3 - g**3 + 147*g - 142*g.\nAnswer: 4*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**3 + 6*w - 6. Let i(f) = -9*f**3 - 13*f + 13. Give 13*a(t) + 6*i(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.753 rounded to zero dps?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/3 in -4, -9, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gru when three letters picked without replacement from grgggggggugggggug?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -1, 2 in decreasing order.\nAnswer: 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5811441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855248 is divided by 7557?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/708436 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 4*v**2 + 3*v. Let h be p(-3). Let s(w) = -w**3 + h*w**2 - 7*w**2 + 2*w**3 - 4. Calculate s(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 40 = -5*q, -p - 8 = p. Suppose 0 = y + 3*w - 17, 2*y - w = 2*w - 2. Suppose 2*h - 86 = -4*r, -10 = 3*h - y*h. Solve r - q = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*f - 2, 10 = -2*f + 7*f - 5*q. Let v(c) = -3*c**3. Let m(r) = r**3. What is f*m(s) - v(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (4 + -9))\/(11 - 2). Suppose -5*d - 20 = 0, -4*y + 12 = -0*y - d. Suppose y*m - 4*m = -3*m. Put b, 1, m in ascending order.\nAnswer: m, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -348*n**5\/5 - 32*n**3\/3 - 2*n - 10. What is the third derivative of j(c) wrt c?\nAnswer: -8352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -241766\/2825 - -2157\/25. Do u and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -316 + 638. Let p = n + -321. What is the second smallest value in p, -4\/5, 2, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45714884, -91429771, -137144658, -182859545, -228574432?\nAnswer: -274289319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3984 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/40 - -3 - 2. Let n = i + -1\/5. Which is the third smallest value? (a) 4 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.30438 decades to months.\nAnswer: 9276.5256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 600, 4921, 16800, 40065, 78544, 136065, 216456, 323545?\n\"Answer: 638*y**3 - 49*y**2 + 2*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-49 - -60)) + -24\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9256456 and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 < -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -0*a. Suppose -5*u + 4*j + 17 = -6, -a*u = -3*j - 12. Find the second derivative of -s**3 + 0*s + 2*s**u + 3*s wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 14714*d**2 + 14707*d**2 + 14707*d**2 - 44127*d**2 + 3*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**5\/30 - 71*w**4\/3 - 283*w**3\/3 - 1080*w**2 + 2. Solve v(a) = 0 for a.\nAnswer: -283, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) 3 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3337, 6635, 9933, 13231, 16529, 19827?\n\"Answer: 3298*a + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 1\/2*u**5 + 0*u**4 + 0*u**3 - 7*u + 4 - u**2. Let y(b) be the first derivative of n(b). What is the derivative of y(o) wrt o?\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28520 - 2787 = 863*h + 30986 - 1883 for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/1)\/(5 - 6). Let w(j) = -5 + 3 - j - 2 + j**3 + j**2. Determine w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 6*l + 3. Suppose -94 + 100 = r. What is v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:37 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101202 + 21?\nAnswer: 101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*c - 62, -3*q + 62 - 15 = -c. Solve -8 = -q*u + 22*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174352307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7 take away 0.02599470763?\nAnswer: 7.67400529237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6 - -8) + 0)*1. Solve i*l + 23 - 17 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 57*o - 58. Determine n(-9).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2230, -2193, -2132, -2047?\n\"Answer: 12*k**2 + k - 2243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 270 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*r**3 - 378*r**3 - 134*r**3.\nAnswer: -543*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121202120 + 1212?\nAnswer: 1121211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*s - 27, 4 = 5*j + s - 17. Suppose 0 = -j*b, 4*a - 2*b = -b + 12. Suppose -4*r + 3 = -a*r. Solve -2*x = -r*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 25*v**2 - 57*v + 1. What is the tens digit of s(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-10))\/(3\/20). Let i be 9\/(-108)*q\/3. Which is the smallest value? (a) i (b) -2\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -555 + 567. Put b, -1, -2, -5 in increasing order.\nAnswer: -5, -2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1156, 1121, 1084, 1045, 1004?\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 110*p**3 + 2*p**2 + 5*p - 7. Let u be i(2). Let g = u + -331. What are the prime factors of g\/6 + 0 + (-2)\/(-3)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-672)*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1424995 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6656 = -585*l + 598*l. Is 1 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 65\/39)*11\/(-22).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -b - 7, -7*b - 5*w = -3*b - 37. What is the common denominator of 16\/77 and (b\/(-726)*-2)\/(15\/(-645))?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12965052143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 16*z - 11 = 0. Let i(k) = -6*k**3 + 2*k**2 - 2*k + 1. Calculate i(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.7536 - 1332540439\nAnswer: -1332540469.7536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 290, 571, 854, 1139?\n\"Answer: v**2 + 278*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(2 + 0)*-3. Let u = q + 17. Let a = 19 + u. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-455)\/(-52) + (-2)\/(-8). Suppose -h - 13 = -4*l, x = 4*h + 3*l - 34. Suppose 4*g + g = 100. What is the remainder when g is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let q = -1.1 + 2.1. Let v = 204\/13 - 3442\/221. Which is the closest to h? (a) q (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5738 or 5736?\nAnswer: 5736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 2049896.\nAnswer: 2049896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 73, 148, 239, 352, 493, 668?\n\"Answer: m**3 - m**2 + 61*m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13318 greater than 13319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12 - (-14001)\/1144 - 1\/(-8). What is the third smallest value in -6, r, 2, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*y - 7. Suppose -i = -y*i - 74. Let v = i + 120. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, x: 2, f: 4, p: 8, n: 4}. Give prob of sequence pp.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + (-4 + sqrt(468) + -1)*4)*-4)**2.\nAnswer: -233472*sqrt(13) + 2009344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + u + 3*u = -507, -j + u + 522 = 0. Is 31 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:36 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 69*j**2 - 174*j - 600.\nAnswer: 3*(j - 4)*(j + 2)*(j + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -245 (c) -8 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 97940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821077229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -29*s - 10. Let t(m) = 14*m + 6. Calculate -3*n(x) - 5*t(x).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1576*x - 1277*x - 6 + 254*x in the form d + a*x and give a.\nAnswer: -2599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1904)\/1666)\/(12\/(-7)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 60 = -23*o. What is the remainder when 123 is divided by (172\/6)\/((-5)\/(90\/o))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 37 = -40 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + c + (3 + 2 - 4)*(-26 - 14*c + 26))*(0*c + 0*c + 3*c**2).\nAnswer: -39*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145 + 4 + 53)*(16*q**5 - 30*q**5 + 8*q**5).\nAnswer: -1212*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11578 - -11794. Calculate the remainder when 838 is divided by o.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 5*w**2 + 5*w + 4. Let d be 3\/6*(-10 + 0). Let f = 3 + d. Let b = f - -8. What is p(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -227 + 238. Calculate the highest common divisor of k and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4201 + 4200. What is the nearest to 2\/7 in 1, 2\/17, 16, j?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 74075671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11081?\nAnswer: 7, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-196)\/30625)\/((-4)\/(-10)))\/(1\/5)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17135 * 7\nAnswer: 119945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10911 divided by -3\nAnswer: -3637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 2, -20, -0.38?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 3505. Let c(a) = -11*a - 20995. What is -6*c(l) - 34*q(l)?\nAnswer: -2*l + 6800","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 842578480 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 203351 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, 1, -3, 378 in increasing order.\nAnswer: -15, -3, 1, 2, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/(-10) - 2\/45*-9. Which is the second biggest value? (a) 0.3 (b) -13 (c) m (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**5 + 14*c**3 - 14*c**3 + (-2 + 2 - c)*(-5*c**4 + 3*c**4 + 0*c**4).\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 40 = 3*m. Suppose m*h - 4 = 1136. List the prime factors of h.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70)\/15*(6*51)\/(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b - 25. Let o(p) = -12*p + 88. Let n be o(7). Put n, b, 0 in descending order.\nAnswer: b, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2604*x**2 - 445822.\nAnswer: 5208*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = 0, -171*j - 132 = -174*j - 3*d. Calculate the remainder when 1077 is divided by j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6\/(-12)*-3*156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 15*i**4 + 2906090*i**3 - 36813155*i**2 - 53281870*i - 13562640 = 0.\nAnswer: -193752, -1, -1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 14. Suppose -15*p = 9*p + 168. Give d(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*v - 828 = -108*v. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, -0.1 in increasing order.\nAnswer: -0.4, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560 divided by -140.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*v)*(0*v - 349 - 6*v + 1155 + 4*v).\nAnswer: 4*v**2 - 1612*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.36651us in milliseconds?\nAnswer: 0.06536651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1209\/386 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15963.6 - -15964. Let p be (6 - 4)\/(-2 + 1). What is the closest to 1 in -1, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(1\/(-2)). Let c(l) be the third derivative of 661*l**5\/60 + l**4\/12 + l**3\/6 + 3*l**2 - 11. Let p be c(f). Round p to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3*v + 17, 4*v + 12 = -43*x + 47*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.001 + 0.299. Which is greater: -6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m + 1. Let x be l(0). Solve -3*g - 21 = 4*i, 3*g + x - 7 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24500\/6)\/((-2)\/(-192)). Suppose 6*v + j = -v. Round v to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 48382*q + 69584*q - q**2 + 71317*q.\nAnswer: q**2 + 92519*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 62*495\nAnswer: 30690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1167 and 8.492.\nAnswer: 0.9910164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*a - 7157 = -199*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 301, 324, 367, 436, 537?\n\"Answer: r**3 + 4*r**2 + 4*r + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270.7 + 271. Let o be (2\/((-16)\/12))\/(3\/(-4)). What is the closest to o in 12, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/16727 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*b + 233*a**2 - 31*a*b + a + 15*b + 141599 wrt a.\nAnswer: 2*a*b + 466*a - 31*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0 (c) -2\/17 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 + 12*d**2 + 420*d = 0.\nAnswer: -10, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16619841*-0.005\nAnswer: -83099.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -578\/9057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5015398\/31 - -161787. Suppose 0 = 5*x + 2*g + 27, -2*x - 6 = -2*g - 2*g. Which is the third smallest value? (a) -3 (b) x (c) p (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 25 = l. Suppose 2*h - 3*h = w - 1, 0 = -l*w + 2*h + 19. Suppose -2*d = i - 25, -3*d - w*i = 2*d - 65. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7669.239um to millimeters.\nAnswer: 7.669239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z**2 - 2*z + 1. Let o = 26 - 25. Let g be p(o). Solve -g = -4*m + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -44*j + 230. Let z be y(7). Is -78 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 6 + 2 + (3 - 64 - -21).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Let v be ((-10)\/u)\/(2\/(-4)). What is c in 10*c**v + 42*c**3 - 16*c**2 - 48*c**4 + 2*c + 8*c**5 + 2*c**3 = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-4\/13)*z*z)\/z)\/z**(4\/11)*(z**(-2\/83))**(-28) assuming z is positive.\nAnswer: z**(42951\/11869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1c666 (base 14) to base 8\nAnswer: -215642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13616?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {d: 2, i: 7, v: 5, j: 1, c: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/217 (b) 7 (c) -2\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/7)*x**(-2\/3)\/x*x)**(-2\/9) assuming x is positive.\nAnswer: x**(52\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + 0)) + 2)**2 + sqrt(80) + 3 + sqrt(80)*2.\nAnswer: 7 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/i**1)*i*i*i*i\/(i\/(i**(-2\/15)\/i)))**(-30)\/(i*i**6*i*i*i\/i**(3\/8)*(i**1)**(-1\/3)) assuming i is positive.\nAnswer: i**(-847\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 17*d + 8. Suppose -k + 0*k + 1 = 4*g, -3*k - 5*g = 18. What is u(k)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234222 - 234225 + 702674 - 8*z + 4*z - 234227.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34962200.\nAnswer: 2, 5, 7, 13, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/7 - (-4 + 12478\/(-7)). Calculate the greatest common divisor of 38 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*d*n**2*r - 6*d*n*r + d*r + n**2*r - 24*n*r - 4*r wrt d.\nAnswer: 38*n**2*r - 6*n*r + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.17 (b) -1\/3 (c) -39\/251 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 4:19 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1055 = -5*c, -2*j + 5*c + 206 + 251 = 0. Let d(r) = -r**2 + 5. Let o be d(0). Let v = o + 19. Calculate the highest common divisor of v and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0.9. Let t = -0.7 - -2.7. What is the closest to o in 4, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12898 divided by 471\nAnswer: -12898\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 710 and 7313.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484, -488, -492, -496, -500, -504?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/(-42))\/(-9)*-2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 65 - 8*n - 32.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*z - 8 = -1, 5*m - 13 = -2*z. Put -15, -2, 5, m, -3 in descending order.\nAnswer: 5, m, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7292 - -7291. Is d greater than or equal to 1\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 254*n - 256*n - 2*n**2 - 8*n**2 - 99*n**2 as s + u*n**2 + j*n and give u.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117656405.\nAnswer: 5, 17, 1384193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 38362818 and 1\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - (-1)\/2*8. Suppose 2*m + 2*j = 6*m - 38, 0 = 2*m + j - r. Suppose -70 = 6*u - m*u. Solve -2*n + 23 = 5*y, 6*n - n = -5*y + u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*y + 311*y - 97*y - 4*y**2 - 111*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2917582 to the nearest 10000.\nAnswer: 2920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20440 - 1?\nAnswer: -20441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j\/(j\/(j**(2\/7)\/j)))\/j)*j**(-3\/8)*j**5*j**(-1\/7)\/j)**(-1\/6) assuming j is positive.\nAnswer: j**(-97\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b = 133*b - 429 + 2265 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4025578, 8051151, 12076710, 16102249, 20127762?\nAnswer: 24153243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybiyyibbyibiyyy. Give prob of picking 1 y and 1 b.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3893.5 + 3894. Which is the smallest value? (a) -2 (b) 4.25 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185492.861 nanoseconds in weeks?\nAnswer: 0.0000000019601403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 0, 3*u - 177 = 2*b - 180 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 304 = 33*w. Which is smaller: w or -3\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*d + 2*b, 2*d - 4*b + 2*b = -4. Suppose 4*y - 13 = d. Let t be 4\/(46\/(-25) + 2). Solve 0*i - 3 = 3*i + y*g, -5*g = -2*i - t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 476*w**2*x**3 + 5*w**2 - 3*w*x**3 - 6*w*x + 71*w - x**3 + 2*x**2 - 5*x + 1 wrt x.\nAnswer: 2856*w**2*x - 18*w*x - 6*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 14. Let o = -27.59 + -1.31. Let b = o + g. Put b, -4\/5, 0.4 in increasing order.\nAnswer: -4\/5, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137665 - -137667. Find u such that -14\/11*u + 16\/11 - 2\/11*u**s = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-1 - (4 + 0)) + 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3323, 3287, 3251?\n\"Answer: -36*w + 3359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 26512104.388.\nAnswer: 26512104.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1790400 divided by -240?\nAnswer: 7460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvwvvnw. Give prob of sequence vwn.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 10:27 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10*d - 4. Let f(b) = -7*b - 3. Let u(j) = 5*a(j) - 7*f(j). Let q be (-99)\/12*8\/(-3). Let w(g) = -4 + 26*g - 3 - q*g. What is -5*u(i) - w(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4652 is divided by 86.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 54. Let a be g(-18). Suppose 4*u = -a*u. Solve u = 5*q - 5*y + 5, 5*y - 2 = 3*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 v when three letters picked without replacement from qqzqqvqzqvvqz?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 158832 and 61768.\nAnswer: 1111824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (11 - 26) + (12 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 7. Let s be t(7). Let j = 8 - 6. Suppose s + 2 = j*v. Solve 4 = c + v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 15*q**3 + 31*q**2 - 9*q - 29. Let h(o) = 7*o**3 + 15*o**2 - 5*o - 14. Let n(f) = 13*h(f) - 6*j(f). Calculate n(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 4*g - 3. Let a(k) = -2*k**2 - 5*k - 4. Suppose -5*x + 3*r = -40, 3*r - 7*r - 20 = 0. Determine x*q(j) - 4*a(j).\nAnswer: 3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 + -128.1. Let g = d - 7. Sort 4\/7, g, 0 in increasing order.\nAnswer: g, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 6*h**2 - 56*h**3.\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8822 + 8846. Suppose l + 3*g = -51, l + g = -4*g - 43. Calculate the common denominator of 89\/2 and 6\/((y\/l)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, j: 2, b: 1}. Give prob of sequence jjp.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 290\/((11\/(-3) + 3)\/1). Let t = -169865\/14 + 12125. What is the common denominator of t and (q\/(-66) - 3) + -3?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2.2. Let m = 2.9 - 3. Let k = 44 - 45. Which is the nearest to d? (a) 1\/6 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 + 2*z - 1. Let q(c) = -9*c + 52. Let l be q(6). Calculate k(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -83. Let c = -14 + r. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(4\/(-2)) + (-115333)\/(-82). Calculate the highest common divisor of q and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + 3*x**2 + 3*x**3 + 4*x**3 + (1 - 3*x**3 - 1)*(5 + 2 + 1) + x**3 + 2*x**2 - 2*x**2.\nAnswer: -16*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 52128 divided by 1625\nAnswer: 52128\/1625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.29.\nAnswer: -0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 26*l + 3. Is 15 a factor of g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w = -13*w + 55*w + 567 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/(-33))\/((-2)\/6). Let y = i + -7. Let n = -4 - y. Calculate the smallest common multiple of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 1690*c.\nAnswer: -5*c*(c - 338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -3)*20\/16 - (750\/135 - -6)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 3*l - 4 - 11, 3*a + 25 = -5*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*2*-5)**2 - sqrt(363))*-1.\nAnswer: -36300 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/120 - j**5\/15 + 7*j**4\/12 + 65*j**2. Does 17 divide m(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -50*r + 0 + 1 + 55*r. Suppose 0 = 2*a - 5*a + 6. What is the units digit of w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v**2 - 599 + 1149 - 548 - 35*v**2. Let z(d) = 58*d. Determine k(z(s)).\nAnswer: -77372*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -264 - -1852\/7. What is the second biggest value in 5, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91520461 divided by -4.\nAnswer: 91520461\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 8*a + 54. Let b be x(13). Let n(g) = 3*g**2 - 33*g**3 + b + 2*g + 12*g**3 - 285. Does 32 divide n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 73*i + 5. What is the tens digit of v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3277487 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 + 393890*l**2 - 19393469566*l - 19393863458 = 0. Calculate l.\nAnswer: -1, 98473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12211020 (base 3) to base 2.\nAnswer: -1000010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 520 - 163. Let b = 357.0000524 - d. What is b rounded to 6 dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 5*s + 2. Let v = -8 + 5. Let m be y(v). Solve 5*q + 3*t = -30, 2*q + m*t + 40 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (186\/(-217)*42\/531)\/(18\/9)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108831975?\nAnswer: 3, 5, 7, 23, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*a = -8*a - 12, 5*a + 2 = -4*y. Suppose -3*q = y*w + 17, -4*w - 4 = -2*q + 6. What is the third smallest value in q, 2\/47, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r - 42*r - 14*r - 38*r.\nAnswer: -62*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 6*g**2 + 7*g - 1. Let b be o(5). Suppose -b*v + 13 + 86 = 0. Let k(f) = -7*f**2 - 3*f + 6*f - v + 5 + 8*f**2. What is k(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/160 and -5\/632?\nAnswer: 12640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17719334762 - 224858358319013\/12690. Let x = j + 845\/54. Let w = 3\/47 + x. Sort -4, 1\/8, w in descending order.\nAnswer: w, 1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*m + 51, 0 = -2*t - 2*t - 12. Suppose -o - 2*l = -m, 3*l - 2*l + 72 = 4*o. Which is smaller: o or 18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 19.2. Let a = -12 + 11.5. Put p, a, -6 in decreasing order.\nAnswer: p, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -103*j**3 + 20*j**2 - 2342*j + 147703328 wrt j.\nAnswer: -309*j**2 + 40*j - 2342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 530*c - 11126. Let k be q(21). Let f be 6 - (0 - -2 - -1). Let a = 0 + f. Put a, -4, k, -5 in descending order.\nAnswer: k, a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-45)*27\/19080. Is k equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260211 (base 8) to base 3.\nAnswer: -11120210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 - 11*h - 15. Determine g(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5944\/7 - 850. What is the closest to 2 in n, 0.5, 2\/31, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13622 - 62055?\nAnswer: -106010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -6 - (-14 + (3 - 4)) - -19.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*g**3 + 118*g - 628*g**3 - 199*g**3.\nAnswer: -433*g**3 + 118*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222 - -32?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15*w**2. Let a(p) = 17*p. Calculate a(u(l)).\nAnswer: 255*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6661 is divided by 3183.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 55777.741 + -5\nAnswer: 55772.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 25*w**2 - 25*w + 12. Let z be a(26). Let q = -21 + -13. Let u = z + q. Solve 2*f = u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cacaccacac. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91998)\/(-2421) - (-725)\/(-19).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41321 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**8\/84 - 5*q**4\/24 - 3*q**2 - 9*q. Let r(c) be the first derivative of f(c). What is the second derivative of r(s) wrt s?\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1732*j**2*s**2 + 20*j*s**2 - 13*j*s wrt j.\nAnswer: 3464*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2892, 5693, 8458, 11187, 13880?\nAnswer: 16537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -29*y + 54 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -79 - 89. What is the remainder when 61 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 + -1) - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-824)\/(-132)*3. Is -23 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10412?\nAnswer: 2, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17705, -17688, -17659, -17612, -17541?\n\"Answer: z**3 + 10*z - 17716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -13*v**2 + 4*v - 4. Suppose -6*z - 186 = -210. Let c(j) = 14*j**2 - 5*j + 5. Calculate z*c(r) + 5*a(r).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Let c(s) = -s + 1 + s + s**3 + 3*s**o + 6*s + 4*s**2. Let t be c(-5). What is the highest common factor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-14))\/4*((-85)\/165*-55 + -31)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09672 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404*w - 72296 = 1136*w - 4896*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 28 + 1208*y + 75*y + 340*y + 12 + 5*y**2.\nAnswer: 5*y**2 + 1623*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10*g + 2. Let m(j) = 4*j + 1. Let x(y) = -k(y) + 4*m(y). Let s(i) = -i**3 - 2*i**2 + 5*i + 3. Let h = -6 - -3. Let u be s(h). Calculate x(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 3, 3\/13, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*y - m - 3 - 2 = 294*y, 8*y - 2*m = 15*y + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (-11 + 1 + 73)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 5*y + 14, -40 = 4*l + 33*y - 46*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 79*o - 1. Let a(h) = 4*h**2 - 118*h - 2. Determine 5*a(i) - 8*g(i).\nAnswer: -4*i**2 + 42*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57424 - -85432. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 3*j**3 + 9*j**3)*(-4 + 4 + 5*j)*(-5 + 1 + 0).\nAnswer: -220*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from nsqhhaatnaantth.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18343, 36680, 55017?\nAnswer: 73354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34947342 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9)*(-180)\/(-510).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, -1, -1\/7.\nAnswer: -1, -1\/7, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1039*y**2 + 3*y + 3. Is b(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -206\/646597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*i**2*u - 489*a*i - 88*i**2*u - 3*i**2 + 10*i*u + 2*u wrt i?\nAnswer: -4*a*u - 176*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + 2*h**5)*(3 + 0 - 4 - 1 - 1 + 4 + (5 - 5 + 1)*(3 - 2 + 0) - 1 + 2 - 3 + (2 + 1 - 5)*(5 + 6 - 2)).\nAnswer: -36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122 plus 741465.503?\nAnswer: 739343.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 8 = 10*a. What is the closest to 1 in -3, a, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -126*w**2 - 1. Let a(y) = y**2 + 8*y + 4. Let u(q) = q**2 + 10*q + 5. Let r(c) = 5*a(c) - 4*u(c). Determine r(f(k)).\nAnswer: 15876*k**4 + 252*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70391, -70401, -70411?\nAnswer: -70421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.603.\nAnswer: -1.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/11238829 and -68\/4816641.\nAnswer: 33716487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -215? (a) 0.4 (b) -2\/9 (c) -0.027 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (0\/(-3) + 3))*(-3500)\/(-278250)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 11:15 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 305*p + 567. What is g(-2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538406\/217 + (-10)\/7.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -4. Let x = -33 + 36. Suppose p = -2*p. Which is the nearest to p? (a) k (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -519*a**2 - 606*a**2 - 568*a**2 - 1569*a**2 as h + q*a + d*a**2 and give d.\nAnswer: -3262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-108)\/(-8)*4\/6. What are the prime factors of 45*(-5)\/((-75)\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**(-16)*f)\/f))\/(f\/(f\/(f**(-17\/5)*f)*f*f)))\/(f\/((((f*f\/f**(-15))\/f)\/f)\/f)*(f\/(f*f**(1\/8)))\/f*f) assuming f is positive.\nAnswer: f**(61\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 40\/12)*(-2)\/(-73). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 6. Let h be w(4). Suppose 6*s - 177 + 243 = 0. Let u(r) = 5*r**3 - 16*r**2 - 11*r. Let x(c) = c**3 - 3*c**2 - 2*c. What is h*u(k) + s*x(k)?\nAnswer: -k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25255 + -14661. Round i to the nearest one hundred.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 9*s**2 + 13*s - 7. Let y be b(-7). Solve y = 5*p + 2 - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0)*(-19)\/(-38)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -3)*320\/60. Let s be (-36)\/(-162) - (f\/9 + 0). Suppose -7*x + 10 = -s*x. Is 1 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 106068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2 - 7*i + 5. Let m(z) = 9*z**2 + 13*z - 9. Determine -11*h(c) - 6*m(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 128264.6 to the nearest 100.\nAnswer: 128300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -5*b**4\/12 + 8*b**2 - 11*b. Let n(a) be the first derivative of s(a). Let w(c) = -2*c. Determine w(n(l)).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 33*p**2 + 2*p - 2. Let q(f) = -f**3 + f**2. Let i = -17 - -16. Let a be q(i). What is the tens digit of c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106839744307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/3*-549*8\/300. Let i be (33\/110)\/((-6)\/(-64)). Determine o, given that 132\/5*o**2 + 6*o**5 - p*o**3 - 32\/5*o**4 - i + 8\/5*o = 0.\nAnswer: -2, -1\/3, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/8151042 and -55\/63.\nAnswer: 171171882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - w - 3. Let r be h(4). Let s = r - -16. Let g(z) = -2*z - 5. Let q(p) = -2*p - 4. What is s*q(i) + 6*g(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 273.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6559*j = 6560*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 20*h + 66 = 0. Let v(u) = 3*u**2 - 2*u + 1. Calculate the remainder when v(5) is divided by 2 + 5\/(-5) + h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -2*n**7\/105 - 13*n**6\/30 - 2*n**5 + 2*n**4\/3 + 80*n**3\/3 + 22*n**2 + 13. Factor d(g).\nAnswer: -4*(g - 1)*(g + 2)**2*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8741907 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 6*b = -s + 19, -3*s - 4*b = -24. Suppose -s*n = -5*n + 5. Solve -5*w = -3*l - 27, 5 = -n*w - 2*l - 3*l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 585 and 5135?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 6*s**2 - 165*s\/4 - 175\/2.\nAnswer: -(s + 5)**2*(s + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 1\/3*k**3 - 3\/2*k**2 + 5*k + 0. Differentiate c(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/10 (c) -3\/2 (d) -6061\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279526 is divided by 72?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -205, 136, -1 in decreasing order.\nAnswer: 136, -1, -3, -4, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*d + 12214 + 1533 = -3202*d + 3071 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 6*q + 5 + 6 + 3*q.\nAnswer: -q + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 801*t**3 + 0*t**2 - 5330*t - 808*t**3 + 5327*t.\nAnswer: -7*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5734277 is divided by 955710.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 52 - 2*a**3 + 2*a**2 + 4*a**3 - 51 + (0 - a + 0)*(-5*a**2 + 8*a**2 + 6*a**2).\nAnswer: -7*a**3 + 2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91689815 to the power of 1\/2, to the nearest integer?\nAnswer: 9575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -28. Put d, -5, 2\/5 in ascending order.\nAnswer: -5, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.22 in 5, 2\/39, 0.068, 2\/5, 1\/2?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -627, -756, -277, 810, 2505, 4808?\n\"Answer: 304*o**2 - 1041*o + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 29*f**2 + 37*f - 730. Calculate the remainder when 493 is divided by g(-31).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d**2 - d + 18. Suppose 0 = 14728*i - 29469*i + 14737*i + 840. What is the lowest common multiple of i and q(0)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.07 (b) -12.1 (c) 1\/5 (d) -2\/3631\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8451.724 tonnes in micrograms?\nAnswer: 8451724000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17388 and -1.\nAnswer: -17388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(233\/814 + ((-3920)\/176 - -22)) - 9.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28740, 5, -7 in descending order.\nAnswer: 28740, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56010165, 56010167, 56010169, 56010171?\nAnswer: 56010173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 3*m + 1. Let b be u(2). Suppose -3*c - 2*s = -0*c - 33, 4*s - 27 = -b*c. Let r = c + 6. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by -61.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cck when three letters picked without replacement from {c: 4, k: 2, q: 7}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 6*d**2 + 7*d - 7. Let w be m(5). Suppose -w*k = k - 20. Let a = 9 + k. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 19. Suppose -t + 25 = 4*a, v*t + 3*a - 4*a - 20 = 0. Solve t*s = -0*g - 2*g + 14, 0 = s - 4*g + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*d = -75*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4798135882 take away 0.2?\nAnswer: 2.2798135882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(880*o - 1493*o + 986*o).\nAnswer: 746*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 119203890 divided by -326586?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 808756049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 855078 and 1567643.\nAnswer: 9405858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**7\/3360 + j**6\/480 - j**4\/24 - 40*j**3\/3 - 4. Let g(a) be the third derivative of n(a). Find r such that g(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-2\/17)\/v*v*v)\/v)\/((v\/v**(3\/7))\/v))**(-11\/3) assuming v is positive.\nAnswer: v**(-3025\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let g(c) = 18*c + 2. Determine -g(d) - 5*j(d).\nAnswer: -13*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - l = 3*c - 191, 0 = -4*c + l + 160. Calculate the remainder when c is divided by (-26)\/(-91) - (-145)\/7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 44 = -27*l + 30*l, 3*l = -3*a - 39 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 + 1108668*k**2 + 102434270967*k + 1024231845870 = 0. What is k?\nAnswer: -184773, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-100)*(-15)\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34719 is divided by 560.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1926*c - 32392 = -2123*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 21 and -7.4319 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 165390, 330797, 496204?\n\"Answer: 165407*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:29 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 47. Calculate the least common multiple of f and 7 + ((-4)\/2)\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -4 - 2*v**2 + 0*v**3 - 1\/12*v**4 + 0*v. Let l(g) be the second derivative of s(g). Let w(z) = 7*z. Give l(w(h)).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 202*q - 204.\nAnswer: 2*(q - 102)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l - 190 = -61 + 121 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1994971 and 5803552.\nAnswer: 63839072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/2 + (552\/14)\/(4158\/4851)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.4223162 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245825*r**2*x**2*z - 373444*r**2*x*z + r*x**2*z + 2*x**2 + 1 wrt x?\nAnswer: 491650*r**2*z + 2*r*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*t + 325 - 4*t**2 - 160 - 164 + 3*t**2.\nAnswer: -t**2 + 167*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 590 and 450.\nAnswer: 265500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1645928831043*b - 1645928831043*b - 100*b**2.\nAnswer: -100*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(36)*-2 - sqrt(36)) + sqrt(36))\/sqrt(12)*-3)**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 414222*6\nAnswer: 2485332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 11*c**2 - 11*c - 11. Let d be y(12). Let w be (d\/(-10)*-4)\/((-1)\/(-10)). Solve -2*q - i + 15 = 0, 0 = w*q - 3*i + 8*i - 45 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/3, 21, 4, 1\/11, -9\/7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 461122831 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3, 2*f - 437 = 4*b - b. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2514 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 5\/3*x**4 - 6*x**5 + 7\/2*x**6 + 0 + 0*x**3 + 35\/6*x**7 - 32*x + 0*x**2. What is f in v(f) = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-51) + 303\/(-2142) and -59\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5401 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -281? (a) 0.3 (b) 0 (c) -2\/21 (d) -3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + -15 + 6)*(14\/(-4) - -4). Sort n, -4, -9, 0 in increasing order.\nAnswer: -9, -4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5238 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 19114\/1029?\nAnswer: 19114\/1029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 + 2*t - 6. Let p(d) = 2*d**2 + 5*d + 7. Let z = -14 - -11. Let c(m) = m**2 + 3*m + 4. Let j(r) = z*p(r) + 5*c(r). What is -b(q) + 6*j(q)?\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -153 + 152.9. Let i = 195 - 195.5. Put h, -2\/3, -5, i in ascending order.\nAnswer: -5, -2\/3, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87040\/(-352))\/8 - -32?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -200725? (a) -1 (b) -2 (c) -0.2 (d) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 6. Let f be m(-6). Let i be 6\/9*1*f. Let n(o) = o**2 + 26*o + 96. Let y be n(-22). What is the greatest common divisor of i and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let w(q) = -8*q + 202. Let g be w(25). Let h be (p\/4 - g) + 45\/10. Solve -c = h*l + 3*c - 17, -4*l = -c - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -2, -28 in descending order.\nAnswer: 4, 2, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:00 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -37*r**3 - 20*r**2 - 37*r + 35. Let k(o) = -13*o**3 - 7*o**2 - 13*o + 12. Let l(x) = 6*a(x) - 17*k(x). Calculate l(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119 by 1.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 12*j - 4*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 1, b: 4, l: 4}. Give prob of picking 1 x and 1 b.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 393967375 and 7750?\nAnswer: 3875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 37 = -3*j, 129916*j - 129912*j + 30 = -3*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43a (base 11) in base 4?\nAnswer: -20033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*sqrt(84)\/sqrt(2) + sqrt(2058) + 1*sqrt(2058)))\/(3*(-1*sqrt(42))\/sqrt(7)*-6).\nAnswer: -11*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7 - 1. Let l be (-1)\/(-3) + (-16)\/(-6). Suppose -2*q + 3*a + 37 = 3*q, 3*q - 5*a = 35. Solve n = q*r - l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -22. What is the units digit of g\/8 - 5752\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 26\/(-13) - -14. What is the greatest common factor of x and 7601?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**0)**(-3\/14)\/(z\/(z**(-7\/2)\/z)*z**3\/z) assuming z is positive.\nAnswer: z**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - -39) + (-5 - 37) - 66?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*f*s*z**2 - 49*f*s*z + 6*f*s - 16199*s*z**3 - 7*z**3 + 4200*z wrt z.\nAnswer: -52*f*s - 97194*s*z - 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -217931\/2 + 108976. Find h, given that -45\/4*h - 3\/4*h**2 - i = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**6*w\/(w\/w**(-10)))\/(w*w**(-1\/15)*w*w*w\/(w**0\/w*w*w)))**6 assuming w is positive.\nAnswer: w**(-538\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -16, -5, -4 in descending order.\nAnswer: 1\/4, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d + 2*a + 116 = -48*d, -5*d = -a - 133. Put 6, -7, d, -3 in ascending order.\nAnswer: -7, -3, 6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u - 22. Let o be z(9). Let c be (0 - 1)\/((-19)\/o). Solve i = c - 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/40)\/(1*2\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.052 rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:49 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 19*o**2 + 34*o**2 - 6*o**2 + 66*o**2 + o.\nAnswer: 113*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1823 - 465 = -104*h. Solve -4*n - h*n + 52 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1145, -3, 4, -5, 0 in ascending order.\nAnswer: -1145, -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r - 17 = -z, 53 = 4*z - 5*r. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 3 - (-3 + -5 - 13).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 433.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288 is divided by 779?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 8272*z**3\/3 + 2135*z + 4475. Differentiate t(w) with respect to w.\nAnswer: 16544*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 612220, 2448829, 5509852, 9795295, 15305164, 22039465, 29998204, 39181387?\n\"Answer: m**3 + 612201*m**2 - m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4939508, 4939523, 4939548, 4939583, 4939628?\n\"Answer: 5*m**2 + 4939503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 118 = u, -4*u - 12 = 8. Let b(g) be the second derivative of g**4\/12 - g**3\/2 + 2*g**2 - g. Calculate the remainder when q is divided by b(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 16*s + 16*s = 30, 21223*z - 5*s = 21225*z - 12 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 23 = 20, -3*j = -f - 52238. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -54, -2, -0.67?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -17*c**3 + 1106*c**2 - 71*c + 269. Determine v(65).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -1.111?\nAnswer: -1.111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3615243?\nAnswer: 3, 1205081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*t = 98 - 648 - 431 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*y - 32*y = 31*y + 4*s, 5*y - 3*s = -s - 48 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 512?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 376693710 divided by 2430282\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 21 - 3 = 3*m, 12 = 2*a - 2*m. Let d = -2 - a. Let j(w) = -3*w + 3. Let r(q) = -q - 1. Let u(i) = -j(i) + 4*r(i). What is u(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*d = -135*d + 2800. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/4 - 2520*r + 14186525\/4.\nAnswer: -5*(r - 955)*(r + 2971)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -123669 (base 10) to base 6\nAnswer: -2352313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((-4 - -8)\/(-1) + 5). Let n be g\/(-8) + (-9)\/(-20)*-1. What is the closest to n in -2, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*x + 158*x = 3850. Let j be -3*3\/(-36) + x\/56. Let z be (j\/(-35))\/((-2)\/20). Solve p = b + 4, 2 = -z*p - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6802 - -2?\nAnswer: 6804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 >= 51531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**5\/20 - m**4\/12 + m**3\/3 + 3*m. Factor s(z).\nAnswer: -z*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*b + 36, -b - 80*h + 90 = -75*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 p, and 1 k when three letters picked without replacement from pkqhf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 33708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3568410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 4, -1, 134 in descending order.\nAnswer: 134, 5, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Suppose 3*x = -x. Let m(h) = -4*h + x*h + 2*h + h. Determine m(a(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58\/391 or 1?\nAnswer: -58\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*d + 2*d + 2*l, 2*d - 22 = -2*l. Suppose 4*a - d = 7. Solve a = 2*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 6357770.\nAnswer: 6357770.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 6)*(7*a + 35*a + 2*a)*(-2*a + 0*a - 2*a).\nAnswer: -704*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1547*c + 1268*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1441020 - -30?\nAnswer: -1440440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403 divided by -8.\nAnswer: -403\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j - 9 = 0. Let m be (260 + (j - 1))*1. Suppose 2*p + b - m = 0, 3*b = -2*p - p + 387. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416\/(-65)*(0 - (5 - -55)) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/15115690 and 19\/280.\nAnswer: 423239320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**6\/60 + h**5\/2 - 19*h**4\/6 + 8*h**3 - h**2 - 1210*h. Factor z(p).\nAnswer: -2*(p - 12)*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**3 + 10*s**3 - 9*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-48))\/((-2)\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p - 2*p)*(33 - 3*p - 33) - 4*p**2 - 8*p**2 + 0*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95179.0004 + -95146. Let v = l + -33. Round v to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 290 = -0*i + 3*i + 263, 7 = -2*i + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5005\/39*18*57\/1881.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 1212*n**2 + 6094*n + 15. Give x(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**4\/3 - 10*n**3 + 68*n**2 + 8*n + 11. Factor k(a).\nAnswer: -4*(a - 2)*(a + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y**2 - 4*y - 3. Suppose -5*d = -0 + 10. Let t be j(d). Solve m = -c + t, -4*c + 3*m - 2*m = -19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*m + v + 2*v, -16 = -4*m + 4*v. Let j be 26*55\/(-44)*(-2)\/5. Differentiate j + 4 - 8 - m*h**4 with respect to h.\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*l - 105 + 38 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8678.4 - 8678. Let h = 2.04 - 0.04. What is the smallest value in n, -2\/15, h?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*(sqrt(189) + 1*sqrt(189)) - sqrt(189) - sqrt(189) - (-1*-2*sqrt(189) + sqrt(189)))\/(sqrt(3)*-1*-4 + -1*sqrt(108) + sqrt(108)))**2*-3.\nAnswer: -4725\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.78188 times -11.4?\nAnswer: 65.913432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 12. Suppose -6*n - 15 = -w. Sort n, 3, -13 in increasing order.\nAnswer: -13, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -312201?\nAnswer: 312200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 501795082449261 and 0.1.\nAnswer: 501795082449261.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386942619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 2*m - 3*m)*(-6*m - 7*m + 9*m)*(16 + 1 - 6)*(4 + 4 - 3) + (2*m - 2*m + 2*m**2)*(2 - 4 + 1) in the form d*m + a + f*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126.40540683 + -0.40545083. Let t = s + -126. What is t rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5, -4*z - 25*w + 239 = -30*w. Let m = z - 62. Solve 0 = -2*b - m*k + 18, -3*b + 2*b = -5*k + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119.56 - 114. Let k = 4 - p. Let y = -1.08 + k. Round y to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/330 + (-32 + 16)\/160?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Let s be -1 - (1 - 8\/5). Let c = -359 + 363. What is the nearest to s in c, 2\/7, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4 - 14*r**3 + 60*r**2 - 50*r - 125 = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110101000001001 - -101001?\nAnswer: 10101110101000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 20. Let n be y(-14). Find the common denominator of 298\/n*6\/(-9 + -9) and 77\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 5*v**3 - v**3)*(0 + 2 - 3)*(-1 + 2 + 7)*(2 - 1 + 1)*(1 + 0 - 3).\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247 - 242. Let b = -16 + -11. Let i = b + 53\/2. What is the nearest to o in 3, -2\/3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813 divided by 271?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 1516*m**2 - 1182*m**2 - 1189*m**2 + 5070*m**2 - 1184*m**2 + 2*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/7*j**3 - 128\/7*j - 80\/7*j**2 + 2\/7*j**4 + 0 = 0 for j.\nAnswer: -4, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4\/8 + 16869*i**3\/8 - 287427*i**2\/8 + 1201155*i\/8 - 116325 = 0.\nAnswer: -5640, 1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1656.845l to millilitres.\nAnswer: 1656845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 980160 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 0.1 (b) -8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 8*i**2 - 10*i - 7. Let f be h(9). Let m = f - -37. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38588.82 kilograms in milligrams?\nAnswer: 38588820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -15. Which is the nearest to 2\/9? (a) -4 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2. Let r(m) = 50*m. Give g(r(j)).\nAnswer: 7500*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = -15. Let k = 3038 - 3038. Solve -a*d = k, 3*q = 7*q - 3*d + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least as big as 0.0678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 2925475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -2)\/(-1 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14827 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyggyyyyygy.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/4 - (-981)\/326. Let w = k + 3417\/652. Is w smaller than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/(j**(-1\/41)*j))\/j)*j*j**(-6\/13) assuming j is positive.\nAnswer: j**(1340\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 5*f**2 + 7*f - 2. Let m be a(6). Suppose m*z - 44 = 184. Suppose -z - 435 = -4*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**3*q + 35*n**3 + 2*n + 629*q wrt n.\nAnswer: 30*n*q + 210*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q**2 - q + 1. What is h(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5 - 28*y**4 + 130*y**3 - 200*y**2.\nAnswer: 2*y**2*(y - 5)**2*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*b**2 - 12*b**3 + 24*b**2)*(2*b - 4*b + 3*b).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - k = -12, -37 = 17*v - 22*v + 4*k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/2 - 11*x**2\/2 - 8*x. What is the first derivative of p(h) wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 + 331. Let x = -199 + w. Suppose -4*z + 5*i + 26 = 0, -2*i + 6*i - 8 = -4*z. Solve c - 7 = r - x*c, -5*r - z*c - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5, 7\/12, 0.2, -0.23, -28.\nAnswer: -28, -0.23, 0.2, 2\/9, 7\/12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4 + 1. Let j be r*130\/4*-6. Suppose -j = 5*i - 8*i. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10833 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3419 divided by -263?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -1\/3 (b) 3 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 27*d**2 - d - 4. Let i = 15 + -8. Let g be c(i). Suppose g = 2*p - 4*r, r = 4*p - 1255 - 1348. What is p rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 2*p**2 + 5*p - 32. Determine m(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**3 - 3*h**2 + 16*h + 68. Let a be j(-4). What is the highest common divisor of 518 and a?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 1 - 3. Let i(c) = a + 2*c**2 - 4*c**2 + 5*c + 2*c**2 + c**2. Let l be 3*(14*((-6)\/(-12))\/(-1) - -6). Give i(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4394 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 16*o + 71. Let j be y(-19). Is j equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -356 - -1255. Let b = j + -289. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 + -0.34. Let y = 0.4 - 0.5. What is the closest to o in y, 0, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 516 and 1419?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t + 0*t + 6*t)*(5 - 2 - 1) - 2*t + 4 - 4)*(-3*t**2 + 3*t**2 - t**2).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 7*o**4\/4 - o**3 - 5*o**2\/2 + 6*o + 6. Let q be t(6). Let b = -2380 + q. What is b rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 6*z**2 - 8*z + 10. Calculate p(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 96*s - 37*s - 4*s**2 as v*s**2 + x*s + l and give x.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1560*o**3 + 1563*o**3 - 13 - 4*o**2 + 2 - 2 in the form w*o**2 + n*o + x + d*o**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 10:15 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 + 4*c**2 + 0*c**2)*(-c + 2*c - 3*c)*((-3 + 4 - 3)*(1 - 1 + 2) + 3 - 5 + 3 + 5 - 2 - 1) to the form d*c + o*c**2 + i*c**3 + y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -69*r - 10. Let y(d) = -68*d - 11. Let z(w) = 4*x(w) - 3*y(w). Let t be z(-5). Suppose 2*m - t = 145. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0 + 9 = 0. Let r(a) = 3 + 48*a - v - 2 - 19*a. Is r(2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*d - 7 + 49 = -84*d. Which is bigger: 10\/8971 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oleedesdkdle. Give prob of sequence oe.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7da5 (base 15) in base 9?\nAnswer: 40562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3))\/(52\/30). Let q be (0*(-2)\/(-4)*-1)\/(-1). Suppose q = 114*k - 121*k + 7. Is s not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.532 + 1.432. Sort j, -1.2, 3.\nAnswer: -1.2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1015 = 4*a - 1805. What are the prime factors of a?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 5*q)*(-14 - 13 + 0) - 28*q + 6*q - 10213 + 10213.\nAnswer: -130*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*k + 35680004, 2*k + 15*i = 10*i - 17840020. Round k to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 9*g - 282. Let m be 2\/(-10) - (-8)\/(-10). Let u be -1*(m*218 - 2). What is the greatest common divisor of u and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3271930441 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472 a factor of 379836800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*v - 1 + (1 - 6 + 3)*(4*v - v - 4*v) + (-1 + 2 + 2)*(50 + 10*v - 50) to the form w + k*v and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 4*p + 0*p + (-4 + 3 - 3)*(p - 1 + 1) - 2*p + 2*p - p in the form i + l*p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 1.4117041375043?\nAnswer: -0.9117041375043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2d (base 16) to base 13\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 10792265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.134*0.03.\nAnswer: 0.00402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7575827463881 and 0.4.\nAnswer: 7575827463881.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*j**3 - j**3 - 5*j**3 - 97*j**2 + 44*j**3 + 97*j**2 + (-j**2 + 2*j - 2*j)*(-2*j - 2*j + 5*j) to o + n*j**2 + c*j**3 + u*j and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/3 (b) -5 (c) -2\/9 (d) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-32 + 15)) + -4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53\/5363 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 57*v**2 + 21*v + 197. Is p(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 4093.6.\nAnswer: -368.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 311 = 6*h - 4*h, -4*h + v + 577 = 0. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(35)\/(sqrt(252)*1))**2 + sqrt(20)\/(sqrt(100)*2)).\nAnswer: -sqrt(5)\/10 - 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Suppose p + u*p - 287 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 11:01 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5951 + 0.019292.\nAnswer: -0.575808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7341568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 123 = -4*n. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) 0.03 (d) -421842 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11375859741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -494231, -493971, -493711?\n\"Answer: 260*r - 494491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**4 - 6*u**3 - 4*u**2 - 6*u + 6. Let s(k) = k**4 - k**3 - k + 1. Let h(r) = -d(r) + 6*s(r). What is the third derivative of h(o) wrt o?\nAnswer: 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -14.392179.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4302112 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 26*t + 7. Give i(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.8 - -19. Let m = q + 5.7999235. Round m to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407534497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 245, 4, -7, -5.\nAnswer: -7, -5, 4, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2\/2 + 2754*l + 5502 = 0.\nAnswer: -1834, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -118. Factor -12*b**4 - 4*b + 22*b**x + 24*b**2 + 30*b**4 - 48*b**3 - 12*b**5.\nAnswer: -4*b*(b - 1)**3*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 minutes before 9:36 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -27 - (-2 + (5 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -1\/40*b**5 + 0 - 5\/48*b**4 + 3*b**2 - 1\/6*b**3 + 0*b. Suppose l(y) = 0. Calculate y.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + 1. Let r = -8 + 4. Give p(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 != 284\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 6 = -k, -k - 5*g - 13 = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1084413 - 1084413 + 3*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/7 - (-11222)\/22806. What is the biggest value in 3\/2, 0.2, 1, -2\/3369, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/960 and -73\/50496.\nAnswer: 252480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1 - 2) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 1. Let p(h) = -3*h + 4*h + 0 - 1. Let f(i) = -4*p(i) + 3*y(i). Let d be f(-2). Solve 3*g = 4*g - d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 1529 + 814 + 781 = 16*k, 11 + 3 = 3*k - 2*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1321*h. Let n be y(-11). Let o = n - 319743\/22. What is the common denominator of o and 127\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xml when three letters picked without replacement from xmxlmmmmmmmxyc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find k such that 7*k**4 - 30844*k**3 + 8784*k**2 + 123376*k - 35248 = 0.\nAnswer: -2, 2\/7, 2, 4406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2615.\nAnswer: 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11908250 is divided by 2838.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18079751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001211001 + -11020121?\nAnswer: 220120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.5, 7, -108\/11, -5 in descending order.\nAnswer: 7, 0.5, 1\/7, -5, -108\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.38 - 1.62. Sort 0.3, -3\/8, v, 5 in descending order.\nAnswer: 5, 0.3, -3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - u**2 + 51. Let g be x(0). Let a = 53 - g. Solve 4*z = -a*c + 4, 0*z - 13 = -2*c + 5*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19241847?\nAnswer: 3, 47, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -7. Calculate the remainder when (-3487)\/(-55) - g\/(-10) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.209301?\nAnswer: 0.837204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 9*c**2 - 3*c - 7. Let n be f(7). Let i(w) = 27*w + 4. Let v be i(-3). Let l = v - n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/7 + 47*k**3 - 1005*k**2\/7 - 2993*k\/7 - 1660\/7 = 0 for k.\nAnswer: -332, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/7)\/j)\/(j*j**8))\/((j**(12\/11)\/j)\/(j\/j**(-4\/3))) assuming j is positive.\nAnswer: j**(-1660\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7359, -2, 2\/17, -6\/11 in ascending order.\nAnswer: -2, -6\/11, 2\/17, 1.7359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63873*g**5 + 2*g**3 - 5*g**2 + 616163*g + 9.\nAnswer: -1277460*g**3 + 12*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 5\/2*z**2 + 149\/12*z**4 + 0 - 11\/3*z**3 + 12*z. Find the second derivative of k(d) wrt d.\nAnswer: 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14605*s - 40400 wrt s?\nAnswer: 14605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2912 times 80.3\nAnswer: -233833.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 3:53 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 4*b**3 - 2*b**2 - 14*b**3 - 1 + 1 + 2*b**3 + (b + 0*b + 0*b)*(5*b - 5*b - 2*b**2) - 3 + 3 - 2*b**3.\nAnswer: -12*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1190 + 1188. Put -1.9, q, -3 in increasing order.\nAnswer: -3, q, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 25021?\nAnswer: -25033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129 + 36.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 62*c**2 + 7*c. Let t(l) = 40*l**2 - 28*l**2 - 33*l**2 - 2*l. Calculate 7*t(h) + 2*y(h).\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/(-35))\/((-16)\/(-100)*(-100)\/160)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 + 64\/6. Let w(f) = -f**2 + 13*f - 25. Let c be w(v). Is 44*((-164)\/(-16) - c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -201.57 + 202. What is b rounded to 2 dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1134*f. Let j(q) = 345*q - 1. Give i(j(w)).\nAnswer: 391230*w - 1134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 5:04 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 17*v - 2*s = -6, -v + s - 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 - 5*h - 46\/5.\nAnswer: -(h + 2)*(h + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5638*d + 1289 = -214540 - 184469 for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -43*t - 1321. Calculate u(-29).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*o**2 - 2*o + 7*o - 36*o**2)*(1 - 3*o - 1) as i*o**3 + g + k*o + l*o**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372 + 64 + 4*z - 2*z + 23.\nAnswer: 2*z - 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 5*b - 9. List the prime factors of b*-4 - (-109 - -13).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*o**2*w - 17*a*o*w**2 - 445*a + 19*o**2*w - 269*o*w**2 + 4*w**2 - 2*w + 5 with respect to a.\nAnswer: -3*o**2*w - 17*o*w**2 - 445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26390*m**2 - 5*m + 5*m + 171556*m**2.\nAnswer: 145166*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*l - 2, s + s = -4*l - 20. Does 9 divide (l*(-1)\/(-1) + -5)*-15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -474 - -473.6. Which is the nearest to 2\/5? (a) 7 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79191 + -79201. Let i = 0.1 + 0.3. Let h be -5*(18\/(-10) - -1). Put f, h, i in increasing order.\nAnswer: f, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-2) - (10 + 1). Let u be 2\/h - 4\/(-16). Suppose u = 3*b + s - 137 + 30, 3*b = -5*s + 103. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from uhphuhuuhhph.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.102 plus 2387983?\nAnswer: 2387982.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 19*q - 228. Suppose q*r - 8 = 8*r. Solve j = r*w + 3*w + 11, -2*j = -4*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhll when four letters picked without replacement from hlhlhhhh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, q: 2}. What is prob of picking 2 k?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 38*m = 0. What is the nearest to m in 1, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 - 346*v - 6645. Determine d(-15).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9206\/(-873) - -1*40\/(-90) - (-2 + -9).\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r + 7 + 35. What is the closest to -1\/8 in r, 0.3, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -54*q + 678. Let f(x) = 18*x - 247. Let p(l) = -11*f(l) - 4*o(l). Calculate p(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(931) - 1*sqrt(931)) + 4 + 5 - ((sqrt(931) - (sqrt(931) - (4 + sqrt(931) + -1))) + (-1 + sqrt(931))*-5)))**2.\nAnswer: 896*sqrt(19) + 238352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2038\/66 - 0) + 10 + -13. Let r = 82\/3 - n. Sort 1\/3, 7\/6, r in descending order.\nAnswer: 7\/6, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + c**2 + 42*c - 313. Let b be f(10). What is the highest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - 2*x + 2*x)*(-2*x**2 + 0*x**2 + 0*x**2) + (12*x + 5*x + 0*x)*(-6*x**2 - 3*x**2 + x**2) as k*x**3 + f*x**2 + a + r*x and give k.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.1. Let z(m) = -m**2 + 145*m + 3681. Let y be z(-22). Sort d, y, -2\/11.\nAnswer: d, -2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -22. Suppose -5*y + 2*f + 28 = 0, -j = -2*y - 0*f - 2*f. Suppose -y*a - a = -819. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9607*u - 8103*u + 33088 = 0 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -7, -9, 3, -1, -4.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58608, 234631, 527976, 938643?\nAnswer: 1466632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 75. Let f(n) = -n**2 - 9*n + 66. Calculate the remainder when l is divided by f(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15506 + -4102?\nAnswer: -22611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1234*j + 212. Let f be b(8). Round f to the nearest one hundred.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f. Let m be j(7). Let x be m\/15 + -2*1. Which is the second biggest value? (a) x (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -4*z + 32, 0 = 2*w - 20*z + 24*z - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(15\/(-13)) + 22\/(-33).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 911.\nAnswer: 22775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/26 and 115\/702?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127277 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.03, -11.8 in descending order.\nAnswer: 0.3, 0.03, -11.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 - -0.21. Suppose 8*l = 4*l + 28. Suppose -3*r = -z - l, -2*z + 3*r = 3*z + 11. What is the biggest value in m, z, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**3 + 328*t**2 + 6384*t - 14112 = 0.\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 218, 0.1, 27, -27\/4?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 2. Give j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.3, -37, -0.5, -0.9, 1\/3, 460?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444, -890, -1336, -1782, -2228?\nAnswer: -2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 51 (b) 1\/6 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 10:46 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624 divided by -26?\nAnswer: -812\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -71, -106, -141, -176?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 501160, 1002451, 1503742, 2005033, 2506324, 3007615?\nAnswer: 3508906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 10:43 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-75))\/((-2)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/((-49)\/(-245)) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 d, 1 t, and 1 l when four letters picked without replacement from {w: 1, d: 4, g: 4, t: 3, l: 1, m: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 2*i + 224 = 0. Suppose -t - 3*w = -2*t + i, 3*w + 102 = 3*t. Suppose 5*m + 3*s - t = 2*s, -2*m = 4*s - 14. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 172 + -30. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tllltlltllllllllllll. What is prob of picking 2 t?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01348096079 to 4 decimal places.\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 36 = -5*y - 37, -2*y + 14 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -782 + 786. Suppose 2*i = 5*z - 18955, k*z - 4*i - i = 15147. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*h - 17514, 3*h - 10526 = -0*c - 5*c. Calculate the lowest common multiple of h and 6.\nAnswer: 10506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6) + -1)*(-1451970)\/(-14892)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 - 8*h**2 - 3*h - 1. Suppose -x - 9 = f + 3, 2*f + 39 = -5*x. Let n be m(f). What is n rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**7\/280 + x**6\/480 - x**5\/80 - x**4\/96 + 25*x**2. Find j, given that c(j) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10591 and 6052.\nAnswer: 42364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -5, -3, 2, -1 in ascending order.\nAnswer: -47, -5, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/36 and 57\/898.\nAnswer: 16164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11936*r - 405830. Give w(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-49)\/(-4)) - (-23)\/28\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32453*s**2 + 142*s + 106.\nAnswer: -64906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6456 - -6461. Sort 0.4, 1\/5, -1, u, 741.\nAnswer: -1, 1\/5, 0.4, u, 741","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 91*p + 1363. Let i be r(-15). Which is the fifth biggest value? (a) -1 (b) 1.02 (c) 0.4 (d) i (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 - 1?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 652 + -616. Sort 4, z, 3.\nAnswer: 3, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, -1, 34, 1 in increasing order.\nAnswer: -1, 1, 34, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 11 = 4*u - g, 0 = 5*g + 20. Let t = -46 + 45. Let a be (98 - t)*(-4 + (-52)\/(-12)). What is the greatest common factor of a and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = -11. Suppose 19 = z*s + 4, 0 = -5*w - 3*s + 25. Solve 3*f - 4*a + 12 = w*f, 3*f - 2*a - 4 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+548.2\nAnswer: 547.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 83691333 to the power of 1\/2, to the nearest integer?\nAnswer: 9148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v**2 - 6*v - 4. Let x(s) = 4*s + 12 - 21*s**2 + 9*s - 3 - s. Let w(l) = 6*x(l) + 13*y(l). Find q, given that w(q) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*g**3 + 0*g - 108\/5*g**2 + 0 = 0. Calculate g.\nAnswer: 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 65073*l**2 - 1990*l + 1990. Let y(n) = 196*n**2 - 6*n + 6. Determine -3*h(g) + 995*y(g).\nAnswer: -199*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/1140 + 2*s**5\/285 + 5*s**4\/228 + 2*s**3\/57 - 4*s**2 - 4. Let v(d) = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*-46047426\nAnswer: -736758816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 11:03 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 761168559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m + 76. Let l be y(20). Let k be 5\/20 + 78\/l. Which is the nearest to 2\/3? (a) -1\/3 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6 + 8\/3. Let n = -2 + 23. Suppose -3*l + n = 4*l. Are l and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + -12)\/(15\/(-25))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, 14341, -0.3125?\nAnswer: 14341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(16\/7)*b)*(b**5*b)\/b)\/(b**(-6)\/(b\/(b**(-1)*b))) assuming b is positive.\nAnswer: b**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332, 529, 590, 509, 280, -103?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 987, 2201, 3905, 6105, 8807, 12017?\nAnswer: 15741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 102830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8393444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037179802 to 4 decimal places.\nAnswer: 0.0372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 8. Let k be b(-6). Let j be (k\/(-5))\/((-10)\/(-310815425)). Let n = 37865234 - j. What is n rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 2*w + 1. Let d be s(-3). Let q = d - 0. Calculate the smallest common multiple of q and (81\/3)\/((-51)\/(-34)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2)*2 + sqrt(16)\/sqrt(128).\nAnswer: -1 + 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 155*(-4 - 56\/(-10)). What is the derivative of 6*y**4 + n*y**2 - 248*y**2 - 4 wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.640612, -3, 2?\nAnswer: -0.640612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -16 + 32 + -13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -88131, -88376, -88621, -88866?\n\"Answer: -245*g - 87886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 7138*m - 114004. What is x(-16)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2522)\/(-97)*(-231)\/(-66)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 3\/8, -1\/15, 0, -1 in increasing order.\nAnswer: -5, -1, -1\/15, 0, 3\/8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -26. Let f be (-3)\/(-2)*i\/3. Suppose 2*h**4 - 3*h**5 + h**f - 2*h**4 = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15075, -14533, -14003, -13485, -12979, -12485, -12003?\n\"Answer: -6*f**2 + 560*f - 15629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 518 divided by 74\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 662767 and 165564?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88779?\nAnswer: 3, 101, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 166823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 37*v + 16. Give z(2).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1005 + 75. Let i = y - 907. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44971, -90024, -135077?\nAnswer: -180130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/10*(-1692)\/94?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaiiaiiaaiaia. Give prob of picking 4 i.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2617? (a) 0 (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.1599 times 0.07?\nAnswer: 40.751193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 + 10 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3 = -c, -440*c + 439*c + 3*q = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from iiiibiigiini?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56375*g**2*i**3 - 149*g**2*x**3 - 2*g*i**3 - 3*g*i**2*x**2 - 2*i**2*x**3 - 1026619*i**2 + 2 wrt g.\nAnswer: -112750*i**3 - 298*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -230031302 (base 4) to base 9\nAnswer: -305378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4898755 to the power of 1\/2, to the nearest integer?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 73*b + 1243893 = -75*b, 0 = -m - 2*b + 248781. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 87?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 485 and 483 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**35)**38*(y**(-2\/3)*y)**(-15\/7)*(y\/(y\/y**(-5\/2)))\/(y\/y**6*y) assuming y is positive.\nAnswer: y**(-37229\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 9*w - 9. Let s be u(-9). What is the common denominator of ((-4)\/s - -2)\/1 and 51\/11 + -7 + 5?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514\/257*((-1)\/(-2))\/(7\/(-7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/7*7\/(21\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9844)\/128 - (-1737)\/(-18528)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - -17)*(-2)\/6. Let j(b) = -2*b**2 - 17*b - 9. Let w be j(c). Let d be -5 + (w - (5 - 1841)). Round d to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.4 + -51. Let q = -2.6 + u. Let h = q + 70.9. What is h rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 371.49 (b) 0.3 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*o**2 - 27*o**2 - 2*o**2.\nAnswer: -65*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**3 + 6*r**2 + 4*r. Let a(d) be the second derivative of -9*d**5\/20 - d**4\/2 - 5*d**3\/6 + d. Let l(j) = -3*a(j) - 4*v(j). Factor l(f).\nAnswer: -f*(3*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = p, -5*r - 2 = 5*p - 4*p. Suppose p*o + 12*o + 60 = 0. Which is the third smallest value? (a) 6 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 3*n - 64. Let v(b) = -44*b + 4. Let u(d) = 34*d - 3. Let h(s) = n*u(s) - 3*v(s). Let w(k) = -8*k - 2 + 2. Calculate w(h(m)).\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5491969 and 3332.\nAnswer: 21967876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from {u: 4, a: 2, n: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2400710 divided by 36934?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**5\/4 - 25*f**4\/3 - 85*f**3\/6 + 95*f**2 - 97*f - 11. Factor h(i).\nAnswer: -5*(i - 1)*(i + 2)*(i + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 7*i**2 - 10*i - 4. Let n(b) = 1. Let q(s) = m(s) + 4*n(s). Let k = -36 - -28. What is the units digit of q(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4312.5017 rounded to 0 dps?\nAnswer: -4313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 956, 962, 956, 932, 884, 806, 692?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 6*z + 6 - 76 = -5*n, 8 = 5*z + n - 0*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014357894.\nAnswer: 2, 3, 11, 547, 28097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 6*o + 3. Let r be v(-6). Let d(m) = -3*m**2 + 5*m - 5. Let h(k) = k**2 - 2*k + 2. Let s(u) = 2*d(u) + 5*h(u). Give s(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*l + 60 = 0, 5*p + l = -0*l + 177. Let r = -22 + p. Is (-1 + 125)\/(r - 12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 30. What is the third smallest value in -0.1, c, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11494 and 387814?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 2*y + 5. Let f be q(3). Suppose 0 = 3*s + 3*d - 6, s + f*d = 2 + 2. Solve s = -4*g + 4, -p + 2*g = 3*p + 22 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-50)\/(-12))\/((-32)\/(-1728)*-18)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + 10 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 740 divided by -5.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by 165\nAnswer: 127\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61.1*-0.05.\nAnswer: 3.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1307228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 + 9*i - 5. Let x be g(8). Suppose 6*c - 3091 = x*c - m, 4*m - 1012 = -c. Let a = -479 + c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2091791 or 1?\nAnswer: -1\/2091791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61)\/(1281\/1008) - (-52)\/4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 88 + 143 = -5*g, -2*c + 10 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/4 - 11*j**3\/4 - 871*j**2\/4 + 12971*j\/4 - 6045\/2 = 0. What is j?\nAnswer: -31, 1, 15, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27857820.\nAnswer: 2, 3, 5, 101, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3374*c**3 - 2 + 1117*c**3 - 41*c**2 + 1119*c**3 + 1125*c**3.\nAnswer: -13*c**3 - 41*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 1 + (-13 - (2 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7132.54 meters in centimeters?\nAnswer: 713254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2487\/7 - 8\/28. Let p = y + -168. What is the greatest common factor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*(-54)\/16524*17.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*p = 20, 5*p - 13 = -3*t - 1. Suppose t*s - 6*s = -70. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-4) + 8 + 4. Let f(c) = c**2 - 4*c - 1. Let n be f(5). Let u = n + r. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**4\/3 - 548*r**3\/3 - 5976*r**2 + 57680*r\/3 - 39200\/3 = 0.\nAnswer: -70, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 340625.1 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -7*t**5\/60 - 2*t**2 - 73*t. Let c(s) = 8*s. Give k(c(o)).\nAnswer: -448*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44244734 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49.3 + 59. Let n = i - 10. Let q = -33 + 31. Which is the second biggest value? (a) q (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 48 - 6*o + o + 5*o**2 + 49*o.\nAnswer: 4*(o - 1)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3 - 84*j**3 - 3 + 81*j**3 - 2. Let v be g(3). Let d = -9 - v. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7367657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 5 - -7) + -5 + 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Let u = 0 - 5. Let l = -4.6 - u. Put w, l, 3\/2 in ascending order.\nAnswer: l, 3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68409, 136821, 205229, 273633?\nAnswer: 342033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91049844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -9858\/17129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yooooyooyo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 1037?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 6*s**2 + 58*s - 52*s + 1. Suppose 2*u + 7 = -1. Let x(m) = -m**2 - 3*m - 1. Let f be x(u). Let a(h) = -3*h**2 + 3*h. Determine f*a(k) + 2*j(k).\nAnswer: 3*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-4)\/7) - (782\/23 - 36). Let f = 0.05 - 0. Is m < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e8 (base 16) to base 9.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 9*c - 5*c - 44, -4*c = -2*v + 16. Let z = 36 + -2. Let h = z - v. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261504593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, -174, 3\/8 in ascending order.\nAnswer: -174, 3\/8, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8234 is divided by 3918.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v + 4. Let j = -2 - -2. Let s be z(j). Suppose 4 = -3*t + 4*c, s*t + 2*c - 28 = -c. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278 + 1283 + (2 + -41 - 0)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 0. Suppose 3*b - 1 = -2*p, -5*p + s*p = -b - 28. Let d = p - 3. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.97 - -0.16. Let a = r - 1.1. Let t = -0.53 + a. What is the nearest to 2\/3 in t, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/3)\/(2\/30). Let k(c) = c**2 + 9*c - 10. Let a be k(b). Suppose a = -3*y - 21 + 189. Is 28 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 + -0.04. Sort -3, 2, n in descending order.\nAnswer: 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*l + 316\/5*l**2 + 0 - 6241\/5*l**3.\nAnswer: -l*(79*l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 389849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6023626 is divided by 213.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 111 + 83. Calculate the remainder when 23 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 48 = 35. Is (62\/62)\/(d\/(-4258)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 16*b**3 - 2*b - 1. Let l(r) = 15*r**3 - 2*r. Let h(u) = -3*f(u) + 4*l(u). Let p be h(2). Differentiate 76 - 2*y**2 - 2*y**2 - p wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (14 - -6) - 3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**4\/90 - c**3\/9 - 2*c**2\/5 - 16*c. Factor r(f).\nAnswer: -2*(f + 2)*(f + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*b = -2*f - 7, 4*f = b. Let n be 16 - (0 - (1 + f)). Solve -4*q - 3*k + 2*k + n = 0, 29 = 5*q - k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 7. Let f be 8960\/(-1 - z\/(-15)). Round f to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + v**2 - v - 6. Suppose 5*t - 9 = 2*t. Let q be 64\/(-16) + (0 - 0). Let c be t\/q + 24\/32. What is l(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -40449*w**2. Let c(u) = 4*u**2. What is x(c(r))?\nAnswer: -647184*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*f**2 + 0*f**2 + f**2)*(-2757*f + 2111*f - 2636*f)*(-4*f + 3*f + 0*f) to j*f + v*f**4 + o*f**2 + a + r*f**3 and give v.\nAnswer: -29538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 8. Let g(a) = i + 5*a - 2 + 0*a - a**2 - a. Let c be g(4). Let v(x) = -x**2 + 5*x + 1. Calculate v(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 202293.6 millennia?\nAnswer: 2022936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -281, -572, -863?\n\"Answer: -291*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 13. Let h be (-1)\/(-2) + u\/2. Suppose i - h*q = -17, 4*i - 8 = -3*q + 19. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 51. Sort -1, 5, b in decreasing order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 t when four letters picked without replacement from tgtyyggxyqyyyygyygty?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*w + 1 - 19, 0 = 4*i. Let x(r) be the first derivative of -r**4\/4 - 2*r**3 - r**2\/2 + 2*r + 5. Give x(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19644.78 minutes?\nAnswer: 1178686.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) - 10*7\/315. Let k be (-2)\/(-5) + 1\/(-2). Which is the closest to s? (a) -0.8 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/3*(12 - 0). Let l be (-3)\/9 + y\/(-3). Let q(m) = -1865*m - 9323. Let o be q(-5). Solve 4*i - o*t + l = -1, -4*i + t = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14708655 to the power of 1\/2, to the nearest integer?\nAnswer: 3835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104659234 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = -5*q - 4, 0 = -u + 4. Put 5, q, -4 in increasing order.\nAnswer: -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0 (c) 79\/101692\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:48 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 10*r**2 + 9*r + 36. Calculate s(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 0.1 (c) -1\/9 (d) -9 (e) -61\/7 (f) -3 (g) 0.024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 10*x + 6. Suppose w = -5*y + 45, 5*y + 4*w = -w + 45. Let t be o(y). What is the remainder when (-5)\/t - (-3 + (-345)\/9) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, -2\/13, 5\/6.\nAnswer: -2\/13, 5\/6, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -835, -1669, -2501, -3331, -4159, -4985?\n\"Answer: f**2 - 837*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 3, -6, -4, 5415.\nAnswer: -59, -6, -4, 3, 5415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6822 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 11*g**2 + 10*g + 3. Let j be b(10). Let f be 0\/(j + 1*-4). Let a be -2*(f + (-441)\/6). Calculate the highest common factor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 9\/((-99)\/308)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5623*t - 14. Let s(g) = -4219*g + 10. Calculate -8*o(m) - 11*s(m).\nAnswer: 1425*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h + h - 6*h)*(3 + 0 - 2)*(-4*h**3 - h**3 + 2*h**3) - 17*h**4 + 20*h**4 - 10*h**4 + 3 to the form n + q*h**4 + b*h + l*h**2 + v*h**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, -189, -7, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56173, 56172, 56171, 56170, 56169, 56168?\n\"Answer: -t + 56174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.2359 millimeters in nanometers?\nAnswer: 127235900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -453.0203 rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 2*l + 6. Suppose 11*q - 6*q = 15. Let n be c(q). Let m be 26*4\/24*n. Solve -i = j, -5*i + 37 = -5*j - m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 110753806 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 p when three letters picked without replacement from iipiipip?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-2) + 5*(-17793)\/(-30).\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/7 - 76*k**2\/7 - 722*k\/7 - 92 = 0?\nAnswer: -7, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + 4 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cca when three letters picked without replacement from ucaaggzazggc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 + 257*j**2 + 1249*j + 20123119 wrt j.\nAnswer: 6*j**2 + 514*j + 1249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 3*a**2 - a + 5. Let x be k(3). Suppose -3*f + 26 - 9 = -i, 2*f - 4*i - 18 = 0. Factor 9*b**4 - x*b**2 - b**2 + 0*b**f - 6*b**5.\nAnswer: -3*b**2*(b - 1)**2*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 303000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 - 350. Let d = p + 205. Let l = -71 + 119. Calculate the remainder when l is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 762, 1502, 2240, 2976?\nAnswer: 3710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1432 = -5*r, -2*q - 10*r = -3*q + 358. What is the remainder when q is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*(-228)\/(-95).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/4473 and 55\/16898?\nAnswer: 152082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150017.\nAnswer: 7, 29, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -0.2 (c) 1\/7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -21, -5, -3, -4 in ascending order.\nAnswer: -21, -5, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.5 (b) -2\/11 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -1) + (-2083774)\/241584. Let v be 2 - 3 - (-2156)\/2157. Let c = v - j. What is the common denominator of c and 41\/26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.9 - -10.4. Let w = -58.3 + 50. Let h = -8 - w. Which is the smallest value? (a) h (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 18. Let m be s(-14). Let g(y) = -9*y + m*y + 0*y + 2. Let c be g(-2). Solve 2*d - 3 + 9 = c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1931975, 3863950, 5795925?\n\"Answer: 1931975*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 3. Let j be 9 - w\/(-4)*4. Suppose 275 = -2*u + j*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209*a**4 - 4*a**3 + 828145*a - 2.\nAnswer: 2508*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -49\/12*a**4 - 1\/6*a**3 + 8\/15*a**6 + 0*a**2 + 0 - 50*a + 0*a**5. Find the third derivative of k(m) wrt m.\nAnswer: 384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104837*y**6 - 9951*y**2?\nAnswer: 12580440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1096128 and 1\/16906944.\nAnswer: 557929152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*((sqrt(200) - (sqrt(200) - 1*sqrt(200)))*-3)**2.\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2*(-8 + 4). Suppose -s - b + 28 = 0, t*s + b + 3*b = 48. Suppose 5*u = 3*u + s. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*m - 33, -2*z = 3*m - 20 - 3. Let d(y) = y**2 - 6 - 97*y + 118*y + 26. Let v be d(-20). Solve m*i - 5*w + 5 = v, -i + 5*w - 3*w = -3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 10*j**2. Let i(o) = 3*o**2. Let u(s) = 7*i(s) - 2*q(s). Let n(p) = p + 0*p + 5*p. Give u(n(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 40*u. Suppose 524 - 504 = -4*l - 2*d, -4*d = 24. Let i(n) = -20*n. What is l*q(r) - 5*i(r)?\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149943893 and 15554?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 594063922*n\/3 - 88227985855505521\/3.\nAnswer: -(n + 297031961)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/30615332 and 11\/4?\nAnswer: 30615332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1291 - 1429 = -6*c - c - 29*j, 3 = 2*c + j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from coouocbochocf.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 0.2357?\nAnswer: 0.3357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.399468 to 3 dps.\nAnswer: -0.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -30. Suppose -a = a + 4*b + 6414, s = -5*a - 4*b - 16059. Let v = -6055 - a. What is v rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = w - 28. Let j be 2 + 1 - (-1 + -2). Suppose 0 = j*v - w*v - 8. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 4:46 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(0 - m + 0) + 0 + m + 0 - 2*m + 2*m + m + 5 - 5 + m - 1645*m + 1259*m + 781*m.\nAnswer: 399*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*c + 13*c**2 - 4*c**2 - 280*c - 7*c**2 to f*c + k*c**2 + j and give f.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-60))\/((-2)\/40). Let n = 461 - 649. What is the hundreds digit of (n\/u*16)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 23, 3\/2, 6, -3, -35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*2 + 4 + -2 + 2 + -5 + (sqrt(50)\/sqrt(20))\/(-3*sqrt(15)\/sqrt(3)).\nAnswer: -1 + 119*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 6) to base 4.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01857007 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 11780 to the nearest 100.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2729564 and 1532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/10 + 1\/(-2). Suppose 0 = 2*o + 2*d - g*d - 2, -o = -3*d - 1. Let i = 3 - 8. Sort 0, o, i in increasing order.\nAnswer: i, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x - 45. Calculate the remainder when 35 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2831 - 2765. What is the smallest common multiple of f and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/15 - 26*b\/15 + 8\/5.\nAnswer: 2*(b - 12)*(b - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -5*u - 31. What is the units digit of (-5)\/15 + u\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156 (base 7) to base 5.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:51 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 10*o**2 + 10*o - 6. What is the hundreds digit of k(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h + 15 = -z, 0 = 2*z. Suppose c - h*c = c. Suppose 2*d - d - w - 1933 = 0, c = 2*d - w - 3867. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*w + 140*w - 573*w + 4081 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (64 + -56) - 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 - 1 = 0. Let s = 0 + q. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5989, 5981, 5973, 5965?\n\"Answer: -8*r + 5997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -1\/6, -962\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2798018mg in kilograms?\nAnswer: 0.0000002798018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62751*a**2*c**2 + 2*a**2*c + 499*a**2 - a*c**2 - 659*a*c - 1077*a - 7*c**2 + 3 wrt a?\nAnswer: -125502*c**2 + 4*c + 998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 1 - 49 - -22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010640 (base 7) in base 16?\nAnswer: c9b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/((-3)\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - w. Let z(b) = -5*b**3 + 7*b**2 - 3*b + 85. Let a(j) = -3*i(j) + z(j). Differentiate a(u) wrt u.\nAnswer: -15*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823921459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029) - -2*sqrt(1029))\/((sqrt(81)\/sqrt(3))\/sqrt(9))*5.\nAnswer: 105*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m = 30*m + 2*x - 10, m + 2*x - 19 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1108 = -132. Let b = a - 25. What are the prime factors of b?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k + 1. Suppose 0 = 9*r - 10*r + 1. What is z(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*m + 1 + 5 - 18*m - 4 to the form k*m + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = -22. Let w(j) = -42*j + 5. Let c(u) = 21*u - 3. Let g(q) = 5*c(q) + 2*w(q). Let s be g(6). Calculate the greatest common divisor of s and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - 740030?\nAnswer: -740053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 8, 5, -187, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*f - 12. Let j be ((-252)\/(-24))\/(6\/f). Let t = 346 + j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 380. Let i = d - 185. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391933046 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3)**(-48)*n**(9\/2)*n*n\/(n\/n**(3\/16))*n)**(5\/12) assuming n is positive.\nAnswer: n**(-10985\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -6, -10, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.87 + 2.47. Let n = -12 - -14. Which is the nearest to n? (a) w (b) 1\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -47 (b) -0.2 (c) 5\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -480 + 479.98569. Round w to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3280, -7983, -12684, -17383?\nAnswer: -22080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 845\/102 - 292\/51. Let t = 315 - 551. What is the common denominator of -7 + t\/(-16) - 3\/1 and w?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 2, 7, -17736, -7, -1 in descending order.\nAnswer: 7, 5, 2, -1, -4, -7, -17736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 10061072?\nAnswer: 10061074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-30)*2874\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3 - 3 - x**2. Suppose 0 = r - 2*o, 0 = -4*r + 2*o + 3*o + 6. Let q(d) = r + d - 4. What is g(q(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5519.949 millimeters to centimeters.\nAnswer: 551.9949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + n = 206884, -n + 146000 - 21870 = 3*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 119 + (4\/(-10))\/((-2)\/5). What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -531, -534, -537, -540?\n\"Answer: -3*y - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*f - 2*f + 36445, -4*f = 3*c - 109270. Is (5 - 9)*c\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmzyxqomy. What is prob of picking 1 o and 2 x?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, 1 y, and 1 z when four letters picked without replacement from {y: 5, l: 1, z: 1, x: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24029598 is divided by 2184507.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 219 + 10\/((-60)\/(-6)).\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:59 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - sqrt(100)\/(sqrt(4)*-2)) + sqrt(25))\/sqrt(5).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 988\/(-78) - ((-12)\/36 + (-1)\/3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.9 + 8. Let g = 5.3 + 27.7. Let n = g + -33. What is the nearest to n in 4, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, v: 2, g: 8}. What is prob of picking 2 v?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10965 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: Suppose 406*a**2\/3 + 3244*a\/3 - 32\/3 = 0. Calculate a.\nAnswer: -8, 2\/203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Let x = 12 + -6. Suppose i = x - 3. Solve q - 8 = i*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 252409 - 252408.579868. Let g = v - 0.42. Round g to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 11*y - 8. Let o be i(2). Let v(q) = 5*q - 21. What are the prime factors of v(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 4. Let j(d) = -d - 6 - 2 - 10*d - v + d**2. Let k be j(12). Which is smaller: 2\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 40*h**2 - 2*h + 1. Let v be u(1). Let z = v + -23. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - -1b4?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*f + 95*f - 89*f + 251*f)*(0 - 1 + 2) + (0 + 0 - 1)*(21*f - 14*f - 10*f).\nAnswer: 357*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 16*j**2 - 3*j + 18. Suppose 0 = -26*m + 34*m + 128. Calculate the least common multiple of 18 and h(m).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -4, -2 in increasing order.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1300) + -4*((sqrt(1300) - (-2*sqrt(1300) + sqrt(1300))) + sqrt(1300)).\nAnswer: -110*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23511123*k + 6*k**3 - 9*k**3 + 47022251*k - 23511128*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j**3 + 22*j**2 - 8*j - 22. Let y(o) = -4*o**3 + 9*o**2 - 3*o - 9. Calculate 5*s(d) - 12*y(d).\nAnswer: -2*d**3 + 2*d**2 - 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -129, 6\/7, 0, -0.3, 0.5 in ascending order.\nAnswer: -129, -0.3, 0, 0.5, 6\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -33, -1430, -2, 1.\nAnswer: -1430, -33, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*u**3 + 2*h**2*u**2 - 47911*h**2 - 369*u**3 - u**2 - u + 173 wrt h.\nAnswer: 4*h*u**3 + 4*h*u**2 - 95822*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009139308 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1053)*1 - 5*(sqrt(1053) + -1)) + -5)**2 + -5 + (4*sqrt(1053)*2)**2 + (sqrt(1053) + 1 + sqrt(1053) + -5 + sqrt(1053))**2 + 4.\nAnswer: 72*sqrt(13) + 93748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32, -31, -30, -29?\n\"Answer: w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -27772 (c) 0.05 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7385168 and 1398?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 8*s + 5*s**3 + 8*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 50 (b) -3\/8 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 53 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, 4, -2, -48 in ascending order.\nAnswer: -48, -15, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.787 times -299.44?\nAnswer: 235.65928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 13540*w + 1367659. Calculate a(-101).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + g - 3. Let t be r(3). Let m = -5 - t. Let k = 1 + -1. Solve y = -4*b + 12, k = m*b - 4*y - 45 + 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157930402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50557 - -3?\nAnswer: -50554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 68, 103, 122, 119?\n\"Answer: -r**3 + r**2 + 49*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 776*l + 49 - 136 + 722*l + 40 + 44 as y + r*l and give r.\nAnswer: 1498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 301033 - 300639.793. Let k = i + -393. Let w = k - 0.007. Are 15 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6 - 1 + k + k - 4. Calculate x(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7510531.2 - -4?\nAnswer: 7510535.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 + 0*x + 3*x + 31*x + 21 wrt x?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21978453761.99999861 + 21978453874. Let k = -112 + m. Round k to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**3 - 3. Let k(a) = a**3 + 4*a**2 - a - 2. Let b be k(-4). Let c(v) = -7 + 0*v**2 + 7 + b*v**2. What is d(c(y))?\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhxhhchhxhxhxx. Give prob of sequence hc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/30)\/(20\/(-15) - -1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2. Let h(c) be the second derivative of -845*c**4\/12 + 587*c. Calculate t(h(y)).\nAnswer: 1428050*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/7 - 109916*v**2\/7 + 779375788*v\/7 - 330873318228\/7.\nAnswer: 4*(v - 13513)**2*(v - 453)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**4 - x - 1. Let i(u) = -3*u**4 - 8*u + 2. Let f(o) = -i(o) - 2*j(o). Find the second derivative of f(a) wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:39 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0*w**2 + 0*w**5 + 14\/3*w**4 + 0*w**3 + 1 - 37*w - 1\/14*w**7 + 1\/30*w**6. What is the third derivative of f(p) wrt p?\nAnswer: -180*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-143)\/(-429))\/((-8)\/360)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - 226. Let s = -243 - a. 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 f = 1895 - 1894. Let s = -7 + 12. Which is the fourth smallest value? (a) s (b) -0.04 (c) f (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342183.\nAnswer: 3, 167, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 327*g**4\/8 + 719*g**3\/2 - 26*g**2 - 19*g. Find the first derivative of a(w) wrt w.\nAnswer: 981","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5519 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, v: 11}. Give prob of sequence pv.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 278 + -277. Suppose 0 = y + 6 - p, 2*y = -i + 147. What are the prime factors of i?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + r)*(2 + 0 - 3) + (4 - 2*r - 4)*(1 + 0 + 0).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/4 - 2)*24\/10. Suppose 18 = a*d + 3*d. Find v such that -1\/2*v - 1\/2*v**d + 1\/2*v**3 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 18 = -6, n = -l + 6. Let i(w) = 2*w**2 - 28*w + 82. Let p be i(l). Solve p*g + 2 = -6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 116*q + 445 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*c - 210*c - p = 7, 0 = -4*c + 41*p + 53 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244865, 244849, 244831, 244811?\nAnswer: 244789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ae7 (base 15) in base 12?\nAnswer: -92a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*c = -0*c - 137, -3*c = -4*d + 105. Let r = -104 - -67. Let w = r + 145. What is the highest common factor of w and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -0.2, -2584, -21, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((830\/6)\/5)\/((-1)\/(31*36\/372))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 3*p**2 - p. Let g(x) = -8*x**5 + 190*x**4 - 474*x**3 + 200*x**2 + 86*x. Let q(o) = -g(o) - 2*l(o). Let q(w) = 0. What is w?\nAnswer: -1\/4, 0, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.1716 - 29804.3?\nAnswer: -29703.1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2385014 and 2?\nAnswer: 2385014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -756, 3, 1\/4, 4, -2\/47?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654 less than 3653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:37 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-351)\/45*(-170)\/884?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 13*n**2 + 13*n + 1. Let v be r(12). Suppose 2*o - 177 = v. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7725800514.\nAnswer: 2, 3, 1287633419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 - 61 = -3*u. Let l = u + -10. Calculate the greatest common divisor of 34 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -4)\/(0 + (-3)\/9). Let i(v) = 3*v**2 - 1. Let p be i(2). Suppose 0 = 5*d - p - 64. Solve 0 = l*t - 8*t - d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -44515, 6, 27, -2.\nAnswer: -44515, -2, -1, 6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -6. Let z = -0.01 - c. Let m = 0.08 + z. Which is bigger: 0.2 or m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(187) + sqrt(187)*1 - sqrt(187)))\/(sqrt(11) - ((sqrt(88)*-1 - sqrt(88)) + sqrt(88))\/sqrt(8)))**2 + -5 + 2*(sqrt(425)*1)**2.\nAnswer: 3397\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, l: 2}. What is prob of sequence lggg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**3 + 4*h**2 + 4*h + 1. Let t be x(-1). Suppose -l = -4*l + 9. Suppose 0 = -10*p - l + 23. Put p, 3, t in increasing order.\nAnswer: t, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -151.8 and -5?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5227442 times 2?\nAnswer: 10454884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x + x**3 + 87*x - 45*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + -34. Let d = -138.3 - -80.2. Let w = k - d. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1653473, 2 in decreasing order.\nAnswer: 1653473, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-1 + (3 + -1 - -3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, o: 3, q: 8}. What is prob of sequence ou?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-152)\/(-16))\/((-2)\/(-8)). Is z < 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v = 135*v + 37*v + 111*v - 10065 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*m**4 - 40*m**4 + m**2 + m**2 + (-3*m**2 + 4*m**2 - 2*m**2)*(m - m + 2*m**2).\nAnswer: -m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(38\/((-1862)\/21)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/(-212))\/((1 + 2)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*n**2\/7 - 1528*n\/7 + 600.\nAnswer: 2*(n - 150)*(5*n - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/24)\/((-713)\/(-14260)))\/(10\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 - 42*d - 88 + 2*d**3 + 48 + 33*d + 42 to q*d**3 + p*d**4 + x + c*d + w*d**2 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3\/2, -1, -2, -421, 5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -134785350 divided by 898569?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*0 + 2. Suppose -l - 2 = -c. Find the first derivative of -3 - 2*x**3 + c + 3*x**3 wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*n = 26*n + 19*n - 11772. Solve -65*f + n*f - 220 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.8583 millilitres in litres?\nAnswer: 0.6268583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*x**5\/5 + 281412*x**4\/5 + 51926*x**3 - 2256012*x**2 - 30735488*x\/5 + 2173248\/5 = 0.\nAnswer: -4851, -4, 2\/29, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2190, 4385, 6578, 8769, 10958?\n\"Answer: -b**2 + 2198*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -2) + 8 + -1 + 1 + 5 - -13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7016 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2)*1\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 5 + 5*l**3 + 8 + 1 - 2*l. Let i(h) = -9*h**3 - 7*h**2 + 4*h - 7. Let m(t) = -7*b(t) - 4*i(t). Find the second derivative of m(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.122722 to 3 decimal places.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3188 = -461*r + 523 + 2403 - 582. Let d = -9 - -83. What is the least common multiple of d and r?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/4 - ((-256)\/16 - 645754) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -25 + 1\/(-1)*-3. Let a = 31 + y. Solve 0 = 3*r + 3*s - a, -3*r + 2*s + 5 = 3*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962 is divided by 472.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7340*v + 7349*v + 4*p - 122 = 0, 4*v - 4*p + 96 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6721 equal to -6721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -20*u**3 - 2*u**2 - 5*u - 6. Suppose 4*q + 13 = -s, -2*q + 16 = -8*s + 4*s. What are the prime factors of n(q)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41.29034 and 4.\nAnswer: 165.16136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -2*(-3)\/(-6). Let c be i - (-2 + 3*-7). Solve 1 = -4*k + c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519595.\nAnswer: 5, 103919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 29*n + 13 + 10*n**2 + 11 - 5*n**3 + 0*n**3 + 9*n**2. Let l(u) = u**3 - 5*u**2 - 7*u - 6. Let o(h) = 2*f(h) + 9*l(h). What is o(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/1111 + 32339\/44440. Calculate the common denominator of m and 59\/100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 840 divide 103279680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiqiibhvhbehivvhqv. Give prob of picking 2 b.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let c be b(1). What is the derivative of 0 - 2*p**3 + 0 + c + 1 wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131\/44 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/55)*j**(-22) assuming j is positive.\nAnswer: j**(-1208\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*c**2 - 252*c**2 + 681*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -27. Let q(i) = i + 3. Let v be q(o). What is the third derivative of -11*l**2 + 0*l**v + 2*l**3 + l**2 + 10*l**3 wrt l?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*g - 0*g. Suppose 0*t = -2*t - 5*i - 9, 5*t - 27 = 4*i. Suppose t*v + 8 = v, -5*v - 30 = -5*n. Sort n, 3, g in decreasing order.\nAnswer: 3, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 5, r: 2}. What is prob of sequence dr?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1068 and -23\/15.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 12220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -3 (b) -29 (c) -11\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 + 3940*r**3 - 3930*r**2 - 3940*r + 3935 = 0.\nAnswer: -1, 1, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-1)\/(-12)*-4)*(-235)\/(-282).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8696*w**3 - 8*w**2 + 10*w + 12. Let f be d(-9). Let q = f - 4159890. What is q rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Let h(x) = x - 5. Let s be h(5). Suppose 8 = 2*k + q, -2*k + s*q + 12 = 3*q. Calculate the remainder when p is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -87\/830?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1968 and -103\/116480.\nAnswer: 14327040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((312\/10)\/26)\/(27\/(-18))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177679662 divided by -4.\nAnswer: -88839831\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uufauuuflulf. Give prob of picking 1 a and 1 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 4:29 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**2 + 805. Let y(v) = -1137*v**2. Calculate h(y(u)).\nAnswer: -2274*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 277, 2159, 7265, 17209, 33605, 58067, 92209, 137645?\n\"Answer: 269*r**3 - 2*r**2 + 5*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48817, 48610, 48403, 48196, 47989, 47782?\nAnswer: 47575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 177. Let q = y + 88. What is the closest to 2\/5 in 0.2, 1\/4, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 1. Let z be a(-1). Suppose 0 = 4*d - 2*u - 7 + 1, -d + 5 = 3*u. Factor -l + d*l**z - 3*l**4 - 4*l**2 + 6*l + 7*l**2 + 2 - l**3.\nAnswer: -(l - 2)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 - p + 1. Let a(d) = -4*d**3 - 4*d**2 + 4*d - 2. Suppose 0*o - o = -3. Let g = 80 - 79. Let x(l) = g*a(l) + o*s(l). Factor x(u).\nAnswer: -(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 18*i - 3. Let g(q) = 2*q**2 + 34*q + 5. Let l(j) = -3*g(j) - 5*p(j). Let k be l(-10). Calculate the greatest common factor of 90 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -673477.35 rounded to the nearest one thousand?\nAnswer: -673000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(320) + -2))**2 - (sqrt(80) + -3)*-2.\nAnswer: -504*sqrt(5) + 5178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7847, -30628, -68597, -121754?\nAnswer: -190099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + ((-6*(-1 + sqrt(2)) - sqrt(2)) + sqrt(18)*-5 + sqrt(200) + (sqrt(200) - (sqrt(200) + 0) - sqrt(200))*-4)*1).\nAnswer: 12 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 24. Which is the third smallest value? (a) 4\/7 (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 27, -3, -5, 63, 17 in descending order.\nAnswer: 63, 27, 17, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 206065825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 763856380.943 and 4.\nAnswer: 763856384.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 1\/13, -36, -0.3, -0.606, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 12, p: 7, d: 1}. What is prob of picking 1 w and 2 p?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15513 and 5569167.\nAnswer: 5569167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 11:24 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6536 and 143\/228?\nAnswer: 19608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 3. Let f be j(-3). Let t = 79 - 71. Let d be t\/6*((-108)\/(-16))\/9. Solve f*w - d = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.128, -162, 3?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 9*t**2 - 2*t - 13. Let c be z(-9). Let j be 580\/8 + (-1)\/2. Suppose c*x - j = x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36289.99994 + 36295. Let n = v - 5. What is n rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -3*t + 10*t. Suppose 49*l = 47*l + t. Suppose -l*k + 4*i = -0*i + 266508, 2*i + 53296 = -k. Round k to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1621\/64 or 26?\nAnswer: 1621\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14080998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 3*g + 4. Let b be f(4). Let l = 52233 + -52235. Sort b, 8, l in ascending order.\nAnswer: l, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 763.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1843 = 5*u + 5*d + 318, -3*u + 5*d = -891. Suppose 2*p + 7*k = 4*k + u, -5*p = -5*k - 805. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -2, -0.95, 10\/39?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c + 410 = 12*c + 18 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -6.2. Let b = 1.2 + k. What is the biggest value in -3, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-9))\/((-10)\/(-20)))\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -72. Sort -5, 5, v in decreasing order.\nAnswer: v, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - -17 - -12) + 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12042\/34788 - (0 + 1\/2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 544\/24 + 2*(-2)\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 1. Let h(b) = -233*b + 1 + 466*b - 235*b. Give -h(p) - 2*w(p).\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 7:53 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**2 - 2*v**2 + 2*v**2)*(-2 - v + 2 + (5*v - 4*v - 3*v)*(1 + 1 - 3)) to the form i + d*v + h*v**3 + w*v**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 - 72*q + 48. Give a(18).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/5583, 6 in decreasing order.\nAnswer: 6, 0.3, 2\/5583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 40259700*g. Let r(i) = -i. Calculate r(m(f)).\nAnswer: -40259700*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1560715000 to the nearest 1000000.\nAnswer: 1561000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -23*n**2 + 4*n. Let p(j) = 1196*j**2 - 207*j. What is -4*p(m) - 207*w(m)?\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3703 = t, 22*t - d + 7483 = 24*t. Is 45 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -1947234?\nAnswer: -1947234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30255, 30146, 30033, 29916, 29795, 29670?\n\"Answer: -2*k**2 - 103*k + 30360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000348 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144.2 - 137. Let v = -7.1 + i. Which is the nearest to v? (a) -3 (b) -1\/8 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1789*o + o**3 + 443*o + 454*o + 447*o + 445*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6325169\/62826 + -3723\/37. Find the common denominator of -95\/42 and k.\nAnswer: 11886","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 600472, 600722, 601146, 601750, 602540, 603522, 604702?\n\"Answer: s**3 + 81*s**2 + 600390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13288 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 69802 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13860 divided by -6\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -4. Let j = v - 0. Let h = 2 - j. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-40))\/(6\/2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (3744856\/(-40))\/((-31)\/155) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 41*m + 6494*m**2 + 6515*m**2 - 12992*m**2 - 57.\nAnswer: (m - 3)*(m + 1)*(m + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21819078 and 108.\nAnswer: 43638156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -52, 12 in descending order.\nAnswer: 12, 11, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 223927*d**2. Let w(k) = -2*k. Give m(w(f)).\nAnswer: 895708*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 222690804?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 36*h**3 - 40*h**2.\nAnswer: 4*h**2*(h - 10)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2)\/4*242\/5324.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20508*396.1\nAnswer: 8123218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 5604?\nAnswer: 140100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4 - 15. Is 19 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i**2 + 42*i + 1. Let q(x) = -x**3 + 97*x**2 - 281*x - 88. Let t be q(94). Give h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -0.308209\nAnswer: 0.01541045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -582593.5 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1332 + -54a17?\nAnswer: -56249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65683 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:29 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 754. Let i(a) = -1796*a. Calculate i(l(c)).\nAnswer: -3592*c + 1354184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**(1\/61)\/(f**(-4\/13)\/(f\/(f*f**6\/f))) assuming f is positive.\nAnswer: f**(-7429\/1586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 11. Let o be r(9). Let h be (-91)\/(-2) - o\/(-4). Suppose -2*s - 4*q + 20 = 2*s, -q + h = 5*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/68 + ((-12807)\/17)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 15*o**2 + 11*o + 22. Calculate v(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5044001 - 5?\nAnswer: 5043552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 269594645 divided by -4\nAnswer: -269594645\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) 18 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 257274 and 495.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 + 106*i - 457*i - 42 to m + h*i and give h.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 8248 + 16109 - 7859.\nAnswer: 7*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 497.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4806*h. Let t(p) = -5*p**2. Calculate t(a(j)).\nAnswer: -115488180*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 - 520*n**3 - 2562*n**2 + 6688*n - 3605 = 0. Calculate n.\nAnswer: -515, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -882 plus 599671043?\nAnswer: 599670161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s**2 + 26*s + 45. Let j be x(-16). What are the prime factors of 22\/(-143) + j\/(-39)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 + 3*q**4 + 6*q**3 - 10*q**2 - 21*q - 9.\nAnswer: -(q - 3)**2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5664*q - 119694. What is i(21)?\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yccv. What is prob of sequence vc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (225\/(-50))\/((-813)\/4336).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-8)\/(-12))\/(20\/12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0 - 2*z**2 + 0*z + 0*z**3 + 0*z**4 - 1\/84*z**8 - 1\/30*z**5 + 0*z**6 + 0*z**7. Find the third derivative of q(r) wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*n = 78, 2*n - 13 = -u + 4*n. Let d = 25 - u. Solve q - d = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/22932*14)\/(111\/(-357) - 10\/85).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2067610 divided by -5\nAnswer: -413522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27778 less than -69.373?\nAnswer: 27708.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1077*c + 37*c - 5919 + 25679 = 0 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -274*i - 3. Let h(l) = l. Let k be ((4 - 7) + 1)\/2. Let b(w) = k*y(w) - 5*h(w). Is b(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -23, 0.4 in decreasing order.\nAnswer: 0.4, -10, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -13. What is the derivative of -3 + 2*k**2 + 2*k**2 - 2*k**2 - b*k**2 wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.02 (b) -0.039 (c) 3 (d) 2\/17 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**3 + 0*i + 0*i**3 - 4*i + 16*i - 12*i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*t + 10*z + 49, 3*t - 14*z = 106. Which is the biggest value? (a) t (b) -23 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 0.5. Let w = 14 - 13.9. What is the nearest to g in w, 4\/9, -1\/4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2. Let j be b(-1). Let u(f) = f - 2. Let n be u(j). Suppose n*k - 2*k = -294. What is the highest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 >= 171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 + 168 = x, 0 = 4*x + 4*q - 748. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 79, 237, 537, 1027, 1755, 2769, 4117?\n\"Answer: 8*v**3 - v**2 + 11*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from ngaaavvaavvna?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1163773873 to the nearest integer?\nAnswer: 34114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -25*v - 349. Calculate i(-12).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1120 + 13123 = -242*a - 4695 for a.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 40 + q + 28 - 15*q + 30*q. Let v be t(-5). Let p be -2 + 62382\/v + 3\/6. Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 186.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5 = 5*j. Suppose 0 = -2*s + t + j, s + 3*t = 2*s + 12. Let y be s\/(-12) - 81\/(-4). Solve 0 = -5*n - 0*n + y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6424 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 11) + -30 + (8 - -6) + 20 - -66?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 0.3, -4, 2\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-375)\/(-180)*98\/245?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 2068*g**2 + 7 - 21 to the form w + o*g**2 + s*g and give o.\nAnswer: -2068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose -4*h + 2*h - 2 = m. Put 0, 2, h in increasing order.\nAnswer: h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 278, 418, 558?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 4790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -10 - (-12 + (-8 - -10))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4676 and 52647.\nAnswer: 35168196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -56625000 to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19791 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvufzzvq. Give prob of sequence ffz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (648\/(-189))\/(-12)*(-42)\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 132 = -5*q - 10, 2*z - 46 = -2*q. Calculate the remainder when 47 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8744 + -4802. List the prime factors of b.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 + 2*q**3 - q**3 + (4 + 12 - 10)*(19*q**2 + 1056 - 3*q**2 - 1054 + 2*q**3).\nAnswer: 14*q**3 + 96*q**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6592526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11143955 to the power of 1\/2, to the nearest integer?\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 133521.9.\nAnswer: -26704.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 8971 = 7627 for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-14 - ((1 + -9 - 1) + -574 + 573))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39925, -43595, -47267, -50941?\nAnswer: -54617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*r**2*x**2 + 5978553*r**2 + 33*r*x**2 + 31*r*x + 11*r - 29*x**2 - 2*x wrt r?\nAnswer: -24*x**2 + 11957106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 5*p**3 + p**3 + (2 - 4 + 3)*(0*p**3 + 3*p**3 - p**3).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 less than 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899 + -14 + 8\/(-2).\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1870 and 56799754.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774818?\nAnswer: 2, 11, 41, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1025 or 8211\/8?\nAnswer: 8211\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 10 (c) 1 (d) -1\/4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -19*g**2 - 132*g + 82. Give q(-8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Suppose -4*o + 2*o + 4 = x. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i + 2122 - 684 + 406 = -964 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 614072.\nAnswer: 614072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 1, w: 2, i: 2}. What is prob of picking 1 w and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2647, 7, -5, 17 in descending order.\nAnswer: 2647, 17, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142440*c**3*p**3 - 16*c**2*p**3 - 2689*p**3 wrt c.\nAnswer: -854640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3166368?\nAnswer: 2, 3, 32983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8c1bb (base 15) to base 4\nAnswer: -1230313031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -367, -746, -1135, -1534, -1943, -2362?\n\"Answer: -5*z**2 - 364*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38983 = 14*z - 31045. What are the prime factors of z?\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - -0.61\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 201*o - 9. Is n(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 293*h**2 + 140*h - 1635. Determine k(-146).\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3\/2 - 89*d**2\/4 - 14635*d\/4 - 14750 = 0.\nAnswer: -40, -25\/6, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 4) to base 5.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*k = -1962*k - 595*k + 200232 for k.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**3\/6 + 3*l**2 - 8*l + 7. Let g(s) be the first derivative of h(s). Determine g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 172546*q + 131857?\nAnswer: 172546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61978770 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(180)*-1 + -2*sqrt(180)*-1 + -2*(sqrt(180) + 0) + -3 + -5)*4.\nAnswer: -24*sqrt(5) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5217704 divided by 652213?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(-18)*o)*o*o\/o**(7\/5) assuming o is positive.\nAnswer: o**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 163*m + 9474. Let r be g(-58). Let w = -682 + 972. Suppose -2*j + w = a + 2*a, 0 = -5*a + j + 505. Calculate the highest common factor of r and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 c when four letters picked without replacement from cccbczzbz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3359 + 3329 = -15*u. Solve 3*g = -k - 6, -3*g + u*k + 157 = 145 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-3)\/(-3) - -3. Suppose 3*l + h - 9 = 0. Suppose -l = -d + 9. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220719772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let v(z) = 242*z + 132. Let k(n) = -6. Let t(o) = -22*k(o) - v(o). Calculate t(y(w)).\nAnswer: -484*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) -2202\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 7*m - 384. Suppose m = 3*t - 830. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2\/3*b - 3\/2*b**4 + 8\/3*b**2 + 0 + 11\/6*b**3 = 0?\nAnswer: -1, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, 0.3, -3\/4, 1\/3, 42.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*v**5 - 2430*v**2 + 0 - 40*v**4 - 18225\/4*v - 945\/2*v**3.\nAnswer: -5*v*(v + 5)*(v + 9)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(34)\/sqrt(2) - (sqrt(17) + 1*(sqrt(17) + -1))) + (sqrt(204)\/(sqrt(24)\/sqrt(2)) - (2 + (sqrt(17) - sqrt(272)) - sqrt(17))**2).\nAnswer: -275 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + 1 + (sqrt(2) - (sqrt(2) - (0 + sqrt(2) + 3)))**2.\nAnswer: 12 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 23*w**2 + 27*w - 76. Calculate k(22).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138897 + 138897 - 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 - 120*w + 432. What is h(26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:04 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8525.423ml to litres.\nAnswer: 8.525423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by -535?\nAnswer: 82\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*c = 582, 3*i - 4*i - 3*c = -186. Let m = -598 - i. Is (-15)\/(-10)*m\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 8. Let c be d(-9). Let w = 33 + c. Calculate the lowest common multiple of w and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -3225315?\nAnswer: -3225316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63659.\nAnswer: 63659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.43147 - 0.06853. Let k = 10.55 + -11. Let z = 0.05 + k. Which is the nearest to -0.1? (a) f (b) -3\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 0*s + 3*s - s - 4*s. Let d(w) = 167*w + 2. Let h(y) = 10076*y + 121. Let u(k) = 121*d(k) - 2*h(k). Give l(u(i)).\nAnswer: -110*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5034+7.763746968\nAnswer: 5041.763746968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192960*d**4 - 216887 wrt d.\nAnswer: -771840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2057))**2*-2 - (-4*(sqrt(17) + 2 - sqrt(17))**2 + 0)) + 4.\nAnswer: -4094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138647 is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 - -89. What is the hundreds digit of ((-34)\/(-3))\/((-2)\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6969 + 41711\/6. Calculate the common denominator of n and -1\/357.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1370961*s + 554197*s + 130738*s.\nAnswer: 2055896*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 6:38 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 24.6502, -5 in decreasing order.\nAnswer: 24.6502, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0*(-2)\/(-4))\/(341 + -340). What is the common denominator of ((-122)\/(-16))\/(22\/4) and (v - (-12)\/(-256))\/((-198)\/8008)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in 0.5, 2\/13, 2\/5, -2\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -648*l + 373*l - 2636*l to the form b + p*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 5. Let h = x + 21. Let q(w) = w + 18. Does 7 divide q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**6\/6 + 8*f**3\/3 - 12*f. What is the second derivative of h(k) wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 2. Let g(x) = -486*x + 306. Let k(c) = -2*g(c) - 12*l(c). Differentiate k(y) with respect to y.\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**6\/2 + 12*u**5\/5 + 9*u**4\/4 - 4*u**3 - 6*u**2 - 203. Determine k, given that r(k) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3614 = 7*h - 89. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -62*i + 75. Solve -i*s = b + 15, 0 = -4*s - 2*b - 5 - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23901.1 - -0.031.\nAnswer: -23901.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/1001923, 0.8, 2?\nAnswer: 2\/1001923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-20))\/(1\/26) + (-484 - -527).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/1)\/6 - -112. What is the second derivative of -52*g**4 - p*g + 120*g - 132*g**4 - 1 wrt g?\nAnswer: -2208*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 37565 - 4112 = -5*k, 2*h + 5*k = 22302. What are the prime factors of h?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84798, 84537, 84116, 83541, 82818, 81953, 80952, 79821?\nAnswer: 78566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*d = 79, -4*d = -3*v - 2*d + 43. Let r = 2 + v. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18879128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -290*s**4 - 6*s**3 + 1731 with respect to s.\nAnswer: -1160*s**3 - 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5*13.61\nAnswer: -68.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v = -48*v + 175 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:50 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/10)\/(-1)*-5. Let h(g) = 2*g**3 - 2*g**3 + a*g**2 - 8*g**3 - 3*g**3. Let c(i) = -4*i**3 + i**2. Let p = 1057 - 1049. Determine p*c(k) - 3*h(k).\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3613601, 7227122, 10840643, 14454164, 18067685, 21681206?\n\"Answer: 3613521*r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 706 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/9, 304\/3, 2, 1\/4, -0.4 in descending order.\nAnswer: 304\/3, 2, 1\/4, -1\/9, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/13)*t)\/t**(-11))\/(((t**4\/t)\/t)\/(t*t\/(t**7*t)*t*t*t)) assuming t is positive.\nAnswer: t**(93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 7. Let t be y(5). Let x(p) = -2*p - p - p - 2. What is the tens digit of x(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318229 is divided by 2608?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*w = b + 23, 0 = 4*b - 5*w - 75. Let g = 56 - b. Let j be (10\/85)\/(15\/510). What is the greatest common divisor of g and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 - 3*w**2 + 2*w - 2. Let p(b) = b**2 - 19*b + 16. Let a be p(18). Let u(f) = 9*f**3 + 7*f**2 - 5*f + 5. What is a*u(s) - 5*d(s)?\nAnswer: 2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11634*a - 4. Let h(v) = 54*v - 1. What is 4*h(t) - x(t)?\nAnswer: -11418*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -371*y + 5. Let p(a) = -7*a**2 - 3*a + 32. Calculate j(p(m)).\nAnswer: 2597*m**2 + 1113*m - 11867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61391573.\nAnswer: 17, 43, 83983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43399, 43395, 43391, 43387, 43383?\nAnswer: 43379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(176)*6.\nAnswer: -2 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k - 8. Suppose -4*w = -k*d - w + 13, 3*d = -4*w + 11. Suppose 3*h = -b + d + 8, 31 = 2*b + h. Solve 4*g = -0*g - b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94023919 divided by 2541187\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 1 + 1)*(-r**3 + r - r) + 0*r**4 + 0*r**4 + 2*r**5 - 659 - 27*r**5 + 659.\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 603543092 to the power of 1\/2, to the nearest integer?\nAnswer: 24567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -18. Suppose f*y - 13 = 3. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Let p = f - -0.1. Let y = p + 0.90000095. Round y to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((9\/(-30))\/1). Let g = b - 14. Let a(k) = -k**3 - 5*k**2 - 6*k - 3. List the prime factors of a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/42 in -4, 2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.037 - 372565214?\nAnswer: -372565212.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125527007 divided by -5.\nAnswer: 125527007\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*u + u = -20, 4*m = -u + 4. What is the remainder when m is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 97.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.621735kg in milligrams?\nAnswer: 1621735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4441250.\nAnswer: 2, 5, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-9) + 6)\/(568\/5112).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 994.402.\nAnswer: -2983.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*q**2 - q**2 - 6*q**2 - 6 in the form w*q + n*q**2 + i and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*u + 2*u - 45, 3*c = -u + 48. Let v = 26 - c. Is 12 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24397.2 take away 9.3?\nAnswer: -24406.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111532135 (base 6) to base 16.\nAnswer: 1f45bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 273*m**2 - 127818*m + 69999028.\nAnswer: (m - 526)**2*(m + 506)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b52961 + 2?\nAnswer: -b5295c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 13120.42 millilitres?\nAnswer: 13.12042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41+1.579\nAnswer: -39.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14385773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.086, -6, 40, -3\/5, -5?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -2*w - 138. Let o(m) = m**2 + 9*m + 21. Let k be o(-4). Put k, w, -12 in decreasing order.\nAnswer: k, -12, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 16*a**2 - 4*a**2 + 17*a**2 + 4 + a**3. Determine l(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24 and -0.0807?\nAnswer: 24.0807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1074)\/358)\/(((-36)\/(-140))\/3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 128*r + 16\/3*r**2 + 44 + 2\/27*r**3. Let i(j) = 0. Calculate j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141962 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-184)\/(-16) - 11)*-14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22641047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 10446*z - 429*z**2 - 10446*z as y + n*z + w*z**2 and give w.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48630?\nAnswer: 2, 3, 5, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**5\/60 + 2*p**4\/3 - p**3 - 5*p**2. Is t(8) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 19*s**2 + 67*s - 64. What is d(5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1555202 - 5?\nAnswer: -1555210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20\/29, -762.\nAnswer: -762, -1, 20\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 117790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from zzza?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 5, -3, -15?\n\"Answer: -2*r**2 + 2*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -7080.5?\nAnswer: -7080.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30 (b) 247 (c) 0.5 (d) -4 (e) 3\/2 (f) 1\/3 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -327b (base 13) in base 11?\nAnswer: -5312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40112*c**3 - 6*c*v**2 + 1127507*v**2 wrt c.\nAnswer: 120336*c**2 - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/10888265 and 29\/65?\nAnswer: 141547445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14037624 and 36.\nAnswer: 14037624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1734?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 716, 715, 714, 713, 712?\n\"Answer: -p + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 320163*i**3*j**3 + 101*i*j**3 - 59950*j**3 + 124*j + 1 wrt i.\nAnswer: 960489*i**2*j**3 + 101*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*t - 4 = 2*a, 0 = -3*a - 4*t + 24. Suppose -5*d = -j - 8, -5*j + 21 = 3*d + 5. Solve -a*w = -4*f + 3*f - 1, -4 = -j*w + 4*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0)**14*(v*v*(v\/((v*(v\/(v*v**(-1\/3)))\/v)\/v))\/v)**(-2\/85))\/((v*v\/(v**0*v*v)*v**(5\/4))\/((((v*v\/v**0)\/v)\/v)\/v)**(-8\/5)) assuming v is positive.\nAnswer: v**(14573\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26700 = -40*h + 34*h. Suppose -120*p + h = -115*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-442)*2*(-2040)\/(-180)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:05 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 581, 0 in decreasing order.\nAnswer: 581, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Which is the nearest to q? (a) -1 (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882 = 45991*a - 45109*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 c when four letters picked without replacement from {u: 4, c: 10}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g + 6 = 0. Let o = -31 - -53. What is the remainder when o is divided by g\/2*(1 + -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 391723922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b - 4. Suppose 6*r = r - 15. Let l = 14 + -9. Sort l, b, r in increasing order.\nAnswer: r, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.935 - 39.6. Let o = w + -0.335. Is -3.4 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22578 - 22577. What is the biggest value in p, -2, 0.03, 3\/8, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3417 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52981\/33994 - 21\/739. What is the common denominator of y and -91\/184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 296, 297, 298?\n\"Answer: z + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -33*x - 818. Let v be i(-25). Solve 5*l = 3*d + 3, 4*l = d + 5*l - v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -42*r - 328. Let i(a) = -2*a. Give d(i(l)).\nAnswer: 84*l - 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 10*h**2 + 11*h - 9. Give t(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -41. Suppose r + 78 = 9*c. List the prime factors of (45\/c)\/(21\/616).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23807 and 665.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -103. Suppose -9 + 10 = p. Let a = 9 - p. What is the remainder when s is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**3 + 2*h**2 + 55*h - 5. Let o(x) = 8*x**3 + 3*x**2 + 55*x - 6. Calculate -5*o(k) + 6*u(k).\nAnswer: 2*k**3 - 3*k**2 + 55*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1630\/45 - ((-40)\/(-18) + -2). Suppose -z*m = -40*m + 728. What is the remainder when m is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -265*l**2*r + 2*l**2 + 34*l wrt r.\nAnswer: -265*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 3. Let n(k) be the first derivative of 3*k**2 - 5*k - 11. Give 5*d(p) + 3*n(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 2. Let r be g(0). Let j be r\/(1 + -1*2). Let z = 5785 + -5783. Solve -j = -z*f - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407531 is divided by 406987?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38.4866 + 38.4066015. Let g = f + 0.08. Round g to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 55315 = 14*h + o, -55290 = -5*h - 4*o. What are the prime factors of h?\nAnswer: 2, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1) + 3 + 1. Suppose -2*s + 1 = -7, -2*i + m*s = -26. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/1855 and 94\/21465.\nAnswer: 150255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28d02 (base 14) in base 16?\nAnswer: -18bd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {h: 2, m: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(637) + -1)*-3 + -1)*-4 - ((-2 + -2 + (-2*sqrt(637) - sqrt(637)) + (0 + sqrt(637)*-2 - sqrt(637)))**2 + 2).\nAnswer: -22910 - 756*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3011 + 3010.9. Let n = 1 - -3. Let b = n + -6. Put -1\/5, b, c in ascending order.\nAnswer: b, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -196015367.2 to the nearest 10000.\nAnswer: -196020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 6 = 2*y, -13*q - 3*y - 9 = -8*q. Suppose q = x - 4*x + 432. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31739, 63478, 95217?\n\"Answer: 31739*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3193.\nAnswer: 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 53880.\nAnswer: 53880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*p + 4, -5*p - 3 = -y - 2*p. Suppose -f = -y*f. What is the third derivative of f*w**5 - 4*w**6 - 4*w**2 + 4*w**5 - 4*w**5 wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141254 + -2052?\nAnswer: 135202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 2*q - 12. What is the remainder when 21 is divided by v(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3906.8 and 2.\nAnswer: 3908.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h**4 + 14*h - 14*h + (h + 2*h**4 - h)*(-2 - 5 + 5))*(-2 + 2 - 2*h) + 274*h**5 + 156*h**5 - 102*h**5.\nAnswer: 316*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 5, k: 7}. What is prob of picking 2 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 243513808*t**2 + 16531*t + 2521.\nAnswer: 487027616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3800)\/(-228) - (-5)\/(-3). Let j be 3\/9 + (-236)\/(-3). Suppose j - c = t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-88)\/(-2*2) + -1. Let p(f) = 9 + f + 4 - j. Let b be p(7). Let w(c) = 6*c**3. Determine w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 112 - 69 - 41 + 146*i**2. Let t = -4 - -3. What are the prime factors of s(t)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, m: 2, y: 2, k: 4}. Give prob of sequence kyk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007459594983 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -107800 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(44) - (-3 + sqrt(242))**2 - (1*sqrt(256) - sqrt(4))\/(sqrt(242) + -2*sqrt(242)).\nAnswer: -251 + 1477*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7465, 14933, 22401?\nAnswer: 29869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11418 or -11420?\nAnswer: -11420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 12 = -4*b. What is the lowest common multiple of b and 0 + (-3 - -2) + 21?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.786396 to one decimal place.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11330956, 22661916, 33992876, 45323836, 56654796?\nAnswer: 67985756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*u + 11 - 11)*(0 + 0 - 3*u) to z*u + k*u**2 + t and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/30)\/(28\/(-370))*(-5 + 4).\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxoxooxzoxxxoo. Give prob of picking 1 o, 1 x, and 1 z.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 144391466 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.13, 6?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raa when three letters picked without replacement from {r: 4, a: 16}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*-4*(-6)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let b(c) be the second derivative of 0 + 5*c + 0*c**2 - 1\/2*c**3. What is b(g(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 2, 29, 4, -7\/6, -3.66?\nAnswer: -3.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -1289, 0.2.\nAnswer: -1289, -1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4159836ml to litres.\nAnswer: 0.0004159836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 1:26 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (3 - 5 - 3) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 448988000 to the nearest 1000000.\nAnswer: 449000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 51*z - 605. Let s be t(32). Let g(k) be the second derivative of 0 + 3\/20*k**2 - 1\/120*k**4 + 8*k - 1\/30*k**s. Find x, given that g(x) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2906.375 milligrams in nanograms?\nAnswer: 2906375000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 - 111 = 5*x - 4*w, -3*w + 4 = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - -10)*(-1)\/9. What is the third smallest value in h, 2\/19, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 96 = -2*i, 3*g + 44 = 20*i - 22*i - 2*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - r - 2*r - r. Suppose 0 = g + 4*g - 2*a - 10, 0 = -a - 5. Let n(w) = g + 0 + w. Give n(q(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3\/3 - 2*q**2 + 4*q + 5. Let a(k) = -k**2 - 7*k + 7. What is 4*a(l) - 7*v(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105396 is divided by 1671?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1\/4, 44, 0.07?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1766 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 58 + ((-15)\/(-9) - 2\/(-6)). What is the derivative of -10 + 86*c - 120 - b wrt c?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.6 + -6.5. What is the closest to i in 0.1, -3, 0.01?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -131, -322, -589, -932, -1351, -1846?\nAnswer: -2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4525056 by 502784.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + 3. Calculate the least common multiple of n and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 7*f**5\/15 + 7*f**4\/8 - f**3\/2 + 10*f**2 - 3. What is the units digit of z(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -14, -2, 26, 76, 154, 266, 418?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002111 + 1020?\nAnswer: -1001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 25*b - 21*b. Let q = -64 + -5. Let w = q - -86. Solve -b = p - 5*c - 0*c, 2*c - w = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/11 and (-3 - 5424\/(-1845)) + 6\/45?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.13 - -15.87. Let g = -57.5 - -73. Let v = g - z. Round v to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10063585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 13 + 0*z**3 + 4*z + 6*z.\nAnswer: -4*z**3 + 10*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6165353, -6165356, -6165359, -6165362, -6165365, -6165368?\n\"Answer: -3*t - 6165350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**4\/2 + 106*g. Let s(l) be the third derivative of 7*l**4\/24 - 3*l**2. Give x(s(q)).\nAnswer: 294*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 2, x: 5, e: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/15)\/(3\/15). Suppose 3*a + 3*l = -0 + 3, 5*a - d*l - 29 = 0. What is the second derivative of i - 5*i - 2*i**4 - i**a + 5*i wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*x - 1044 = -15*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12*w = -112. Suppose 8*y = 7*y + 4. What is the remainder when w is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 38. Let x be h(19). What is the closest to -0.1 in 1\/3, 7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166142 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y - 3. Let z be o(5). Let t = -1 + z. Calculate the remainder when t is divided by (-1)\/(-5) - 87\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*j - 3*p, -4*j + 330*p - 333*p = -14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -25. What is the lowest common multiple of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 6*o**2 - 5*o + 6. Suppose 4*a - 28 = -8. Let l be t(a). Solve s = l*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.2, 8.24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -341749389, -683498780, -1025248171, -1366997562, -1708746953?\n\"Answer: -341749391*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 71, -0.5, 2, -949\/136?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**6\/120 + 7*w**5\/60 + 3*w**4\/8 + w**3\/6 + w**2. Suppose -2*x + 7 = -7. Is r(x) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 30\/(-75))\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15165 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154319885.\nAnswer: 5, 139, 222043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 + 34*r**2 + 31*r - 35. Let a be w(12). Solve a*f - 50*f = -7 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6116539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -7\/9, -22, -21 in descending order.\nAnswer: 0.4, -7\/9, -21, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:50 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j, -4*v + v - 4*j + 231 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 3*q - 3. Suppose 33*b - 8 = 31*b. Let m be -18*(-3)\/9*2\/b. Determine o(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 - g. Let k be w(1). Suppose -32 = -k*c - 2*u, 2*u = 2*c - 2*u + 4. Solve -d = 2*d + c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odomddmmmm. Give prob of picking 4 m.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1911569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 683.1 and 0.1?\nAnswer: 68.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175 (base 9) to base 14.\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 342*t - 289. Calculate f(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -11. Suppose -r + 11 = 4*y - 7, -12 = -2*r - j*y. Factor 2*b - b**2 - 1 + 0*b**r + 3*b**2 - 3*b**2.\nAnswer: -(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4336.1 + 23497698.\nAnswer: 23502034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czz when three letters picked without replacement from {c: 3, z: 4, m: 11}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.8 + -2.6. Is 2\/3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26507248370 to the nearest one million.\nAnswer: 26507000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7710939 + 1729481 = y. Suppose 2*p + y = 7*p. Suppose 5*x + 20500016 = -4*j, -2*x - p - 6311900 = -4*j. What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -518*d**2*f**3 - 8*d**2 - 42*f**2 wrt f?\nAnswer: -3108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2276c - -2?\nAnswer: 22771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2438*i - 34?\nAnswer: 2438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*4\/24*-12. Put 1, -4, b in descending order.\nAnswer: b, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i - 17*i = -60*i + 3*i + 612 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-40)\/30)*(44\/33)\/(6\/222)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + x - 16 + 8 = 0, 0 = 2*o + 2*x + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, -18\/13, 19\/5, -27.3?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(75))*2 + ((sqrt(3) + 3 + sqrt(3))*3)**2 + -3 + 0.\nAnswer: 194 + 148*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186430628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -508\/33 - -68\/33. Let y = q + 118\/9. What is the second biggest value in 0, y, 1.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-18)*(24\/120)\/((-1)\/3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4728197 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 992834069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 - 25*u**2 + 19*u**2 + 8*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 469*q - 3941. Determine p(9).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14235 - -14306. Solve -5 - 66 = -y*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838110551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51123823 rounded to three dps?\nAnswer: 0.511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqqsbdqqsbsmbb. What is prob of picking 1 d, 1 q, and 2 b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4192*r + 51765. Determine z(-12).\nAnswer: 1461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*x**3 + 5*x**3 + 2*x - x + 24*x**3 wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*w - 99*w + 197*w to the form u + d*w and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**3 - 78942686*s**2 + 589381462*s wrt s.\nAnswer: 6*s - 157885372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/(-14) - (-2)\/(-7). Let z be (-7)\/(-14) - 381\/n. List the prime factors of 42\/z + 358\/6.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 3*u**2 - 3*u. Let y be n(-3). Let q be (4\/(12*-1))\/((-4)\/60). Suppose -q*b + 38 = -12. Which is bigger: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 2a2?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 5:41 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*-2)*-2*-1)\/(4*(sqrt(12) - sqrt(1200)*-2)).\nAnswer: -sqrt(11)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2770 + -408. Is 1 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.300868 millilitres in litres?\nAnswer: 0.005300868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 1:29 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f - 290 = 70*f - 5764 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.8 - 26.3. Let a = -74.18 + 0.18. Let h = q - a. Round h to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029303 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.53, 0.5, -26\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 17) + 46 + -43?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 584*x - 13387. Give g(-24).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p**6*p*p**(2\/17)*(p\/((p\/(p\/(p\/(p\/(p\/(p*p**8))))*p))\/p))\/p)**(-23) assuming p is positive.\nAnswer: p**(-4347\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 21 - 0 - 0. Let g = 25 - q. Suppose 4 = 2*y - 2*l, g*y + 4*l = l + 4. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 806 and -1262680?\nAnswer: -1017720080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21553790 by -6.\nAnswer: 10776895\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*a + 7668 = 164*a + 108*a. Solve -3*w = b + 16, 0 = -a*w + 32*w + 4*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-3*c + 2*c**4 + 3*c) + c**4 + 4 - 4 - c + c + 2*c**4 - c**4 + 113098 - 113098 - 2*c**3 + 394*c.\nAnswer: 4*c**4 - 2*c**3 + 394*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/52 - 5118\/(-8). Suppose p + 8*p - x = 0. Do p and 72 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.14 - 20.14. Which is the third smallest value? (a) 2\/19 (b) 217 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5600 - -1.3\nAnswer: -5598.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1, 39 in decreasing order.\nAnswer: 39, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11452174 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 + 30*d + 28. Let v(y) = 14*y**2 + 60*y + 56. Let w(z) = 5*c(z) - 2*v(z). Factor w(b).\nAnswer: 2*(b + 1)*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (84156\/5)\/((-40)\/(-2200)*11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeevfnze. What is prob of picking 1 e and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005077274 rounded to 6 decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 0, -3*i + m - 458 + 1997 = 0. Let u = i - 76. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 t when three letters picked without replacement from {w: 1, o: 6, t: 2, m: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3250*o - 7002*o**2 + 6980*o**2 - 3251*o.\nAnswer: -22*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, -2\/11, -0.052, 5.83 in descending order.\nAnswer: 14, 5.83, 2, -0.052, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 104532581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 91\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27399499803 minus 0.04?\nAnswer: -27399499803.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (6 + -4)) + (1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9673311 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 21*v + 65. Let m = 18 + -9. What is the lowest common multiple of p(5) and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*l + 16*l - 577966 = -4*l. Is l a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -12220200211211?\nAnswer: 12220200211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/63)\/(1\/(-42)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1 = 31. What is the greatest common factor of u and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -9 - (-10)\/2. Solve 2*k + 5 = -x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (sqrt(320) - (sqrt(320) + -2*sqrt(320) - sqrt(320))*5))\/(sqrt(896)\/sqrt(7) + sqrt(8)))\/((2*sqrt(144))\/(sqrt(32)\/sqrt(4) - sqrt(2))).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 422\/563413, 0 in ascending order.\nAnswer: 0, 422\/563413, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-1)\/(-2) + 0). Let p = -149 + 149.2. Which is the nearest to t? (a) p (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -582 (b) -2.4 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 975 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -815*5074\nAnswer: -4135310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljjvpjpjvjjpppnmlvmj. Give prob of sequence mljv.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + x**2 + 2*x**2 + (-2*x**2 - 3*x**2 + 2*x**2)*(0 + 1 - 2) - 6*x - 5*x**2 + x**2 + 2*x**2 to b + h*x + v*x**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 543.21*-0.5.\nAnswer: -271.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 3*j**5\/10 + 13*j**3 + 43*j**2. Differentiate o(m) wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -1, 1\/8, -3079, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27124344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 21*a**2 - 5*a - 5. What is the remainder when 29 is divided by k(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/28605, 27, -1 in decreasing order.\nAnswer: 27, -11\/28605, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -17. What is the common denominator of 37\/4 and (-2)\/t*79 - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*d + 1541 = -37*d - 1174. Solve -4*h + 4 = 4*w, -3*w + 8*w - d = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 16*i**2 - 3*i - 47. Let u be z(-5). Suppose 0 = -8*l + u - 56. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9744.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -2 - (-7 + -6 + 14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b - 27. Let q be i(5). Solve -q*z - 25 = -2*x, 20 = 5*x - 0*z + z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17450?\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g = o + 15, 2*o = -10. What is the third derivative of 2*m**2 - 2*m**5 - m + m + 3*m**g wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**4 + 4*f - f**2 + 23 + 24 - 45 - 2*f**3 to the form h*f**2 + o*f + m*f**4 + y + z*f**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 54.2*72\nAnswer: 3902.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 323 - 107. Let o = -215.9999977 + t. What is o rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/24? (a) 555\/2 (b) 5 (c) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 11*d**2 + 6*d - 14. Suppose 48 = -5*i + 2*f, -2*i - 3*f - 23 = -0*f. What is the units digit of j(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d*n*p*r - d*n*p - 9*d*p**2 + d*p*r + d + 6*n*p**2*r + 6*n*r + 8*p**2 wrt r?\nAnswer: 3*d*n*p + d*p + 6*n*p**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6402 and 12818938.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 3. Let w be h(-3). Let d be (w - 28)\/((-8)\/4). Suppose -4*b - 3*u + d + 11 = 0, -4*b + 45 = -u. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -75 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*r - 2*f = -665*r - 4, -4 = r - f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 268666 rounded to the nearest one thousand?\nAnswer: 269000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1773.32 + -1.605281\nAnswer: 1771.714719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/6 and (-2716)\/168 - (-1)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8462408 and 2684.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 - -37366083?\nAnswer: 37366153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 294 + 165. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-8))\/((-2)\/1836). Suppose -94 = -5*l - o. Round l to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(sqrt(242) + 1) + sqrt(242) + -1)**2.\nAnswer: 1320*sqrt(2) + 8812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182 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: Suppose 0*a - 5*w = -4*a + 184, -138 = -3*a + 4*w. Let n be a\/6 + -1*1\/(-3). What is the derivative of 5 - 9 + 29 + 13*u - n*u wrt u?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g + 6128402 = 24455427. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53208490\/11 or 4837135?\nAnswer: 4837135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*l + 422*l + 335*l + 56*l in the form q*l + b and give q.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 3 - (16 - 17). Suppose -34 - 8 = -l + q, -v*q = 4*l - 161. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 4)\/(-1 + 2). Let h = -20 + 29. Let l = -4\/13 - -29\/52. What is the biggest value in h, l, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**5 - 2*l**5 - 2*l**5)*(1 - 3 + 4 + 0 + 2 + 0 + (1 - 1 + 1)*(-1 + 4 - 1) - 2 - 1 + 4 + 1 - 3 + 3 + 2 + 3 - 4) - l - 2*l**5 + l.\nAnswer: 16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/6 - (-12)\/8. Let l be 12\/(-3) + 7 + m. Let j(o) = 5 - 5 - 3 + o**l + 0. What is j(4)?\nAnswer: 13","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 {c: 8, r: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-32) - 1*(-14)\/4. What is the greatest common factor of b and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*m - 5 - 17, -3*m + 5*v = -22. Suppose m*b - b = 12. Let w(a) = b*a + 4*a**3 + 2*a - 7*a. Calculate w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4618\/9 smaller than -513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 1261*p - 1262.\nAnswer: (p - 1262)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 9}. Give prob of sequence sss.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/2 + 22*r**3 + 263*r**2 + 462*r + 441\/2.\nAnswer: (r + 1)**2*(r + 21)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.83 in 2\/47, -4, 152?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010 (base 2) to base 6.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*y - 10, 4*j = -5*y + 13. List the prime factors of -1*55*(-2)\/j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -24*o**2 - 159*o + 788. Let l be d(-9). Let m be (-4)\/6 - (-154)\/6. What is the highest common divisor of l and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 2)*(-55 - 41 - 659731*z**4 + 659728*z**4) to the form s + p*z**4 + k*z + b*z**3 + t*z**2 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335902332.\nAnswer: 2, 3, 271, 103291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/10)\/(((-6380)\/(-275))\/116)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 3. Let a be 5\/15 + 14\/(-6). Let k be m(a). What is the tens digit of 25 + (k - (-2 + 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2. Let a(m) = -m + 3. Let k be a(3). Let g(o) be the second derivative of k - 2*o - 1\/6*o**3 + 0*o**2. What is g(r(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 56 = -3*j, 4*j - j - 682*y + 685*y - 3 = 2*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*k**3 + 2*d*k**2 - 80*d*k + 40367*k**3 wrt d.\nAnswer: -3*k**3 + 2*k**2 - 80*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -141, -267, -429, -639, -909?\n\"Answer: -2*q**3 - 88*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2212 - -33176\/15. Put r, -1.2, 2 in increasing order.\nAnswer: -1.2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241364171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*q - 7, -4*q - 5*h + 18 = -14. Suppose 3 + q = 3*i, -r + 3 = -4*i. Solve -3*z - r = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1703 or -0.063964?\nAnswer: -0.063964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/105378 and -4\/49?\nAnswer: 737646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 d when three letters picked without replacement from bnbnbdnnnnnnnmnndbdn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 + 194. Suppose 0 = 3*d - 0 - t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 7 + 5 = 3*w, 2*u = 2*w - 8. Let o(m) = 7*m**2 + 12*m - 35. What is the remainder when o(w) is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6) - (-9315)\/(-22356))\/((-5)\/(-580))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21, 16, 1, -30, -83, -164?\n\"Answer: -x**3 + x**2 - x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70)*-1 - sqrt(70)) + sqrt(70))\/(sqrt(640)*2).\nAnswer: sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48\/7 + -46\/7. Which is the closest to 0.1? (a) o (b) 1\/4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4)*b)\/b*b**(-7))**(6\/13)\/(b*(b**(1\/10)*b*b)\/b*b**(-1))**(-10) assuming b is positive.\nAnswer: b**(205\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 24*f + 78 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m - 30. Let c = m + 15. Suppose -c*o - 5*k - 1 = -4*k, -3*o = 5*k - 17. Is -0.1 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52984, 52965, 52944, 52921, 52896?\nAnswer: 52869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -8*y**2 + 3*y - 9044. Let c(q) = -q. Determine -3*c(o) + g(o).\nAnswer: -13*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 0.4, 21\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - v + 2*v)*(-8 + 4*v + 8) - 7 + v + v + 28*v**2 + 8 + (-3*v + v + v)*(1 - 1 - 2*v).\nAnswer: 22*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**2*v**3 + 618*h**2*v**2 - 171*h*v**3 wrt v?\nAnswer: 18*h**2 - 1026*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/1812 and -49\/6040?\nAnswer: 18120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*k + 7 = -13, 45 = 3*u - 2*k. What is the remainder when 25 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6342152.5 - -6342124.700133. Let o = -31.6 + 3.8. Let g = b - o. Round g to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0*z**2 + 2*z**2)*(-29*z + 210 - 288 + 95).\nAnswer: -87*z**3 + 51*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 26 + v**2 - 709374*v + 2*v**2 + v**3 + 709375*v. Determine d(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 32718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a + 2. Let x be (-2)\/(-2)*(1 - 2). Let l be c(x). Solve 0 = 4*r - r - 3*v + 6, 0 = 4*r - 3*v + l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o - 65. Let m = 6684 - 6700. Determine f(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - l**3 + 570035*l - 134855*l.\nAnswer: 2*l**3 + 435180*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 6, -54, -2 in ascending order.\nAnswer: -54, -6, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -472083, -472169, -472271, -472395, -472547, -472733?\n\"Answer: -q**3 - 2*q**2 - 73*q - 472007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d)\/(d\/(d*(d**(-4\/7)*d)\/d))*(d\/d**(3\/7))\/(d**1*d) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 0.108?\nAnswer: 0.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from ffzffffzfffffffffffz?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399 - 148. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*g + 5*c + 51, 5*g - 18 = 2*g + 3*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 n when four letters picked without replacement from {n: 4, i: 10}?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Put -5, i, 6 in increasing order.\nAnswer: -5, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1158019, 1158057, 1158095?\n\"Answer: 38*m + 1157981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1750653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p - 4*r - 44, 104 = 5*p - 4*r. Let z = p + -20. Which is the third smallest value? (a) z (b) -3 (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 2:54 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17507 - -25994. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 128667.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t = -3*i - 5, 2*t = -2. Is ((-12)\/4 - 26)*(-2 - i) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/15 - 21\/(-5). Let f = -6.45 - -1.34. Let b = f + 0.11. What is the nearest to -0.1 in z, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j = 4*c - 40, 3*j + 24 = 2*c. Let s(d) be the first derivative of -d**2\/2 + 5*d + 1. Give s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -36. Let c be (-4)\/(-4) - z\/2. Solve -5*p + a + 0*a + c = 0, -3*a + 15 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) 0.3 (c) -48 (d) -6483 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*p + 744*p + 13988 = -13780 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:08 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20888, -42771, -64654, -86537, -108420, -130303?\nAnswer: -152186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 22, -12\/659 in increasing order.\nAnswer: -12\/659, 0, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**6\/6 - y**5 + 9*y**4\/4 - 7*y**3\/3 + y**2 - 2. Solve x(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(147) + -2 + (1*sqrt(147)*6 - sqrt(147)))*-2 - -4*((sqrt(147) + 1)*2 + sqrt(147) + -2)) + 4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, e: 2, t: 2, s: 1, h: 1}. Give prob of picking 1 e and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -46, -1751, 6?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**3 + 16*s**2 + 5*s - 9. Let t(n) = 8*n**3 + 15*n**2 + 3*n - 7. Give -4*i(k) + 5*t(k).\nAnswer: -4*k**3 + 11*k**2 - 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 7, 1 in increasing order.\nAnswer: -13, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922 - 4686 - 7396 = 226*r + 146*r for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvglgvglvgv?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/22)*m*m**(4\/3)*m assuming m is positive.\nAnswer: m**(229\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183754849?\nAnswer: 183754849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-16))\/(2\/(-8)). Factor 0*l**5 - 2*l**5 - 6*l**2 - 2*l**b + l**5 + 6*l**4 + 3*l.\nAnswer: -3*l*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 21 = -2*z, -5*z - 20*v + 55 = -17*v. Suppose 0 = -z*b - 24*b - 160. Put -1, -2, b, 4 in descending order.\nAnswer: 4, -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 - 5*o**2 - 2*o**2 + 3*o**2 - 5*o**2 + 0*o**2 + (3*o - 4*o - 2*o)*(-6*o + 6*o + 7*o) + 8*o + 2*o + o**2 - 8*o + 3.\nAnswer: -31*o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0654 take away 6579638.255?\nAnswer: -6579638.3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1411753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - c**2. Let o be w(-2). Let l(z) = -5 - z - o - z. What are the prime factors of l(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58688237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3519, -4836, -6149, -7458, -8763?\nAnswer: -10064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.917356us in hours?\nAnswer: 0.00000001164371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2) + (-75)\/27)\/((-129)\/387)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 24 = 8*x. Let k(w) = w**2 + 3*w + 3. Let m be k(x). Suppose 5*r + 5*h - 155 = h, 4*h - 85 = -m*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 5, -1, 51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*j - 2278 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 1:27 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 5*o**2 - 8*o + 9. Suppose -2*a - 222 = -234. Determine b(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyrfjby. What is prob of picking 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0116443 rounded to 5 dps?\nAnswer: 0.01164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 27*l**2 - 17*l + 23. Let d = 132 + -120. What is the tens digit of i(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 111*x - 6229. Calculate a(65).\nAnswer: 986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 312*n + 2836. Calculate l(-9).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/11 + 1216*w**2\/11 - 4890*w\/11 + 3672\/11.\nAnswer: 2*(w - 3)*(w - 1)*(w + 612)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 363420517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 1692?\nAnswer: 18612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - o + 93. Let k be b(0). Suppose 0 = -4*c + 23 + k. Suppose -2*t = m - 61, t - 2*m + m - c = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -21*i - 15 - 4*i + 11 - 16 + i**3 + 23*i**2. Let m be p(-24). Solve -9 = -b - 2*b - 5*j, 4*j = m*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(133) - sqrt(133)) + -5*(sqrt(133) + -3*sqrt(133)))\/((sqrt(294)\/sqrt(6))\/sqrt(7) + sqrt(35)\/sqrt(5)*1).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383413.2 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*c + 150424875 - 42344875. Round c to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*f**2 + 107*f**2 + 3 - 3.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 20 = 3*b. Let v(m) = -m**3 - 6*m**2 - 6*m - 3. Let q be v(b). Solve 7 = -a + t + 2*t, -3*a = q*t + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 18 = -2*b, b = -i + 5 + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 13*g**5\/20 - g**4\/12 - 25*g**2\/2 + 26*g. Let s(v) be the first derivative of a(v). What are the prime factors of s(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 544, 4282, 14446, 34252, 66916, 115654, 183682?\n\"Answer: 536*m**3 - 3*m**2 - 5*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u - 2*u - 184 + 3*u + 7*u in the form v*u + s and give s.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -7 + 5. Let c(m) = m**3 - m - 1. Let k be c(-1). Sort f, -6, k in ascending order.\nAnswer: -6, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**2 + s. Let p be g(-1). Let b(d) = d - 4. Let r(n) = 13*n - 25. Let u(y) = 9*b(y) - r(y). What is u(p)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**8\/336 - 59*w**6\/120 - w**5\/60 - 5*w**4\/4 - 1053*w**2. What is the third derivative of g(r) wrt r?\nAnswer: -60*r**2 - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2*g**3*x + 2*c**2*g*x - 3*c**2*x - c*g**2*x + 5*c*g**2 + 943*g**3 - g**2*x wrt g?\nAnswer: 18*c**2*x + 5658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-80))\/(3\/15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 33*t**2 - 142*t - 10. Calculate a(37).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000001 - -1000110110101?\nAnswer: 111111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/173 in -1076, -4\/5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776091 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 7*b = -3*j - 15, -5*b - j - 21 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 8. Solve -4*u = -0*u + t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97728 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: Divide -1302126 by 7.\nAnswer: -186018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or -3572?\nAnswer: -3572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and (-2 + 4)*27\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 0*x + 4*x = -13, -25 = 5*a + 5*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -17*k**2 + 5224*k - 10473. Let d(u) = -10*u**2 + 5224*u - 10470. Let o(v) = 3*d(v) - 2*i(v). Suppose o(q) = 0. What is q?\nAnswer: -1308, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219828161.\nAnswer: 3, 23, 653, 27073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*d + 2*q - 29, 3*q + 8 = 4*d. Suppose 9 - d = 4*v, 5*m = 5*v + 2050. What are the prime factors of m?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 484 and 8.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336784 is divided by 52?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 7, u: 3}. Give prob of picking 3 u and 1 m.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 6*r + 7. Let t be q(6). Let j = t + -4. Solve 3*n - v - 12 = 2, j*n = 4*v + 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/85*55*(-2)\/6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 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: Calculate prob of sequence qa when two letters picked without replacement from eatqept.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36707 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 238\/(-72) + ((-190)\/45 - -4) and -35\/76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.9 - -16.7. What is the smallest value in 4, -0.5, x, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 6*m - 8. Is 7 a factor of s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 390\/(-9) + 4\/(-6). Let m = h - -49. Is 6849\/3 + m + -9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73195 divided by 8.\nAnswer: 73195\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2366*a**2. Let u(z) = 4191*z. Determine q(u(x)).\nAnswer: -41557562046*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.14493 nanometers to micrometers.\nAnswer: 0.02814493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12844.06328 + 12844. Sort a, 1, -2 in increasing order.\nAnswer: -2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 13 - 5)*(-6*w + 4*w - 4*w).\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + 1*sqrt(2057) - 2*(sqrt(2057) + (sqrt(2057) - (sqrt(2057) + 0)) + sqrt(2057)))**2 - (4 + (sqrt(2057)*2)**2 + 2 + sqrt(2057) + 4).\nAnswer: -671*sqrt(17) + 28838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jonjjhnhhonkjhnhhhhh. What is prob of picking 2 j, 1 k, and 1 n?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*b + 4*b - 16, 0 = 2*b + 5*q - 20. Suppose 0 = a - 2*a - 1. Put -2, b, a, 3 in descending order.\nAnswer: 3, b, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036\/(-196) - ((2 - 9) + 0 + 9 + -7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 20 = -46*g, -9*g - 4*g + 23*g - 6*g = 5*h - 159 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 268159 and 4.\nAnswer: 1072636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 1, p: 1, g: 2}. What is prob of picking 1 w and 1 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*x - 16. Suppose 18*i + 304 = 26*i. Calculate the remainder when i is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23139, -24338, -27601, -33960, -44447, -60094, -81933?\n\"Answer: -172*n**3 + 5*n - 22972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3495 + 31198. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72738*c**4 - 148*c**3 - 15586067 wrt c?\nAnswer: -290952*c**3 - 444*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -718b4 (base 12) to base 14.\nAnswer: -3bdd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -150 - -152. Solve m*z + 2 = -4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**4\/24 - 5*j**3\/6 - j**2. Let p(b) = 1. Let u = -964 + 965. Give u*g(m) + 6*p(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472978388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = 2*s - 8, -24 = -s - 5*z. Solve 7 + 9 = -s*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.057 or -3787?\nAnswer: -3787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 4. Let c be h(-6). Suppose 0 = -5*r + 4 - c. What are the prime factors of 2\/4 - 9\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15)\/((1196\/(-1472))\/(45\/(-24))).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**2*u - 42577*t**2 + t*u + 6778*t - 2*u wrt t.\nAnswer: -4*u - 85154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -432 + 2?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 + 13*b**3 + 21*b**3.\nAnswer: 43*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*f = 251*f + 7 - 53 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**33\/i))**(-1\/7)\/(i\/i**(-12)*i*i\/(i**50\/i)) assuming i is positive.\nAnswer: i**(270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2008650 - -374\nAnswer: 2009024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2097*k + 692*k - 66987 = 308*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233 + -233. Which is the second smallest value? (a) -0.5 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from auauuuuuuuu?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2 - 18 = 0. Suppose -v + 16 = j*z, z + 2*z + 2*v - 7 = 0. Suppose -p + 12 = p - 3*c, z*p + c = -4. Solve p = d - 2*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 7, q: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1659*h + 1656*h + 3*y + 172131 = 0, -3*h + 172156 = 2*y. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*w, 5*u - 40 = -w - 2*w. Let d = u + -3. Suppose -2*f = -6 - 0, -2*l = -4*f - 2. Solve 5*s - l = -d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 110*c. Let r(q) = -q**2. Give p(r(h)).\nAnswer: -2*h**4 + 110*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 4*w + 54. Factor 0*r**w + 0 + r**3 - 1\/2*r**4 + 0*r - 3\/2*r**5.\nAnswer: -r**3*(r + 1)*(3*r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -15 + 1 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157.14 - 2.86. Let o = -156 - w. Let j = 4 + -5. Which is the biggest value? (a) j (b) 0.04 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 - -134)\/(3*14\/(-315)). Which is smaller: -4653\/5 or p?\nAnswer: -4653\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5e8 (base 15) to base 3.\nAnswer: 1210010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:19 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-1020)*8*15\/10.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {d: 3, a: 13}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s**5*z**2 + 48*s**4*z**3 - 53*s*z - 16*z**3 + 4*z**2 wrt s.\nAnswer: 160*s**3*z**2 + 576*s**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/(-50))\/(-1))\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/75 - (-56)\/(-60). Let x be (-68)\/144 + (-1)\/(-4). Let g = -0.4 + -1.6. Which is the nearest to 1? (a) g (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z - 6. Is 0\/1 + 193 + z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 120*l - 200 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25608 - 25490. Calculate the remainder when 1036 is divided by d.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:13 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3656836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1189 and -0.5.\nAnswer: 594.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d + 5 = -s + 33*d, 3*s + d + 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/12 + q**3 + 15*q**2\/2 + 13*q. Let l be f(6). Suppose -4*n = 2*x - 150, 2*n - x + 6*x = l. Is n a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-2)*16*(-4)\/(-288)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1248 - 139. Let z = g - -3902. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13779248.3 - -6.\nAnswer: -13779242.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21303\/17 + -1253. Let o(w) be the second derivative of 0 - b*w**2 + 1\/17*w**3 + 8*w + 5\/102*w**4. What is z in o(z) = 0?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 16*w**2. Let q(t) = 22*t. Calculate q(x(d)).\nAnswer: 352*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*10\/105*(-7)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 2*-5137)*((-102)\/18 - -6). Is -3427 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 13) in base 15?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4 - 403674*t**3 - 13576161639*t**2 + 217310633496*t - 380313390996 = 0. Calculate t.\nAnswer: -67287, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513050976.\nAnswer: 2, 3, 163, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32015409 and 12.\nAnswer: 128061636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467501 is divided by 2670.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-1271) - (-824)\/(-82)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(180)\/(sqrt(40)\/sqrt(4))) + sqrt(18))\/sqrt(6).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-90)*2\/(8\/10).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**7\/840 + n**4\/12 + n**3 + 1. Let x(j) be the third derivative of a(j). What is the derivative of x(l) wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5096177851.\nAnswer: 131, 709, 54869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5 - 4*z + 0*z + 3 - 2. Let g be p(-7). Let o be (g\/(-80))\/(6\/8). Which is the nearest to o? (a) -1\/10 (b) -0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 283 = -893. Suppose -5*i + 270 = -a. Does 42 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssssssesess.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6033.196 + -6018. What is f rounded to one decimal place?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 20104?\nAnswer: 20104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -1112012220?\nAnswer: 1112012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**2*x**3 + 51923*d**2*x**2 - 26*d*x**2 + 1525*x**3 wrt d.\nAnswer: 8*x**3 + 103846*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 64*k + 1736. Let w be c(-27). Put -3, w, -21, 5, 0 in descending order.\nAnswer: w, 5, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - 16. Let a = l - -25.93. Let p = -0.07 - a. Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -82, -56, -20, 20, 58, 88?\n\"Answer: -m**3 + 11*m**2 - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 213.62 + -256.465. What is l rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0 (c) -0.2 (d) 1\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 6*t**2 + 2. Let v be j(-6). Suppose v*z = 3*z + 2, -5*z = 5*k - 5. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88602089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 27*i**2 + 41*i + 2915. List the prime factors of o(-56).\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.6636 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 6. Suppose -i*x + 2*l + 30 = x, 4*x - 37 = -5*l. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 3\/6)*-2. Let j be (-8)\/(2*u\/(-18)). Let w = 35 + j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**3\/3 - 359. Let m(v) = -2 - 32*v - 1 - 2 + 2. Let p(o) = -1537*o - 145. Let z(l) = 145*m(l) - 3*p(l). What is w(z(b))?\nAnswer: 841*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -194, 65, 324, 583?\n\"Answer: 259*x - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17.474725710611 and -0.03.\nAnswer: 17.444725710611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 852750121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -3 - 26\/(-6))\/(35\/(-315))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljmlhjtlkhlhlhhthttt. Give prob of sequence kh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -27. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5082 = -19819*g + 20050*g for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 51*l**2 + 4*l + 3. Let n be y(-2). Suppose 4*u + 3*i - 867 = 0, -2*u + 3*u - 5*i = 211. Suppose 5*o = n + u. What are the prime factors of o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -607*f + 13*f**2 + 5*f**3 + 587*f + 2*f**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -443.799996527 - -443.8. Round t to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 0*x - 3 + 4*x. Let y be u(6). Let c = -8 + y. What is the greatest common divisor of c and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, -13 in descending order.\nAnswer: -1, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/48*10 + 0 + 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - -15 - (-3 - -2). Suppose 4*w = -3*g + b, -g = 2*w + 4*g - 18. Solve -4*v + w*u = -8, 17 = v - 0*v + 4*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1001 = -10*b - 3*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 5. Let n(h) = h + 2. Let v(y) = 2*d(y) - 5*n(y). Let r be v(2). Let m be (0\/(-3 + r))\/2. Sort m, -1\/7, 4 in decreasing order.\nAnswer: 4, m, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*i - 62*i - 240*i + 16*i.\nAnswer: -353*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - y + 3*y. Let d(h) = 2*h. Give f(d(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 6*p**2 - 2*p - 4. What is x(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 5, -5, 0.2, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 470005.8l?\nAnswer: 470005800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by -107.\nAnswer: 67\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.048435 - 2.03. Round y to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 45. Suppose n = -5*m + 8*m. Suppose -m*d - 60 = -16*d. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-2*3\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -6*q + 12. What is the nearest to -1 in 1\/9, 4, q?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 247658*i. Let m(s) = 45*s**2. What is m(p(a))?\nAnswer: 2760051823380*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 7*g**2 - 9*g - 5. Let x be s(-8). Let c = x - -27. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/3 - 16*d**3\/3 - 468*d**2 - 5184*d - 17010 = 0.\nAnswer: -9, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 3 + 0 + 1)*((-152 - 136 + 69)*(3 - 1 - 1) - 3 + 4 - 3).\nAnswer: -221*o**2 + 442","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1216824176 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13861 is divided by 220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14840 and 10609116.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*k + 29 = 0, 3*s = s - 4*k + 30. Calculate the remainder when (-4)\/3*6\/(-16)*38 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42010918 and 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41296442 is divided by 56.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 5*a**2 - 8*a + 42. Let d be i(5). Let n(v) be the first derivative of -3\/2*v**d - 2*v + 5. What is the derivative of n(m) wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743 (base 14) to base 2.\nAnswer: 10110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**3 + 3*a**2 + 11*a - 23. Let r(z) = z**2 - 33*z - 67. Let p be r(35). List the prime factors of x(p).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -5*m + 11*m. Let x = m + -48. What is the remainder when 58 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 33*t - 142. What is b(7)?\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3552 by 2.\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 2:10 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11173.\nAnswer: 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0*f**2 + 0 - 1\/6*f**3 + 6*f. Give q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c - 2019 = -1235 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(78) + sqrt(78)*-1))\/(sqrt(6) + 1*sqrt(600) + sqrt(6) + sqrt(6) - sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5387 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7669, -31076, -70089, -124708, -194933, -280764?\nAnswer: -382201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 5, 19.\nAnswer: -4, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -y + 1, -3 = 4*y + 69*j - 68*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204037391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-3 - (-3 - -4)). Solve -9 = y*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 62*i**2 - 1. Let w(x) = 8*x. What is the remainder when l(-1) is divided by w(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w. Let q(y) be the third derivative of 993*y**4\/8 + 41*y**2 + 2*y. What is q(v(k))?\nAnswer: -5958*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*p + 4*p. Suppose n = 0, 0*v - 36 = -v - p*n. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/260640 and 25\/612?\nAnswer: 4430880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -5*x**2\/2 - 3*x - 198. Let z(f) = -f**2 + 14*f - 50. Let m be z(8). Calculate p(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41296\/1579572)\/(2 - 24\/27).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - v**2 - 7. Let f be t(0). Let d(m) = -m**3 - m**2 - 4*m. Let z(j) = 0*j**2 + 5*j**3 - j**3 + 7*j - 2*j**3 + 2*j**2. Calculate f*d(k) - 4*z(k).\nAnswer: -k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5*r**3 + r**2 - 11*r**3 + 4*r**3 to the form n*r**2 + u*r**3 + s*r + b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4950, 10599, 16278, 21987, 27726, 33495?\nAnswer: 39294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -10 - (-4 - 2)) + -11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**2 - 22*n**2 + 1714097*n**3 - 1714196*n**3.\nAnswer: -99*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*u + 2, -42*u = 5*l - 41*u - 35. Calculate the smallest common multiple of l and 802.\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81435445 a multiple of 2011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 828\/54 - (-1)\/(-3). What is the highest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37965 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 12688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 50, 4.5, -3\/8 in decreasing order.\nAnswer: 50, 4.5, -3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -285059599?\nAnswer: -570119198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 3*n - 3. Let g be v(-4). Let l = g - -3. Let p be 85\/15 + l\/6. Sort p, 3, 4 in descending order.\nAnswer: p, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 41 + 12 = -10*w + 5*w, 0 = m + w + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11699085 by -15.\nAnswer: -779939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 59221c?\nAnswer: -592226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15090 and 465240?\nAnswer: 234015720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.283 (b) -2 (c) -4 (d) -1\/5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39078 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4\/2 - 2961*v**3 + 10515618*v**2 - 42026892*v + 42015024 = 0. Calculate v.\nAnswer: -3814, 2, 1836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 5*k**2 + 289*k - 53. What is the lowest common multiple of 48 and d(19)?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 + 340. Let t(p) = -f*p + 46*p + 45*p + 53*p. Let s(m) = -m - 17. Determine s(t(k)).\nAnswer: 2*k - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43472 is divided by 10856?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 558862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xepppyyypooppxy. What is prob of sequence op?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 230?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.59999015 + -22.6. Round h to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -381938*z**2\/15 + 10488*z\/5 - 216\/5 = 0?\nAnswer: 18\/437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1008 - 1011. Let j(m) = 3*m**2 - 2*m - 1. Let a(c) = -c**2 + c + 17 - 17. Calculate t*j(v) - 8*a(v).\nAnswer: -v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -7058 and 0.9617.\nAnswer: -7057.0383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46929072.001276 - 46929271. Let b = x + 199. What is b rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 + n - 4. Let q be c(6). Let z(t) = 3*t + 1. Let i be z(q). Solve -5*m + i - 22 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6613 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39216546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/30 - -13\/60. Put -0.2, s, -21 in ascending order.\nAnswer: -21, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.2194108 microseconds?\nAnswer: 0.000000000025687625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.5 (b) 0.4 (c) -96 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 493*z - 51167. What is y(-344)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36895, 295018, 995633, 2359984, 4609315, 7964870, 12647893, 18879628?\nAnswer: 26881319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106723427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j = -452 - 197 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + -3 + sqrt(1008))**2*-4*-6 + 1 + 4.\nAnswer: -99163 + 11520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -35, -90, -171, -278, -411?\n\"Answer: -13*v**2 + 10*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3773788 by -7342.\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 - i. Let l = -6 - -5. Calculate the least common multiple of 3 and r(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18497140 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 - 61 - 19 - 114 + 32)*(-30*d + 37*d + 16*d).\nAnswer: -6877*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 1\/6, -34, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3762638170.\nAnswer: 2, 5, 83, 4533299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/324*3\/((-84)\/(-64)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 3759.3, -43?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*q**4*x**2 + 13*q**3*x**3 - q**2*x**3 - q + 6433*x**3 wrt q?\nAnswer: -2712*q*x**2 + 78*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(58000\/(-360)))\/(9\/(-30)*2)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**2 - 13*l - 24. Calculate m(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68.6 - 76. Let v be (-1)\/(8\/(-6)) - 12\/192*8. What is the nearest to f in 1, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574880 divided by -78744?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 6*o + 9. Suppose -144 = -12*x - 6*x. Calculate r(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 110583576?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005728048 rounded to 6 decimal places?\nAnswer: -0.005728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19030111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 + -80. Let y(g) = -2*g - 8. Let c be y(n). Let p = -604\/9 + 67. Sort c, p, 0.3 in decreasing order.\nAnswer: 0.3, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -5 - (3 - 4). Put u, -4, 4 in decreasing order.\nAnswer: 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*s + 192 = -7*s, 0 = -5*p - 2*s - 942. Put 0.5, 5, p in descending order.\nAnswer: 5, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddee when four letters picked without replacement from {d: 16, e: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/12 - 0 - -2 and (46\/(-44) - -2) + 4.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938.63 rounded to the nearest 10?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*q**2 + 699*q**2 - 22 + 1.\nAnswer: -2*q**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = s + 15, -2*s - 2*l = -10. Let q = s - -5. Let t be ((-32)\/12)\/(8\/12). Sort 4, q, t.\nAnswer: t, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 43*h - 324. Let r be m(-32). Solve 188*w = 184*w + r for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-15))\/(22\/(-10)). Let v = -0.47 - 4.63. Let k = 0.1 + v. What is the closest to h in k, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*v - 42*v - 4*v)*(-3*v**3 + 0*v**3 + 4*v**3)*(-12 + 7 + 9).\nAnswer: -500*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 6*p. Give u(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 72 + -37 + -51.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000767832 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 0.5 (c) -2\/9 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**5\/20 - q**4\/2 + 7*q**3\/6 - 2*q**2 - 58*q. Give y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h**2 + 8*h**2 - 2601 + 2602. Let s(k) = -6*k**3 - 8*k**2 + 2*k + 8. Calculate -8*l(y) + s(y).\nAnswer: -6*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 18*l**2 + l + 1. What is the remainder when 67 is divided by r(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 29*d - 15. Let u = 4 - 19. Let b be v(u). Suppose 5*f - 50 + 19 = -h, 3*f - 5*h = 41. Solve 4*n - f + 3 = b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = -6. Suppose 0 = -a*q - q + 60. Let r(j) = -q*j - 4*j**2 + 15*j. Let k(d) = -d. Determine r(k(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 570, 4540, 15294, 36222, 70714, 122160?\n\"Answer: 565*f**3 + 2*f**2 + 9*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.37193 + -64\nAnswer: -65.37193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 11*t + 3. Suppose 0 = y - 4, y = 4*u + 1626 + 202. Let p = u + 465. What is f(p)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4062*a + 4214*a = 4408 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5389 - -13374. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*3*1\/3. Suppose 4*m + 14 = -4*a - 22, 0 = -5*a + g*m + 5. Let y(r) be the second derivative of r**3\/6 - r. Give y(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76.52 - 66. Let g = h + -9.983. Round g to 2 decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -23. Let t be (9\/(-2))\/(-6*8\/672). Suppose -3*r - w = -66 + 21, 5*w + t = 3*r. Do u and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1508 and -69\/56492?\nAnswer: 734396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 157127259 to the power of 1\/2, to the nearest integer?\nAnswer: 12535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -66*k - 2849. Determine b(-43).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 4*g + 2*a - 12, 4*a = 2*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -20. Let t(b) be the first derivative of -1 - 1\/9*b**x + 4\/27*b**6 + 0*b - 1\/6*b**4 + 10\/27*b**3 - 2\/9*b**5. Let t(z) = 0. What is z?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7621, -7806, -8003, -8218, -8457, -8726?\n\"Answer: -x**3 - 178*x - 7442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (6 - 8 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11084.07359 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88082494 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/48 and -27\/397.\nAnswer: 19056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -10245 greater than -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 897024988*c**3 - 4*c**2 - 15563108 wrt c?\nAnswer: 5382149928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/9565 and -42\/105215?\nAnswer: 105215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/6)\/((-36)\/54))\/((-1)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -92*y + 8. Let o be n(-2). Suppose -3*m + o = -3*r, 2*m = m - 5*r + 82. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*q**2 - 7*q + 7*q + (2*q - q - 3*q)*(-2*q + 1 - 1) + 15*q + 9*q**2 - 15*q)*(4*q - q - 2 - 5*q).\nAnswer: 8*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1 = 5, 5*g + 34 = 3*o. Suppose -x = 4*n - 7*n + 4, -2*x - 2*n = -o. Determine q so that 2*q**3 + 0*q**3 - q**x + 3*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeci when four letters picked without replacement from {i: 4, c: 2, y: 1, e: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15882 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 + 0*a**2 + 0*a**2)*(-2*a - 16*a - 26*a).\nAnswer: -44*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.250623 less than -50885797?\nAnswer: -50885797.250623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-3 + (-50)\/(-15)). Let k(a) be the second derivative of a**5\/20 - a**4\/2 - a**3\/2 - 11*a**2\/2 - 5*a. Is k(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*p**3 - 1 - p**2 - 16*p**3 + 13*p**3 as c + q*p**3 + s*p**2 + o*p and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z**9\/z*z*z)\/((z*z\/(z\/z**(-1\/4)))\/z)**(-7\/4) assuming z is positive.\nAnswer: z**(57\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -24. Suppose -i = -2*r + 4*w + 139, w = -3. Let g = 135 - r. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3881590 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -284307 bigger than -284453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*k + 18, -3*h - 5*k - 12 = h. Let b(i) = 6*i**h - 3*i + 4*i**3 + 2*i + 8*i - 5*i**3. Let n be b(7). Which is bigger: n or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 187*c**4\/6 - 445*c**2\/2 + 277*c. What is the first derivative of m(j) wrt j?\nAnswer: 748*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*q + 6*q**3 + 7*q**3 + 26*q wrt q.\nAnswer: 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5742895 divided by 1?\nAnswer: 5742895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 30\/187, 0, -4, 1\/6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 + 8860*b**4 + 398045*b**3 + 1839850*b**2 + 2865980*b + 1415320 = 0 for b.\nAnswer: -1726, -41, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 106*g - 1143. Is 51 a factor of t(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:28 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - 0) + 65\/13. Let f be (-15)\/(-2)*4\/3. Suppose -2*s = -f + 2. Solve v*p = p + 3, 0 = s*j + 4*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 q when four letters picked without replacement from jqjqqjj.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -56319, -56330, -56349, -56376, -56411, -56454, -56505?\n\"Answer: -4*a**2 + a - 56316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 192879 times -0.1?\nAnswer: -19287.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000184951405 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -12, 3*v + 3*t + 111 - 453 = 0. What are the prime factors of v?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.34 times -206912?\nAnswer: -3380942.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 18 - 24. Let c = k + 33. Calculate the remainder when c is divided by (-2 - -11)*2\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 0*r + 0*r - 90*r**4 + 27*r**5 + 90*r**4 + (-r + r - 2*r)*(3*r**4 + 1 - 1).\nAnswer: 20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 86, 88, 92, 98, 106, 116?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (181 + -1975)\/(-69) - (-1 + 19) - (-602)\/(-76)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 239*h**2. Let b(v) = -2*v. Give b(s(x)).\nAnswer: -478*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -49763062500041 minus 0.3?\nAnswer: -49763062500041.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (846\/54 + -13)*(-2)\/(-24).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -19. What is the lowest common multiple of 9 and j?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.31 (b) -2\/5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 13 = 17. Suppose -x + 5 = w. Solve -3*r + 2*s - 5*s = 12, -x*s = 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -5, 66, -1\/6, 0.4 in descending order.\nAnswer: 66, 0.4, 0, -1\/6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/697 (b) 2 (c) -3\/5 (d) 2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - 2*f**3 + f**3 + (0*f + f - 2*f)*(-2*f**2 + 0*f**2 + 3*f**2) - f**3 + f**3 + 2*f**3 + 0 + 0 - 2*f**3 + (4*f - 4*f + f)*(4*f**2 - 5*f**2 + 2*f**2).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 + 0.13. Let f = 0.6 - 0.7. Which is the biggest value? (a) f (b) 2\/9 (c) -3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17775 or -693217\/39?\nAnswer: -693217\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, z: 2, s: 6, y: 1, b: 1}. Give prob of picking 1 z and 3 p.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2781608262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r**2. Let w(p) = p - 1. Let d(l) = -l + 3. Suppose 15 = -5*u - 0. Let t(g) = u*w(g) - d(g). What is t(a(b))?\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m - 526*m**2 - m**3 + 1048*m**2 - 513*m**2 as d*m + k*m**2 + n*m**3 + a and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*l - 11, -3*l + 29215 = 2*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 455.7 - -1373.3. Let p = x + -1911.9. Let r = p - -83. What is the nearest to r in 1.8, 3, 4?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10347 and 20694?\nAnswer: 20694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:47 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 7:32 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-2*q**2 + 6*q**2 - 3*q**2) + (1 + 0 + 1)*(4*q - 2*q + 0*q)*(52*q - 244*q - 417*q).\nAnswer: -2435*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2, -j = -2*t - 5*j - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, y: 1, i: 1, e: 1}. What is prob of picking 1 b and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9065340 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 - 8*z**2 - 11*z**2 + 30*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + (-309)\/(-45) - 2. Let f = 797 + -4795\/6. Let c = -5\/2 - f. What is the nearest to c in 0.4, m, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*w + r + 101, 53 = 2*w - 3*r + 32. Suppose -2*k + 6 = 3*f - f, 5*f = -2*k. Let v be 3 - f\/(-4)*0. What is the greatest common factor of v and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18354\/3135)\/(-161) - (-2308)\/(-55)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:42 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*i - 1132, 5*w - 4*i - 2414 + 602 = 0. What is the smallest common multiple of 2208 and w?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 32 = 5*z, -z + 5*t + 47 = 71 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 113.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h\/(h*h**14))*h)\/h)\/h**20)**(-3\/2) assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6918*f. Let m(s) = 9*s. What is t(m(x))?\nAnswer: -62262*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 96350.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 23*p**2 + 11*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-55)\/(-2)*4\/5. Suppose 0 = -2*n + 2 + f. What is the remainder when 21 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, n: 2, y: 4, u: 1, p: 3, m: 1}. Give prob of picking 2 p, 1 u, and 1 m.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.732868761 to 2 dps.\nAnswer: -4.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = -2*y - 14, 2*p - 2*y - 8 = 0. Let v be (-1 - -2)\/1 + 2. Let k(i) = 3*i**2 - 4*i**2 - 2*i + 0*i**2 - 4 + v*i**2. Give k(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 249. Let s be (40\/(-24) + 2)*-21. What is the remainder when l is divided by s - 3*(-152)\/24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*n - 24 = 0, -8*h - 62 = -3*h + 9*n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-15)\/12 + 0. Let m = -23\/12 - y. What is the biggest value in -0.1, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 24*a**2. Let b(g) = -5*g. Determine u(b(h)).\nAnswer: 600*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37.7422 and 0.7.\nAnswer: -26.41954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619200 is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -358, -17, 1, -5 in ascending order.\nAnswer: -358, -17, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1 + sqrt(99) + 0 + 2*1*sqrt(99))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78*b*d*j**3 - b*d + 2*d*j**3 + 27*d wrt b?\nAnswer: -78*d*j**3 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 0, 247*u - 245*u = -9*s + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -13. Let d = 19 - 15. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**3 + 2*f**2 + 22*f - 1. Let m(i) = i**3 + i - 1. Calculate 3*m(a) - x(a).\nAnswer: -2*a**3 - 2*a**2 - 19*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = 1634*q - 1656*q + 67. Let j(f) = -f**3 + 13*f**2 - 30*f - 11. Give j(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s + s**2 + 2 + 0*s**2 + 0*s - 2*s**2. Let c be t(-4). Solve 0*m = c*m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + -1.3. Which is the biggest value? (a) -2\/43 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 1. Let w(c) = 14*c**2 - 2*c - 14. Determine -12*q(z) - w(z).\nAnswer: -2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**4\/24 - 13*g**3\/6 + 4*g**2. Let p be c(0). Round p to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Suppose -8*u - 14 + 22 = 0. Let w be (u - -3) + (-112)\/16. What is m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737 divided by -318?\nAnswer: -737\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -2\/17 (c) -2\/7 (d) -12\/91 (e) 0.1 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 14. Suppose -3*q = q - t. Suppose 4*r + q*c - 107 + 20 = 0, -5*c - 11 = -2*r. 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: Two letters picked without replacement from {r: 1, u: 7, e: 5, n: 1, g: 2}. What is prob of picking 1 n and 1 r?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -42502318.\nAnswer: 46752549.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.8 (c) -48 (d) -0.5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 4*a**3\/3 - 6*a**2 + 30*a + 14. Is o(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-205)\/(-246))\/((-15)\/27))\/(39\/130).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -1178?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 10. Suppose -2*o = -y*o. Suppose o = 2*r + 4, 2*g + r + 12 = -0*r. Let a(j) = -j**3 - 5*j**2 - j - 7. Determine a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 25 = y - 545, 5*x + 25 = 0. Calculate the remainder when y is divided by 107.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3382.132l to millilitres.\nAnswer: 3382132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/25*-4 + (-178)\/(-10). Solve 4*p = -q*p + 147 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2837 is divided by 768?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -44, -76, -110, -146, -184, -224?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - 10 + 2*o + 8)*(-495 + 2882 + 2278 + 3072).\nAnswer: -23211*o - 15474","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66423978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(-32 + 32 + 28*c)*(3*c + 4 - 2 + 0 + (4 + 0 - 5)*(-c - 5*c + 4*c) - 2*c + 2*c + c) to s + j*c + y*c**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:00 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + v = -17, -t + 9*v + 1 = 4*v. Let b = -512 + 513. Put -3, b, t in decreasing order.\nAnswer: b, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 - 682*l**2 - 312*l - 5135. Determine j(171).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:31 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4368774 is divided by 134.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54681 is divided by 24207.\nAnswer: 6267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24258637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 5*i + 3. Suppose 3*u + 5*k = -15, -k + 1 = 2*u + 11. Let o be t(u). What is the third derivative of -2*w**2 - 4*w**3 - w + w + w**o wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1 - (-84)\/104)*(-764)\/955.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 303069, 303068, 303069, 303072, 303077, 303084?\n\"Answer: t**2 - 4*t + 303072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 125984*y - 125980.\nAnswer: -4*(y + 1)*(y + 31495)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 15. Let n be t(5). Suppose 3*o = -n*w + w + 1842, -o = -5*w - 628. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256020 and 2652?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n - 2*a + 19, 38 = 5*n - 3*a. Let y(r) = -r**3 + 7*r**2 + 3*r - 11. What is the lowest common multiple of 12 and y(n)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201c040 (base 13) in base 4?\nAnswer: -211002100303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 312, -14619 in decreasing order.\nAnswer: 312, 2, -14619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -34 - 19 - f**2 + 64 + 11*f. Determine r(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 181, 33, 3 in descending order.\nAnswer: 181, 33, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 122333 (base 4) in base 16?\nAnswer: 6bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145004 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 + 15.6. Let j = p + -26. Let h = -7 - j. What is the second biggest value in h, -1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -143269.\nAnswer: 5\/143269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 119.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 15626?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1*119)\/(((-37)\/148)\/((-21)\/6)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = o + 5, -2*f = 2*o + 2*o - 24. What is the third derivative of -4*d**5 + 7*d**2 - 9*d**2 + d**o wrt d?\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 902023*s + 345. Let k be v(-15). What is k rounded to the nearest 100000?\nAnswer: -13500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 12:52 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 497 - ((-9 - -6) + 0). Suppose 7*a - 27*a = -p. Solve -2*r = -5*r + 3*c + 30, r = 4*c + a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 5963 (c) 4\/7 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*g + 93. Let o = 1191 - 831. Suppose g*v = 35*v - o. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84357 = 386*r + 1118*r + 3157*r + 120727 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 77*t - 604. Let c be a(-9). Suppose 0*o - 10 = -o + n, 2*n = 3*o - 26. Suppose -296 + c = -o*r. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -696?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 7*l**2 + 7*l - 10. Let s(r) = 2*r**2 + 5 - 3*r + 3*r**2 - 8*r**2 + r**3. Let j(f) = 3*n(f) + 7*s(f). Find the first derivative of j(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/7112 and 57\/28.\nAnswer: 7112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/8, 0, 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41004809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.012 (b) 0.5 (c) -0.8 (d) -0.5 (e) 220\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.4 (b) -18 (c) -0.1 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.3873 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20895 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g. Let m be w(1). Suppose -4 = -2*a + 4*x, m*a + 3*x - x - 46 = 0. Let c be (0 - 0)\/(a\/4). Solve c = 5*k + 2*d - 20, -3*k = -2*k + d - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13134225?\nAnswer: 3, 5, 13, 19, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/403 + -17308\/8463. What is the common denominator of g and 20\/(4 - 44) + 17\/(-70)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - (6 + -13)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuzubbucy. What is prob of sequence cyzb?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04755 rounded to three dps?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 17*r**5\/60 - r**4\/12 - r**3\/6 - 45*r**2 - 1. Calculate u(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 53. Solve 0 = 3*a + 5*f - 4 - 1, o*f = -8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-105868)\/18)\/(-7) - ((-32)\/18 + 2) is divided by 68?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1293 - -1294. Let k be 5*(2 + 6\/(-5)). Let l be (16\/(-44))\/((-2)\/k). Is l at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 466 + -471. Let s(o) = 5*o**2 + 5*o**3 + 6 + o**3 - 5*o**3. What is s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 1. Let h(i) = 3*i**2 + 3*i + 4. Suppose 5*y - 6*q + q = -45, -q - 11 = y. Let w(n) = y*t(n) + 5*h(n). Factor w(s).\nAnswer: 5*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/(-12) + 1\/3. Suppose -u*i + 8 = -4*c, i = 5*c - c - 8. Solve z + 5*n = 27, -4*z + 4*n - 3*n = -c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**5\/20 - 7*a**4\/6 + 7*a**3\/3 - 5*a**2\/2 + 4*a. What is the units digit of w(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 0*x**2 + 0*x**3 - 5\/2*x**4 + 0*x**6 + 54*x - 61\/42*x**7 - 1 + 0*x**5. What is the third derivative of c(b) wrt b?\nAnswer: -3660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 655605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17856, -35664, -53472, -71280, -89088, -106896?\nAnswer: -124704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155752.9l to millilitres.\nAnswer: 155752900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1420 - 625 + 8141 = 120*d - 64 for d.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 15*j**2 + 129*j**2 - 22*j + 14 + 14*j + 9*j**2. List the prime factors of c(2).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2846*v - 2841*v - f, -f = -2*v + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 154, 3, -137, 101 in decreasing order.\nAnswer: 154, 101, 3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 42*t + 39*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 238 times 223\nAnswer: 53074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfih when four letters picked without replacement from nfffiihfnhfi.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -3*r**4\/8 + 289*r**3\/6 - 157*r**2. Differentiate a(c) with respect to c.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 548646330 a multiple of 1423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((5 + -3)\/2)\/((-1)\/(-157))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(0 - 2\/(-190)). Let q = 13468 - 13563. Is t smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 + -0.04. Let p = -2.98 + -0.02. Which is the smallest value? (a) g (b) p (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -2. Suppose 0 = -3*m + 5*f - 32 - 2, -84 = 4*m + 3*f. Let v(c) = -c**2 - 18*c + 40. Let b be v(m). What is the highest common factor of b and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 divided by -202?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/385 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08869566 - 0.08862. Round f to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8847*f + 8837*f + 60 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*l + 1)*(-182*l - 499*l - 185*l)*(-3*l + 4*l - 2*l)*(4 - 5 + 2)*(-3*l - 3*l + 5*l) to m*l + y*l**4 + j + u*l**3 + g*l**2 and give y.\nAnswer: 1732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -5*j**4\/8 - j**3\/3 - 2*j**2. Let d be q(-2). Suppose 0 = -5*n + d + 22. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1536, -3 in ascending order.\nAnswer: -1536, -20, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3720\/(-80) + 46)*((-9)\/8 + 1).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26 + -7 + -2 + 31831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 869601 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 2. Suppose -3*h = -7*h - 12. Let y be (-3)\/(-4)*(-8)\/(-9). What is the closest to y in 4, q, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 - 14*y**2 + 79*y - 230. What is h(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3236401\/6 - 1799\/3*y + 1\/6*y**2.\nAnswer: (y - 1799)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (636\/(-8))\/((-9)\/2154) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 15*d = -53825. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -461 + 453. Let y be b\/7*((-74)\/8 + 9). Find a, given that -2\/7*a**5 + 0 + 2\/7*a**2 - y*a**4 + 0*a + 2\/7*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474600359.\nAnswer: 31, 1699, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 128. Suppose t = b + 2*b. Solve b = -3*a + 4*g - 2, 5*a - 2*g = 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 7905*p**2 - 3112560*p + 9408960.\nAnswer: -5*(p - 3)*(p + 792)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*d + 63*d - 12 = 3*o, 12 = 3*o - 2*d. Let a = -6 - -9. Suppose a*g - 1 = o*g. Let v(k) = 6*k - 1. Calculate v(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - (-74)\/8)\/((-1)\/(-12)) is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 606\/13*f**2 + 604\/13*f + 2\/13*f**3 + 0.\nAnswer: 2*f*(f + 1)*(f + 302)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172 and 88?\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 7*g = -4*g. Which is the smallest value? (a) -5\/8 (b) 1\/8 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 238870*t**2 + 477705*t - 716580.\nAnswer: 5*(t - 1)*(t + 3)*(t + 47772)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -475 > -221104\/465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9776 by 94.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-8))\/(-1)*-2. Let n = 0.8 + -5.8. Sort 0.2, n, a in increasing order.\nAnswer: n, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, -8.\nAnswer: -8, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/11 + 2080*a**4\/11 + 2064*a**3\/11 - 14548*a**2\/11 - 2066*a\/11 + 12468\/11 = 0. What is a?\nAnswer: -1039, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 - 36. Calculate the highest common factor of 27 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -34*o**2. Let j(p) = -5*p**2 + 11. Let t(u) = u**2 - 2. Let i(y) = 4*j(y) + 22*t(y). What is i(m(n))?\nAnswer: 2312*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6797330?\nAnswer: 2, 5, 679733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**8\/504 + h**7\/315 + h**6\/30 + h**5\/45 - 5*h**4\/36 - h**3\/3 + 72*h**2. Solve g(z) = 0 for z.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 338, 339, 340, 341?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*i - 5*a, -3*a + 15 = -3*i - 6 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15 - -2)\/((-8)\/(-3) - 3). Let k(r) = -494 + p*r + 494. What is the tens digit of k(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -v + 32086, -3*v + 4*z + 85615 = -10355. Is 59 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 13. Let s be (-14)\/w*3 + 5\/(-20). Solve -4*b - 3*p = -5*p - 4, 5*b - s*p = 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 34. Suppose 0 = 7*r - 3*r - 5*b - c, 3*b = 3*r - 3. Suppose -x = -r*x - 2*i + 2, -2*x = 4*i + 2. Calculate the remainder when 15 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = 3*w, 0 = -3*v - v + 16. Which is the nearest to 3? (a) -1 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*g - 3*g**4 + 6*g**2 + g**4 - 57*g - 28*g + 10*g - 100 - 14*g**3 = 0. Calculate g.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 4\/11*b**2 - 1\/66*b**4 + 0 + 69*b + 0*b**3. Find y, given that a(y) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.9615 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m - 43*m = 2270. Let n = 249 - m. Calculate the remainder when 39 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 1033?\nAnswer: -1032.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 7*v. Which is bigger: -3\/8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/3 - 94*g**3\/3 - 1472*g**2\/3 - 2560*g = 0.\nAnswer: -16, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:03 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 367271476 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -194 and 657865.\nAnswer: 657671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318\/(-371)*(-105)\/(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 141*o + 5. Calculate the remainder when v(1) is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.21 + 0.69. Let m = n - 5. Is 13 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 1. Factor -5*c**5 + 2*c**5 + c**h + c**4 - 3*c**4.\nAnswer: -2*c**4*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**2 + 7*l + 7. Let w(x) = -x**2 + 2*x + 2. Let c(i) = 6*n(i) - 21*w(i). Let y(t) = t + t + 0*t. Give c(y(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 8*l + 1. Let s be i(6). Is 2 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 264 = -2*q. Let n = 135\/2 + q. Let c = -12 - -11.7. What is the smallest value in c, 1, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618171908 divided by -1.\nAnswer: 618171908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-455.792\nAnswer: 182.3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 16*h**2 - h - 15. Let a be c(-16). Suppose -5*z + 2*z - 4*b = a, -4*z = b - 16. What is the remainder when 10 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5264*a + 23828 = 5268*a. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 53341?\nAnswer: -5333a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 98 + x**2 - 97. Let a(i) = i**2 - 7*i + 4. Let t be a(6). Let u be 10\/45 - t\/(-9). Calculate r(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 313*v + 30676. What is c(-98)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19711244, 19711246, 19711248, 19711250?\nAnswer: 19711252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-51) + 20\/(-119). Let z = 2 + -5. Let m = -3.5 - z. What is the nearest to 1 in 4, a, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4234391 millennia in centuries?\nAnswer: 4.234391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 952315167 to the nearest integer?\nAnswer: 30860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*(-3 + 14\/4). Suppose -100 - 84 = -p*g. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3550 + -46174\/13. Let t = c + 124\/39. Let z = t - 13\/12. Sort 2\/11, 2\/3, -1, z in increasing order.\nAnswer: -1, 2\/11, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/319 and 91\/102168?\nAnswer: 2962872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10.007. Let f = h - -11.493. Let s = -11 + f. Which is the closest to 1? (a) -1 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5595*j + 1813*j - 4490*j - 69*j to b*j + z and give b.\nAnswer: -8341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012498 to 4 dps.\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30202 (base 4) in base 3?\nAnswer: -1002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4510 (base 7) to base 9\nAnswer: -2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31150 and -39.\nAnswer: 1214850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*l + 23 = 0, 7*l = b + 6*l - 7. Solve b*w - 8 = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41008, 39891, 38784, 37687, 36600?\nAnswer: 35523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d + 19. Let m be v(-15). Let q be m\/4*(0 + (-4)\/14). Solve -b - q = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than -127.7814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/8 (b) 3 (c) -5 (d) 3205 (e) 49 (f) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 4 + 0)**2 + 0 + 3 + sqrt(33)\/(sqrt(44)\/(sqrt(32)\/sqrt(8))).\nAnswer: 17*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*c - 10 + 10 - 18*c as v*c + s and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -0.048\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f + 7433121. Suppose -j = 2*t + 1200003, -4*t = -4*j + f - 77719. What is t rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 4. Let b(z) = 2*z. Let p(q) = q - 1. Let a(m) = -2*b(m) + 3*p(m). Let k be a(-5). Suppose v = -k*v. Give n(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -102, -100, -98, -96?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**7\/21 - a**4\/12 - 13*a**2 + a + 3. What is the third derivative of i(y) wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -691 - -824. Let t = 115 + -71. Suppose -t + y = i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 + w. Suppose -20 = 27*u - 31*u. Let s(t) = -7*t**2 - 4. Let i(l) = 9*l**2 + 5. Let x(o) = u*s(o) + 4*i(o). Give m(x(r)).\nAnswer: 5*r**4 + r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/12 + 5*u**3\/6 - 4*u**2 + 6*u. Let q be b(-7). Let w(m) = q*m - 2*m - m. Let p(o) = -o**2. Give p(w(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1026 - 1750 = -4*n - 2*j, 3*n + 4*j = 2092. Let b = 1772 - n. Suppose 6*x - 5*x = -4*k + 2160, -b = -2*k - x. Round k to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o**4 + 3*o**4 + o**4)*(4 + 5 - 2) as n*o**4 + q + d*o**2 + k*o**3 + z*o and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 9*x**8\/56 + 2*x**4\/3 - 11*x. What is the third derivative of s(y) wrt y?\nAnswer: 1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22463444 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - f = -3 - 16, -4*v - f - 21 = 0. Let b = -91\/356 + 1\/178. What is the closest to 2 in 0.3, v, b, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**4 - 5*w**3 - 13*w**2 + 8*w - 5. Suppose -c = -4*c - 12. Let v(b) = 6*b**4 - 6*b**3 - 12*b**2 + 8*b - 4. Let a(y) = c*g(y) + 5*v(y). Factor a(i).\nAnswer: 2*i*(i - 2)*(i + 1)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 3. Let g be c(-3). Let k = 1 - g. What is the least common multiple of 7 + -1 - (-1 + 2) and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-302*x - 172*x + 765*x)*(-14*x + 39 - 39) as j + c*x + n*x**2 and give n.\nAnswer: -4074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -5. Suppose 0 = c - o*c + 40. Calculate the smallest common multiple of 4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/2*8\/(-12). Let a(m) = -m**3 + 5*m**2 + 7*m - 11. Let p be a(6). Let d be 5\/(-1) + 3 + p + 16. What is the highest common factor of u and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 63 + 3 = 0. Let m be (7 - 5)*(-4 - (-1183)\/130)\/(5\/25). What is the greatest common factor of z and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 o when four letters picked without replacement from {o: 5, u: 2, k: 5}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 17*b**2 + 16*b - 7. Calculate d(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 33*a**2 - 46*a + 136. Give r(32).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 113 and 1.1?\nAnswer: 124.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373516, -747034, -1120552, -1494070, -1867588?\nAnswer: -2241106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 3. Let w(d) = 2*d**2 - 3. Calculate 2*v(h) - 3*w(h).\nAnswer: -2*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 0, -5, 8\/129, -3?\nAnswer: 8\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45562\/(-2071)*((-1)\/(-7))\/(-1)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 22 = -0*s - s - 16, 195 = -66*s - p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -6*t - 24. Suppose 3 = 3*r, -130 = -p - t*r + 6*r. Calculate the remainder when p is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 j, and 1 z when four letters picked without replacement from {i: 1, t: 1, c: 2, z: 4, u: 4, j: 3}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjq when three letters picked without replacement from jnqaanncaaattcnna.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a hour in minutes?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h*j*o**3*y**3 - 79*h*j*o**3 - 24*h*j*o*y**3 - h*j*o*y**2 + 2*h*o**3*y + 61*j*o**2*y**3 wrt o.\nAnswer: 24*h*j*y**3 - 474*h*j + 12*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 8*t - 5. Let f be k(-7). Suppose 3*r + 3*q = 6*q + 93, -f*r + 61 = -q. Is 17 a factor of (-2)\/5 + 1032\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 7 + 7 = 0. Let t(l) = -2*l**2 - 3*l + 3. Let y(p) = -2*p**2 - 3*p + 2. Let v(z) = 3*t(z) - 2*y(z). Let w be v(s). Solve -m = -w - 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 9*l**2 - 21*l + 15. Let n be p(-11). Suppose -5*w + 5373 = n*w. What are the prime factors of w?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.2 + -14. Which is the closest to -1? (a) 3 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**3\/2 - 1085*t**2\/2 + 68855*t\/2 - 1358535\/2 = 0 for t.\nAnswer: 47, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62.829 + -0.429. Let k = z + -62. Sort -1\/2, k, -1, 0.1 in descending order.\nAnswer: k, 0.1, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7348 or -10331\/3?\nAnswer: 0.7348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1221113?\nAnswer: 1221113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 - 249\/2. Let g = 3 - 2.7. Is u at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -299 - -633. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 92259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*x = -13, -3*j - 326*x + 331*x - 13 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*u + 35 = 5*t - 148*u, -15*t - 2*u + 53 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74727 and 2166?\nAnswer: 149454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157715 (base 10) to base 15.\nAnswer: 31ae5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 606715 * -0.4\nAnswer: -242686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35879856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - 0.39. What is v rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, -2\/3, 807?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 9. Let v(f) = f - 5. Let a(x) = 11*v(x) - 6*z(x). Let m be a(-11). Solve 0 = 3*r + p + 17, -4*r - m = -2*p - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0866 times -872?\nAnswer: 3563.5152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*-4*(sqrt(98) + 1 + 3 - (sqrt(98) + 4*1*sqrt(98)))**2.\nAnswer: -19003 + 2688*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862.6722 grams to tonnes.\nAnswer: 0.0008626722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n + 10. Solve -i - 15 = n*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -35. Sort 0, r, -0.5.\nAnswer: r, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 - 21*u - 21. Let h = 29 - 34. Let c(m) = -10*m**2 - 52*m - 52. Let k(z) = h*c(z) + 12*t(z). Factor k(r).\nAnswer: 2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 7*c**2 + 7*c - 6. Let i(v) = -v**3 + 5*v**2 - 2*v - 2. Let n be i(4). Let t = -24 - -29. Suppose -t*w + n*w - 6 = 0. Calculate h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 15 + 23*i + 3*i + i. Let j(y) = 9*y + 5. Let l(g) = -11*j(g) + 4*z(g). What is the remainder when l(4) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -0.4, 1\/7, 16\/105?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496 a factor of 135403316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(180) + 0 + sqrt(180))*1 + -1)**2 + -3.\nAnswer: -36*sqrt(5) + 1618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6146, 5, 112, -24.\nAnswer: -6146, -24, 5, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -21, -22, -4, -0.1 in ascending order.\nAnswer: -22, -21, -4, -6\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 + 5 = -4*c, -4*s - 3*c - 5 = 0. Let v be -10 + 22 - (0 + s). Which is smaller: 12 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(2\/13)))\/a*a\/a**(-4) assuming a is positive.\nAnswer: a**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 281 + -269. Let c be (-282)\/(7 - (j + -3)). What is the greatest common factor of 329 and c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + (1 - 2) + 2. Are -7 and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:09 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1757605.64494 and -0.5?\nAnswer: 1757605.14494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 60*m + 15*m - 3 + 7 in the form i*m + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78854790 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v**2 + v - 15*v**2 - 17*v**2 - v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -246626 + -418800. Let j = 665345.9921 + u. Let l = -80 - j. What is l rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23970*g - 24239*g = -12374 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -4*i**2 + 0 + 1\/12*i**4 + 5\/6*i**3 - 2*i. Let j be s(-6). Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7667883383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287 less than -7152519?\nAnswer: -7154806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5915 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/24)\/(1\/2). Suppose -f + 3*u - 5*u = 2, -5*f = 5*u - 5. Let q = 0.5 + -0.5. Which is the biggest value? (a) v (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 - 6*w - 10. Let s(f) = -8*f**2 - 19*f - 28. Let l(y) = 11*j(y) - 4*s(y). Calculate the remainder when 3 is divided by l(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289081, 1156355, 2601811, 4625443, 7227245, 10407211, 14165335, 18501611?\nAnswer: 23416033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqvw when four letters picked without replacement from aaaqaawwqwvxqn?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/4611680 and -33\/249280.\nAnswer: 9223360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3 + -9519987)\/2 - 5) + 0. What is h rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 1\/12*d**4 - 17*d - 2 - 1\/2*d**3 + 0*d**2 + 1\/12*d**5 + 1\/90*d**6. Suppose b(a) = 0. What is a?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**4\/4 - 67*k**3\/6 - 43*k**2\/2 + 10. Let o(j) be the second derivative of w(j). Is o(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 218 + 442 = 0. Calculate the remainder when 412 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.597 + -0.67. Let o = 0.05 + c. What is o rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 4 (c) 45 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 3 = -72 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d**5 + 2235*d**4 + 24078*d**3 - 237699*d**2 - 224910*d = 0. What is d?\nAnswer: -15, -7\/8, 0, 7, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 34095 = 8*j - 3*j, 4*u = 2*j - 13638. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 98.\nAnswer: -5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 25. Let t be m(7). Find the first derivative of 397*x - 397*x - 1 - 10*x**t wrt x.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.2, -0.1, -2, -1\/39, -6 in increasing order.\nAnswer: -6, -2, -0.1, -1\/39, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173882 and 467260.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1472 - -3316. Is 61 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 5*l**2 + 2*l - 3. Let y(s) = -3*s**3 - 5*s**2 + 3*s - 15. Give -3*i(j) + 2*y(j).\nAnswer: -3*j**3 + 5*j**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*z + 15, -2*z - 3*x + 6 = -8*x. Suppose z*q = 5*q - 126. What is the highest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r + 5. Let m be b(0). Let d = m - 4. Let u(k) = k - 1. Let w(q) = -3*q**2 - 6*q + 8. What is d*w(l) + 6*u(l)?\nAnswer: -3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-6))\/(6\/(-45)). Let q be (-20)\/(-8)*12\/i. Let m(h) = 5 + q*h - 5. Let s(f) = -f. Calculate m(d) + 5*s(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 8*j = 53, -859*j = -t - 863*j + 15 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-3)*w)\/w*w**(-1\/4)\/w*w\/w**2*w**2)**(-1\/18) assuming w is positive.\nAnswer: w**(-19\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**2*i*w**2 + c**2*w - 3415*c*i*w + 2*i + w**2 + 2416 wrt c.\nAnswer: 8*c*i*w**2 + 2*c*w - 3415*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*i + 7 + 32, -5*z = 2*i + 33. Round i to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20358 and 1074450.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371171, -371182, -371195, -371210?\nAnswer: -371227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 502, 12, 307.\nAnswer: 12, 307, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5 - 104*i**4 + 1004*i**3 + 9048*i**2 + 15138*i = 0.\nAnswer: -3, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 2, 1, 0, -1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 3. Let f(h) = -9*h - 10. Let z(d) = 2*f(d) - 7*r(d). Let k be z(1). Suppose 18 = k*o - 114. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*h*y**3 + 216*h*y**2 + 5417*h + 2*y**3 - 25*y**2 + 403*y wrt y?\nAnswer: 462*h*y + 432*h + 12*y - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 224224 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 + 1022268*p**3 - 87102343404*p**2 + 2786489936256*p - 22289826081792 = 0. What is p?\nAnswer: 16, 170362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 572 and 2607268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025167 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 18 - 7)*(-3*d**2 + 2*d**5 + 3*d**2) + (0*d**2 - 3*d**2 + 4*d**2)*(2*d**3 - 2*d**3 + 2*d**3) + 7*d**5 - 7*d**5 - d**5.\nAnswer: -23*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7798 - 5029. What are the prime factors of p?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*x - 10 = 2*n, -4*n - x - 15 = 0. Let c be (70\/28)\/(n\/(-3)). Suppose 1\/4 + 5\/4*h**2 + c*h = 0. What is h?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**7\/560 - 5*d**6\/32 + 53*d**5\/40 - 27*d**4\/8 - 1094*d**2. Factor b(w).\nAnswer: -3*w*(w - 2)**2*(w + 54)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 2*a = 0. Solve 2*s - 5 - 1 = a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -14. Let y be ((-20)\/(-6))\/(-5)*o. What is the third biggest value in y, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -13*s + 13. Let n(v) = -v + 3. Let o be n(-4). Let f(t) = 1 + 3*t + 3 - o*t. Give -2*d(m) + 7*f(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r - 2*r - 2*r - 7*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 18*v - 22*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -70*w. Let d(o) = -72*o. Determine 7*a(i) - 6*d(i).\nAnswer: -58*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j**2 - 30*j + 59. Let q be 4 - (-2 - 18\/6). What is the hundreds digit of h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*s = -8*h + 16, 2*s - 8 = -2*h. Let u(q) = q**3 - q**2 - q + 3. Calculate u(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 3*z = 1020. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 8. Suppose -3*g = -6*g + u. Suppose -g*y + 7 = -37. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -860779*r - 2535051.\nAnswer: -860779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 2)*(150*a + 92*a - 142*a) + (a - 4 + 4)*(-2 + 2 + 2) + 5*a - 2*a - 4*a in the form t*a + j and give t.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((870\/(-225))\/58)\/(7\/105*10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 2017.\nAnswer: -24204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.60242 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5183 or -126?\nAnswer: 5183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + (1 - -2))*(3 - 5). Let a = -2 - -4. Suppose 6*z - 2 = a*z - 3*w, w = -2*z. Sort -4, k, z in increasing order.\nAnswer: -4, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5175 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 c be 534\/18 - 2\/(-6). Is ((-8)\/(-3))\/(10\/c) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 43, 96, 189, 334, 543?\n\"Answer: 2*l**3 + 2*l**2 + 5*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5225.839*-10\nAnswer: 52258.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6026527*o - 16677213 with respect to o.\nAnswer: 6026527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w**2 - 141*w - 109. What is o(10)?\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3) + 4 - (112 + -114)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46281 (base 14) in base 6?\nAnswer: -3353545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*k + 1 - 314*k**2 + 271*k**2 to the form j + u*k + f*k**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-15))\/((24\/20)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245023501 (base 6) in base 2?\nAnswer: 10001111111010010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419073, 419070, 419067, 419064?\nAnswer: 419061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 11 = 4*t. Suppose -7 = 2*x - t. Solve k - 4*v + 2 = x, -k + 3*v = 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Suppose 0*j**w + 17 - 8 + 6*j + j**2 = 0. Calculate j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 8. Calculate the least common multiple of 17 and 1 + 5 + (b - 1).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 3*d**3 - 4*d**3 + (0*d**2 + 0*d**2 - d**2)*(5*d + 0*d - d) + 4*d**3 + 0*d**3 - 3*d**3 + 3*d**3 + 3*d**3 - 4*d**3 + 14*d**3 + 9*d**3 - 13*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 4*w - 34 = 5*q, 3*q - 4*w = -14 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -54, -81, -108, -135?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16731203729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/7)*g**(-9\/4) assuming g is positive.\nAnswer: g**(-79\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-8))\/z)\/z**(-18))**(-21) assuming z is positive.\nAnswer: z**(-546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let o(r) = -662*r + 4 + 282*r - 861*r - 4. Calculate o(f(s)).\nAnswer: -1241*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15741 + -10750. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3644267 and 18073?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 12*b**2 + 3 + 15*b**2 + 98*b**3 + 0 - 2*b**4 to the form q + p*b**3 + s*b + a*b**2 + g*b**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 10*k**2 - 20*k - 18. Give d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 396 = -71*b. Solve 3 = -b*c + 3*c + 3*n, -c + 2*n - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:36 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 5*q**4\/12 - 18*q**3 - 15*q**2\/2 + 62*q - 2. Let t be v(22). What is the greatest common factor of 551 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.6 + 20. Let c = 9.40051 - p. What is c rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c - 10. Let a be i(21). Let m be a\/(-36) + 1 + (-3)\/(-1). Which is bigger: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 22 (c) 4 (d) -2 (e) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/2)\/9*72\/(-6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*j - 123018 = -153*j. Suppose 7*q - 13*q = -j. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 10*l**3 - 3 + 12*l**3 - l**3 - 2*l + 2*l + (2*l - 3*l + 3*l)*(-3*l**2 + 3*l**2 - l**2).\nAnswer: -l**3 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctit when four letters picked without replacement from tttilicmilt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16328 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8194514 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 16*s**2 + 35*s - 4. Calculate u(18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Suppose 6 = 2*r + 2*h, -2*h = -5*r + 3*r + m. Suppose -3*w + r*w = -30. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -i + 5011 - 4840, -b + 19*i = -86 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 387\/11 + 22\/(-121). Suppose -230 = -5*h + z. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1354528 by -677264.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 371496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13441 - 1946 = -519*q + 728*q for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 9*p**2 - 11*p - 6. Let x be d(-8). What is the greatest common divisor of x and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b + 139 = -35 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06444705 to 5 dps.\nAnswer: -0.06445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 75*t + 1836. What is g(-17)?\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16020, -67526, -153362, -273522, -428000, -616790, -839886, -1097282?\n\"Answer: r**3 - 17171*r**2 + 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 1:38 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12938 + 12938 + 170*y)*(y**2 - 2*y**2 - y**2).\nAnswer: -340*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/9, -0.06, -5, 381\/2?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 0, -5, 1356851?\nAnswer: 1356851","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*d**2*z + 37234*d**2 - 61*d + 6431*z - 2 wrt z.\nAnswer: -65*d**2 + 6431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178 - -600. Suppose 2*u = -4*n + 572, 5*n = -u + 293 + v. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 = -0*o. Suppose -2*k = 5*h + 698, -1718 = 2*k + o*k - h. Let g = -4474\/13 - k. Sort -0.1, 0.2, 2\/11, g in decreasing order.\nAnswer: 0.2, 2\/11, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232\/(-145) - 256\/40?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20495?\nAnswer: 5, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/5)\/((-8)\/20). Let o = 8 - w. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -133?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*p - 18206 - 13730 + 7569 = 19257 for p.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 4320*a - 1031608. Determine q(-217).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4*((-38852)\/6 + -12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 4:29 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 34*r - 269. Give b(28).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 + 12*v**4 + 71*v**4 - 3*v**2 + (-2 + 2 - 2*v**3)*(2 - 2*v - 2) - 2*v**4 - v**2 + v**2.\nAnswer: 85*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -49*j + 47*j + 2*j + 12*j**2. Let o(b) = 5*b**2. What is o(q(c))?\nAnswer: 720*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2551 and 1.43107.\nAnswer: 1.17597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+174921\nAnswer: 174920.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 - 6. Let y(m) = 5*m**2 - 5. Let t(r) = 6*j(r) - 7*y(r). Let x(g) = -24*g**2 + 20. Give 20*t(l) + x(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6092746 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/19)*u)**39*u**(-20)*u**(-2\/37)*u assuming u is positive.\nAnswer: u**(45768\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-66))\/(50\/40).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -15 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*v + 8 = 3*s, -4*s = v - 16. Let h = -2425\/3 - -809. Which is the closest to h? (a) 3 (b) s (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5. Let k be v*(1 + 0 + -1). Is (2 + k)*63\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + (11 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29181 from -1058704431.\nAnswer: -1058733612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 46705 - 46705.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 95*p - 100*p + 5 = 0, -14 = 4*o + 3*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 838 = -2*g - 72, l - 1907 = -5*g. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 275 = 18*i - 17*i, 2*t = -5*i + 172. Calculate the least common multiple of t and 77.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2\/6 - 1455223*p + 6353021939187\/2 = 0?\nAnswer: 4365669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9 + 1603*t**2 + t + 0*t - 1604*t**2. Let u(y) = y**2 - y + 10. Suppose -7*r - 7 - 42 = 0. Calculate r*q(a) - 6*u(a).\nAnswer: a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s. Let b(g) = 513*g + 76*g**2 - 1021*g + 508*g. Give b(t(y)).\nAnswer: 1900*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 165221484 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441 and 343.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1150 - 266 = 17*t. Suppose t + 64 = 29*h. Solve h*q + 4*l = 2*q + 12, 2*l - 6 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 41*r + 2013. Let s be w(-49). Let y(h) = 6*h - 13. Let v be y(2). What is the nearest to -2\/7 in s, -264, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Suppose a = 2*i + 4 - 2. Calculate the remainder when (2 - 16*4)\/i is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4119085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14016, -28031, -42046?\n\"Answer: -14015*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(272))*-6 + 1 + 2 + (sqrt(272)*-2*6 + 3 + sqrt(272) + -1 + sqrt(272) + sqrt(272))**2.\nAnswer: -168*sqrt(17) + 22039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 12:56 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {q: 1, n: 1, j: 2, h: 1, r: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4174591\/6 or 695765?\nAnswer: 4174591\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*h - 679*h - 96193 = 549*h for h.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28768431*j*r + 61998937*r wrt j?\nAnswer: -28768431*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 7104?\nAnswer: 1\/1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 315\/4 + 2373\/2*w**2 + 3*w**5 + 1035*w**3 + 1299\/4*w**4 + 552*w = 0.\nAnswer: -105, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -4. Let j(h) = h**3 - 7*h**2 + 6*h + 4. Let g be j(6). Let q be 2\/g*(-2 - s). Solve q = -2*c + 5*k + 1, -5*c + 5*k + 5 + 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*u = 1 + 19, 5*i = -u. Let o(b) = 15*b. Let m be o(-7). Let w = -947\/9 - m. Is w at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14024 (base 5) in base 13?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 10*a + 6. Solve 4*y = -0*y - 3*d - 3, a*y = 4*d + 26 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/((-1)\/(-28)). Let r = 16 - c. Suppose 2*l + 578 - 2438 = -5*w, r*l + 2*w = 1848. Round l to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -601*j + 1801*j - 601*j - 601*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1331) + sqrt(1331) + -4)*1.\nAnswer: -16 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 - 2*w**2 + 2*w + 2. Let j(b) = b**3 - b**2 + b + 1. Suppose -2*k + d = 10 - 7, -4*k - 4*d - 12 = 0. What is k*j(m) + n(m)?\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -265 or 6497?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3 = 0, -178 + 161 = -4*r - d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1400.9691 + 1409.97. Let k = -9 + b. Round k to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88074935 divided by -17614987?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 5*c - 2*c)*(-3*c**2 - 2*c**2 - 17*c**2) - 3586*c**2 - 136*c**3 + 3586*c**2 to the form s + g*c**2 + n*c**3 + b*c and give n.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 5. Let v(a) = a + 2. Let u(j) = 4*b(j) + 7*v(j). What is the first derivative of u(g) wrt g?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 12 = -4*a, -4 = 4*z + 3*a - 2. Let k be 2 - (-1 + -1 - -2). Sort -3, z, k in descending order.\nAnswer: k, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 5*o**3\/6 - 37*o**2\/2 + 432*o. Calculate g(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqq when three letters picked without replacement from {q: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -142*i**3 + 53865\/2*i**2 + 6751269\/4 + 1\/4*i**4 - 1714608*i = 0.\nAnswer: 1, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -793, -1193, -1603, -2023, -2453?\nAnswer: -2893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -46. Suppose -14*n = -13*n - 17. Sort 1, -4, n, j.\nAnswer: -4, 1, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7696801.\nAnswer: 7, 17, 64679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222250 and 21624750.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112*s**2\/5 - 1908*s\/5 + 68\/5.\nAnswer: 4*(s - 17)*(28*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 704 divided by -4.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 7*j**5\/60 + 13*j**4\/24 + 29*j**3\/6 - 80*j**2. What are the prime factors of u(-7)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 74, -3, -1, 19, -0.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.84571 to 0 decimal places.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {u: 2, s: 4, t: 1, y: 1, w: 3, e: 7}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99249992.\nAnswer: 2, 127, 97687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4593355*k**2 + 12916553 wrt k.\nAnswer: -9186710*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Convert -a65397 (base 13) to base 12.\nAnswer: -137a6b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -978? (a) -1320 (b) -1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiaa when four letters picked without replacement from vifvijaa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103274*j**3*v**3 + 2271*j**2*v**2 - 2*j**2*v - 4*v**3 - 2*v wrt j.\nAnswer: 619644*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 211655 (base 12) to base 11\nAnswer: 326529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*-129\nAnswer: 18.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:26 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11\/5)*h**(18\/7)*h*h\/(h*h\/(((h**30*h)\/h)\/h)*h)*h**(2\/3)\/h)**(-2\/3) assuming h is positive.\nAnswer: h**(-5888\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30699 is divided by 1215.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1377))*2 + 2 + (sqrt(34)\/sqrt(32) - -4*sqrt(425)) + 1)**2.\nAnswer: 765*sqrt(17)\/2 + 398353\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = p - 4*h - 13, 0 = 5*h - 15. Let l = 8 - p. Let y be 5\/10 + 9\/l. Which is greater: y or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4642 + -4641.93218. Round s to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 - 117 = -3*o + 8*v, -2*v = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-5\/2)*z)\/((z*z**(-22)\/z)\/z) assuming z is positive.\nAnswer: z**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 7:52 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x - 80 = -43*x. Let d = 82 - x. Solve -15 = d*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 8*t**2 + 10*t - 10. Let b be z(9). List the prime factors of -1 + (13 - -1) + b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + l + 9, -10 = -3*l + 5*l. Let p(g) = -6 - 2 + 7 - d*g + 3*g. Determine p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1124839*-0.0907.\nAnswer: 102022.8973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -323, -1081, -2561, -5003?\n\"Answer: -40*d**3 - d**2 + 7*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1613000 to the nearest 10000.\nAnswer: 1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.73 - 0.27. Which is the closest to 1? (a) -2\/7 (b) i (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*b + 701 + 39*b - 9*b + 53*b + 2*b**3.\nAnswer: 2*b**3 + 701","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfqwgqfcbbbffg. Give prob of sequence cgqw.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4999?\nAnswer: 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 6965.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s - 12051 = 4*s - 11622 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmvmcovomcv. Give prob of picking 1 c and 1 m.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d - 13*d - 2*d - 6*d to the form l + j*d and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4*(3 + sqrt(1008)))**2 + sqrt(1008))*-2.\nAnswer: -32546 - 2328*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 164 + 32 = 0. Let t = z - 22. Let d = -17 + 25. Calculate the remainder when t is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:46 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -2 - 1\/30*l**6 + 3\/8*l**4 + 7*l**2 - 2\/15*l**5 - 5\/6*l**3 + 0*l. What is the second derivative of z(y) wrt y?\nAnswer: -24*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 times 1369277?\nAnswer: -101326498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/70 - 381\/(-5). Determine q, given that -12 + 50*q - 4*q**2 - k - q**2 - 36 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1786 by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - (-5 - -2)) - 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 33 = 53 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27520463 is divided by 2818?\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/5)\/((-7296)\/(-570)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h**(4\/5)*h)*h*h)*h\/(h\/(h\/(h*h**(3\/4)))) assuming h is positive.\nAnswer: h**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.1+2077652\nAnswer: 2077647.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 491 - 482. Solve u = -3*v + 9, -3*u + o = 3*v + 2*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 10 - 7) + -2 + 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -3537716679\nAnswer: -3537716665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-5) - -6) + 10\/(-7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 140288, 140287, 140286, 140285, 140284, 140283?\n\"Answer: -x + 140289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.34 - -16.34. Let w = 24 + -23.9. Which is the closest to w? (a) 0.4 (b) i (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114871.4 litres to millilitres.\nAnswer: 114871400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/15)\/(-4)*9\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850 times 0.128559?\nAnswer: 366.39315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by 2.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t - 2 + 37. Suppose -3*q + i = -10, -3*q + t = i - 3. Find v such that 0*v**2 + 2*v**2 - v**3 + 3*v**2 - q*v**4 - 3*v**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89.4 + 4\nAnswer: 93.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -109, -131, -169, -229, -317, -439, -601?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from nnsssunsnunssssvt?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133295862 or 133295866?\nAnswer: 133295866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, v: 3, a: 3, u: 2, g: 3}. What is prob of sequence au?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -325334860804 and -22.\nAnswer: -325334860826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -145*g**3 - 4*g - 2. Let v be n(-1). Suppose -21 = -0*f - f. What is the highest common divisor of v and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*6\/8 - 0. Let h = 0.05 + 0.75. Let d = 1 - h. Which is the nearest to -0.1? (a) d (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqaq. What is prob of picking 1 q and 1 a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5537 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40724\/7, 3, -150 in ascending order.\nAnswer: -40724\/7, -150, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/5)\/((-126)\/630)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2 + 40*w + 3. Let u be y(8). Let 10\/11*s - 14\/11*s**2 + 6\/11*s**u - 2\/11 = 0. What is s?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024371 to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 = -13. Let f be 1*0\/(-4 + o). Let t(v) = -v**3 - v**2 - 2*v + 51. Is t(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2. Let z(k) be the third derivative of 2*k**5\/15 + 6*k**2. Give m(z(g)).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/82 or -96?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 16936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -6 - 10. Let p be (2\/(-4))\/(2\/x). Let m(c) = -1 + c + p. Let j(b) = 2*b**2. Give m(j(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 3 + 3)*(73 + 5 + 152) + 3 - 3 + 3)*(1 - 1 - 7*y**3) to the form l*y**3 + i + f*y + x*y**2 and give l.\nAnswer: 3199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5757670181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 6*z - 7. Let t be j(-4). Which is smaller: t or 9\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 6) to base 4\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/14 and 1\/106.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33984 is divided by 15213?\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171825 is divided by 12269?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 2:14 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1785 and 1445?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989*p - 48240 = 25*p - 461*p + 219*p for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 8:17 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.154 - -0.114. Which is the closest to -2? (a) l (b) 1\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51602 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55\/4 of a hour?\nAnswer: 49500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 106*g**2 + 331*g - 432. Let w be s(109). Let t(k) be the second derivative of 3*k**2 - 7\/6*k**3 - 1\/6*k**4 + 0 + 1\/20*k**5 - k. Give t(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j**2 - 11*j + 53. What is u(4)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*o + o, 0 = -2*d + 4*o + 10. Let z be 0\/d + 8 + -3. Solve 2*b + 10 = z*k, k + b + 10 = -b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 140 = 4*m + 124, 2*m = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**5 + 707*k**4\/3 + 5489*k**3\/3 + 2215*k**2 - 19850*k\/3 + 7000\/3 = 0.\nAnswer: -70, -5, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12*o. Let j(r) = -41*r**2 + r - 3. Calculate n(j(l)).\nAnswer: -492*l**2 + 12*l - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 213, -3 in descending order.\nAnswer: 213, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -172955 and 75.\nAnswer: -12971625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 33. Determine j(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1288704 divided by -4?\nAnswer: 322176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3*5\/(-3))\/(-1)*(-462)\/(-210)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6 - 45\/(-10). Let g = -13 + 18. Suppose -3*c + 4*m + 10 = -4*c, 3*m = -g*c + 1. Solve p + p + 10 = -2*l, -c*p + o = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*z - 20, 5*v = 5*z - 8*z - 15. Suppose 4*r = v, 4*f = -3*r + r - 16. Let g = -6 - f. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s**3 - 11*s**2 - 7*s - 11. Let u(c) be the third derivative of -c**6\/24 - c**5\/10 - c**4\/6 - c**3 + 4*c**2. Give 6*f(b) - 11*u(b).\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 60 = -r. What is the units digit of ((-114)\/(-15))\/(1\/r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32810839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + z - n - 7, -4 = z - 2*n. Let k = z + -14. Let y(w) = 4499*w - 12. Let i be y(k). What is i rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/53 (b) -15 (c) 1\/3 (d) -4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28564526100 - 4*o**2 + 28564526100.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 9) to base 7.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0*b - 2*b - 19, 0 = -2*m - 4*b - 2. Let l(a) = -7*a + 7. What is the lowest common multiple of l(-11) and (-564)\/(-30) - 1\/(-5) - m?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 720 = 9*j - 5*j, -736 = -4*r + 4*j. Suppose 2*i = 4*u + r, 99 - 2 = i + 4*u. Is i a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850908?\nAnswer: 2, 3, 23, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-2)))\/(w*w*w\/((w*w**(-4\/3))\/w)))**(-48)\/((w*(w\/(w**1*w*w))\/w)**(-6)\/(w\/w**(1\/3))**36) assuming w is positive.\nAnswer: w**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 159*q - 65. Is g(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2332711 = 4*k + f, f = 4*k - 4665413. Suppose 3*v + 4672293 = -2126769. Let w = v + k. What is w rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -1 + sqrt(176) + (sqrt(121) - 3*sqrt(121))\/sqrt(11) + (-1*-1*sqrt(99))\/(sqrt(1296)*-2).\nAnswer: -1 + 71*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8674 (base 12) to base 6.\nAnswer: 152224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27111607.\nAnswer: 29, 934883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -2*r**5\/5 - r**4\/12 - r**3\/6 - 20*r. Let z(q) = -2*q - 1. Let m be z(0). What is f(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-4))\/((-12)\/(-16)). Let q be (-4 + x)*22\/(-4). Let t = q - -13. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 8. Let n(b) = -b**2 - 6*b - 3. Let z be n(t). Is z smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28005, -224095, -756327, -1792761, -3501457, -6050475?\nAnswer: -9607875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49518926 divided by -34.\nAnswer: -1456439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -372*26\/14586 + 2\/17?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -95.272.\nAnswer: -99.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**7\/2520 - n**6\/72 - n**4 + 3*n. Let p(i) be the third derivative of t(i). What is the second derivative of p(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -301500?\nAnswer: 301453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-2 - (-9)\/5). Which is greater: 18\/17 or b?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2373?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = 2*i, 12 = 2*i - 5*q - 21. Suppose 2*v = i, 5*x + 2*v = 6 + 8. Let t be 3*2\/6*x. Solve -g + 1 = -t*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/169, 0.054, -4, 5, -0.5?\nAnswer: -3\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -15*b**2 + b - 1. Let h(g) = -g + 5. Let x be h(4). Let t be w(x). Let p be (-77)\/(-5) - (-6)\/t. What is the greatest common factor of 135 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.538 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, v: 4, e: 3, m: 2}. What is prob of picking 2 l, 1 v, and 1 m?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6994184234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457647.\nAnswer: 19, 234613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 22. Let j be d(-8). Let t be 2\/j - 1892\/(-14). What is the units digit of (0 - (2 - 0))\/((-6)\/t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 4*b - 16, b - 6 = s + s. Let q be (-1 + 30\/28)*s. Let v = 587 + -585. Sort -1, q, v.\nAnswer: -1, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - 3.2. Suppose 0 = 3*p + 4*h - 4, -5*p - 2*h + 5 = 3*h. Which is the nearest to p? (a) 0.4 (b) -1\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0865 and -2447440295.\nAnswer: -2447440294.9135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24724 + -14724. What is y rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -2547\nAnswer: -1273.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230759814 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -48*o - 290. Is 21 a factor of w(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7028 and 0.12.\nAnswer: -7027.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 3 = 4*f. What is the remainder when 33 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/2*50\/75 - 0. Let n(a) = a**2 + 10*a + 12. Give n(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -2) + (17 - 164). Let c = -118 - z. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8225681 (base 9) to base 7.\nAnswer: -52200643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-24)\/21)*(-1780)\/6230*46?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1223 or -1213?\nAnswer: -1223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(28 - (-21 + 27)). Suppose v + 44 = 3*v. What is the greatest common divisor of v and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*p + 9 - 5, -2*p = -3*b. Calculate the remainder when -2 + 3 + -4 - (-54 - b) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*m + 32 - 1546, -2*m - 2*h = -620. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31235417 a multiple of 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxxx. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0353 from -0.03760162611.\nAnswer: -0.00230162611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66aa04 - 56?\nAnswer: -66aa5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 3*f - 4. Let v be q(-4). Suppose -2*k - v = -t, -3*k + 86 = 3*t + t. What is the units digit of 64\/10*t\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from ddedeeddgde?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 231\/379 (c) 0.14 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 6 - 7) + 7 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -58*r**3 - 5*r**2 - r. Let t(s) = s**3. Give -f(u) + 4*t(u).\nAnswer: 62*u**3 + 5*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46620 (base 7) to base 4.\nAnswer: -2323002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*q + 15*v - 18*v, 3*v = -q - 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7092515 and 2230?\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*s**3 - 8*b**3*s**2 - 861*b**3 - 3*b**2 + 2*b*s**3 + 88799*s**2 wrt b?\nAnswer: 18*s**3 - 48*s**2 - 5166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**3 - 22*t**2 - 9*t - 9. Let c(b) = 3*b - b**3 + 0*b + 16*b**2 + 3 - 9*b**2. Let i(r) = -7*c(r) - 2*g(r). Does 12 divide i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/10 + q**4\/12 + q**2 - 11*q. Determine k(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8858 divided by 4429\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 160*v - 151*v - 7029. Calculate the remainder when v is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15920915788 - -0.038027?\nAnswer: -15920915787.961973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 + 43 + 89 - 59)*(8 + 17*b**3 + 3 - 19*b**3).\nAnswer: -328*b**3 + 1804","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.2, -0.076, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*m - 296388 - 947228. List the prime factors of m.\nAnswer: 2, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000416 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 7. Let i be d(3). Solve 4*o + i - 14 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -359 + 385 + 20 + -23 + 10?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12*(-6)\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 38*n - 39. Calculate the remainder when u(-40) is divided by (-2)\/((6\/22)\/(-3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -21. Solve -3 = i*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 3 - 1\/2*p**2 + 0*p. Let f(b) = -3*b. Determine -4*f(n) + 15*w(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3047 + 10649. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.53 rounded to 1 decimal place?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/(-3))\/(-12))\/((-1)\/(-1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91709 + -28114. List the prime factors of m.\nAnswer: 5, 7, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = k + 14, -100*u + 2*k + 10 = -101*u. Let o(f) = -9*f - 8. Give o(u).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**4 + 4*h**3 - 3*h**2 + h + 1. Suppose 2*l + 2 = l. Let t(w) = -w**4 - w**3 - w**2 + w + 1. Let y(j) = l*f(j) + 2*t(j). Factor y(p).\nAnswer: 2*p**2*(p - 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 864 and 376587.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 - (-34 - (-43 - -16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = -v + 14, -4 = 4*v + 3*g. Suppose 0 = -18*t - 8*t - 26. Let x = t + 30. Calculate the lowest common multiple of v and x.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3611 - 3611 - 110*h + (-h - 2*h + h)*(-1 - 11 + 34).\nAnswer: -154*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*a = 6 + 12, j = -4*a - 29 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 228093124, 228093122, 228093120, 228093118, 228093116?\n\"Answer: -2*p + 228093126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 8 = -2*o. Suppose -3*g = -5*r - 10 - 10, 2*r + o = 0. Solve -5*d - 4*k = -4, d + g*d = 2*k - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -20 + 12 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -149.\nAnswer: -8\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 588 - 585. Let s be (1\/n)\/(9\/54)*-3. Let l(z) = -9*z - 6. What is l(s)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 8802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5261.1+-0.2\nAnswer: -5261.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 2)*(23*r**2 + 1309*r**3 - 310*r**2 - 1308*r**3).\nAnswer: -4*r**3 + 1148*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 498*o + 22.\nAnswer: 498*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 + -0.35. Let d = 0.19 + 1.81. Which is the second biggest value? (a) s (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6974926, 6974918, 6974906, 6974890, 6974870?\n\"Answer: -2*j**2 - 2*j + 6974930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*x + 27, 4*x - 3*t + 3 = x. Suppose 5*l + 3*w - 1 + 8 = 0, x*l = w + 8. Let c be (0 + 2\/34)*2. What is the nearest to l in c, -3, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34121230 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1331920\nAnswer: -3995760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 13) to base 16\nAnswer: -ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 14*g**3\/3 - 3*g**2\/2 - g - 204. Let k be l(-5). What is the highest common divisor of 104 and k?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 398*h**4 + 164*h**4 + 1010*h**4 - h**2 + h**2 + 2*h**4 + (-3*h**3 - h**3 + 2*h**3)*(-h + 2*h - 3*h) - 3*h**3 + 3*h**3 + 2*h**4.\nAnswer: 1580*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -15*z**2 + 24*z - 9. Let x(i) = -7*i**2 + 12*i - 5. Let f(y) = -3*j(y) + 7*x(y). Factor f(b).\nAnswer: -4*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 437*p - 369*p - 1020. Solve -235*q + p = -230*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 19*c + 121. Let y(u) = -11*u + 4. Let i(r) = 33*r - 11. Give c*y(n) - 4*i(n).\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*z**3 - 35812*z**2 - 37592*z - 1600.\nAnswer: 4*(z - 200)*(z + 1)*(45*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29563.2 nanometers?\nAnswer: 0.00295632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2054 - 11.6506. Let l = h + -0.144. Which is the closest to -2? (a) -2 (b) -2\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.89 plus -73?\nAnswer: -31.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8945\/(-725) - -14) + (16\/4 - (-319)\/(-55)).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59224 and -55.\nAnswer: -3257320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, -2\/13, 3\/2, -0.4, 3 in decreasing order.\nAnswer: 3, 3\/2, -2\/13, -0.4, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 844248356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooy when three letters picked without replacement from yodyyoyyoydyooyy?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2478845142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 3. Let k be g(-5). Let w(c) = -c + 9. Let l be w(k). What are the prime factors of (1\/(-3))\/(l\/(-234))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**4 - 51*h**4 - 250*h**4 + 137 + 37*h**4 wrt h?\nAnswer: -1064*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 5*y = 10, 0 = -4*l + 2*y + 1 + 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-2) + 143\/26. What are the prime factors of 238 + l - ((-5)\/(-1) - 1)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4*r + 107*g**3 - g**2 + 8*g*r - 3*r wrt g.\nAnswer: -24*g*r + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -276, -1143, -2596, -4641, -7284, -10531?\n\"Answer: -w**3 - 287*w**2 + w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190333.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 100832229178686\nAnswer: -100832229178686.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62425840 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6704)\/(-8))\/((2 + 4)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9135174 times 0.4\nAnswer: -3654069.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from jtjjlvtvcjtj.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 65 (b) -5 (c) 144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 161*f - 3. Let p(y) = -2*y - 1. Calculate b(s) - 2*p(s).\nAnswer: 165*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 3*t + 5. Suppose 2 = 3*b - 2*b. Let s(m) = 2*m + 4 + 3*m**b + 5 - 5. Determine -2*i(u) + 3*s(u).\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9044 or -9001?\nAnswer: -9044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 37 = 4*i - 2*t, 0 = -3*i + t + 283 - 256 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {b: 6, u: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9\/z*z\/z**2)\/((z**(-2\/7)\/z*z*z)\/(z**(-9)\/z)) assuming z is positive.\nAnswer: z**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001394 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 + -109. Suppose s*p + 4*w - 88220 = 0, p = 4*w - 3*w + 22047. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - 1.2. Let z = 0 + 0.2. Let n = -0.3 + z. Which is the smallest value? (a) n (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 725*q**3 - 2995*q**2 + q + 8145. What is the second derivative of h(f) wrt f?\nAnswer: 4350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 5*g - 4. Let v = -27 - -32. Let j(x) = x**2 + x + 1. Let i(u) = v*j(u) + l(u). What is the first derivative of i(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.007 (b) -3 (c) 5059\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 2237840?\nAnswer: 2237833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 3)*(1 + 4 - 7)*(4*k**2 + 2*k - 2*k).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16524 by -54.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-5 + 21 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**0)\/r)**(-2\/39))**(-46)*((r\/r**(-6\/5))\/((r*r**(1\/4)\/r*r)\/r))**(-20) assuming r is positive.\nAnswer: r**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439, -908, -1435, -2050, -2783, -3664, -4723, -5990?\nAnswer: -7495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.70000863 - 34.7. Round t to seven decimal places.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4908 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2341\/3105 - 2\/135. What is the common denominator of (-34)\/12*-2 + -1 and s?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 64 = 5*c, m = -4*m - 10. Let y = 4 + c. Let f(v) be the first derivative of v**4\/4 + 7*v**3\/3 - 7*v**2\/2 + 9*v + 347. Determine f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 13*k - 72. Let a be p(8). Solve -a*j = -12*j + 60 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5\/3 - 45155*g**4\/3 + 240560*g**3 - 4328480*g**2\/3 + 11540480*g\/3 - 3846400.\nAnswer: 5*(g - 9015)*(g - 4)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) - 561\/(-68). Let v be 13\/(1 - m\/12). Suppose 0 = 3*q - 3*u - v, 9*u - 11*u = -3*q + 38. Calculate the smallest common multiple of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + sqrt(2299) + 0 + sqrt(2299) + 1 + sqrt(2299) + sqrt(2299))**2*4.\nAnswer: -704*sqrt(19) + 147154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 135.6?\nAnswer: 542.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82887 - 82887 + 86*v - 2*v + 0*v + 4*v + (-4*v + 0*v + 2*v)*(0 + 0 + 2) - v + 2*v - 3*v - 2 + 5 + v - 5 to the form d*v + k and give d.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -17 (b) 0.4 (c) -1\/6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2. Let d(o) = -5*o - 11*o - 75*o - 49*o - 81*o. Calculate d(u(c)).\nAnswer: 884*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*(sqrt(112) + 3 - sqrt(112)))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.4, 4, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1 - -2)*1. Find the first derivative of 3*x**2 - h*x**2 + 2 + 6*x**2 - 4*x**2 wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 7 - ((-5 - -7) + -14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -29764*i**2 + 38. Let m(p) = 3*p. What is m(b(r))?\nAnswer: -89292*r**2 + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, j: 10}. What is prob of sequence ss?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*x + 100, 3*y = -2*x - 2*y + 88. Let o(p) = -4*p**3 + p**2 - p. Let s be o(1). Let m = s + x. Calculate the highest common factor of 18 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56 times -1.5?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -2 + -5 + 10 + -9 - -10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6498, 6495, 6492, 6489?\n\"Answer: -3*d + 6501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 61*j**2 + 13 - 19 + 62*j**2. Let h(x) = 4*x**2 - 4*x - 25. Let b(o) = -2*h(o) + 9*z(o). Suppose 0 = 2*r - 6*r - 16. What is b(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1200 and 7950.\nAnswer: 63600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.6654 + 0.0054. Round v to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 4. Let c(k) = 3*k**2 + 5. Let y(l) = 4*c(l) + 5*u(l). Suppose 4*q + 3*v - 7 = 0, 2*v - 5 = -2*q + 1. What is y(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 14*x**2 - x - 11. Let b be d(-14). Let l be 3\/(2*b\/4). Suppose l*y - 106 = -38. 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 5*d - 3*d - 6*d + 2203 - 4*d.\nAnswer: -8*d + 2203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 33*t - 1. List the prime factors of q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/70)\/((-3)\/28))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + c - 0*c - 18, -3*c = 2*q + 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 2016?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 22 = 9*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178661?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4693742?\nAnswer: 2, 1249, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -568, 5 in decreasing order.\nAnswer: 5, 2, -3, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*22\/(-3). Let p(g) = g + 15. List the prime factors of p(o).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from iiieeeee.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38937 by 5.\nAnswer: 38937\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3687 and 13519.\nAnswer: 40557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g**2 - 4*g + 4. Let x(l) = 11*l**2 - 7*l + 8. Let m be x(7). Suppose -20*c = -14*c - m. Calculate the remainder when c is divided by a(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154 + 256. Suppose 59*l = 6*l + 1628 + 174. Calculate the greatest common divisor of f and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7911742 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696664.\nAnswer: 2, 23, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -734.8 - -735. Which is the closest to u? (a) -1\/2 (b) 26 (c) -0.2 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 257239255 and 910.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 10\/3*h**3 - 7*h + 0*h**2 + 0*h**4 + 0 - 1\/2*h**5. What is the second derivative of r(g) wrt g?\nAnswer: -60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (1 - -4 - (10 - 2)) + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 4. Let b be i(0). Suppose -2*j + 798 = -b*v, 0 = -3*v - 4*j - 889 + 285. What is v rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 14*w - 10*w - 38, w - 4*n = -38 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21200223 (base 4) to base 3.\nAnswer: 1222102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230 - 398 = 28*o - 236 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -444 divided by 222\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 906874?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.64278nm?\nAnswer: 0.00164278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -18. Let z(p) be the first derivative of -2\/15*p**5 - k + 1\/6*p**4 + 0*p - 1\/3*p**2 + 2\/9*p**3. Factor z(s).\nAnswer: -2*s*(s - 1)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + q**2 - 1. Let o be x(-1). Let z be 0 - (-2 - (o - -2)). Suppose -z*i + i + 43 = 0. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 - 17*n**3 + 25*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2254 and 18576180.\nAnswer: 130033260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxxxxtxxtjjj. Give prob of picking 3 x.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 8:28 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3724860112?\nAnswer: 2, 79, 2946883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:24 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 + 1 = -2*j, -3*g + 15 = 3*j. Suppose 4*k = g*k. Let q = 14 + 1. Solve -q = -5*o + a - 1, k = -3*o - 4*a + 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17461.96858 to 1 decimal place.\nAnswer: 17462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.13 and 2?\nAnswer: 1.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -3*sqrt(162)) + 4.\nAnswer: 4 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Suppose 4*p + 26 = 17*p. Solve b*y = p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.41 - -28.21. Put -4, g, 3, 132 in ascending order.\nAnswer: -4, g, 3, 132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 7*m. Sort 3, m, 14 in descending order.\nAnswer: 14, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -8 + 20 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1201*f**3 - 1725*f**3 - 5 - 1 + 6.\nAnswer: -524*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -4, -3, 2, -13.47, 5\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9674182 and 2212?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -679876 + -2372592.9\nAnswer: -3052468.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6315679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 27*c**5 - 1 + 14*c**5 + 11 - c**5 - 4*c**5 + 6*c**5 + (3 + 1 - 2)*(4*c**5 - 4*c**5 - c**5) - 6*c**5 + 3*c**5 + 2*c**5 + 0*c**3 - c**5 + 0*c**3.\nAnswer: -16*c**5 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 7 = 12*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -37. Suppose 0 = -4*k + 5*f - 171 + 606, k = -w*f + 96. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -429? (a) -1\/4 (b) -1\/3 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 1529 = -1495. Which is the smallest value? (a) 1\/6 (b) k (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, p: 4, l: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7886497 months in decades?\nAnswer: 0.0232387475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 23440 + 7386 - 38714. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.165 (b) -108 (c) 10 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/116894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -7 - -7) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310233 (base 4) to base 11.\nAnswer: -2599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 5 - 2*u**3 + 16*u**2 - 2 as c*u**3 + m + w*u + g*u**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - 2*k + 1. Let t be f(-2). Let b(i) = -i**2 + 26*i - 9. What is the tens digit of b(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13816259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsrt when four letters picked without replacement from stqrm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 + 0 = 0. Solve 0 = -4*v + d*k + 16, 5*v - 2*k = 3*k + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 not equal to 75\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/7 + -2 + (-29)\/(-7). Sort -2, p, -78.\nAnswer: -78, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -413, -352, -245, -92?\n\"Answer: 23*b**2 - 8*b - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1709\/22, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -20*o**3 + 5*o**2 + 30*o - 20. Let g(w) = -3*w**3 - w**2 + w + 2. Let n(c) = -5*g(c) + i(c). Suppose n(x) = 0. What is x?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1332a6a (base 13) to base 5\nAnswer: 3021020133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5672471003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056155641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*(-2)\/(-9))\/2. Let d = 1942 + -1941.9. Suppose 5*i + 3*l = -8, -1 = -0*l + l. Which is the second smallest value? (a) d (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -17*q - 12. Let i be p(-3). Suppose -x = -2*r + i, -4*r - 54 = x - r. Let w = x + 144. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**4 - 45*q**2 + 20*q + 60 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28424 + -8432.4?\nAnswer: 19991.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 300551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1708 and 165.\nAnswer: 281820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + -0.02. What is the nearest to t in -3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(931) + 4 + (5 + (sqrt(931)*1 - sqrt(931)))**2 + 2.\nAnswer: 7*sqrt(19) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i**(3\/5)*i)\/i*i)\/i)*i**(-1\/4))\/(i**(-7)*i)**22 assuming i is positive.\nAnswer: i**(2643\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 17*m = 9*m - 152 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:12 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 3. Let q be 1\/(58\/30 - 2). Let n = g - q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwrrwwrrrwwww. What is prob of sequence rrwr?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:27 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 22*r**2 - 46*r + 21. Calculate s(-24).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r = 45. Let p = r + -4. Solve j - 20 = p*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddlcwm. Give prob of picking 1 l and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from cuppkjp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40084439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**(1\/15))\/t))\/(t\/(t*(t\/t**1)\/t*t*t))*(t*t*t*t**3)**(-6) assuming t is positive.\nAnswer: t**(-511\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5*(-5)\/(-15))\/(-2))\/((-15)\/(-9)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 240 = -228. Let g(j) = -33*j - 1. What is g(s)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 234*k + 67306*k**4 + 175*k - 67309*k**4 + k**3 - 2 to p*k**3 + v*k**2 + m*k**4 + u*k + t and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 + -6.88. Let a = c + 12. Let r = 0.7 - 0.2. What is the biggest value in a, -1, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -18335917.\nAnswer: -18335939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 31*y**2 - 5*y + 9. Let h(x) = 1038*x + 16*x**2 + 1043*x - 3136*x + 1052*x + 5. Give -7*h(s) + 4*t(s).\nAnswer: 12*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/315 and -13\/441?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 54.9061 and 5.\nAnswer: 59.9061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence giig when four letters picked without replacement from {g: 7, i: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2 - 11*u + 25. Let q be m(-10). Let h = q - -499. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340443441 (base 6) in base 9?\nAnswer: -12582807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.251 + 0.749. Let k = -58\/7 + 972\/119. What is the nearest to f in -5, 3, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-6)\/(-4)) - -2. Suppose -n + 8 = l. Let t(i) = -i + 18. Let z be t(12). Solve 0 = 4*s - n*m + 12, -s = -3*s - 3*m - z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298 - -343. Put r, -4, 3 in increasing order.\nAnswer: -4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*k + 26 = 0, 26*k - 21*k - 45 = -5*r. What is the smallest common multiple of r and 2308?\nAnswer: 11540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 282\/126 + -2 + 36\/84.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {k: 1, u: 1, x: 2, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18a + 3a?\nAnswer: 1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 12 - 15. Solve 2*p = -x - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(1\/(-33)) - 4. Solve 42 = -j*m + 35 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyf when three letters picked without replacement from {y: 1, f: 2, v: 2, u: 1, t: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -999936*y**2 + 266618*y.\nAnswer: -1999872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/69 + 10\/6)\/(15*(-20)\/350).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - 2*t + 1. Let j(p) = -14*p**3 + p**2 - 11*p + 6. Let d = 200 - 198. Calculate d*j(y) - 11*g(y).\nAnswer: 5*y**3 + 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14018 is divided by 6994.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 315, 975, 2487, 5277, 9771, 16395, 25575?\n\"Answer: 71*x**3 + 163*x + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1453 - 1460. What is the smallest value in 6, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*d*d**(-9\/2)\/d)\/d*d))\/d)\/d*d**(-13))\/(d\/(d\/(d*d\/d**(2\/21)*d)*d)*(d\/(d**(-6)\/d))\/d) assuming d is positive.\nAnswer: d**(-815\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 188\/5 (b) -3\/5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 42*w + 49. What is the nearest to w in -23, 21\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44247 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 776*a - 11696. What is w(15)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -8533?\nAnswer: 8532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13857206, 13857205, 13857204, 13857203, 13857202?\n\"Answer: -k + 13857207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y - 6. Let o be a(-3). Suppose -2*k + o*k = 14. Round k to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 18*a - 20. Let z be u(-10). Sort -9, 2, z, -2 in ascending order.\nAnswer: -9, -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178159, 178262, 178361, 178456?\nAnswer: 178547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Let v be 26\/(-91) + 408\/252 + -2. Which is the third smallest value? (a) v (b) -0.098 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from ascssassasair.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155.81 + 73.81. Which is the nearest to -1.1? (a) s (b) -0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 77, 82, 99, 134, 193, 282, 407?\n\"Answer: a**3 - 2*a + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/8))**(2\/135)*o**(1\/5)*o**(-3\/7))**(3\/4) assuming o is positive.\nAnswer: o**(-857\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/2*(-1)\/(-2)*-2. Suppose -g*f + 8 = -235. Calculate the highest common factor of f and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 329\/5. What is the closest to -0.1 in 0.5, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (84\/63)\/((-2)\/(-3)). Find c, given that 6 - 105*c + 14*c**2 - c**2 - 4 + 82*c**a + 8 = 0.\nAnswer: 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.91 * 0.53.\nAnswer: 0.4823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 67. Let c = k + 19. Let r = -83\/3 + 341\/12. Sort r, 1, c in decreasing order.\nAnswer: 1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cudc when four letters picked without replacement from cducuccucdcccu?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 153701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + q**3)*(-2*q + 0*q + 0*q) + (69 - 6*q**2 - 34 - 37 + q)*(q + 7*q**2 - q).\nAnswer: -44*q**4 + 7*q**3 - 14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 5*q + 3. Determine u(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 424 and 509 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1752*-31\nAnswer: -5.4312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 48 = 17*s. Suppose -302 - s = -u + 2*q, -1545 = -5*u - 5*q. Let v = u + 93. What is the greatest common divisor of v and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**7\/84 - 2*p**6\/15 + 23*p**5\/40 - 7*p**4\/6 + p**3 - p + 37. Factor o(q).\nAnswer: q*(q - 3)*(q - 2)**2*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:41 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 74 = 4*k. Calculate the least common multiple of k and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 5*x - 34. Suppose r = -5*h + 11, 5*r + 4*h = 3*h - 41. Let t be z(r). Solve 12 = 2*p + i, 2*p - 2*i - t*i = 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8658541 to the power of 1\/2, to the nearest integer?\nAnswer: 2943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 10 = -14. Suppose 5*l = 2*n - 6*n + 5855, a*n = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983512.7 hours in minutes?\nAnswer: 59010762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70 and -791.9.\nAnswer: -55433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7100660101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8990, -17798, -26604, -35408, -44210?\n\"Answer: n**2 - 8811*n - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from hywwwyybwyhyy.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/q**(-2\/3))\/q))**(-5\/18)*(q**1*q)**(-18\/7))\/((q\/(q*((q\/(q\/(((q**(-2\/7)*q)\/q)\/q)))\/q)\/q))\/q**2)**(-6\/31) assuming q is positive.\nAnswer: q**(-58433\/11718)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 24*a + 5*a + 9 + 13*a. What is the units digit of z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*k + 13*k - 5*k**2)*(-530 - 399*k + 530 + 144*k) in the form u*k**3 + s*k**2 + f*k + d and give u.\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5203052 rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.635679 rounded to three decimal places?\nAnswer: 0.636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84440879.\nAnswer: 84440879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6279 > 6279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 7*v + 9. Let x be g(6). Let p be (x\/(-9))\/(2 - 3). Let m = 14 + -18. Which is the closest to p? (a) m (b) 1\/6 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 187417250 to the nearest 100000.\nAnswer: 187400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*n**2 - 13*n**2 + 24*n**2)*(-5*n**2 - 2*n**2 - 12*n + 8*n**2).\nAnswer: 81*n**4 - 972*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 162 + 142. Suppose -t*z = h - 23, 3*h - 1 = z + 4. Solve 5*g + 30 = -5*u, 7*u - z*u + g + 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -43. Solve y - 4*q = -9*q, -5*y = s*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2205)*5)\/(sqrt(9) + sqrt(18)\/sqrt(50)).\nAnswer: 175*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((0 - -9) + (6 - 9) - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c + 32 + 43 - 39 to the form d*c + k and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 154*m**3\/3 - 11*m**2\/2 + 31*m - 170. Is x(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -116, -429, -942, -1649, -2544, -3621, -4874, -6297?\n\"Answer: m**3 - 106*m**2 - 2*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 351191 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4 = 2*c. Let z(d) = 6 - d**c + 3*d**2 - d**2. What is z(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - s + 170. Let m be g(0). What is the highest common divisor of 1921 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7354 is divided by 84.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 220451 - 6?\nAnswer: 220442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**2 + 5*v - 7. Let t be (4\/6)\/((-200)\/(-12) - 16). What is w(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 6:32 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10270.\nAnswer: 2, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1) + (12 - 8). What is the derivative of -i*m**2 + 3*m**2 + 55 - 42 - 4*m**3 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-17 - -41) + -42?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:18 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - -624. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/471051 or -1?\nAnswer: -4\/471051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**2 - 69*f - 146*f + 215*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/136)\/(-5*8\/12960)?\nAnswer: -81\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11944 = -3*c + y, 161*c - 156*c = -5*y + 19940. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1312 and 4469?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1266462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -69*q + 73*q + 2*r, -q + 36 = -4*r. Calculate the remainder when 521 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 863589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10*(26 + -1). Let r = 1 - -1. What is the greatest common divisor of r and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 3*a**3 - 4*a**3.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-215)\/(-172)*36\/(-30))\/(12\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106\/371)\/(2\/(-49))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1715*p**2 - 1887*p**2 + 3603*p**2 + 9552*p + (3 + 2*p - 3)*(0 - p + 0) in the form a + g*p + s*p**2 and give g.\nAnswer: 9552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 7*z + 1. Suppose -161*s + y - 21 = -165*s, 3*y = 2*s + 7. What is g(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -165, -304, -537, -864, -1285, -1800, -2409?\n\"Answer: -47*w**2 + 2*w - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 12*o**2 - 7*o + 7. Suppose 2*g + 2*s = 0, 0 = -0*g + 4*g + s + 12. Let h be g - 1 - (-6)\/(-3). Is b(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3687*c*i + 5491364*c + 10604*i wrt i.\nAnswer: -3687*c + 10604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + 4)*43 + 5.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 45*q**3 + 6928*q**2 - 317*q - 1386. What is m(-154)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297\/189 - (-28194)\/518.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-82)\/(-8))\/((-5)\/20). Let a = 60 + z. Suppose -s + a = 3*w + 3, 3*s = 4*w + 22. Calculate the remainder when 29 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5a3b1 (base 13) to base 15\nAnswer: 34036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 55*z**3 - z**2 - 25*z**3 - 2*z - 24*z**3 - 1. Calculate n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -5\/9*j**3 + 5\/36*j**4 - 20\/3*j**2 - 25*j + 0. Factor d(c).\nAnswer: 5*(c - 4)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(13) + -1 + 4 + 2 + sqrt(13) + 0 + sqrt(13) + 4 + -1)**2.\nAnswer: 12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**2 + 5*q**2 - 2*q**3 - 1 + 2 - 6 to the form y + v*q**3 + g*q + k*q**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 16 - (-11607)\/636. Put -3.5, -4, d, -1\/5, -5 in increasing order.\nAnswer: -5, -4, -3.5, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 147756.37.\nAnswer: -147756.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 4*v + 15. Calculate a(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152947582 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s**3 - 240*s**2 - 28*s + 9188. Let q(p) = -15*p**3 + 240*p**2 + 21*p - 9185. Let n(d) = 4*q(d) + 3*u(d). Differentiate n(y) wrt y.\nAnswer: -54*y**2 + 480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(1\/47)*c))\/(c**(-1\/15)*c))\/(c\/c**(-32)*c\/(c*c*c\/(c*c\/(c\/(c*c*c**29\/c))*c)*c*c)) assuming c is positive.\nAnswer: c**(-43678\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(425) + -1)*5)**2.\nAnswer: 10625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17788 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 216*p - 206. What is the thousands digit of l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -6045?\nAnswer: 1\/2015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4970*n + 26483*n - 9492*n)*(-2 + 1 + 2) as a*n + u and give a.\nAnswer: 21961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2199 + z - z + z.\nAnswer: z + 2199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slp when three letters picked without replacement from {u: 1, s: 1, p: 7, l: 4}.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 501103407 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 19 - 2 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1598092*0.082.\nAnswer: -131043.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, b: 9, y: 2, m: 1, v: 1, s: 1}. What is prob of sequence zbb?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 7*y**2 + 5*y - 14. Calculate o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 48 = l. Suppose l + 21*s**2 + 15*s + 4*s**3 + 5*s**3 - 5 = 0. Calculate s.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -5.8. Let s(k) = k - 5. Let n be s(10). Let j be 7\/(-42) - n\/42. What is the second smallest value in j, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30919 is divided by 192.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 - 309*s\/5 + 558.\nAnswer: 3*(s - 93)*(s - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 6 = 2*y. Let p(h) = -4*h - h + y*h. Let z(c) be the second derivative of -c**3\/3 + 9*c. Calculate p(z(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 18*p**2 - 5229*p + 334316. Give h(95).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1016 and 826424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18292049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**3 - g**2 - 2*g - 2. Let z = -1 - 1. What are the prime factors of p(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, o: 1}. What is prob of sequence rrr?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1377717 + 1378453 = 23*j for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 take away -74?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5\/7 + 12052*r**4\/7 - 96108*r**3\/7 - 156628*r**2\/7 + 1105456*r\/7 + 1153920\/7 = 0. What is r?\nAnswer: -3, -1, 4, 8, 3005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(85) - (sqrt(85) + sqrt(85)*-2)*3))\/(6*(sqrt(405)*2 + sqrt(405))).\nAnswer: 2*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let f = 102 + -17. Let j(n) = 15*n**2 + 85*n - 85. Let i(w) = -w**2 - 6*w + 6. Let v(z) = f*i(z) + 6*j(z). Calculate v(p(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 95. What is the closest to 2 in 6, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -84, -172, -294, -450?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzz when four letters picked without replacement from {q: 1, k: 3, z: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*b + 4, 5*z - 1 = -b - 2. Let v(j) = -j**2 + 2. Let u(f) = f**2 + 1. Give z*v(g) + 2*u(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1608099 and 245256.\nAnswer: 2787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 292398839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - x + 1. Suppose 5*o = -y + 14, -14 = o + y - 5*y. What is t(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*x - 6*x. Suppose 0 = -3*z - 0*z - x*d + 6, 0 = -2*d - 6. What is the derivative of z - 19*q**3 + 5 + 5 wrt q?\nAnswer: -57*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110556)\/(-4482)*(-9)\/10*(-5)\/3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -31\/6*m**3 + 33*m**2 + 0 - 20*m. Differentiate b(o) wrt o.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7020 divided by -52.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**15)\/(i\/(i**(-6)\/i)))\/((i*i*i\/(i**(1\/2)\/i)*i)\/i*i**(-3\/4)\/i*i*i) assuming i is positive.\nAnswer: i**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51379189.\nAnswer: 51379189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 + 16*f**3 + 27*f**3 - 15*f**3.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)\/w*w*w**(3\/17)*(w*w*w**(-3\/17)\/w*w*w*w*w)**22 assuming w is positive.\nAnswer: w**(1722\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(2299) + -4)**2 + 4*sqrt(2299)*5)*-1*-2.\nAnswer: -88*sqrt(19) + 13886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 - -71. What are the prime factors of ((-15)\/5)\/(v\/301)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2469901327?\nAnswer: 257, 9610511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2117 is divided by 63?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/16*2752\/258?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 70213, 4, 0.2, -2\/9 in descending order.\nAnswer: 70213, 4, 0.5, 0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/976 + 955\/6832. Sort 0, s, 84 in decreasing order.\nAnswer: 84, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 4*m = 6, -5*m + 23 = 4*a. Let z be (a\/45)\/((-3)\/(-15)). Let u = 9.9 - 10. What is the third smallest value in u, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4115342 or 4115343?\nAnswer: 4115343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 472, 28359, 9 in descending order.\nAnswer: 28359, 472, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -347179 and 76.78777.\nAnswer: -347102.21223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 13811518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5026 - -5027. Sort z, 1432, 3, -0.5 in descending order.\nAnswer: 1432, 3, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000038655 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894\/7 equal to 270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 4*t + 3. Let z be a(3). Suppose z = 5*g - 0*g. Suppose g = 3*p - 3 - 12, -2*p + 6 = -w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -267107 minus -521.46?\nAnswer: -266585.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 3*i - 1. Let q be d(3). Let w(c) = -c**2 + 9*c - 6. Let k be w(q). Suppose 166 = 5*x - k*x + m, 3*m = 3*x - 150. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 649 - 644. Calculate the lowest common multiple of m and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 20. Let f(a) be the second derivative of -a**4\/12 - 7*a**3\/3 + 4*a**2 + a. Is f(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2. Suppose -7*u = -2*r - 3*u - 4, -4*u = -8. Let l(p) = -68*p + 36. Let y(f) = -2*f + 1. Let x(o) = r*l(o) - 72*y(o). What is x(t(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1168.8 - 1168.73923. Round v to three dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.17081 - 28.64267. Let t = 46.8134784 + d. Let r = t - -20. What is r rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139384 = -5*q + 140696. Suppose -18*n + 48222 = -q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.1104.\nAnswer: -0.04416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 526407769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 302987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 1236?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42285 + -298317\/7. Which is bigger: x or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 22 = 2*c, 2*c - 68 + 0 = -4*a. Suppose 3*t - b = -19, 2*t - b + a = 3. Let q = 82 - t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a = 90. Let n = 22 - 17. What is the remainder when a is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-9)*((-240)\/(-56) - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46441 is divided by 6628?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34874 is divided by 645?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Which is the third smallest value? (a) m (b) 0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 7:06 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 1. Let p(b) be the third derivative of -b**5\/20 + b**4\/24 + b**3 - 2*b**2 - 3. Calculate 4*c(u) + p(u).\nAnswer: u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 5*x - 10*x + 4*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-11168)\/(-704) + (-2 - (-10 - -1))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 5025?\nAnswer: 5031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 100. Let m = 89 + v. Let h = m - -19.8. What is h rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9685? (a) -11 (b) -2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27533 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1100 - -1102. Solve 3*z - d = 2*l + 7*z, 5*l + 3*z - 9 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*r + 102*r + 107*r + 79*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56210*m + 51451*m + 418792 = 0 for m.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 12*q + 23. Let f be 2\/q*(-108)\/168*-7. Solve 5*p = f*i - 20, i - 4*i + 11 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -92859, -92857, -92853, -92847, -92839, -92829, -92817?\n\"Answer: o**2 - o - 92859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/47 and -98\/38775?\nAnswer: 38775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1147369*h**3*j + h**3 - 2495*h**2 - 9*h + 2 wrt j.\nAnswer: -1147369*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 1271*c**4\/4 - 70*c + 2. Let p(x) = x. Calculate p(r(m)).\nAnswer: 3813*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1046)\/(-7) + (-33)\/77?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b + 30. Suppose 5*w - 2*w = b. Suppose -w*u + 11 + 104 = 0. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o. Let f = -1.7 + -0.3. Let q = 0 + f. Sort 3, o, q in ascending order.\nAnswer: q, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/26529147 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 0.0896.\nAnswer: 0.5376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 447553291 to the power of 1\/3, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 22578*c**2 + 213*c - 213. Let f(x) = -213*x**2 - 2*x + 2. Determine 213*f(u) + 2*z(u).\nAnswer: -213*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 11241.3 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 867078257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.231912 rounded to one dp?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -631?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**8\/960 + r**5\/40 + r**4\/8 - 3*r**2. Let n(y) be the second derivative of s(y). Differentiate n(z) with respect to z.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578 is divided by 487.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750104487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22714\/2470 - 19516\/(-4820452)?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*l + 2166 - 765 = -3791 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 0*d**2 + 1\/24*d**4 + 1\/6*d**3 + 11*d + 0. Find x such that s(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61061017015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 629 or 628?\nAnswer: 628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 1 + 1 + (-3 - 3 + 2)*(-3 + 2 - 69*z + 72*z) + (-z + z - z)*(4 + 0 + 1).\nAnswer: -15*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*s - 2)*(-1 + 1 - 1)*(-4 + 4 - 5)*(-6*s**2 + 5*s**2 + 0*s**2) to the form n*s**2 + c*s**3 + w*s + h and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 1 + 0\/(-19). Sort 3, n, -3.\nAnswer: n, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 1\/5, -1.2 in descending order.\nAnswer: 5, 1\/5, -1.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 4 - i + 2*i**2 - 5. Let o be v(3). Suppose 7 = -3*a - o. Sort -4, a, 0 in decreasing order.\nAnswer: 0, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bybb when four letters picked without replacement from yybbbybbybbyybybyby.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/31)*a\/a**1)\/(a**(8\/7))**22 assuming a is positive.\nAnswer: a**(-5470\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.083\nAnswer: 0.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3 (b) 2 (c) -0.035 (d) 1 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 102. Give g(-3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 5*f + 53 = 8*l - 4*f, -4*l - 36 = -4*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 - -4d?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 4*h + 6. Which is the third biggest value? (a) -3\/5 (b) h (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/4 - 5643*q**2\/4 - 101961*q\/4 + 356643\/4 = 0.\nAnswer: -21, 3, 5661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 b when four letters picked without replacement from {n: 1, w: 3, b: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 43. Let d(m) = -7*m. Calculate d(c(x)).\nAnswer: -7*x - 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1688435 and 1.3659.\nAnswer: -1688433.6341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52025144 (base 6) to base 5.\nAnswer: 340343403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -27\/2. Let n = 1\/4 + h. Let a = -0.2 + -0.8. Do n and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91821 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43662 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18902 = -4*o - 2*d, 5*o + d - 9747 - 13879 = 0. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 5*w - 3*w)*(-3 + 1 + 1) + 9 + 598155*w + 18 - 598191*w as j*w + z and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5019 - 2179. Is c a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**10\/2520 + t**6\/120 + t**3\/2 - 2*t. Let d(u) be the second derivative of a(u). Find the third derivative of d(j) wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbkkkkpzkv. Give prob of sequence pbkk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030839002 rounded to six dps?\nAnswer: -0.003084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 12:02 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 44 = -3*x, -5*a = -121*x + 118*x - 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 488*t**3 - 3*t**2 - 3*t - 3. Let d(x) = -319641*x**3 + 1964*x**2 + 1964*x + 1964. Determine 1964*a(h) + 3*d(h).\nAnswer: -491*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = -2*q + 4*a, -q + 9 = 5*a. Suppose -20 = -14*d + 4*d. Sort q, 5, d, 0 in descending order.\nAnswer: 5, d, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -175.8?\nAnswer: 175.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 2724?\nAnswer: 2724.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 13, -1, -11, -17, -19?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001 (base 3) in base 16?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -4. Calculate the least common multiple of 10 + 3 - 3 - -1 and -2*u*6\/(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 1:29 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838944?\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1906, 2062, 2220, 2380, 2542, 2706?\nAnswer: 2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -394660.9 rounded to the nearest 100?\nAnswer: -394700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3) + 15\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -9. Suppose 40 = v + b*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 + 3)*(-94)\/32 - 2 and -95\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 + 7*h + 17. Let d(m) = -m**2 - m. Let y(a) = -4*d(a) + x(a). Let o be y(-10). Differentiate 103*g**3 - 4 + 2*g**4 - 103*g**3 - o wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (3 + -10 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**2\/2 - 7*x - 6. Let h be d(-7). Let v be (-2 + -44)\/(h - (4 + -2)). Solve v - 6 = q + 3*u, u - 15 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11.06 (b) -0.4 (c) 2\/9 (d) 0.059 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -17*l**4\/8 - 38*l**2. Let z(a) = 2*a**2. Calculate i(z(p)).\nAnswer: -102*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-375)\/25 + 15)\/(-8). Let i be -1 + (-2)\/(-4)*2. Let h be 2 + i\/(-1 - -2). Solve 10 = h*y - v*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/1 + (-656)\/32 and 4\/48*(255 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 - 8*t**2 - 34*t**2.\nAnswer: -51*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27832.869ms in days?\nAnswer: 0.0003221396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-30)*((-8)\/(-1060))\/((-760)\/4750)\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*h**2 + 28*h - 28*h.\nAnswer: -110*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y + 5. Let g be t(-2). Suppose -53 = -2*u + 4*k - 7*k, 5*u + 3*k - 110 = 0. Solve -g*o + 12 = -u*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 97*y + 11458. Determine o(-69).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*h**2 - 18*h*m - 4805*h + 2367574*m wrt h?\nAnswer: 8*h - 18*m - 4805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29872*i**4 + i**3 + 138*i**2 + 466691736*i wrt i?\nAnswer: 358464*i**2 + 6*i + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 6 (b) -11 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*f + 4, 0 = -4*q + 5*f - 2*f + 6. Calculate the remainder when q is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6436*-16.\nAnswer: 102976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 0*j - 1 + 4*j - 179*j**2 + 182*j**2 - 2*j**3 to a*j**4 + l*j**3 + y + x*j**2 + s*j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, d: 8}. What is prob of picking 2 d?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 2*g**2 + 2*g - 2. Let y be d(2). Let r be 2 - -1 - y - 1. Suppose r = n + 2*n - 99. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*k = 255*k - 5. Sort -1, 11, k in increasing order.\nAnswer: -1, k, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**5 - 140*z**3 + 2*z**2 - 75021*z.\nAnswer: -20*z**3 - 840*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1353*o**2 - 2748*o**2 - 1 + 1505*o**2.\nAnswer: 110*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 20*h**3\/3 + 5*h**2\/2 - 20. Factor j(o).\nAnswer: 5*o*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.095, 0.2 in decreasing order.\nAnswer: 5, 0.2, -0.095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 257547599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 i when four letters picked without replacement from {i: 2, o: 1, t: 1, g: 1, e: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -104875.5 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/52 and 47\/221.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440 (base 5) in base 15?\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 2*p. Suppose p = -6*o + 5*o + 3. Let s be (18\/15)\/((-12)\/(-40)). Solve k - 23 = -o*l - s*k, 5*l + 3*k = 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433, 727, 1021, 1315, 1609, 1903?\nAnswer: 2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86)\/172)\/(4*(-21)\/560)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1677 - 281 = -2*r. Suppose -4*n + 6353 = i - r, 0 = -n + i + 1828. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 18. Give d(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j**3 - 3*j - 10*j**3 - 8*j**2 - 1 + 2*j. Let l be m(-8). What is the greatest common divisor of l and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112579211, -112579212, -112579213?\nAnswer: -112579214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 2. Let y be t(2). Let g be (y\/(-4))\/(4\/(-16)). Let p be (9\/6)\/(g\/(-8)). Solve -p*l + 6 = -2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/6 - (-11)\/33. Let i(t) = -t. Let p be i(-3). Find the second derivative of c - 5*c**3 + c**z + 0*c**3 + 3*c**p wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 16 = 3*l. Let z(x) = -6*x**2 - x - 6. Let s be z(l). Let w = 142 + s. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2352) + 2 + sqrt(2352))*1*-4 + -4)**2.\nAnswer: 1792*sqrt(3) + 150544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1152736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14523, -56810, -127287, -225954, -352811, -507858, -691095?\nAnswer: -902522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 8523\nAnswer: 2556.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7449 + -7445. Solve -s - 15 + 11 = -4*v, 0 = 4*v + t*s + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63564380*w**4 + 1410704*w**2 - 1.\nAnswer: -1525545120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(-25*(-52)\/120900).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437784.\nAnswer: 2, 3, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*g = -w - 6, 5*w = 4*g - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8b (base 16) to base 5\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -4, 1, -5\/2 in decreasing order.\nAnswer: 32, 1, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2. Let r(q) = -2876*q. Give d(r(a)).\nAnswer: 24814128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4439 + 2494. Let m = 3282 + l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6256910874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -z + 5*d + 5, 5*z - d - 21 = 0. Suppose -z*h + 12 = 4*a - 4, -a + 4*h = 1. Let g(b) = -b**2 + 5*b. Let f(v) = v. Give a*f(x) - g(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*45\/(-5)*(-1)\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/39)*j**13 assuming j is positive.\nAnswer: j**(505\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10880 is divided by 119?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 341 - 295. What is the third smallest value in 1, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1779 + 17773\/10. Let y be 1344739\/186 + (-1)\/6. Let k = y + -7229. What is the common denominator of k and z?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1 = 34. What is the tens digit of 216\/g + (-8)\/(-56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**8)**(1\/40) assuming r is positive.\nAnswer: r**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -5 (c) -4 (d) -2\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**5\/90 + 31*c**4\/54 + 104*c**3\/9 + 112*c**2 - 2509*c. Find o such that w(o) = 0.\nAnswer: -12, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -58 + 57. Is 1\/13 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 14. Let z(g) = -8*g + 44. Give 11*a(i) + 4*z(i).\nAnswer: i + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 2168.\nAnswer: 101896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let l(q) be the first derivative of -29*q**2\/2 - 57. Determine l(p(u)).\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1063, -989, -793, -415, 205, 1127, 2411, 4117?\nAnswer: 6305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = 2, 4*m + 5*s = -2. Let d be 6\/21 + 66\/14. Which is the closest to 0? (a) d (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6 - 10*f + 4*f - 7 + f**2 - 5. Suppose 29*l + 72 = 37*l. Give d(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1458 and 101\/18?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1629145589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5484 and 1972?\nAnswer: 2703612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(2700\/(-61935)) - 4\/(-10). Which is greater: -414 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -388331 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 3. Let x be k(0). Let f be x\/18*2*-69. Does 14 divide f - (-5 - (-4 + 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o + 264. Suppose -25 = -5*c + 15. Let m = -2 + c. Calculate the highest common factor of o and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269405 to the power of 1\/2, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2. Let n(b) = -11*b**2 - b - 2. Let c = -4 - -1. Let g(t) = c*l(t) - n(t). Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2)\/(-12)*-1). Let f = 570.0981 + -0.0981. Let h = -569.9 + f. What is the closest to h in p, 2\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 669758, 2679044, 6027852, 10716182, 16744034, 24111408, 32818304?\n\"Answer: 669761*d**2 + 3*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 0.43. Let x = -0.2 + y. Put -5, x, -3 in descending order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*g - 195, -g - 2*g - 193 = -z. What is the remainder when z is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z + 15 = 0. Suppose -15*c + 8*c**2 - 4*c**2 - 4*c + z*c = 0. What is c?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -70, -1, 8 in increasing order.\nAnswer: -70, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = 4*j + 3*b, -5*j - 13 = -4*b. Let x(p) = -3*p + 1. Let m(s) = -7*s + 4. Let g(u) = -m(u) + 4*x(u). Calculate g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*v - 9, -4*v - 8*k - 17 = -5*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65784 + 121930. Suppose 7272 - u = -14*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + n**2 - 3*n)*(3*n**3 - 4*n**3 + 2*n**3)*(-2 - 4 + 4).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 101967955.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 29*c**2 + 10361*c + 519159. Calculate u(-297).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3.3, 200?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164*f**2\/9 - 746038*f\/9 + 9098\/9.\nAnswer: 2*(f - 4549)*(82*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, d: 3}. Give prob of picking 3 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174302 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 2812?\nAnswer: 9\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*r**6 + 89*r**4 - 6*r**2 - 50.\nAnswer: 1080*r**3 + 2136*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/5 and -19\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 11 + -5 + 10 - -24.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1566 and 411327?\nAnswer: 71570898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8. Suppose 3*a + m*a = 6. What is the lowest common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262 - ((-2)\/(-6))\/((-14)\/84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329184, -658341, -987498?\nAnswer: -1316655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**3\/5 - 72*c**2\/5 + 1083*c\/5 - 504 = 0.\nAnswer: -35, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbb when three letters picked without replacement from wwbnbnwwbwjwb?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4346118 by -620874.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/((-5114)\/(-3344556)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 10*f + 2. What is the third derivative of 2 + b**2 + f - 11*b**6 - 3 wrt b?\nAnswer: -1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeexxx. Give prob of sequence exe.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20636*r - 7068*r - 8645*r - 9777*r.\nAnswer: -4854*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 12*j**2 - 14*j + 14. Calculate o(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c - 15. Let w be a(10). Are 15 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -458 + 949. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, 0.2, -0.08, -3\/4 in descending order.\nAnswer: 16, 0.2, -0.08, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*k**3 - 12*k**2 - 4*k - 69.\nAnswer: 48*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76\/225 + 14\/25. Let h be 1 - 2*6\/20. Which is the nearest to h? (a) u (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5244 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(108\/(-10))*5256\/3285.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + k**5 - 4 + (4*k**4 - k**4 + 0*k**4)*(4*k - 4*k + 4*k) - 2*k**5 + 0*k**5 + k**5 - 3*k**2 - 2*k**5 + 7*k - 7*k - 2*k**3.\nAnswer: 10*k**5 - 2*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -61 times 12\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1921 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 19*d**2 + 66*d - 155. Let j be o(-13). What is the closest to 14 in 5, -1\/8, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5025 and 27.\nAnswer: 45225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 12, 0 = -m - 7*b - 6093 + 6067 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 19 + 17*v - 29.\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*n + 4*w, -34 = -3*n + 2*w - 1. Solve 0 = 5*o - 2*o + n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-36)*(-501)\/(-25551)\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -3.935?\nAnswer: 7.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 17366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*k = -51, -21 - 18 = -4*n - 3*k. Let h(l) = -14*l + n + 4 - 2. Let c(p) = p - 1. What is 12*c(i) + h(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = -o + 8, -o = -3*u + 4. Solve 4*b + o*l = -4, -b = -4*b + 3*l + 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -10, -7, -2, 5, 14?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2214006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236 and 2006?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108317 and 5496.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7058816036.\nAnswer: 2, 1764704009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -l - 9, -7 = 3*v - 2*l + 3*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 271071229 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4680 divided by 20.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 39*h - 11*h - 12*h - 15*h + 2. Let q = 12 - 4. Suppose -3*f + q = 2. Give w(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21752656703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Let z(s) = s**2 - 7*s - 1. Let x(i) = -i. Let q(y) = t*x(y) - z(y). Let d be q(3). Solve 5*l + 4*p = -24 - 7, 3*l + d = 2*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -28645 in ascending order.\nAnswer: -28645, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3797 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -97. Suppose 4*h + o = -3*n, n - 4*n - 35 = h. Calculate the smallest common multiple of (-32)\/n*2*3 and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244418 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67905 is divided by 22635.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 229*b**3 - 232*b**3 - 1 + 12*b - 2*b**4 in the form u*b**4 + i*b**3 + r*b + m + v*b**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8\/96*-9)\/3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*v**2 + 36*v - 36*v - 306*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.56 + 14.7833. Round o to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/30 and 77\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 9, -2*g = -4*i - 16 - 8. Let t be g\/4*(-20)\/(-45). Let q(y) = y**3 - 2*y**2 + y - 1. What is q(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from zqzqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 1. Let u = -2 + 3. Let f be o(u). Suppose -49*j = 66*j + 37*j - 456. Solve -j*w = -f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**2 - 25*z**2 + 5 - z**2 - 2*z**3 + z. Let p be h(-10). What is the third smallest value in p, -3\/8, -2\/11, -1.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c + 3. Suppose 2*o = u + 1, 3*o - 7 - 2 = 3*u. Let w(x) = -3*x - 4. Let d(n) = u*w(n) - 6*p(n). Determine d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let q(m) = 2*m**2 + 68*m. Calculate q(n(t)).\nAnswer: 2*t**2 + 68*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 353 = -49. Suppose 156*l + 8 = p*l. Let u = -11 - -15. Put -42, 1, l, u in ascending order.\nAnswer: -42, l, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*a**5 - 1\/3*a + 0 - 1\/6*a**4 + 5\/6*a**2 - 1\/2*a**3.\nAnswer: a*(a - 1)**3*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-182)\/36)*3. Put x, 0, 0.3, -6 in ascending order.\nAnswer: -6, 0, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -21 - (-338 + 340)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2622 + 10732. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14933497 divided by -289.\nAnswer: 51673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131465?\nAnswer: 5, 26293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.31 + 88.31. Let d = -654949575 - -654949486.9999846. Let n = t + d. Round n to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -53339096 from 0.\nAnswer: 53339096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 - -95. Suppose 5*l - 5 - 20 = 0, -3*y + c = 4*l. Sort -19, y, -3, -5.\nAnswer: -19, -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 119 + 85 = 52*w + 31 + 35, 4*i = 5*w - 51 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4\/125 (c) -822\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 452646 and 1080?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 5 = 5*l + 5*g, 3*l - 17 = 5*g. Let p(w) = -70*w**3 + 31*w**2 - 21*w**2 - 11*w**2. Does 4 divide p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from ljlmglljvllzlvl.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012993 is divided by 500.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47901 and 3.\nAnswer: 47901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 547 + -548. What is the smallest value in f, -0.6, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8622*o + 14 = 4*x + 8624*o, -4*x + 2*o = -18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*i**4*l*m - 26*f*i**4 - f*i*l - 5*f*i*m - 3*f - 3*i**3*l + 2*i**2*l + i*l wrt i.\nAnswer: -24*f*i*l*m - 624*f*i - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -290789?\nAnswer: -290788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -61?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49006 and 637078?\nAnswer: 637078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22*u + 232. Calculate the smallest common multiple of 312 and t(7).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 112. Factor 1 + 49\/4*n**b + 7*n.\nAnswer: (7*n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270 - 3*s**3 + 270.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(17 + (-78)\/6) - (-86)\/10. Let z be ((-2)\/7)\/((-6)\/(-14)). Let g = -1 - -3. What is the nearest to z in 2\/3, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/2*(-8)\/10. Suppose -k = -t*w + k - 2, 4*k - 20 = -4*w. Suppose 0*x - 10 = -w*x. Solve -x*o + 4*f - f = -9, 0 = -5*o + f + 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1756108.\nAnswer: 3512216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 34. Let m = 18 - 25. Let z = m - -7. What are the prime factors of u(z)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*z = -392, -r - 95 = -2*r + z. Let b = -95 + r. Let o be -2 + 15*b\/12. What is the closest to o in 0, -4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 341*i**2 + 4*i + 7. Is r(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6941*g + 94. Let l(v) = -4*v + 2. Calculate h(l(z)).\nAnswer: 27764*z - 13788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 3*x**3 + 0*x + 11\/2*x**2 - 6. Find the second derivative of y(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-55)*43 + 15\/25\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + -3*sqrt(1100) + 5.\nAnswer: -30*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, u: 3, c: 1, e: 3, f: 3, d: 2}. What is prob of sequence uc?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 64*j + 481. What is the units digit of q(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*sqrt(17) - (-3 + (-1*sqrt(17))**2).\nAnswer: -3*sqrt(17) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-72 - -52 - (6 - 36))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 5)*(0 - 5 + 2) + 8 - 4 + 6)*(34*x**2 - 34*x**2 - x**3).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -1447, -3104, -5435, -8446, -12143?\nAnswer: -16532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2639, 5228, 7793, 10322, 12803, 15224, 17573, 19838?\n\"Answer: -2*h**3 + 2603*h + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 804 and 30905492?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 12 + -5 + 8 + 7 - 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 344, 507, 670?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/18907 and -25\/3570722.\nAnswer: 24995054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -23*y. Let p be o(7). Let b = -70 - p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-8) + 1339\/(-2472). Which is greater: x or 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/14*20\/(-90).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffu. Give prob of sequence ff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -163?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**2*c)\/c)\/c)\/(c*c\/(c**(5\/3)\/c)))\/(c**1)**(5\/2))\/((c**(-6\/11)*c)\/c**4)**(-9) assuming c is positive.\nAnswer: c**(-2293\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-729)\/(-324)*1\/(2\/(-8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -200, -1126 in decreasing order.\nAnswer: 0, -200, -1126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/((2 + (-50)\/(-20))*(-648)\/(-1458))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 95*g = -6*g - 24*g. Determine i so that 3\/7*i**4 + g + 6\/7*i + 3\/7*i**5 - 9\/7*i**3 - 3\/7*i**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 5*m = -6*h + 1, -4*h - 4*m = 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, -97\/32007 in decreasing order.\nAnswer: 0.3, 0, -97\/32007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 7 + 8 + -1 - (1 - -2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 1. Suppose 0 = a - h + 3. Suppose -3*p - 3 = 5*b + 4, 0 = -5*p - 2*b + 20. Solve a*n + o + 4 = p, n + 2*o = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87717 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -981, -1958, -2937, -3918, -4901?\n\"Answer: -j**2 - 974*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1256901, 1256900, 1256899, 1256898?\n\"Answer: -a + 1256902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -178544a?\nAnswer: 1785455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2673 = 2*u + 4*g + 21, -1320 = -u + g. Suppose 0 = -3*o + o + 5*i + 538, 0 = 5*o - i - u. What is o rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3021 - -3105. Which is greater: 165\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1147 - -1159. Calculate the greatest common divisor of 204 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 7854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120.1 + 120. Which is the biggest value? (a) p (b) 0.08 (c) 0.2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 498911.708558592 - -7293.216443308. Let w = y - 506205. Let c = w - -0.075. Round c to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59179794*g - 89 + 89 + 59179797*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -593740.829 rounded to the nearest 10000?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 489?\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 - 87. Are n and 77 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91664527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6747849, -13495704, -20243559, -26991414?\n\"Answer: -6747855*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + (-7 - -5). Which is the closest to 3? (a) 3 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 510730126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*(-10)\/(-150))\/((-17)\/2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 187.6.\nAnswer: -1876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13 (b) 16.1 (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2*a + 1 = 3, -m - a = 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10425 != 10435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**5 - 17*q**2 + 8*q + 8. Let t(i) = i**5 + 6*i**2 - 3*i - 3. Let x(n) = 3*s(n) + 8*t(n). What is the third derivative of x(j) wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -90*v**2 - 5*v - 2. Let d(x) = 92*x**2 + 3*x + 3. Let i(s) = -5*d(s) - 6*g(s). What is the remainder when i(1) is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(152)\/(sqrt(8)*2) - (-2 + sqrt(1539))) - (2*3*sqrt(76) - sqrt(76))\/(sqrt(24)\/sqrt(54)))**2.\nAnswer: -126*sqrt(19) + 8523\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -14 + -10 - -19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1495 and -39.696?\nAnswer: 59345.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 780*n. Let b(x) = 1189*x - 1. Calculate p(b(z)).\nAnswer: 927420*z - 780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395, -1979, -4665, -8447, -13319, -19275, -26309, -34415?\nAnswer: -43587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 906*c*m*o - c*o + 3*m*o + m - 133*o + 1 with respect to c.\nAnswer: 906*m*o - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:40 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16533515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -78. Let h be (-1)\/(0 + (-1)\/i). Let t be (-14)\/72 + (-8)\/h. Is 0 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2 + 1\/2*a**2 + a. Let c(m) = -m - 1. Calculate -5*c(n) - 6*u(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Suppose -j = -z*j. Suppose 3*v + 2*x + 53925 = -63073, 3*x - 3 = j. Round v to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*p = p + 6, 5*f - 20 = 5*p. Suppose 3*d - 228 = 3*t, -f*t - 58 = 2*d - 230. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16416957246 plus 1?\nAnswer: -16416957245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.40873 + -35.35382529. Let f = 717.9451 + -718. Let u = f + r. What is u rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*g**3 + 28*g**3 - 69*g**3 - 78*g**3.\nAnswer: -541*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47.8 - 47.3. What is the second smallest value in -1, 1\/5, 9, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciiccciyiyiyiciiiiyc. Give prob of sequence yiic.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 2856.\nAnswer: 105672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-12))\/(2\/6). Let k be (11 - 5)*j\/(-18). Factor 2\/3*i + 0 - 2\/3*i**2 + k*i**4 - 2\/3*i**3.\nAnswer: 2*i*(i - 1)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182067?\nAnswer: 131, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*c - 23. Suppose 3*h = 8*h. Let k = 4 - h. What is the highest common factor of c and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by 3346\nAnswer: 130\/1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.17. Let g = -3\/631 - 625\/1262. Which is the second smallest value? (a) g (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 - 2 = 0. Let a be (1\/p - 1)\/(-2). Solve a = 7*u - 4*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.004 + -113.996. Let n = -114.00255 - i. Round n to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101424512 + -23?\nAnswer: -101424535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5084 divided by 1?\nAnswer: 5084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -11010?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 10. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 7*u - 57. Determine n(13).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587 = -18*i - 569 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7482*i**6 + 37*i**2 + 49?\nAnswer: -897840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1332622485 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 48761*o**2 + 7*o - 4. Let c be r(-11). What is c rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*y**3 - 2*y**2 - 16\/7*y.\nAnswer: 2*y*(y - 8)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.369 (c) 1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(4 + sqrt(252) + (sqrt(252) - -1*sqrt(252)))*-5)**2.\nAnswer: 57600*sqrt(7) + 913600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let b be n(-3). What is the units digit of 16\/6*b\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 371*t**2 + 701*t**2 - 5*t + 315*t**2 + 6*t. Let u be y(1). Is u\/(-6)*(-21)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/(-2625)*(-5 - 0) + (-154)\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 822, 3031, 6628, 11607, 17962, 25687, 34776?\n\"Answer: -z**3 + 700*z**2 + 116*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138728750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103\/15 - (-152)\/1140.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 3107360?\nAnswer: 9322080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214\/28577 - -10803795895\/514386. Let m = w + -20998. What is the common denominator of -35\/18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02752 to 3 dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(4*r**3 + 0*r**3 - r**3) + (4*r**2 + r**2 - 7*r**2)*(4*r - 5*r + 3*r)*(3 + 1 - 2).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + -4 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t - 6 = 0. Let s be (-2 + t)\/1 + 4. Suppose 212 + 113 = s*u. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*m - 43 + 701*m**2 + 78 - 25 wrt m?\nAnswer: 1402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90 and 3.8.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and 5.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159.3792 - 15.3919. Let t = -144 + v. What is t rounded to four decimal places?\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*n - 2, -4*o + 3*o - 3*n - 17 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-10))\/(37\/(-518)*42\/(-20)). Let m(x) = -11*x - 18. Let d(o) = 4*o + 6. Calculate n*d(f) - 3*m(f).\nAnswer: f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**5*i\/i**(1\/37)*(i*i*i**(-14)\/i)**(-15\/2) assuming i is positive.\nAnswer: i**(6991\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 644426205*t - 888005700?\nAnswer: 644426205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -15. Let v = s + -0.9. Sort 2, -0.1, v.\nAnswer: -0.1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64140 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150940163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 3 = 7*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 47 + 175 = 118 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1697, 946, 199, -544, -1283, -2018?\nAnswer: -2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 282*b - 13 - 2.\nAnswer: -282*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -0.28459?\nAnswer: -0.28459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1260\/297)\/35)\/(12\/22). Put -2\/11, j, -6\/7, -0.5 in descending order.\nAnswer: j, -2\/11, -0.5, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 23. Calculate the highest common factor of n and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.02 - 36. Let q = -0.28 - x. Let n = q + 0.29986. What is n rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from ttdpddlppddtmt?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 111, 281, 523, 843, 1247, 1741?\nAnswer: 2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 0 - 3*d - 1 + 0. Let l(y) = -8*y + 10. Let x(h) = l(h) + 10*m(h). Let g(f) = -4*f. Calculate x(g(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 132*f + 3431. Let y be d(-26). Let x = 4.5 - 1.5. Which is the closest to 44? (a) -0.2 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - -67?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1474*p**2 - 3. Is f(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 13. Let q be n(13). Let l be (-2 + q)\/((-9)\/(135\/(-6))). Sort -2, 3, l, 2 in descending order.\nAnswer: 3, 2, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1510456, 3020925, 4531394, 6041863?\n\"Answer: 1510469*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -9.88. What is the biggest value in 3, h, -4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**5 + 0*v**4 + 1\/2*v**2 + 0*v + 15 + 0*v**3. What is the second derivative of l(y) wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -3. Suppose -t = 3*t - g. What is the third derivative of -m**5 + 0 + 0 - m**t wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -58. Let n be ((-78)\/t - 4)*4. Suppose -n*m + 1040 = -6*m. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 254 + -255.39. Let m = a + 1.49. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z - x - 4, 2*x + 8 = 0. Let j be 1\/((z + 3)\/297). Let p be 8 + 1 + 0\/(-3). What is the highest common divisor of j and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j - 31. What is the tens digit of i(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156689134.\nAnswer: 2, 7, 349, 32069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -2*k. Solve 0 = -k*w + 5*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/6)\/(n*n**(3\/8)\/n*n))\/(n*n\/(n*n**(-7)*n))**(-27) assuming n is positive.\nAnswer: n**(4507\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 + 8245 = 5*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-353)\/45 + 6*2\/30 and -103\/105?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1089, 1065, 969, 765, 417, -111, -855?\nAnswer: -1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -26. Suppose i*j + 2*s - 298 = 0, -5*s = -4*j - j + 305. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from ohohhohohhhhhohhhh.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-30) + 17\/3. Suppose b - v = 1. Solve 2*h - 5*h + b = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 + 4*r. Let s(t) = -5*t**2 + 3*t. Give 3*b(z) - 4*s(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25324 - 0?\nAnswer: -25324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.94 - 0.06. Let n = 0 + -1. What is the closest to n in y, -4, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -79, -2 in ascending order.\nAnswer: -79, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 14*f**2 - 6*f - 4. Let d(k) = -3*k**2 + k + 1. Let a(h) = 5*d(h) + q(h). Calculate a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117190 is divided by 9232?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t = 78*t + 44. Let w(l) = l**2 - l. Let a(s) = 9*s**2 + 1. What is t*a(b) + 2*w(b)?\nAnswer: -7*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40825 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 1673064.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -3\/8, -18\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 + -67. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.803383 milliseconds to seconds.\nAnswer: 0.000803383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -19 - 5. Suppose 0 = 5*k + 1366 - m. Is k\/20*10\/(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3765, 15261, 34423, 61251?\n\"Answer: 3833*j**2 - 3*j - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4\/3 (b) -5 (c) 1\/10 (d) -271596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 517, 16, -1, -18 in descending order.\nAnswer: 517, 16, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 + -0.26. Let x = z - 5.6. Let a = -6.2 - x. What is the third smallest value in -0.5, -2\/13, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 12, -2\/3, 57.1, -1\/2, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 - i + 1. Let h be w(2). Find the second derivative of 27*g**2 + 16*g + 89*g**2 + 5 - 8 + h wrt g.\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-1))\/((-6)\/(-6)). Let n(i) = 7*i**2 + i - 1. Calculate the smallest common multiple of 14 and n(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3651 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 60*o + 665.\nAnswer: -5*(o - 7)*(o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q - 12 = -30*q. Suppose -4*h = q*u - 247, -17*h + 3*u - 311 = -22*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from vllvmvv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -2 - -111*(-1166)\/(-25758).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*h - 2*h - 3*h)*(-31*h - 50*h - 39*h) to the form u + r*h + f*h**2 and give f.\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -3*2\/(-3). Suppose -5*x + 0*x = -2*c - 36, -21 = -r*x + 3*c. Calculate the greatest common factor of x and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1568 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 5188004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n\/(n**16*n))\/n))**(1\/40)\/(n**(2\/7)\/(n\/n**(-4\/37))))**(1\/14) assuming n is positive.\nAnswer: n**(12923\/145040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s + 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-832650)\/(-57) + (-12)\/(-114). Let i = x + -22648. What is i rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -75\/2*g**4 + 0*g**2 + 21*g**3 + 173 + 0*g. Find the third derivative of x(f) wrt f.\nAnswer: -900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4864079 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 367*y - 2604. What is v(7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*l = 36, -3*d - 4*l + 25 = -37. Solve -6*a - 3*u + 30 = -a, -2*a + 4*u = d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j. Let t be 0 - (-2)\/(2\/(-27)). Let s be ((-9)\/t)\/((-1)\/(-6)). Sort -1, s, j in descending order.\nAnswer: s, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*s = -0*s + 125, -4*q + 100 = 4*s. Let r(p) = -p**2 - 15*p. Let u be r(-15). Suppose u*y + y = 13. What is the remainder when q is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548114013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 24 + (-68 - -47).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4438 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -1.8 in decreasing order.\nAnswer: 0.1, 0, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3352207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1716118 times -5\nAnswer: -8580590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 2. Let a be p(2). Suppose 0 = -a*y - y + 14. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -351 + 360. What is the lowest common multiple of 78 and s?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 1. Let x(z) be the third derivative of -z**5\/60 + z**4\/8 - 2*z**3\/3 + z**2. Determine x(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.4, 5, -213, -0.08, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4*205\/(-190))\/(-14) and 85\/56?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 p when three letters picked without replacement from {y: 3, q: 1, p: 3, m: 6}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117\/226 - 2\/113. Let x = 3.95 + 0.05. Let u = x + -3.7. Which is the second smallest value? (a) u (b) l (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44\/3 + 40\/3. Let s = 73 - 73.3. Sort x, 0.05, s, -2 in descending order.\nAnswer: 0.05, s, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -r - 9967, 0 = 2*l - 4*r + 2976 - 9604. Let p = l - 9754. Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9895 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: Calculate the remainder when 86559 is divided by 14426.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 + -5 + 2 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120222 (base 7) to base 3.\nAnswer: 1002210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68728357 is divided by 8591042.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {s: 1, w: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8463, 68880, 233265, 553602, 1081875, 1870068?\nAnswer: 2970165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 3*x**3 - 4*x**2 - 1001781*x + 1001781*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-99)\/(-22))\/9)\/((-2)\/(-360)*12)*-2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 1\/2662 (c) -16 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 11:45 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p - 10. Let c be x(-4). Let a be (-4472)\/32 - (-2 + c\/8). Is 41 a factor of 2 + a\/77 + 2770\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*z - 6, -5*a - z + 6 = -9. Let s(d) = 5*d**2 - 5 + 493*d - d**a + 1 - 496*d. Calculate s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**3 + 3*o**3 + 4*o**3 + 2 - 5 as b*o + a*o**3 + i*o**2 + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 293733 + 1?\nAnswer: 293734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59a83 (base 11) to base 3.\nAnswer: 11101122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 31*q + 101. Determine a(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012332446 take away -17?\nAnswer: 16.987667554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 12*k**2 + 19*k - 109. Calculate q(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) 0 (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 295 and 296 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1049655 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 - (-44)\/(-48). Let q = -286 - -287. Let t = -7 + 5. Which is the nearest to r? (a) q (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from {o: 2, u: 6, k: 1, i: 4}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/2)\/(308\/28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4069574 - 4069685.00027. Let z = -111 - a. What is z rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 107 - 41*l + 13*l - 63 wrt l.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 0, 2, 5, -588.\nAnswer: -588, 0, 2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -12*i. Solve i = 5*p - g - 27, p - g - 4 - 3 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 7:12 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5385, -10877, -16377, -21891, -27425?\n\"Answer: -m**3 + 2*m**2 - 5491*m + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 2559889*s - 15359298.\nAnswer: -(s + 6)*(s + 2559883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19, 43, 165, 347, 589, 891?\n\"Answer: 30*b**2 - 28*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Let p(u) = 6*u + 15. Let t be (12\/(-8))\/((-3)\/(-4)). Let i be p(t). Solve 0 = 3*y + b*l - 0*l, -1 = -i*y - 4*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 20 + (11 - -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*f = 658, -2*v - 50 = 4*f - 310. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*p + 17 = 0, n + p = 2*p + 9. Suppose -3 - n = -y. Let v be ((-12)\/10)\/(y\/(-25)). Solve 2*a + 7 = 5*m, 4 - 1 = 5*m - v*a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147 - 145. Suppose -4*c - 1212 = -9*c - j*m, -4*c - 3*m + 964 = 0. List the prime factors of c.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j**2 + 7*j**2 + j**5 + (-4 + 4 - 2)*(j**5 + 0*j**5 - 2*j**5).\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (323\/(-57) + 3)\/((-28)\/(-6)*(-4)\/7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n**4 + 82*n**2 + 0*n + 0*n**5 + 77\/6*n**3 + 0 + 101\/120*n**6. Find the first derivative of j(p) wrt p.\nAnswer: 303*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7\/h**(-1)*(((h**2*h)\/h)\/h)\/h**(-3))**(8\/3))**(-29) assuming h is positive.\nAnswer: h**(-928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + b**2. Let j(y) = -5*y**3 - 10*y**2 - 5*y + 3. Let g(c) = -4*h(c) - j(c). Let r = 4 - 9. Give g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -20. Let l = w - -19. Let y = 14 - 10. Solve 0 = -4*x - l, 9 = -v - y*x - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.009\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, 1, 4, -9\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -124, -128, -90, -4, 136?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2243 + 666. Suppose -3*k = -9, 371 = 5*d - 5*k - 6569. Suppose -d = -5*u + l. Round u to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 4. Solve d - q = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 9, 2, -4\/5, -124457?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 6 + 42 = 0. Solve -3*j + p*g + 37 = 9*g, 3*j + 2*g = 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 3:36 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158528799 divided by -8343621.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/246372 and -87\/3332.\nAnswer: 4188324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*h = -14014, -2*u + 636*h = 637*h - 14006. List the prime factors of u.\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2072 times 0.22?\nAnswer: -455.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*k - 123 = 621*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/944347 and -55\/9226?\nAnswer: 13220858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9*12\/(-198) + (-1713744)\/(-99)?\nAnswer: 2, 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9346769, 18693548, 28040327, 37387106, 46733885?\nAnswer: 56080664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r - 2. Let d(b) = -1. Suppose 0 = -3*q + 3*t - 3, -q - 5*t + 9 = -t. Let i(c) = q*f(c) + d(c). Is i(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3052)\/56 + 55)*8 - (-1)\/(-11)*61\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051 minus 121?\nAnswer: -120.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4988 and 48289?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024528 rounded to 7 decimal places?\nAnswer: -0.0000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u - u)*((2 + 1 - 5)*(3802 - 3802 - 25*u) + 5*u + 16 - 16 + (u - 1 + 1)*(-2 + 3 - 3) - 3*u + 3*u - 2*u).\nAnswer: 102*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 4. Let v be z(2). Suppose 4*r - 18 + 2 = v. Suppose 12 = -c - b + r*b, 5 = -5*c + 4*b. Solve 4*q = -4*y - 20, -c*y + 4*y + 2*q = -6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 24*i**2 + 130*i + 400. Let y be l(-3). Is y less than or equal to 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfufurhgrgrr. Give prob of picking 2 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 7:47 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.398319 + 0.098319. Let p be ((-10)\/6)\/((-2)\/6). Put -3, j, p in increasing order.\nAnswer: -3, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(3*u - u - u) + (0 - 2 - 2)*(-3*u - 1 + 1) - 3*u - 15 + 15.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**7\/35 - l**4\/24 + 2*l**2. Find the second derivative of m(d) wrt d.\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * 131232.\nAnswer: -4330656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -12*v + 13*v - 4, 3*f + 0*v + 4*v = 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, i: 5, w: 2, h: 7}. What is prob of sequence zw?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/(-68) + 13*(-13008)\/2496.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1781348, 3562722, 5344108, 7125506, 8906916?\n\"Answer: 6*r**2 + 1781356*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 824083.6723 to the nearest one hundred.\nAnswer: 824100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.38 and 10943413.\nAnswer: 10943413.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/7 - 9*t**2\/7 + 76*t\/7 + 12.\nAnswer: -(t - 6)*(t + 1)*(t + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.05425 * -1.683\nAnswer: 0.09130275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 2 - 2)*(j - j - 3*j) to the form x*j + k*j**2 + s and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 + 2*k**3 - 6*k**3 + (-5*k + 5*k - k**3)*(48 + 75 - 102).\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9360 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k - 318. Give r(-21).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Which is bigger: 22\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93726.55 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = 16. Let w(k) = -k**2 - 9*k + 5. What is the remainder when m is divided by w(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.21 - 0.21. Let z = 10.1 - c. Let x = 0.9 + z. What is the second smallest value in -4, x, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 - 5*c**2 + c**2 + (1 - 1 - 1)*(-12 - 19 + 4)*(3*c**2 + 0*c**2 - 5*c**2).\nAnswer: -53*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + -1 + -6 + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**17\/c*c**3*(c*c**(-3\/2)\/c)**(-1\/3) assuming c is positive.\nAnswer: c**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706351 at most as big as 1706351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(10\/2))\/(-1))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/18 + -2)*198\/(-12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/17 - 1650*b\/17 - 83268\/17.\nAnswer: -2*(b + 54)*(b + 771)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*f = 6*x - 6, 2*f = -4*x + 4. Suppose 0*c - c + 100 = x. Suppose 0 = 4*i - 0*i - c. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-5))\/(-5 - (-72)\/15). Solve 4*b + 2*l = -g, 15 = -5*b - 5*l - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 5*p - 7*p - 9*p - 3. Let t be k(-2). Solve -4*o = 4, 2*s + 2*s + t = -3*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -36*q**2 + 6*q - 1. Let h(y) = -72*y**2 + 11*y - 1. Give 3*h(v) - 5*n(v).\nAnswer: -36*v**2 + 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 48. Let j = -8 - a. Let r be (2 + (-3 - j))\/(-1) - -94. What is the greatest common divisor of 38 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222.00898 - 222. What is x rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/9 of a week?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0 + (-2 + 2 + 2)*(-1 + 0 - 1) - 4 - 1 + 3 + 1 - 2 + 3)*((2*r + 1 - 1)*(4 - 1 - 2) + 0*r + r - 2*r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -23 + (3 + (-13 - -7) - -6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 3 - (-2)\/(-4). Let o(r) = -r**3 - 6*r**2 - r + 6. Let i be o(-5). Let x be 0 + (i\/10 - -2). Which is the nearest to g? (a) 5 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.05, -5, -2\/7 in ascending order.\nAnswer: -8, -5, -2\/7, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24*2)\/2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28152135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 316542.\nAnswer: 11\/316542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 737433 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (23 + (-4 - 8)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*p - 14 = -5*t, -p = -2. Calculate the smallest common multiple of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12912 divided by -6.\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 30 = 3*x, -4*z + 2*x + x = -41. Let a = z + -11. Factor 3\/2*o**2 - 3\/2 + a*o.\nAnswer: 3*(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63080 divided by -166?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2657344 at most as big as -2657434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 102. Suppose -x*h = 14*h + 20. Which is the third biggest value? (a) 0.1 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4\/4 + 7*j**3\/3 + 5*j**2\/2 - j + 1. Let g be q(-6). Let d be ((-1)\/(-1))\/(8 - g). Do d and 1\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u - u)*(3*u**3 - 2*u**3 - 2*u**3) + 353*u**3 + 6*u**4 + 16*u**4 - 366*u**3.\nAnswer: 24*u**4 - 13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 585\/7. Let z(j) = j**2 + 41*j + 264. Let n be z(-33). What is the fourth smallest value in i, n, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5945.306 minutes in microseconds?\nAnswer: 356718360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4983)\/8305*(-1)\/(-6)*62*-5.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408776 is divided by 24024.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 36 (c) -20\/13 (d) -2 (e) -3\/7 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 11*n**9\/504 - n**5\/4 - 13*n**2. Find the third derivative of i(r) wrt r.\nAnswer: 1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 2. Let d be r(-3). Suppose 5 = 2*p + d. Suppose 3*s + 20 = p*y, 5*y + 5*s = s + 27. What is the smallest common multiple of y and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-30) + 25070\/1313925*7. Let m = l - 368267\/1611748. What is the common denominator of 117\/10 and m?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.19. Let w = m - -0.09. Let y = -7.7 + 8. Which is the third smallest value? (a) y (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(-86)*(-14)\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*n + 5198 = -14559 + 4133 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 80*q**2 - 4*q + 4. Let h(m) = m - 1. Give d(y) + 4*h(y).\nAnswer: 2*y**3 - 80*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 335.59672 to one decimal place.\nAnswer: 335.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.876212um in meters?\nAnswer: 0.000001876212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:48 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 4. Let r(g) = 3*g - 5. Let p(h) = -6*a(h) + 5*r(h). Let b(c) = -178*c + 703*c - 523*c - 1. Calculate -5*b(q) + 3*p(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**5 + 0*q**3 + 23*q**2 + 0*q + 0 - 13\/120*q**6 - 3\/8*q**4. Find the second derivative of d(b) wrt b.\nAnswer: -78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**4 - 18*q**2 + 6*q - 453. Let o(l) = 2*l**4 + 53*l**2 - 20*l + 1367. Let v(y) = -10*m(y) - 3*o(y). Find the first derivative of v(b) wrt b.\nAnswer: 16*b**3 + 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001413012927 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*i + 8. Let a(j) = j**3 - j**2 + j - 1. Let o be a(1). Suppose o*t = -i*t + 10. Solve -r = 2*d - 13, -3*d - 10 = -4*r - t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3\/9 - 3040*g**2\/9 - 6086*g\/9 - 3044\/9 = 0?\nAnswer: -1, 1522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, -2\/15, -545\/4?\nAnswer: -545\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8) + (-1)\/4. Let d(f) = f**3 + 8*f**2 + 6*f - 6. Let r be d(-7). Suppose -y + r + 2 = z. Solve l + 3*m + 0*m = 17, -y*m = 3*l - 27 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 55*s - 753. Let p be v(27). Let i(l) = l - 2. Calculate i(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 4*x - 5*h - 29 = 0, 0 = -5*x + 3*h + 25 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -38 and -157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 1. Let p be x(2). Let t = 63 - 61. Is 8 a factor of 34 + 7 + (t - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 + 73*b**2 + 509*b + 658. Determine p(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -342 + 346. Which is the nearest to -42? (a) 0.4 (b) y (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 13 = 41*y - 36*y, v + 2*y = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -309*v + 933. Calculate the remainder when 2594 is divided by l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 16. Suppose -5*p = 2*x - 26, 4*p + 2 - 6 = h*x. Suppose 0 = p*s - 5*v - 37, 3*s = 4*s - 2*v - 7. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 1, -3, -6, -4, -7 in descending order.\nAnswer: 108, 1, -3, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**5 - 1170*k**4 + 67260*k**3 + 139240*k**2 = 0.\nAnswer: -2, 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 2*a - 8*a - 2*a + 7*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 9 + 15 = -2*l, -7391825*j + l = -7391826*j - 25 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 - 1. Let n = -0.033 - 0.967. Which is the closest to l? (a) 2 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 88*2*(0 - 1). Let d = r + 326. Round d to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16*-2*20\/(-5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*v - 3*f = -205*v + 65 + 137, 0 = 3*v - 36*f - 2514 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5503000 to the nearest 100000.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 4:25 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 4 = -6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 15*h**2 - 28*h - 21. Let t be d(-13). Suppose -46 = -3*c - 2*a + a, 4*a = t*c - 71. Solve -5*x - 40 = -0*x + 3*j, 4*x - j + c = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/5 + 6*o\/5 - 54\/5.\nAnswer: 2*(o - 3)*(2*o + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 7*s**2 + 4*s + 8. Let v be h(6). Calculate the least common multiple of 4 and v\/(-16) + 30\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18 from 18270.\nAnswer: 18288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1587341043, -1587341042, -1587341041, -1587341040, -1587341039, -1587341038?\nAnswer: -1587341037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 15, 61, 147, 285, 487, 765?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3303 + 3413 - (13 + -6)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/77)\/g*g**(2\/17))\/(((g\/g**(14\/5))\/g)\/g**(-8\/5)) assuming g is positive.\nAnswer: g**(1909\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 10, 13 = -4*y - 3*t + 70. Let x be 1\/(4 - y\/4). Put x, -4, -9 in descending order.\nAnswer: x, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 12*t**2 - 11*t + 8. Calculate b(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 60 = -m + 2*q, 4*m = q - 51. Let n = m + 7. Let k = n - -5. Let z(y) = -y**2 + 2*y + 2. Determine z(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d + 5*y - 3, -3*y = -5*d + 15. Find the second derivative of 3*i**d + i**3 - 3*i**3 + i wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33405433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*z - 304, 2*x = -2*z + z + 300. List the prime factors of x.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -249484922*r*z + 176433160*z wrt r?\nAnswer: -249484922*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x = -169 + 40 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*m**4 - 19*m + 2*m**2 + m**2 + 74*m - 2*m**2 wrt m.\nAnswer: -168*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -17)\/(6 + (-63)\/14). Suppose -12 = 2*b - 5*r, 0 = -4*b - 0*b - 2*r - 24. Let u = b - m. Solve -u*g = -g + 6 for g.\nAnswer: -2","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 mmmmmomomo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*v + 137 = 5*v, 0 = -4*v - 8. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*o + 2 = 0, -3*o - 3 = 8*w - 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2. Let z(t) be the second derivative of t**6\/120 - t**3\/6 - 4*t. Let l(j) be the second derivative of z(j). Calculate h(l(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 1. Let l be w(1). Let f = 0 - l. Suppose -s - 4*q + 14 = f, -q = -3*s - 6*q + 28. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*k - 259 = 401 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9 - 5.904. Round h to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/(14\/690732). Let g = -3756 + y. Round g to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzkkzkkzkzpzkkppzz. Give prob of picking 2 k.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1821611*j**3 - j**2 + 119266*j?\nAnswer: 10929666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0.01, 1 in descending order.\nAnswer: 1, 0.01, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/44*143\/(-169).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.17399 (b) -3\/4 (c) -767 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/(-6))\/(176\/264). Let z(t) = -u*t**2 - 2400 + 0*t**2 + 2400. Let v(b) = 23*b. Give v(z(y)).\nAnswer: -161*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 938489 to the power of 1\/2, to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 8*p - 6. Let d(n) = 2*n**2 - 6*n - 6. Let u be d(p). What is the greatest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -7 + 5 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13601 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -267.1429 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27786431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + 0. What is the remainder when 34 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1977 + 1979. What is the closest to -2 in 10\/19, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*z - 25 = 0, 5*u + 3*z = 5 - 20. Suppose u = 7*r + 192 - 10. Which is smaller: r or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*r - 181, l + 3*l = r + 149. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*a = -201*a - 1932 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13478400 by -3.\nAnswer: 4492800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10 - 5*o**2 + 3*o**2 + 3*o**2 + 10. Let i(m) = 1244*m. Calculate i(j(w)).\nAnswer: 1244*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 10. Let v be y(5). Suppose 3*h + h + 8 = -5*s, -v*h - 4*s - 1 = 0. Let m be (-2 + 0 + 2)\/h. Solve -3*t - 5 - 1 = m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*l**2 + 93*l**2 - 212*l**2.\nAnswer: -63*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635103.\nAnswer: 3, 7, 17, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126582 is divided by 80.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-15) - (-14)\/6. What is the first derivative of -14 + 17 - 3 + 26 + 46*r**w wrt r?\nAnswer: 138*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 8}. Give prob of sequence iib.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -8 - (-64 + 43).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-434)\/(-217) - 16\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxxx when four letters picked without replacement from {x: 4, r: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -955230 divided by -3?\nAnswer: 318410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 928891421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b904c (base 14) in base 4?\nAnswer: 3300201030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f - 5. Let r(u) = u + 11. Let q(l) = -3*l + 18. Let c(v) = 2*q(v) - 4*r(v). Calculate 8*b(z) - 5*c(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -229907 smaller than -229894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32477 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/21*406\/435?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2560 + 5463?\nAnswer: 8023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -10130?\nAnswer: 10133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 1. Let t(s) = 5*s + 1. Let h(b) = t(b) + 4*z(b). Let r be h(3). Let v be ((-6)\/(-3))\/(-1*3). Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, 0, -3, -18, -51, -108, -195?\n\"Answer: -a**3 + 3*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 25, 27, 29?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 14 + 12*s**3 + 21 + 14 - 32 - 2.\nAnswer: 12*s**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 51. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2030 - -2033. Factor -3\/5*d**c + 3\/5*d - 3\/5*d**4 + 0 + 3\/5*d**2.\nAnswer: -3*d*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*i - a, 5*i + 4*a + a = 40. Differentiate -i + 1 + 2*o**4 - 9*o**4 wrt o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 = 37. Suppose -3*q + 21 + 13 = -5*v, -v + 2 = -d*q. Let l be 0 + 2 + (-8)\/v. Solve -4*p - 2*f = -p, l*f = 2*p + 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5975? (a) 1 (b) -5 (c) 2 (d) -3 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1877*n - 30006. Calculate x(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 20, 173 = 2*u + 10*r - 5*r. Calculate the remainder when u is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 73*t**2 - 251*t**2 - 1.\nAnswer: -178*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4 + 4)*(155 - 14*c - 155) + (1 - 3 + 1)*(-c**2 - 2*c**2 + c**2) + (2 - 2 + 1)*(c**2 - 3*c**2 + 4*c**2).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y + 15. Let h be t(3). Sort 3, -2, h in decreasing order.\nAnswer: 3, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/5 (b) -446\/3 (c) 0 (d) -3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 19*t**2 + 39*t - 40. Let d be v(17). What is the highest common divisor of 195 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 7*z + 5*j - 15, 2*z = -2*j + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 21*x**3 + 2711*x**2 + 447*x + 24386. Determine r(-129).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 16 + 4*q - 23)*(23 - 37 + 33).\nAnswer: 76*q + 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -68 * 11\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 39 - 36. Let n = 43 - 41. Solve -a = n*a - r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 + 15*h - 6. Let u be r(-10). Let y = 437 - u. What is the highest common divisor of 837 and y?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*t)*(2*t**4 - 2*t**4 + 3*t**4).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 - -3) - (1237 + -1239)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, and 1 k when three letters picked without replacement from yiyyfiykytyikk?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 + 148. Suppose 58 = 5*s + 13. Is s\/(-3)*h + 230 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 77. Calculate the lowest common multiple of 34 and (-1)\/(f - (-1)\/2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 822 = 104*l - 2765 - 1197 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 454, 0.05, -28, 1.3, 4?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12070, 48275, 108618, 193099, 301718, 434475?\nAnswer: 591370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*h, -2*h = -2*m + h - 4. Suppose -q + m*t + 24 = -t, -5*t = 2*q - 18. Is (q\/(-6))\/((-2)\/18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20643 + 19918 = 226*q - 24753. Calculate the remainder when q is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 25 = -h, 8*h - 3*h = 3*x + 37 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.691 - -0.65. Let f = w - -0.241. Let g = 10 + -16. Is g at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 4, -4 in increasing order.\nAnswer: -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 5*i + 4. Let n be l(-4). Let j be (271\/(-3))\/((-35)\/105). Let a = j - 2171\/8. Which is greater: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150350 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.052\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27123 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4316 + 5?\nAnswer: 431b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.039 - -18. Let o = -5.939 - j. Let i = o + 6. What is i rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000074326 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.29 + 18.89. Which is the nearest to -9? (a) 0.3 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -54941*t - 2. Let b(a) = -a. Determine s(b(p)).\nAnswer: 54941*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 7) in base 8?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 8\/17 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 7. What is r(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35054, 70108, 105160, 140210, 175258?\nAnswer: 210304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyufuuyuyrffuyuur. What is prob of sequence rurf?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.4 (b) -1\/5 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/u)\/(u**(-2\/5)*u)*(u*u**(-1\/3))\/u*u**(-5\/3) assuming u is positive.\nAnswer: u**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -650.4 - -569. Let w = s + 81.871. Let t = -0.470799 + w. What is t rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30434 - -39821. What is the greatest common factor of 63 and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6090*r + 3. Let z(v) = 47*v - 1. Determine s(d) + 5*z(d).\nAnswer: 6325*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 1 (c) 19 (d) -1\/8 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 524.629 - 525.248298. Let q = 0.618 + w. What is q rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(9)*1) - sqrt(5)*-2*-4.\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -1 - 0) + 15 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**3 + 2*q**2 - 2*q + 1. Let j be n(1). Let h be (j*(-1)\/4)\/(5\/(-30)). Is ((-30)\/h - 3)*633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -2)*-1)**2 - sqrt(252) - (4 + sqrt(21)\/(2*sqrt(3)))**2.\nAnswer: -34*sqrt(7) + 953\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfennfffefgxvnvx. Give prob of picking 1 f and 1 n.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -114308971723.\nAnswer: -114308971723.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:56 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 526954267 a multiple of 719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/3)*z)**2*(z**(-1\/7)*z*z)\/z**(1\/9) assuming z is positive.\nAnswer: z**(278\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21140 + -21125. Solve 0 = -v*j - 43*j - 348 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - (-155)\/(-25) - (-154)\/(-105))\/(40\/(-16)). What is v in y*v**4 - 64*v + 10*v**3 - 256\/3 + 92\/3*v**2 = 0?\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**2\/2 - 2*o + 1. Let d(h) = -h**3 - h**2 - 6. Let t be d(0). Let k be ((-6)\/2)\/(t + 5). Give c(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6607, -13087, -19569, -26053, -32539, -39027?\n\"Answer: -a**2 - 6477*a - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z - 25 = 0. Let r = -1.01 + 0.01. Let g = -6 - r. Which is the biggest value? (a) 3\/5 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e62 - -2a?\nAnswer: -2e37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48584, 48580, 48574, 48566, 48556?\n\"Answer: -x**2 - x + 48586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*a + 152*a = 21 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-136576)\/2728 + (-206)\/(-3193)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -7*d + 49. Let q(n) be the second derivative of 0 + 1\/30*n**6 + 0*n**5 + 0*n**3 + 7*n - 5\/2*n**d + 0*n**4. Find the first derivative of q(k) wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*h = -213*h - 51. Solve 3*o = 6*o - 2*u - 4, -h*o + 28 = 4*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213104 is divided by 9624?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98.846 - -0.154. Let i = b - 98.9999328. Round i to 6 decimal places.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 3*f**2 + 3*f - 1. Calculate n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10661 > -10661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -308.\nAnswer: 4\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.91 - 9.09. What is the third biggest value in 2\/15, t, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400630.7 minutes in nanoseconds?\nAnswer: 24037842000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:06 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 115149 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*x**3*z - 11*x**3 + 2*x**2*z**3 - 82*x**2 + 64*x*z + 14157*z**3 + 14 wrt x?\nAnswer: 1482*x*z - 66*x + 4*z**3 - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*w**2 + 3 - 5*w - 80*w**2 + 25*w**2 wrt w?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281*z**2 + 533*z**2 - 4*z**4 + 3*z + 1 - 254*z**2 + 2*z**3 to c*z + i*z**2 + r*z**3 + d + o*z**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*z**3 - z**2 - 6214*z + 6214*z.\nAnswer: -69*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57, -89, -549, -1479, -3035, -5373, -8649, -13019?\n\"Answer: -26*i**3 - i**2 + 39*i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -110, -107, -104?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*t = 1343 - 2981 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -610*n**3 + 4*n**2 - 5*n - 8. Is r(-2) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 281*r + 10099. Does 56 divide y(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 7 = y - w, 176 = 5*y + 2*w. Suppose -4*d - 4*g = -76, -5*d + 2*g + y = -4*d. What is the remainder when 140 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 279. Let w(c) = -2*c - 284. What is 7*n(l) + 6*w(l)?\nAnswer: 2*l + 249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-5) - 2 - 12834\/54870.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*(v*v**(-1\/8))\/v)\/v))\/v**(1\/4)*v\/(v*v*v*v**6*v*v)*v**(1\/12) assuming v is positive.\nAnswer: v**(-217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3080, 6060, 9078, 12140, 15252, 18420, 21650?\n\"Answer: v**3 + 13*v**2 + 2934*v + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*l - 60*l - 62*l - 56 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286258.936 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 24 = -3*p + 3, 3*v = -4*p + 14. Solve 4*o = v*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124153284.\nAnswer: 2, 3, 10346107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-five halves of a meter?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from tttxtettt?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -879.7 - -884.7. Which is the third smallest value? (a) d (b) 0.27 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u - 47*u = -90*u - 91 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101110 (base 2) in base 11?\nAnswer: -40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10111012 - -1?\nAnswer: -10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.53 in -10, -2\/7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 42*c**2 + 12*c**2 + 17*c**2)*(0 - 6 + 0).\nAnswer: 78*c**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 3 - 3)*(-1 + 2 - 2)*(3*i**2 + 0*i**2 + i**2) to the form s*i**2 + m*i + b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67551? (a) -5 (b) -0.02 (c) 2 (d) -8 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -65. Suppose a = 6 + v. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12171 (base 9) to base 11\nAnswer: -6152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 78*s**4\/5 + 69738*s**3\/5 + 15450318*s**2\/5 - 61485162*s\/5 + 45965028\/5 = 0?\nAnswer: -449, 1, 38\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.9, 5, 21, 2, 1.\nAnswer: -0.9, -1\/5, 1, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 r when three letters picked without replacement from yynyyyynnrn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*o - 18382, -7*s + 6*s - 3*o = -6134. List the prime factors of s.\nAnswer: 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/672 and -77\/14122512.\nAnswer: 197715168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r = -43*r + 770. Let g = 112 - r. Suppose g*w - 3*x = 10, -7*x - 8 = w - 2*x. Solve 6 = l + w*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/120 + n**5\/20 - 5*n**4\/24 - 7*n**3\/6 - 67*n**2. Let l be u(-3). Solve -3*h + l = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 2. Suppose -8 = 3*w + 4. Let j(s) = 2*s + 4. Let p be j(w). Let l be a(p). Solve -l*v - 15 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 10 - (1 - -3). Let y(n) = -n**3 + 5*n**2 + 4*n + 13. Let g be y(t). Solve -5*k = -5*r + 25, g = -4*r - 3*k - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.472 in -1, -1.62, 3, -52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/7 + 4608*x\/7 - 18464\/7 = 0?\nAnswer: -2308, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/((-16)\/(-14) - 1). List the prime factors of (-4)\/5*315\/y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -867659*s - 590. Let l be w(-10). What is l rounded to the nearest one hundred thousand?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134580 divided by -6?\nAnswer: 22430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/28 + (-58)\/(-7). Let t be (p\/12)\/(2\/15). Suppose 5*s + 4*w = 124 + 161, t*w = -25. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2714376 is divided by 271431?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = -y. Let s(f) = -f + 3. What is the units digit of s(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3064902 centuries in decades?\nAnswer: 3.064902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 99 = -14*i - 46. Solve 5*b + i = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s - 35*s - 23*s = -144 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3356 + 3355.99. Does y = -0.228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-1)\/(-3))\/(50\/(-60)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m - 7*m + 16*m. Let b(i) = -55*i. Let y(z) = 9*z. Let t(v) = -4*b(v) - 25*y(v). What is t(p(s))?\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9.3 times -356\nAnswer: 3310.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2254 and 39422?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/11811 and 6\/6641719?\nAnswer: 19925157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:40 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 0.4, -2, 0.1, -10, 4\/29443, 0?\nAnswer: 4\/29443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(78\/(-24) - -3))\/(-2) - -2. What is the closest to 0 in q, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 8*g - 9. Let f be c(6). Suppose 4*i - f*i = 10. What is the smallest common multiple of 8 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35109.32 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 6*h**2 + 4*h + 2. Let s be b(5). Let j be 0\/(s*1\/(-3)). Solve j = 4*w + 3*z + 16, 2*z + 5 = -0*w + 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3359, 6671, 9985, 13301, 16619?\n\"Answer: j**2 + 3309*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-42)\/(-27))\/((-20)\/(-30))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1232398 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 13*t + 3. Let w(r) = 3*r**2 + 2*r + 5. Let s be w(-2). Let k be b(s). What is the greatest common divisor of 15 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.013 + -5.013. Let u = 0.2 - 0.2. Let i = u - h. What is the biggest value in -3, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 3 - (2 - 1). Suppose -2*g + 3*g + 7550 = p. Let j = g + 105619\/14. Find the common denominator of j and 87\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 5*o + 2. Let t = 191 + -210. Let q be (-11)\/418*t*(1 + 1). Let v(c) = 0 + 0 - c. Calculate q*i(m) - 5*v(m).\nAnswer: 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*w + 82*w - 34*w + (37*w - 10*w + 19*w)*(-2 + 4 - 3))*(-3*w**3 + 0*w**3 + 4*w**3) to c*w + r*w**4 + f + a*w**3 + p*w**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 11333576.\nAnswer: 1\/11333576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144 + -147. Let l = -3 - k. Which is the closest to l? (a) 3 (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -8. Let a be -2 + -10*(-24)\/20. Let f = a - i. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -60, 110.\nAnswer: -60, 0, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3145*-1.7\nAnswer: -5346.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 3\/8, 4810, 21?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 13 - 35 = 5*g, 3*q = -g + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -192 and -943 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-18) + 1\/21. Which is the second biggest value? (a) -0.5 (b) -4.4 (c) 4\/3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 8*a - 10 - 56 - a. Let z be w(6). Solve -3*g = -z*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(4 - 1) - 17\/7.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -821*l**2 - l - 815*l**2 + l**3 + 1633*l**2 + 3 = 0. What is l?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27090 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 5 - (-361 + 0). Let p be 3*1\/(-4)*-4. Suppose -3*h - 153 = -5*g, p*g = 7*g + 2*h - 140. What is the greatest common divisor of g and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*a + 16, -4*l = 2*a + 2 - 20. Suppose 4 = -l*w - p - 51, 0 = 5*w + 2*p + 137. Let z = -21 - w. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 101.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9697 rounded to 2 decimal places?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 74.9 (c) 0.018 (d) -1\/7 (e) 1 (f) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/12)\/(3\/(-8)). Suppose 21 = 5*z - 2*l - l, 0 = 3*z - n*l - 17. Suppose 5*v = z*v + 84. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 663, 6.6, 230?\nAnswer: 663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*r - 12\/7 + 1\/7*r**2.\nAnswer: (r - 2)*(r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 260 = -2*g, 2*g + 8*l - 9*l - 255 = 0. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -542 by 2.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*x**3 - 345*x + 689*x - 344*x.\nAnswer: -105*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92, 74, 54, 32, 8?\n\"Answer: -a**2 - 15*a + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 840 and 2541?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*v + 4*w + 222, 4*v + 243 = 5*w. Let x = v - -283\/5. Sort x, 5\/2, -5.\nAnswer: -5, x, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/8*2*-15. Let y = -10 + z. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8315 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50430541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 127.4772 and -69.\nAnswer: 58.4772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 3:49 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18177\/(-584))\/((-9)\/24))\/(1*-1).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105 + 113 - (4 + -1 + -3 + -15).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 31*m**4\/6 - m**3\/3 + 7*m**2\/2 + 15*m. Is b(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -1626?\nAnswer: -1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296436 is divided by 8802.\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000269 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -34692*x**3 + 3*x**2 - x + 1. Let m be t(1). What is the tens digit of 6\/45 - m\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 8*m**2 - m - 2. Let l be (-3)\/(21\/(-23)) - (-66)\/(-231). Suppose l - 14 = 2*p + f, -10 = -2*f. Let w be t(p). Solve 4 = 2*b - w*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 - 5*o**2 + 9 + 38159*o - 38154*o = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/11490 and 83\/40.\nAnswer: 45960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*(-27)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t + 224 = -22*t + 69*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 67*i**2 + 45 + 7*i**2 + 46.\nAnswer: 74*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m + 25. Let o = -54 + 52. Let t be y(o). Solve 7 = 5*i - c, -t = -i + 2*c + c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -15*k + 65*k - 16*k - 16*k - 11*k + 30. Let s(u) = -6*u - 31. Give -5*d(x) - 6*s(x).\nAnswer: x + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1086*c**2 + 3*c - 1. What is the tens digit of w(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**2\/8 - 12404079*l = 0?\nAnswer: 0, 33077544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ea1 (base 15) in base 5?\nAnswer: 1330201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 3:19 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(2*u - u - 2*u) + 0*u + 2*u - u - u - 3 + 3 + 4 + 3*u - 4 - 2 + 22*u + 3 - 20*u.\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 295*b + 478 wrt b?\nAnswer: 295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 - -10010100001100?\nAnswer: 10010100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1)*j*j\/(j\/(j**(2\/17)*j)))**(3\/23))**(-5\/3))**(-16) assuming j is positive.\nAnswer: j**(1520\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 2*s**2 - s - 2. Let v be x(3). Let y be v\/(-26) + 396\/39. Is 2053\/7 + y\/(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56709*j**2 - 67567*j.\nAnswer: -113418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 110 + 40. Let m = 7 + u. Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(sqrt(605)*-4 + -2).\nAnswer: 11 + 220*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is e2ae (base 16) in base 7?\nAnswer: 331120","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1372 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 23. Sort 0, g, 0.03 in increasing order.\nAnswer: 0, 0.03, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 74\/3 of a year?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3064 + 8838.4461.\nAnswer: 11902.4461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -10, -52, -114, -202, -322, -480?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6392*l + 7 = 6385*l. Suppose 7 = -w - 0*w. Which is the nearest to l? (a) w (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2990553052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -94, -95, -96?\n\"Answer: -s - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114 - 388 + 45)*(3*v**5 - v**5 + 0*v**5).\nAnswer: -458*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 31 + 35 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.46 times 11.094072\nAnswer: 5.10327312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 350 + -336. Let k(i) = 24*i - u*i - 31*i. Let t(g) = 0*g - 4*g + 5*g. Calculate t(k(j)).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 8:21 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**6\/40 + p**5\/4 + p**4 + 2*p**3 - 5*p**2\/2 - p. Let z(d) be the first derivative of c(d). Factor z(k).\nAnswer: 3*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 167*k - 4. Let r(u) = -6180*u + 150. Let n(h) = -75*p(h) - 2*r(h). Let d(t) = t. Determine d(n(w)).\nAnswer: -165*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13232 + -12892. What is the remainder when 2737 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1506 and 6?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -9278.22, 1, 2 in decreasing order.\nAnswer: 2, 1, -15, -9278.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 412700 rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 11*t - 1372 - 1355 + 2739 to m + q*t + n*t**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f + 4*q - 3668, 4*q + 3708 = 4*f. Calculate the remainder when f is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - m, 8 = 4*u - 5*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q + 7. Suppose 0 = 35*k - 39*k + 8. Let u(s) = 12*s**2 - 6*s**k - 5*s**2. Give u(x(l)).\nAnswer: 289*l**2 + 238*l + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662.056 nanograms to kilograms.\nAnswer: 0.000000000662056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z\/z**(4\/3))))\/z*z**(-14)\/z)\/(((z*z**(-12)*z*z)\/z)\/(z\/(z\/((z**(-13)*z)\/z))*z*z)) assuming z is positive.\nAnswer: z**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208952933?\nAnswer: 7, 17, 41, 113, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (21 + -13 - (1 + 1 - 10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-704)\/(-246)) + (140418\/(-25056) - (-17)\/3).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 2*x**2 + 2. Let d be c(-2). Suppose d*p + 10 = 4*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f. Suppose 19*x - 12 = 13*x. Let y be (3 - (0 + -1)) + -2. Let p(t) = 3*t**y - 5*t**2 + x*t**2 + t**2. What is c(p(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46443782.3966054 + 46443777. Let n = -5.4406 - o. Let f = -0.044 - n. Round f to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a century in months?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x - 7*x)*(13*x**3 + 12*x**3 - 80*x**3 - 9*x).\nAnswer: 330*x**4 + 54*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/653 and -58\/9.\nAnswer: 5877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.1 (c) -3\/2 (d) 0.64 (e) 0.6 (f) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25837812 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*r + 423 = -241 + 294. Solve -r*n - 15 = u + 4*u, 4*n = -3*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 + (-1 - 1) + 1 - 11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*6\/6)\/((276\/(12\/(-1)))\/(-1)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*g + 24*g = 0. Which is the closest to g? (a) -0.3 (b) -3\/8 (c) 1\/4 (d) -457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/7)\/1 - (-2665)\/12285)*-3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 3\/8, 4, 1.9, -25729, -5?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*d = 3, -8 = 4*p + d + 23. Let h be -3*1\/(p\/6). Suppose 28 = h*u - 4. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2518356kg in nanograms?\nAnswer: 251835600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682289335?\nAnswer: 5, 7, 13, 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 14255?\nAnswer: 14251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvvzvmg. Give prob of sequence zgv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4265767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8248 - 1820. Let o = 70756\/11 - r. Calculate the common denominator of o and -127*(-2)\/12 + 0.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(153\/18))\/(4\/(-32))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2701 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*q**2 - 1 + 6*q**3 + 18*q + 6*q - 22*q + (-q - 2*q**3 + q)*(-1 + 1 + 1) + 0 + 0 - 2*q**3.\nAnswer: 2*q**3 + 13*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12477130 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**3 - 2*j**2 - 4*j - 1. Let r be w(-3). Let g = r + 169. Solve g = -3*b + 2*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + h**2 - 9*h + 1. Let u be l(4). Suppose 3*a + a + 5*i - 207 = 0, i + u = a. What is the remainder when a is divided by (3588\/207)\/(8\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-7 - -4 - -5) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(21) + sqrt(21))*6)\/(sqrt(14)\/(sqrt(6)\/sqrt(3))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqk when three letters picked without replacement from eqkqeeqeqeq.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.18 + -0.58. Let l be 44\/(-198) - (-7)\/(-9). Let u be ((-5)\/5 - -3) + l*3. Put -4\/3, w, u in decreasing order.\nAnswer: w, u, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1849 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24011939.\nAnswer: 7, 17, 201781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2\/7 (c) -158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 381*g**4\/4 + g**2\/2 + g + 3. Let a be x(-1). Is a*(2\/(-6) - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/(-336) - (0 + 45\/12). What is the second smallest value in b, 1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, e: 1, a: 5, o: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -126*z + 1011. Determine n(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3 + 2582*d**2 - 189964*d - 1232952 = 0?\nAnswer: -6, 82, 2506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {c: 1, b: 2, g: 1, y: 1, m: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 4:06 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = -4. Suppose 4*t + 14 = -z*v, -5*t = -5*v + v + 24. What are the prime factors of (-2)\/((-38)\/34 + v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 4*q - 51. Let u = q + 27. Solve 6 + u = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f + 2*h = 4, 0 = 3*h + 15. Let j = f - -13. Solve -4*d + 2*d - j = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37247371 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -23. Which is bigger: s or 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/6*v**3 + 5\/2*v**2 + 0*v + 0 = 0 for v.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38\/9 - -4. Suppose -26 = -3*m - 5*d, 5*m - 18 = -0*d - 2*d. Suppose -4 = -u + 1. Which is the closest to -0.2? (a) m (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = 5*d + 258. What is p in 1 + d*p**3 + 0 + 19*p**2 - 3*p - 3*p**3 - 16*p**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 - 2*l. Suppose f = 3*r + 9, 2*r + 4*f - 3*f = -1. Is p(r) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c = -24. Suppose 0*v - 4*v = 240. What is the common denominator of 56\/5 and (21\/c)\/((-27)\/v)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1339 + -1331. Let m be (-3 - (0 + -3))\/2. What is the closest to m in 0, z, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 89. Let v(j) = j - 2. Give v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27594648 a multiple of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1796*o**2 + 1797*o**2 + 1802*o**2 + 1809*o**2 + 3*o + 156*o**3 - 7204*o**2.\nAnswer: 156*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 9*o**2 + 7. Suppose -5*h + 36 = -h. Let u be i(h). Let d = 3 - u. Put -1, d, -2 in ascending order.\nAnswer: d, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1010*u**2 - 2665*u + 13. Is q(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 4)*(19*z - 7*z + 4*z) as o*z + i and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o**2. Let f(n) = 22*n**2. What is f(r(t))?\nAnswer: 1782*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {l: 2, f: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(768))\/(sqrt(200)*2 - sqrt(200)))\/(sqrt(27)\/(-3*sqrt(1296))*-1).\nAnswer: -864*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 j when four letters picked without replacement from bzhhzzzzzjznhhzj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 a, and 1 x when four letters picked without replacement from {n: 4, f: 1, a: 2, x: 3, s: 2, j: 2}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 40 = c - 0*c, -2*k - 4*c + 16 = 0. Calculate the smallest common multiple of k and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -172 - -239.8. Let m = 68 - g. Let o = -6 - -4. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 10, -j - 997 = -0*f - 3*f. Let n(u) = -28*u + 113. Let y be n(11). Let p = y - j. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 23*h**9\/1008 + h**5\/20 - 16*h**3\/3 - 10. Let x(o) be the third derivative of u(o). Find the second derivative of x(d) wrt d.\nAnswer: 1380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/17)*b*(b*b\/(b*b*b**(-6\/5)*b)*b*b)\/b)**(1\/9) assuming b is positive.\nAnswer: b**(197\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3055, 5996, 8957, 11944, 14963, 18020, 21121, 24272?\n\"Answer: s**3 + 4*s**2 + 2922*s + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -691, -1532, -3011, -5338, -8723, -13376, -19507?\nAnswer: -27326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/35937 and 27\/242.\nAnswer: 71874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(637))**2 - (sqrt(468)*1)**2.\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 3*f, 0 = 4*z + 5*f - 18. Let p = -17 - -38. Let t = p + -15. What is the highest common divisor of t and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7398 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b**(-2\/7)\/b)\/b)))**11\/(b**(-2\/15)*b**(-5\/3)) assuming b is positive.\nAnswer: b**(-817\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmemx. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 15. Let a be -1 - 5\/(-5)*1. Suppose -2*u - 66 = -5*k - 4*u, 5*k + 4*u - 72 = a. Let x be s(k). Solve -2*d = -x*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1113 and 35.\nAnswer: 5565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 30. Suppose 4*a - y - 17 - 5 = 0, a - 5*y - 15 = q. Solve 0*n - 5*n - a = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - g - 5, 4*t + g = 2*g + 9. Let y be 11*(37 + (t - 1))\/2. What is the greatest common factor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 631*x - 20724. Determine b(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*-37 - (68 - 74)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/54185874?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.300902598 to 5 decimal places.\nAnswer: 0.3009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 4*s**3 + s**2 + 4*s.\nAnswer: -s*(s - 1)*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b + 69. Let i be k(17). What is the greatest common divisor of 27 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 0*h + 2*h + 2*h + 0*h + 10. Is u(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p**(-5)*p)\/p*p)\/p))\/p**(1\/2)*p**8*p*p**(-2\/3)*p*p*(p\/(p**(-2\/3)*p)*p*p*p**12*p)**50 assuming p is positive.\nAnswer: p**(4795\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15242281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175 + -170. Solve 2*m - 6*w = -w - n, -5*w = -4*m - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 129 = -4*m, 2*m - 5*b = 37. Let c = m - 28. Suppose 6 = c*h - 3. What is the remainder when h is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*60\/(-215)*(-2 - (-60)\/9).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10 = 6. Suppose 3 = -3*x - z*s - 0, 4*x + s = 9. Solve -4*d + 6 = -2*w - 0*d, 9 = x*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 6*j**2 - 8*j - 27. Let i(s) = -s**3 - 4*s**2 - 4*s - 14. Let v(r) = 7*i(r) - 3*w(r). Let u be v(-11). Is u > 147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233001300 (base 5) to base 2.\nAnswer: 11010011001111101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3677 is divided by 732?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*f**2 - 26*f**2 - 5*f**3)*(-2*f**2 + 3*f**2 - 2*f**2) + (f**2 - 2*f**2 - f**2)*(0*f + 0*f + 2*f**3) - 4*f**5 + f**5 + f**5.\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 4. Let u(v) = -v + 1. Let j(r) = -s(r) + 6*u(r). Let x(a) = 14*a - 5. Suppose 0 = -2*w - 6. What is w*x(k) - 8*j(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 8 (b) 165 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9508710353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.469 - -0.509. Which is the nearest to 7? (a) -5 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*n**5 + 19*n**4*o - 17*n**2*o + n*o - 6*o + 240 wrt n?\nAnswer: 280*n**3 + 228*n**2*o - 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -34 - (7 - 1)) + -28 + 18 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 + 19665*v**3\/2 + 128657325*v**2 + 1113669692375*v\/2 - 169961867653125\/4.\nAnswer: (v - 75)*(v + 13135)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 - (5 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 41*y - 570. Let z be c(14). Let a(p) be the second derivative of 1\/90*p**5 - 2\/9*p**2 - 1\/27*p**3 + 6*p + 1\/27*p**z + 0. Factor a(k).\nAnswer: 2*(k - 1)*(k + 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1 - -11) + 1 + 4 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/5)\/h)**(-43)\/(h**(4\/7))**38 assuming h is positive.\nAnswer: h**(-158\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*f + 840 = 192*f. Solve -4*g + 16 = 4*b, -g + 4*b = 3*b - f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 5*t - 3. Let w(g) = -g + 7. Let o be w(4). Let y be n(o). Is y - (2 - 1\/(-1)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6492 and 715.\nAnswer: 714.3508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -11*t + 9. Let m(v) = v - 1. Let y(p) = -6*p + 5. Let q(w) = 2*m(w) + y(w). What is -3*c(i) + 8*q(i)?\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**2 - 4*s - 4. Let q be w(4). Suppose 6 = -4*g + 54. Calculate the highest common factor of q and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 22 (b) -266 (c) -37 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6018*m + 11394*m + 11752*m + 5186*m + 17114*m.\nAnswer: 39428*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - (0 - (5 - 3)) - (407 - 392)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -1498.\nAnswer: 5\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5862170410 to the nearest 1000000.\nAnswer: 5862000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 139?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**5\/3 + 26*k**4\/3 - 100*k**3 + 550*k**2\/3 + 875*k\/3 = 0.\nAnswer: -35, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(0 + sqrt(11) + sqrt(11))**2 + (-2 + sqrt(891) + 1*sqrt(891) + sqrt(891))**2.\nAnswer: -108*sqrt(11) + 7671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 2*w**2 + 3*w - 1. Let g be i(2). Let u be 1\/g - 24\/(-5). Let m(f) = 17*f + 6. Is m(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32748815747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0.9 (b) 47 (c) -2521 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -260d (base 15) in base 3?\nAnswer: -102010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/4 and -7\/6206726.\nAnswer: 12413452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164422.\nAnswer: 2, 229, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/6 + 5\/3. Which is the second smallest value? (a) h (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 6*p - 3. Let k(c) = -c + 7. Let l be k(0). Let z be h(l). Let b = 25513 + -25519. Is z greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 10:02 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 87*t - 1129. Give y(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2196 + 5611 = 2*i, 2*s = 6. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**3 - 6*m**2 - 2. Let s(p) = -4*p**3 - 7*p**2 - 3. Determine 3*k(y) - 2*s(y).\nAnswer: -7*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -25*w + 7690. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/31? (a) -10 (b) 2\/7 (c) -0.07 (d) 2 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/3 - 14975*g\/3 = 0.\nAnswer: 0, 14975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 17*i - 27. Let m be b(15). Suppose g + 0 = -8. Let v(k) = k + 8. Let d be v(g). Solve d = 2*a + a - m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d. Suppose o = -o + 30. Suppose 4*x - 23 = -3*n, -5*x + n + 22 = -2*n. Solve -x*y = -d + o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b = d + 52, -1195*b = 5*d - 1199*b - 410 for d.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - (-33 - -35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 3 + 2020*i**2 - 6062*i**2 + i**3 - 2*i**4 + 2034*i**2 + 2038*i**2 to u*i**3 + f*i**4 + d*i**2 + y*i + s and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(513\/514 - 1). Round z to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*g - 31*g - 62*g + 836 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = 4. Let j be 3*((-50)\/(-75) - -14*(-20)\/408). Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -a41eab?\nAnswer: a41ea9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u + 9. Let j(s) = -s**2 + s. Let z be j(3). Let n be a(z). Is (-2)\/(-4)*0 - n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2 + (-9)\/18*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352, 616, 842, 1036, 1204, 1352, 1486?\nAnswer: 1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2 - 7286238*b - 276872712 = 0?\nAnswer: -2428708, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -256245 greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122466420 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -81, -6.2, 6\/5, 2.\nAnswer: -81, -6.2, 6\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) -5\/7 (c) 1 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*a + 66636 - 67320 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.905459s in milliseconds?\nAnswer: 5905.459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u. Let b be z(1). Let i be 2\/1 + b*-1. Let p = 4 + i. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2142 divided by -42?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 552*n - 549*n - 2*m + 25, 25 = 5*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/258? (a) 6 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose 5*q = 4*z + c*q - 28, 0 = -q - 2. Suppose -3*y - 4*y = -14. What is the least common multiple of y and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 324253*l - 324306*l - 2597 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 18. Let c be j(-7). Find the second derivative of -5*t**2 + c*t + 2*t**2 - 12*t**2 wrt t.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*i - i + r, -3*r - 33 = 5*i. Let a = i - -18. Suppose -12*n - 22200000 = -a*n. Round n to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -92, -148, -184, -194, -172, -112?\n\"Answer: q**3 + q**2 - 80*q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 6)*(0*w + 2*w + 0*w)*(0 - 1 + 2).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)\/((-5)\/(-125)). Suppose 22*h + 30 = x*h. Suppose -10*o**4 + 35*o**3 - 6*o - 30*o**2 + h + 5*o + 2*o - 6*o = 0. Calculate o.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12*m - 44. What is the remainder when 157 is divided by z(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -17188\nAnswer: 3\/17188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 8. Let i be l(17). Suppose 7*z = 26 + i. Suppose -68134 = z*b + 96866. Round b to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/9)*(a\/a**(2\/27))\/a)**20 assuming a is positive.\nAnswer: a**(200\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/5 - 2716062*v\/5 - 8148213\/5 = 0. What is v?\nAnswer: -3, 905357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 22 = -2*i. Let h be (-1*2 - -1)*(1944\/72 - 46). Is i >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2611628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**8\/1008 - s**6\/90 + s**5\/90 + s**4\/24 - s**3\/9 + 6*s**2. Factor w(m).\nAnswer: (m - 1)**3*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -13*u**3 - 1. Let j be d(-1). Let t = 3 - 1. Suppose -2*s - j = -q, 0 = -4*q + 6*s - t*s + 40. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/(-5) + 6 - 2\/5. Put f, -8, 1, -1 in ascending order.\nAnswer: -8, -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5 + 66*z**4 - 1624*z**3 - 9144*z**2 - 15136*z - 7680 = 0.\nAnswer: -48, -2, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 1764*j - 1762*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 23*i**2 + 19*i + 21. Let n be r(-25). Let v = n - -3599. List the prime factors of v.\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-3 - (-28 - -6)) + -2) - -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 50\/18) + 12\/(-54). Let z be l - 6 - 1768\/(-306). Which is bigger: z or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -14*g - 53. Let y be r(-4). Let q(z) = -7*z**3 - 3*z**3 + 6*z**2 + 3*z**y + 3*z**3. Let i(p) = -p**2. Give 6*i(w) + q(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2576335958 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/3*(-2)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 24*b + 20 + 13 wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 0*z, 0 = -4*v - z + 260. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*p + 308 = 176*p - 75*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (sqrt(704) + -2*sqrt(704) + -5 + sqrt(704))) + -4)**2*-6.\nAnswer: -4230 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 168.\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 188060 to the power of 1\/2, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31243?\nAnswer: 157, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Let q = 0.34 + 0.06. Which is the biggest value? (a) t (b) -2\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*j - 2 = 9, 3*r - j + 18 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 4 + 4 - 7*o. Let k(c) = -3*c**2 + 7. Let b(z) = z**2 - 2. Let q(x) = -7*b(x) - 2*k(x). What is s(q(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.6 - 93493.1?\nAnswer: -93384.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 + 9*g + 20. What is v(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -2\/5, 0.92745 in decreasing order.\nAnswer: 0.92745, -2\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 17*u**2 + 288*u + 10. Determine k(-16).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1278 + -556. Is 38 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 2. Let m be (-8)\/(-5) - (-2)\/5. Let a be c(m). What is the smallest value in 1, 5, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26747.\nAnswer: 7, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -274934 bigger than -274930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39186 and 1260?\nAnswer: 391860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1409115*b - 4746516?\nAnswer: 1409115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1096915 and 27770?\nAnswer: 2193830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-250)\/(-2625))\/(1 + (-12)\/14). Let y = -0.1 - -0.6. Which is the second biggest value? (a) -2 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + 0.109991. What is s rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Suppose x = 4*c - 9*c. Let t = 5 + -3. Sort t, c, -5 in decreasing order.\nAnswer: t, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + 1 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*y*z**3 + 165*y*z wrt z?\nAnswer: 174*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, l: 2, c: 1, o: 7, n: 1}. What is prob of sequence qlql?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4611907511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -7, -12, -15, -16, -15?\n\"Answer: r**2 - 10*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -365 + 342. Suppose -9 = 5*b + 1. Is c != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 12*w - 23*w + 13*w)*(-1 + 1 + 3)*(-3 - 1 - 2).\nAnswer: -36*w + 414","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30 + 2 + (-3)\/(-3). Let k = 15 - m. Let t be (0 - 2)\/(k\/(-153)). Is -19 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8448891119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -2) + 2 + 1. Suppose s*y - 15 = 0, -5*y + 29 = 4*x - 2*x. Solve -x*q + 4 = -0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + 2 + ((sqrt(300) + 1*sqrt(300) + sqrt(300))*1 + sqrt(300))**2 + 4).\nAnswer: 4805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4018804 + 0\nAnswer: 4018804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46266649855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 + 436*v - 3208. Calculate c(-115).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 121*q + 336. Is z(-66) a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**6\/120 - d**5\/80 - d**4\/48 + d**3\/24 + 18*d. What is f in a(f) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 7323654 - 3663103 - 3660551.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 2*k - 3. Let d be t(7). Suppose -56*u + d*u = 4. Let r(h) = -3*h**2 + 1. Calculate r(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9 + (1788\/1080 - 21\/14)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 26*l + 14. Let c(p) = 8 + 9*p - 14 + 15. Let j(s) = 29*s + 27. Let q(y) = 11*c(y) - 4*j(y). What is 5*n(i) + 8*q(i)?\nAnswer: -6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 299*q**4\/8 + 4*q**3\/3 + 29*q**2. Let n be w(-4). Round n to the nearest one hundred.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 296265421 and -0.14.\nAnswer: 296265420.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*240\/40\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 103 + 2\/4*(-1 + -1). Let a = 297 - r. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00696336 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/12517265 or 1?\nAnswer: 2\/12517265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738.396 decades in centuries?\nAnswer: 173.8396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.26 - -2.3. Put -4, 2, g in increasing order.\nAnswer: -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 + 1 + 497*y.\nAnswer: 497*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -155168.\nAnswer: 5\/155168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 30 - 2. Let d = 12 + y. Suppose -q + d = 2. Solve q*h + 15 = -2*h - 3*z, h = -2*z - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5\/9, 0.502, -3.5, -0.07?\nAnswer: 0.502","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b**4 - 4*b)*(0 + 0 + 3) + 11*b**4 - 57*b**4 - 9*b**4 - 6*b**4 - 2 + 8 - 5.\nAnswer: -67*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = 5*x + 3, 4 = 4*g. Let s be (-9)\/(-4) - x\/(-8). Solve 0*l + s*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyzdddyzyididid. Give prob of sequence zidi.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2069906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2 - 6*m - 2 + m. What is the tens digit of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -23*l + 70 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-9)\/g)\/g)\/(g\/g**0)*((g\/(g\/g**(-13)))\/g*g*g*g)\/((g*g*g\/g**(-1))\/g))**1 assuming g is positive.\nAnswer: g**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/11)*(t\/(t\/(t\/((t*t**(3\/4))\/t*t))*t))\/t*t**(-8)*t*t*t**(2\/11) assuming t is positive.\nAnswer: t**(-361\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 4*i + 5. Let r be n(5). Let k(q) = -q**2 + 10*q + 4. Let a be k(r). Let y = a - 1. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 17710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 3*v - 4*v + 2*v + 0*v**2 + v**2 + 0*v**2 + (2*v - 2*v - 2*v)*(v + 2*v - v))*(-18 - v + 18).\nAnswer: v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6292) - (2 + sqrt(6292)))*6)**2 - 4*(sqrt(312)\/(sqrt(8)*3))\/sqrt(3).\nAnswer: -4*sqrt(13)\/3 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1445406+-357\nAnswer: -357.1445406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 18 + 20 + -22 + (-39 - -1)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4923774\/11 - 446858. Which is smaller: 758 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (187 + 1113 + 171)*(-2*t + 2*t - 2*t).\nAnswer: -2942*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 59.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 47278?\nAnswer: -14183.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -11. Let l be (t\/4)\/(3\/6). Suppose 24 - 4 = l*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, l: 2, y: 2, b: 1, r: 2}. Give prob of sequence brh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17661219?\nAnswer: 3, 929, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (124 - 159) + (-5 - -6).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/40, 4, 2\/219, 1.5, -1, 32 in descending order.\nAnswer: 32, 4, 1.5, 1\/40, 2\/219, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -461 - -817. What is the remainder when o is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377 + 142*d - 1007*d - 96 + 21*d.\nAnswer: -844*d - 473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**4 - y**2 - y. Let c(i) = 242*i**4 + 2*i**2 + 365*i. Let u(x) = c(x) + 2*h(x). What is the second derivative of u(o) wrt o?\nAnswer: 3000*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 10*p**2 + 14*p - 13. Let g be i(-8). Let j(b) = -3 - b**2 - b**3 - b**2 - 9*b - 7*b**2. Let k be j(-8). Is k > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25097 times 5?\nAnswer: 125485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2\/8 + 3*w\/8 - 1\/4.\nAnswer: (w + 1)*(5*w - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - (0 + 4) - 2) + 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*x**3 - 1242*x**3 - 108*x**3.\nAnswer: -1661*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91671 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 11, z: 3, m: 1, v: 3}. What is prob of picking 1 v and 1 m?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -6) + -6 + (-31 - -1) + (-358 - -366).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/5)\/((-3)\/170). Let u(d) = d**2 + d - 3. Let n be u(4). Calculate the greatest common divisor of z and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -702.121206 to the nearest integer.\nAnswer: -702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 3*w**2 - 5 + 5.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 + 2) - (-1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 32*b**2 - 36*b + 322. Let h be i(34). What is the greatest common divisor of h and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17610504 and 1734?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.02584 + 0.07764. What is i rounded to two dps?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3. Let t = -66 - -69. Let d(b) = -131*b**t - 129*b**3 + 264*b**3. Calculate -5*d(w) - 6*u(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*j = 63797968, 3*a - 3*j = -27480171 - 36317805. Round a to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492428.\nAnswer: 2, 307, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/27*3)\/(4 + -5). Solve -5 + 13 = h*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16788 and 7656?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 + 2*x + 5. Let a(z) = -3*z**2 - 5*z - 9. Let k(b) = -2*b**2 - 6*b - 10. Let o(p) = 4*a(p) - 3*k(p). What is 5*j(v) + 4*o(v)?\nAnswer: v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.15 (c) 11\/9 (d) -5\/4 (e) 1 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867*u + 9 = -864*u. Put -0.2, 5, u, 21, 0 in descending order.\nAnswer: 21, 5, u, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**2 + 2*z. Let b(y) = y - 6. Let g(l) = -2*l + 13. Let j(v) = 13*b(v) + 6*g(v). What is j(m(s))?\nAnswer: 8*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.496 + -1.584. Let s = -36 - r. Let x = s + -0.08. Which is the smallest value? (a) -2\/13 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millimeter in micrometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let w be l + -5 + 4\/2. Let f = 7 + -11. Which is the second smallest value? (a) 1\/4 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306820 a multiple of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12297*o**2. Let p(d) = -31*d. Determine j(p(u)).\nAnswer: 11817417*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o - o)*(-3 + 3 + 2) - 98*o + 3 - 2 + 27*o.\nAnswer: -75*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - 2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11594 - 4496 - 2639)*(-1 - 2*l + 1).\nAnswer: -8918*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19095 is divided by 3136?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5\/27, 12, 14, -5, -3?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*w - 9, -2*z + 3*w + w + 14 = 0. Let p = 926 + -931. Sort z, p, -1.\nAnswer: p, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9067, 18041, 27037, 36055?\n\"Answer: 11*v**2 + 8941*v + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 3, h: 4}. What is prob of picking 1 h and 1 a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f8ed3 (base 16) in base 14?\nAnswer: 3bb9d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9745680 and 4452.\nAnswer: 516521040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-88)*-6)\/(12\/(-8))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(12) - sqrt(24)\/(sqrt(32) - sqrt(2)))*3 + (sqrt(192)*1 - sqrt(192))**2*1 + -5.\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 7. Let v be o(-3). Suppose v*h = y - 15, -21 = -10*y + 5*y + 2*h. Solve -3 = -4*d - 5*r - 14, -3*d = -y*r + 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24521 = 24523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(320))*-2)**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a + 4*a - 7*a + a**5 wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36)\/(-252)*(112464 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 - 639. Let w be h(23). Is w < -2226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -5*l - 289, -3*l - 207 = -118*g + 64*g + 59*g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3119, -5253, -8809, -13787?\n\"Answer: -711*j**2 - j - 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0 + 0*y**4 - 2\/105*y**7 + 0*y**3 - 36*y**2 - 5\/12*y**5 - 1\/40*y**6 + 0*y. Find the third derivative of n(f) wrt f.\nAnswer: -96*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)**(-6\/13)*(y**(-1\/4)*y)\/y**6*((y*y\/y**(2\/5)*y)\/y**(-2\/15))**(2\/65) assuming y is positive.\nAnswer: y**(-20147\/3900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 21*v - 89. Let h be m(7). Solve 20 = -h*x + 29 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 9.1. Let g = 5.4 + v. Let i = -3 + g. What is the third biggest value in -1\/5, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 853890190 rounded to the nearest one million?\nAnswer: 854000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044108148 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-638)\/5 + 4 - (-3)\/5. Let u = h - -62. Let c = 74 + u. Solve -2*k + k + 5 = 2*z, 5*k + 4*z - c = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2965, -9, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 35 = 5*h, -3*h + j + j = -18. Let p = 20 - -12. Calculate the remainder when p is divided by h\/2*(-11)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201, 1681, 7585, 19515, 39475, 69469?\nAnswer: 111501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*v + 7*v + 22*v - 1081 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/6)\/(11 + 345\/(-30))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 62. Solve 0*a + a = 0, 0 = -2*z + a - b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121179 + 121175. Let z(h) = 0*h + 3 + 0*h - 2*h + 2*h**2. Determine z(u).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 4\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4359, 8705, 13051, 17397, 21743, 26089?\nAnswer: 30435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/4941, 27.\nAnswer: -1, -2\/4941, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5715\/16 + -359. Calculate the common denominator of z and -3*((-2)\/(-24) + -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-45) + ((-52)\/(-90) - 1). Let c = -7 + 8. What is the second smallest value in z, c, -11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvemfwmvemffmv. Give prob of sequence vmf.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -604000 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 4*u**4 - 4*u**4)*(-4 + 4 + 5)*(0 + 0 - 3*u).\nAnswer: -15*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 5) + 5 + -1. Suppose -m + i*m + 90 = 0. Let y = 2 - m. What is the lowest common multiple of y and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:31 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14225*x - 13403 wrt x.\nAnswer: 14225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -28. Let k = -4 + y. Let s = 4\/5 - 47\/65. Which is the second smallest value? (a) k (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5694 not equal to 5693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 195*z - 8. Let x(f) = 97*f - 5. Give -3*r(t) + 5*x(t).\nAnswer: -100*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9900 + -4651. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*b**2 + (-b + 0*b + 0*b)*(0*b - 3*b + 5*b) - 5*b**2 + b**2 + 2*b**2 - 3*b**2 + 3*b**2 - b**2 + (-11 + 11 + 3*b)*(2*b - 2*b + 3*b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -3, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279194, -2233611, -7538452, -17868929, -34900254?\nAnswer: -60307639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98338468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 5*a + 45 = 7*o, -a = -o - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11994 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6413)\/55 - (-2)\/(-5). Is (-103753)\/o + (-4)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/254250 and -107\/1779750.\nAnswer: 1779750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - sqrt(84)\/sqrt(7)))**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001280736 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0808784 or 2\/9?\nAnswer: -0.0808784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 14. Solve -2 = m + 2*z - 1, x = 2*m + 2*z - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 27*o + 2. Let u be l(-14). Let w be -20*((-4)\/(-6) - (-192)\/u). Solve 3*x + 4 = -t, -2*t - w = -2*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*d, -27 = -2*d - 3*d - 4*g. Let q be -5 - (0 + (4 - d)). Which is smaller: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.499 - 0.48. Let y = 0.141125 + d. Let s = y - 0.16. What is s rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 15 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -r - 6, -3*i + 0*r = 2*r + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)\/(j*j**(11\/4)))**(-8\/3)\/(j*j**(-1\/10)*j**(3\/4)*j*(j\/j**(-5\/4))\/(j*j**(1\/2))) assuming j is positive.\nAnswer: j**(153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 126\/2*(-380)\/(-855). Let a = 833 - 2413\/3. Is a < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2214960 by 165.\nAnswer: 13424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 972912, 973090, 973268?\nAnswer: 973446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 54. Suppose -13*d + 9*d + 7 = 3*f, -4*d - 97 = -5*f. Give k(f).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*v - 17. Solve 3*h = 2*h - v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-6798)\/5)\/((-48)\/(-120)). Let f be (-3)\/9 + 148\/12. Suppose -j = f*h - 8134. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(((y*y*y**(-2\/15))\/y*y)\/y*y)\/y)**(-21) assuming y is positive.\nAnswer: y**(-196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 10*p + 5*p = 20, 5*p = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-5)\/(-25)*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 13, p: 3}. Give prob of picking 3 p.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 157 = 3*m - z, -4*m + 221 = 5*z. Calculate the remainder when m is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177021 + -177018. Factor 1\/4*c**4 + 0 - 13\/2*c**a - 72*c + 48*c**2.\nAnswer: c*(c - 12)**2*(c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3883, 3903, 3927, 3955?\n\"Answer: 2*q**2 + 14*q + 3867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2320 - -1303?\nAnswer: 10223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 5:12 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 130, 252, 374, 496, 618?\n\"Answer: 122*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.7 times -22?\nAnswer: 367.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66 and -1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3395 and 1261.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 95987138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k - 9. What is the tens digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 3:43 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 418960 - 418980.97979. Let b = q - -35.98008. Let x = b - 15. Round x to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**3 - 76*s + 74*s - 4*s**2 + 1 + 3*s**2 - 7*s**3 as h*s + b*s**3 + f + o*s**2 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/3)*y)\/(y*y\/(y**(-11\/3)*y)*y))\/(y**(8\/9)*y*y\/y**16) assuming y is positive.\nAnswer: y**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:02 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*r - 39, 4*r = -0*d - 3*d + 42. Calculate the remainder when 2366 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqps when four letters picked without replacement from {c: 2, s: 1, u: 1, p: 2, q: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-3)*(-44814)\/12*3828\/203.\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*4 + -2 - (0 + (sqrt(13) - (sqrt(832) - 4*sqrt(832))))**2.\nAnswer: -8127 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 4:51 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 4 - 63*g + 5 + 16 - 40.\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 3.3332699711.\nAnswer: 9.3332699711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5748509772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxpu when four letters picked without replacement from mprppmmxxjxpmu?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 3*d**2 + d**2 + (6*d**2 + 0*d**2 - 5*d**2)*(-2 + 0 + 1))*(-2*d - 3*d + 6*d)*(28*d - 504*d**2 - 1 - 10*d + 501*d**2).\nAnswer: 12*d**5 - 72*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -7, -45.22, -3\/2.\nAnswer: -45.22, -7, -3\/2, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1087 = 11*y - 365. What is the highest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -2\/15 (c) 0.203 (d) 0.2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 5*v**2 - 3 + 0*v - 3*v + v**3. Suppose 19 = -5*o - 2*c, c = 3 - 0. What is the remainder when 4 is divided by w(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -795 - 0.532?\nAnswer: -795.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/5661)\/((-222)\/666*(-2)\/(-6)).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-5)\/(45\/117).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from nunhcfmnchuumcu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471.\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:56 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -54, 0.05, -0.364 in descending order.\nAnswer: 0.05, -0.1, -0.364, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + i - 1 + 1 - i**2 - i + i + 4*i**2 - 2*i**2 - 3*i**2 + (0*i - 2*i + 3*i)*(-i + 1 - 1).\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.3, 0.24, -4, -24, 4?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2296437386.\nAnswer: 2, 461, 2490713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -f - 320, 2*g + g - 5*f = 340. Suppose 0 = 5*y - 0*y - g. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -3 - (-23 + (37 - 11)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25931.185977 + 2055?\nAnswer: -23876.185977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l - 5*z - 1, 5*l = -2*z + 11. Suppose 5 + 7 = l*u. Suppose 0 = -c + 3*c + 5*d + 19, 14 = -2*c - u*d. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 0.46387?\nAnswer: 0.46387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 7*v + 7. Calculate g(4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3653 and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 43.5. Let s = -0.5 + v. Let c = 8.9999868 + s. Round c to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 1, i: 1, m: 1, b: 6}. Give prob of picking 1 b and 1 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/(-80)*(860\/(-152) + 0) - 39\/3.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 8*t**2 - 5*t + 44. Let u(c) = -c**3 - 5*c**2 + 2*c + 4. Let m be u(-5). Let o be a(m). Factor 2\/13*v**o + 0*v - 8\/13.\nAnswer: 2*(v - 2)*(v + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (25 + 10 + -35)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 4*i**2 - 4*i**2 + 0*i**2.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -161, -195, 35, 661, 1815, 3629, 6235?\n\"Answer: 22*j**3 - 188*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11333263 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 38*w**2 + 10*w - 5*w**2 + 4*w**2.\nAnswer: 37*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:45 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n = -25*n + 18, 0 = 4*c - n - 42. What is the smallest common multiple of 537 and c?\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3007 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5 + -1)*552\/(-3128)*85.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 140 = 95. Suppose -3*g = -2*g. Suppose z - 5*z + 83 = -5*f, g = -2*z - f + b. What is the highest common factor of z and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 11. Let d be g(15). Suppose 5*n + 23 = 3*i, -3*n + 9*i = d*i + 17. Let j be ((0\/n)\/(-3))\/2. Solve j*m - 4*m - 20 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -944*w**2 + 1364*w**2 + 2797*w**2 + 114*w**2 + 3060*w**2 to a*w + x + y*w**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.1. Let k = 457.3 + -371. Let i = -98.3 + k. Which is the smallest value? (a) o (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16830, -33661, -50490, -67317?\nAnswer: -84142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/70 + 3\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-32*(-9)\/(-216).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 666?\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43aa3 (base 13) to base 16.\nAnswer: 1df22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + p**2 + 3*p + 1. Let w be 3 - (0\/3)\/1. Let h be r(w). Let v = h + 11. Solve v*y - 4 = 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f = 5*g - 100, 0 = -5*f - 2*g + 100. Suppose -2*x + x + 3*z = -61, 0 = 5*z - f. Let t = x - 48. What is the greatest common factor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6366 = 318*s - 997*s - 9665 - 19277 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131788 and 4982?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1657 - -26?\nAnswer: -1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*c = 666*c - 124*c - 3210 + 21264 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let t(k) = 2*k + 6. Let q(m) = 5*l(m) + t(m). Does 5 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*s**2 + 144 - s - 34*s**2 + 20*s**2 - 3*s**2 - 2*s**2 + 9*s**2 - 2*s**2 + 1 - 1 + (-s - 4 + 4)*(-4*s + 0*s + 3*s).\nAnswer: s**2 - s + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 0*k - 103548 + 103545 - 2*k + 280*k**2.\nAnswer: 280*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45\/107 - 242\/321. What is the smallest value in -1, s, -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -8)*40\/(-2). Let j = -14 - m. Suppose -4*q = -2*k - j - 2, k = -2*q + 16. What is the least common multiple of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 368 + -322. What is the first derivative of -733*f + 733*f - 58 - w*f**3 - 70 wrt f?\nAnswer: -138*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**4\/12 + 4*a - 1. Let v(m) be the first derivative of b(m). Let k(i) = -2*i. Calculate k(v(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 2*q**2 + 1 - 3 + 148*q - 147*q. Let v(j) = -j**3 - j**2 + j. Give -v(k) + z(k).\nAnswer: 2*k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.404 times -384\nAnswer: 155.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 3*q + 1. Let s(c) = -1. Let k(z) = i(z) - 4*s(z). Calculate k(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 184 in decreasing order.\nAnswer: 184, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -26*p**2 - 7*p**2 + 49*p**2. Let q be (-15)\/6*4\/(-5). Let f(j) = 4*j**2 + 66*j - q*j**2 - 66*j. Give f(r(h)).\nAnswer: 512*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -74. Let n = -25.6 + t. What is n rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:27 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - 15. Which is smaller: y or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222783 and 5379?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2662))\/(sqrt(8)\/sqrt(4)*6 + sqrt(2)) + ((sqrt(1100)*2 + -1)**2 - sqrt(1100) - (0 + sqrt(1100) + 1)).\nAnswer: -398*sqrt(11)\/7 + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -10, 21 in descending order.\nAnswer: 40, 21, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 696485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 + 3*d**2 - 15. Let k(v) = v**3 + v**2. Determine -b(n) + 5*k(n).\nAnswer: 2*n**3 + 2*n**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*q + 17. Suppose -3*x - 20 + 2 = -3*k, 0 = 2*x - k + q. Let w be (-11)\/(-12) - (-2)\/(-3). What is the third smallest value in -0.5, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000029002 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321406512 divided by 354.\nAnswer: -907928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) - (sqrt(242) - sqrt(242)*2)))\/sqrt(11) + 1*sqrt(198))\/(sqrt(162) - -2*(sqrt(162) + (-6*sqrt(162) - sqrt(162)))).\nAnswer: -2*sqrt(11)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322 - -143. What are the prime factors of d?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 42 = 18*k. Let f be ((-1)\/k)\/(3\/(-18)). Solve 5*n - 2 = 3*n + 2*d, 7 = n + f*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*t - 100, 2*b - 95 = -2*t - b. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 502 + -332. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -531 + -504?\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.16 - 4.3. Is 0.1 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**1)\/((m*m**(-2\/21))\/m)*m**(7\/4)\/m*(m**(1\/10)\/m)\/m*m assuming m is positive.\nAnswer: m**(-23\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 3284*w**2 + 675680*w + 672400.\nAnswer: 4*(w + 1)*(w + 410)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + 21*p**2 - 26*p - 9. Let j be o(9). Let m be 0\/2*(-1)\/2. Solve 4*f + z - 21 = j, -3*z + 4*z - 5 = m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -479 + 414. Let u be 61 + t - 716*131. What is u rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18811, -2\/21, -1 in increasing order.\nAnswer: -1, -2\/21, 18811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = 3*r - 28, -4*l = -5*r + 36. Suppose 5*b + t - 21 = 0, -t + 20 - 4 = r*b. Suppose -3*o = -o - b*h - 5946, 3*o = 4*h + 8905. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 49*z + 3. Let x be t(-49). Factor 0*c - 4\/7*c**2 + 2\/7 + 0*c**x + 2\/7*c**4.\nAnswer: 2*(c - 1)**2*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 122*z + 88. What is the thousands digit of k(50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 11 - 11)*(-2*p**4 + 5*p**4 - p**4 + (-p**2 - 4*p**2 + 4*p**2)*(-5 + 2*p**2 + 5) - p**4 - p**4 + 0*p**4 - p**4 + 0*p**4 - p**4).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58093297 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 + 2*o**2 + o**2 + (0*o + 0*o + 2*o)*(-5*o + 2*o + o) - o + o + 2*o**2)*(0 + 3 + 1) to a*o + p + w*o**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 58*v**2 - 60*v - 166. Let f be b(-57). Solve 2*s + 2*k = -2*s - 18, f = -k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 6*r**2 - 2*r - 3. Let o be g(6). Let y = -11 - o. Let l be (-3)\/(3\/12*y). Sort 3, l, -4 in ascending order.\nAnswer: -4, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2492 is divided by 249.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7618 or -7615?\nAnswer: -7615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*o - 1513 - 117 - 121 = 0 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4 = 0, -h - 5*o + 4 = 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 90*q + 385.\nAnswer: 5*(q + 7)*(q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-105)*5 - (-201)\/(-9). Sort z, 1, 3 in ascending order.\nAnswer: z, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0344 + 8?\nAnswer: 7.9656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.029? (a) 26 (b) 4 (c) 1\/2 (d) 3 (e) 0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(((-8)\/(-16))\/((-1)\/(-2))). Suppose -5*d = 4*b + 7 - 48, f = b - 4. Solve -4*j - 3*v = -10, -4*j + d*v + 24 = v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -12*i - 8. Let w be k(-3). Suppose 0 = 2*v + 5*v - w. Solve -10*h = -11*h + v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6392421 times -3\nAnswer: -19177263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - 1*sqrt(110)) + sqrt(110))*-5)\/(2*sqrt(40)).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 - 2. Let o(c) = -c**2 - c. Determine d(h) + 3*o(h).\nAnswer: 2*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2200002 milligrams to grams.\nAnswer: 0.0002200002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50056518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-63))\/((-22)\/3).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374280 divided by 3.\nAnswer: 124760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-12 + (2 - -6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1882\/399 - -450\/133. Which is the second smallest value? (a) 1\/3 (b) p (c) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75484?\nAnswer: 2, 113, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5884*v - 2819*v - 3065*v + 4*v**2 - 8*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-8))\/(2\/(-8)). Let y(t) = -27 + 7 + 2*t + 17 + 12. Let x be y(-7). Sort v, x, -4 in ascending order.\nAnswer: x, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w - 15. Let h be z(-13). Let s be ((-79)\/(-3))\/(8\/h). Let k = s - 59. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-78)\/63 + (-32)\/(-280)*5)*-291 is divided by 168?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19847*q**5 - 2*q**3 + 77278*q**2 wrt q.\nAnswer: 1190820*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -46*v + 51*v + 10, u + 2 = -v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -5, 0.4, 2\/9, 14?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 10*u**2 + 4*u**2 - 15*u**2 + 2*u**2 + 5*u - 5*u + (-5*u + 2*u + 0*u)*(0*u + 0*u - 2*u).\nAnswer: 7*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 532*q**2 - 6*q - 3. What is the tens digit of b(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u + 59*u**2 + u**2 - 61*u**2 to d*u**2 + y + h*u and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152)\/sqrt(2) + -5)*-3)**2 + (sqrt(19) - (sqrt(19) + (sqrt(475) + sqrt(19))*-6 - sqrt(19)) - (sqrt(19) + (3*sqrt(304))**2)))*6 + 4.\nAnswer: -10958 - 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 0*r**2 - 24 + r**2 + 10*r - r**2. Let u be i(6). Let t be 48\/27 + 2\/9 + u. What is the greatest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 15*y + 27. Solve 20 = y*v - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/1*(-3)\/(-1). Let m = a - -77. Let c = 246 - 151. What is the greatest common factor of c and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557700?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j**2 + 46*j - 70. Let t be r(2). Solve 14*g = -t + 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**30*v)\/v*v)\/v**19 assuming v is positive.\nAnswer: v**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eev when three letters picked without replacement from vvvvvvvvvvevvvvvevv?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/12 + (135\/(-30) - 1))*(85 - 1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 + 192. What is the remainder when j is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 380 = -c + 5*c, 0 = -m + c + 95. Suppose 0 = 8*q + 135 - m. Sort -33, -0.5, q.\nAnswer: -33, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, t: 3, x: 2, v: 9}. What is prob of picking 1 k, 1 t, and 2 v?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*j + 4. Suppose 3*h + t - 66 + 1 = 0, 4*t - 76 = -4*h. Suppose -16*s = -9 - h. Solve 3*p + s*p + 5*n + j = 0, -2*n = -5*p + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**2 - 17*n + 13. Let x be w(-12). Let g = 676 + x. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191148665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.12, 1000, -2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -21*32\/(-112) + -3. Solve 4*m + 2*y - 132 + 140 = 0, -w*m - 39 = -4*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324513 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-3)\/20*(-21)\/(-63)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 0.1. Let j = h + -0.83. Let z = j - 4.87. What is the nearest to 1\/4 in -2, -0.05, z?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = -18*d + 155 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29469, 29468, 29467, 29466?\nAnswer: 29465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 6)\/(86 + -85). Solve -p*y - 3*x = -4*y - 4, 5*y + 20 = 5*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3313.5 - -0.2.\nAnswer: 3313.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 9, 4, 3 in decreasing order.\nAnswer: 9, 8, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 292 - 389. Calculate the common denominator of 123\/50 and 1\/(-24)*(58 + m).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 952*m + 963*m - 2876*m + 962*m + 47*m**3.\nAnswer: 47*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frzfrrr. What is prob of sequence zf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, q: 3, u: 2}. What is prob of sequence quq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*p - 35, 0 = 4*z - 2*p + 6*p - 40. Suppose -z*w + 4867 = 812. Suppose 2*b = b + w. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojpopjffjfpmmkp. Give prob of picking 2 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*21\/(-14)*(-2)\/(-12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88004407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cd0d8e (base 15) to base 3.\nAnswer: -200101112222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -b + 6*b + 143, 0 = 5*d + 10. Let f = b - -68. What is the smallest common multiple of f and 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**5 + 30 + 5 - 5*j**5 + (2*j**4 - j**4 + j**4)*(-6*j - j + 5*j) + (3*j**2 - 3*j**2 - j**3)*(-3*j - j**2 + 3*j).\nAnswer: -j**5 + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g. Let j = -28 + 30. Let q(a) = -a**2 - 6*a**2 + 8*a**j. Determine b(q(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 26 = -4*n. What is the remainder when 38 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5036847 nanograms in micrograms?\nAnswer: 0.0005036847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 74, 1, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -3*p**4\/4 - 4*p**3\/3 - 2*p**2 + 2*p + 306. Let h(c) = 13*c**3 + 17*c**2 + 17*c - 9. What is 9*a(v) + 2*h(v)?\nAnswer: -v**3 - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1967)\/28)\/((-3)\/(-9))*-4. Calculate the highest common factor of 9554 and m.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -8) + (14 - 20 - (8 - 3)). What is the nearest to 0 in -0.3, 0.06, -3\/7, v?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 21. Let n be c(-18). Suppose -3*f + n*q + 45 = 0, -2*f + 4*q + 27 = -f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 48 + 51*n - 50\/7*n**7 + 0*n**2 + 0*n**6 + 0*n**4 + 0*n**5 + 2\/3*n**3. Find the third derivative of u(a) wrt a.\nAnswer: -6000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1464456629\/12420 + 589556\/5. What is the common denominator of m and 91\/1518?\nAnswer: 27324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/7, -519567.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 10*r - 20 = 0. Let f(s) = -7*s**3 - 3*s**2 + 2*s + 10. Let h(u) = -6*u**3 - 2*u**2 + u + 9. Let n(d) = r*f(d) + 6*h(d). What is n(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 110 = 20. Let v be j\/(-25) + (-1 - 969\/(-15)). What is the greatest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*y + 20 + 66 + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.39013s in days?\nAnswer: 0.006173496875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 16 + 11*j - 9*j.\nAnswer: 2*j - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:47 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -12*d**2 - 3*d + 5. Let z be -1*((-4)\/6)\/(5\/30). Let m(x) = 12*x**2 + 3*x - 5. Let g(u) = z*t(u) + 5*m(u). Does 25 divide g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 34*c + 7. Let z be t(17). Suppose 3 = 3*x, 2*w - 4*x - z = -3*x. Solve 4*u + 11 = 3*g + 3, 0 = -2*u - g - w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.63626 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -101, -885, -3057, -7307, -14325, -24801?\n\"Answer: -115*b**3 - 4*b**2 + 33*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 453581 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1424033125 + 1?\nAnswer: 1424033130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**2. Let x(l) = 51611373*l. Calculate x(p(s)).\nAnswer: 412890984*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -25. Let p(t) = l*t + 2*t + 2*t**2 - 16 + 8*t - 4*t. Is p(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 120\/54 + 4\/(-18). Suppose 4 = 4*w - g*c - 18, 13 = w - 3*c. Suppose -2*m - w*m = -18. Solve -4*t + m*l + 27 = 0, 0*l - 5*l - 31 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21617, 21641, 21681, 21737, 21809?\n\"Answer: 8*m**2 + 21609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2801, -2\/3, -144\/5, -1 in descending order.\nAnswer: -1\/5, -2\/3, -1, -144\/5, -2801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/17, 168, -0.1, -2\/9.\nAnswer: -2\/9, -0.1, 0, 2\/17, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -12*f - 7*f + 25*f. Let i(a) = 4*a**2. Determine i(y(p)).\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -152 or -0.102?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) 5 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Let m be (6\/(-8))\/(18\/g). Let k = 2476.2 - 2476. Sort m, k, 0.06 in ascending order.\nAnswer: m, 0.06, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + 4 + -6*(sqrt(180) + 2).\nAnswer: -36*sqrt(5) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105.7 + -2.7. Let x = -102.99866 + g. Round x to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19875, -40829, -61783, -82737, -103691, -124645?\n\"Answer: -20954*o + 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/85 and -73\/6369?\nAnswer: 541365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -5. Let t be (-4)\/(-4) + (-18)\/a. Let r = 0.4 + -0.3. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 1, 3993, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/2 - 7)*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117292, -469572, -1056706, -1878694, -2935536, -4227232?\nAnswer: -5753782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/(-2)*33*33\/(-165) and 23\/98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10148157 divided by 3.\nAnswer: -3382719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24926*q**3 + 5*q**2 - 2954155*q?\nAnswer: 149556*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 155c34 + -c?\nAnswer: 155c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 490884421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41041?\nAnswer: 7, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -8 - 1\/3*r**3 - r**2 + 0*r. Determine p so that o(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = y + 9, -i = -y - 4. Suppose -6*m - 2*m = -656. Suppose -415 = -i*v - 5*h, -h = 5*v - m - 341. What are the prime factors of v?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4 + 4 = -2*l, -339*p - l + 7 = -335*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-68) + 294\/51.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 1)*(0*s - 3*s + 5*s) + 2 - 2 - s + 3*s - 6*s + 4*s)*(2*s**4 - 4*s**4 - s**4).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24157, 48379, 72665, 97015, 121429?\n\"Answer: 32*u**2 + 24126*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 101*t + 5868. What is k(42)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t**6*t**(2\/7)\/t**8)\/(t**1\/t**(-2\/15))**(1\/21) assuming t is positive.\nAnswer: t**(-1187\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzn when three letters picked without replacement from nnnnzzjnnxnnzjz?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452219.\nAnswer: 19, 23801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*i**2 - 2*i**2 + 4*i - 4*i to l*i + p + w*i**2 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 186 = -36*k. Let u(r) = 5*r - 5. Let h(q) = -q + 1. Let b(m) = -6*h(m) - u(m). Let f(l) = -9*l + 3. Calculate k*b(c) + f(c).\nAnswer: -3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f**3 + 2*f**2 + 13*f + 8. Let k(d) = 4*d**3 + d**2 + 4*d + 3. Determine -8*k(v) + 3*w(v).\nAnswer: v**3 - 2*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 0*o - o + 7*o + 2*o + 2. What is the remainder when x(7) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.9 + -8.032. Let w = j + 0.12. Round w to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(87*b - 17*b + 181*b)*(-15 + 15 - 3*b**2) to the form q*b**3 + p*b**2 + s*b + g and give q.\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 856 - -7?\nAnswer: 85d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1185 or 14\/83?\nAnswer: 1185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.74, 3 in decreasing order.\nAnswer: 3, 2\/7, -0.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 5. Suppose 0 = -3*y - 13 + 1. Calculate the least common multiple of r(y) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 17*d**5\/15 - 13*d**3\/6 - 268*d**2. Differentiate x(n) with respect to n.\nAnswer: 136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489034.2s in microseconds?\nAnswer: 489034200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -247*c*t**3*w - c*t**2*w**3 + c*w**3 - 7*t**3 - 60*t**2*w**2 + 2*w**3 wrt c?\nAnswer: -247*t**3*w - t**2*w**3 + w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11*q + 377. What is i(-33)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 139 - 26*a**2 + 0*a**3 - 1\/4*a**4 - 103\/5*a**5 + 0*a. What is the second derivative of l(x) wrt x?\nAnswer: -1236*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1482, 1487, 1492?\n\"Answer: 5*h + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360.0397 millennia to centuries.\nAnswer: 3600.397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366535010 to the nearest integer?\nAnswer: 19145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 887*m**2 + 434*m**2 + 66*m**2 - 898 + 276*m**2 + 900 to f + q*m**2 + x*m and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 0 - 4)*(6 - 2*r - 6 + (5 + 1 - 4)*(-4*r + 3*r - 2*r))*(-3 + 1 + 1)*(-1 - 1 + 1) in the form q + c*r and give c.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 3*u - 837*u**2 + u - 1399*u**2.\nAnswer: -2236*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 1099, 3720, 8815, 17206, 29715, 47164, 70375?\nAnswer: 100170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2234229 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 550, 1235, 2168, 3343?\nAnswer: 4754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/34 (b) 2\/7 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 = -0. Suppose 7 + v = 2*d. Let z(h) be the first derivative of h**2 - 2*h + 1. What is z(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, s: 3, u: 1, e: 3, w: 5, o: 2}. What is prob of picking 2 s, 1 e, and 1 o?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8445 by -20936.\nAnswer: -8445\/20936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1060 * 5.\nAnswer: -5300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4945010*d**2 + 11646548*d - 1 wrt d?\nAnswer: -9890020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2180 and 4613098?\nAnswer: 46130980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*(u\/u**(2\/7))\/u*u*u)**(1\/4)*((u\/u**(-2\/3)*u*u)\/u)**16*(u\/(u*u**(-3\/4))*(u*u**5)\/u)**(-3\/43) assuming u is positive.\nAnswer: u**(39230\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**5 + 3*q**4 + 3*q**2 - 3*q - 3. Let l(n) = 3*n**5 + 2*n**4 + n**3 + 2*n**2 - 2*n - 2. Let r(h) = -3*l(h) + 2*y(h). Factor r(x).\nAnswer: 3*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7732013 and 0.\nAnswer: -7732013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 21*g**2 + 2*g + 17. Suppose -2*h - 5*z + 13 = 0, -33 = 14*h - 18*h - 3*z. Is c(h) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 2*o**3\/3 - 3*o**2\/2 + 2*o - 16. Let q be g(2). What is the second derivative of -7*r**q - 48*r + 33*r - r**4 wrt r?\nAnswer: -96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yya when three letters picked without replacement from {d: 1, a: 5, p: 1, o: 1, y: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 7, d: 2, t: 8}. Give prob of sequence ed.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**3\/15 + o**2\/5 - 10. Find t such that n(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*y + 1018 - 11308 = 275*y for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176))**2 + -1 - sqrt(44).\nAnswer: -2*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12898 + 37283. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660868 is divided by 643.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*((sqrt(85) - (sqrt(85) + (sqrt(85) + (-4*sqrt(85) - sqrt(85)) - sqrt(85) - sqrt(85))) - sqrt(85))*-6)\/(sqrt(245)*-2).\nAnswer: 90*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8028 divided by -4014?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -295.149186 and -0.1.\nAnswer: -295.249186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (-707)\/49) + (-60)\/42. Solve -5*r = -5*a - 22 + o, -17 = 3*r + 2*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.37036kg to tonnes.\nAnswer: 0.05937036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-30))\/((-69)\/690). Let z be (1\/(-14))\/(1\/6). Sort m, z, -7 in descending order.\nAnswer: m, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27976 is divided by 13983.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**2 + 180. Let j(p) be the first derivative of -3*p**2\/2 - 1. Calculate t(j(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, i: 4, o: 1, s: 7, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*d - 14, -3*u - 2*u - 2*d + 18 = 0. What is the highest common divisor of u and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -13*c. Let n(q) = -q - 3. Let f(l) = -32*l - 3. Let b(a) = 28*a + 2. Let u(d) = 6*b(d) + 5*f(d). Let z(m) = n(m) - u(m). Give z(x(v)).\nAnswer: 117*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(6\/11))**(5\/13)*(v\/v**(2\/7))**(17\/5))**(-3) assuming v is positive.\nAnswer: v**(-7923\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4\/5 + 674756*l**3 + 6747554*l**2\/5 + 3373776*l\/5 = 0?\nAnswer: -1686888, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 25\/4 - -2. What is the third biggest value in 0.5, v, 0.01?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011432 to 6 decimal places.\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 2 = -4*t, -3*t - 12 = 0. Let o be (w\/(-2))\/(15\/20). Let k be ((-3)\/(-6))\/((-3)\/o). Solve -11 = 2*v + 4*u - k, -2*u - 10 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z = 2*l - 32, l + 3*z = -6. Solve -l = -3*y - 0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 391\/78 - 20\/39. Let n(m) be the first derivative of 9 - 3*m - t*m**2. What is the derivative of n(q) wrt q?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63971.34768 to the nearest 10.\nAnswer: 63970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 2*l - a, 0*l + 3*a = 5*l - 253. Let w be 74\/10 - (-8)\/(-20). What is the remainder when l is divided by w\/((-7)\/(-18)) - 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 + 18*v**3 + 0*v**2 + 0*v**2.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*-13\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30020, -30023, -30026, -30029, -30032, -30035?\n\"Answer: -3*h - 30017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Let m(r) = -4*r - 2. Let x(b) be the second derivative of 65*b**3\/6 + 9*b**2\/2 - b + 6. Let v(n) = -4*m(n) - x(n). Give o(v(h)).\nAnswer: -98*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 7*p**2 + 5*p - 3. Suppose -j - 4*j + 25 = 0. Suppose j*s + 39 = 9. Is d(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -25171150\nAnswer: 3\/25171150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 6*n - 3*n**3 + 0 + 2 - 6*n**2 + n**3. Suppose -6 = -2*z + 4*f, -z - f = -3*z - 6. What is q(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3383 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 909*z + 1194 = 312*z. Suppose -3*y = 2*y. Sort -1, -18, y, z in descending order.\nAnswer: y, -1, z, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 8, i: 5, t: 2, s: 2}. What is prob of picking 1 s, 1 t, and 1 i?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 384 + 137. Suppose 82*z - 2088 = 194*z - 116*z. Is z != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*a**3*d*p**3 - 15182*a**3*d*p**2 + a**2*d*p**2 + 152*a**2*p**3 + 4*a*d*p**3 - 29*d wrt a?\nAnswer: -516*d*p**3 - 91092*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 111.64 and 281.2503?\nAnswer: 169.6103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00059841 to 6 dps.\nAnswer: -0.000598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*11\/(-4)*9422\/81433.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1\/(-3))\/((-70)\/3570)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8412 and 64879?\nAnswer: 545762148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 + -281. What is the nearest to 0 in 1\/3, -0.04, x?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3421868 decades?\nAnswer: 3.421868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + 2*(-1 + sqrt(396) + sqrt(396) + -1)*6)*-2)**2.\nAnswer: -1036800*sqrt(11) + 32935824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112.722408 - 87.7223925. Let q = i - 25. What is q rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010012 (base 3) to base 6.\nAnswer: 14305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3664 + -55007\/15. What is the common denominator of -11\/57 and a?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2427 is divided by 152.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - h + 90 = 0, 5*u = 2*u - 2*h - 41. Let m = -9 - u. What is the greatest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 + -0.6. Let q = 11314 + -11318. Let p = 7 - 5. What is the second biggest value in -0.4, p, n, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 (base 15) to base 11\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 72\/(-10)*(15 - 20). Calculate the highest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126, 231, 326, 411, 486, 551?\n\"Answer: -5*s**2 + 120*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.3 - 4.88. Let c = 0.99 + m. Let j = c + -57.41. Put -3, -2\/9, j in descending order.\nAnswer: -2\/9, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3251371 - 2?\nAnswer: 3251369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (101 - 27*b - 101)*(-3 + 3 + b**2)*(3 - 3 + 2) in the form a*b + z*b**3 + u*b**2 + l and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8\/9)\/j**(1\/5)*j**15*(j*(j*((j*j\/(j*j\/(j\/((j*j**0)\/j))))\/j)\/j)\/j*j)\/j assuming j is positive.\nAnswer: j**(626\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1.4.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 14*y**2 + 11*y - 15. Let f be n(-12). Let a = 0 + 4. Suppose 4*v - f = 5*i - 11, 2*v = a*i + 62. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89716893 divided by -3?\nAnswer: 29905631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 e when four letters picked without replacement from {e: 10, c: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w)**0*w**(-1\/6)\/(w\/(w**(-1\/6)*w)*w)*(w**(1\/6)*w**(2\/13))**(-2\/47) assuming w is positive.\nAnswer: w**(-823\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323)*2 + sqrt(27))\/(5*-2*sqrt(9) - sqrt(9)).\nAnswer: -15*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/899 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*l - 77 + 365 = -282 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, f: 8, g: 3, p: 2}. What is prob of sequence giig?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 25, -1, -37, -83, -139?\n\"Answer: -5*l**2 - l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (13 - 12 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1293, 2, 4\/7, 0.2, -4, -0.4, 8 in increasing order.\nAnswer: -4, -0.4, 0.2, 4\/7, 2, 8, 1293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-88) + 1\/66?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215, 5, -4, 1, 3 in ascending order.\nAnswer: -215, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137680560 a multiple of 2384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 72 - 147 + 26*s.\nAnswer: 26*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312187 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -35.9\nAnswer: -17.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 3, p: 1}. Give prob of sequence ns.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 + 3*k**3 - 3*k**3 + 0 + 3 - k**2 to the form j*k**4 + x*k**2 + p + n*k + z*k**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -557 + 831. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 297009 = 3*d, -5*j = -4*d - 241584 + 736596. Round j to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (15 - (-1 - 2) - (-1 + 0)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 2 + 2)*(4*p - 4*p + p**2) - 5*p - 2*p**4 + 5*p.\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.3, -5.24, 5 in decreasing order.\nAnswer: 5, 0.3, 0.2, -5.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1 - 3*o**2 + 4*o**2 - 2*o + 8*o**3 - 2*o**2 - 9*o**3. Give y(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 67\/2 + (-1)\/2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -93, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 213, 370, 537, 720, 925, 1158?\n\"Answer: v**3 - v**2 + 153*v + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 2*b - 1. Let v be f(1). Suppose -g - 4*g + 5*a + 15 = 0, 4*a = -4*g + 12. Suppose -l - 2 = -g. Which is bigger: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33.88 + 33.88. Which is the fifth biggest value? (a) 1 (b) -4 (c) -2 (d) q (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (-1 + sqrt(72))*-6)**2.\nAnswer: -504*sqrt(2) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 7*v + 57. Suppose -2*y - 33 = v. List the prime factors of 27 - y - (1 + 0).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from ljppjjlp.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c - 10. Let h be x(-6). Let a(l) = h*l**2 + 6*l - 2*l - 5*l + 12 - l**3 - 6*l. Is 31 a factor of a(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-368) - 1\/4. Let h be ((-2)\/50)\/(-3 - (-96)\/30). Sort p, h, 2.\nAnswer: h, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*x + 2*u = -46*x - 893, 5*x + 0*u + 4 + 5 = -u - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*g = -38091 + 643859 + 125242. Does 177 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24700)\/624 + 40)*3\/10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2 + 14 = 0. Suppose -28 = d*w - 6*w. What is the third derivative of w - 14 - o**2 - o**5 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -436430 (base 8) to base 7.\nAnswer: -1150506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1041 - -690. Let t = 350.99956 + f. What is t rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z**5\/5 + 174*z**4\/5 - 840*z**3 + 14454*z**2\/5 - 621*z\/5 - 6804 = 0 for z.\nAnswer: -20, -9\/7, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, s: 7}. Give prob of picking 3 o.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 3*q + 6*q)*(7847 + 1655 + 10683 + 7773 - 5020) as i*q + u and give i.\nAnswer: 68814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 200666154 + 200666154.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + o = -13*x - 465, -4*x + 3*o = -615. What is the highest common divisor of x and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1594, -2526, -3458?\nAnswer: -4390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q + 0 + 1 - 3. Let v be y(-2). Suppose 5*w - 7*w - v = -r, -5*r + w + 53 = 0. 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: Solve -35*l + 56 = 161 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.152, 4, -0.3?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63340.\nAnswer: 2, 5, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.15*-65\nAnswer: 74.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-1 + -1)) + 9 - (-1367 + 1419)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (2 + 2) - 115\/(-35). What is the closest to 0.1 in u, -4, -2\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76534698.\nAnswer: 2, 3, 19, 671357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 9*u - 18. What is i(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 636 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -71869 divided by -10267?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 3*t - 3*t. Let g(f) be the first derivative of f**4\/24 + f**2 - 2. Let o(z) be the second derivative of g(z). Determine o(w(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -1 + 2\/7*p**7 + 0*p + 0*p**2 + 0*p**6 + 2\/3*p**3 + 0*p**4 + 0*p**5. Find the third derivative of l(u) wrt u.\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/12 - y**3\/6 + 3*y**2\/2 + 3*y. Let j be (-3)\/(-2 - 1) - -2. Give n(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4445871090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*h = -20, 0 = 2*i + 2*h - 6*h - 30. Let g = -9\/8 + -3\/8. Which is the nearest to -1\/2? (a) i (b) g (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/30 + 5*c**4\/12 + 2*c**3 - 116*c**2. Factor s(o).\nAnswer: -2*(o - 6)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8675091 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - r + 10 = -47, -r = -5. Let f be 2 - (0 + n)\/(-2). Is 15 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 802439671 to the power of 1\/2, to the nearest integer?\nAnswer: 28327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1)\/((-13608)\/(-144)*3\/(-9)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 19316.\nAnswer: 19316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.4696km in centimeters?\nAnswer: 30446960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 647185?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*c = 8 - 1, c + 14 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4855)\/(-5826)*3\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4211112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l**21)*l*(l\/l**(-2\/9))\/l*(l*l**(-1\/12))**(-1\/34) assuming l is positive.\nAnswer: l**(-23017\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.94 + -3. Let g = -0.06 - k. Let f = 15 - 13. Which is the closest to -3\/2? (a) 1 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90\/41 + -4688\/2173. Let t = -96\/265 - y. Is 0.9 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 646264 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22 and -5902.\nAnswer: -1298.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 568.1062mm in nanometers?\nAnswer: 568106200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28138 + 63338640\/2251. Is n <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*u**2 + 84*u**2 + 39*u**2)*(0 + 4 + 0).\nAnswer: 388*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/10*(-350)\/3465\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f - 2 + 2 - 44*f + 14*f + 9*f + (4 + 2 - 4)*(f + 0*f - 2*f).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1032 and 146028.\nAnswer: 292056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 - 2*z + 28. Let x(u) = -12*u**2 - 4*u + 57. Let n(w) = 5*k(w) - 2*x(w). Let h be n(4). Find v such that 4\/11 + 2\/11*v - 2\/11*v**h = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 23 + 1 = 0. Suppose 0 = 5*o + c - 16. Suppose -o*u + 114 = -166. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34062656\/7 at most 4866095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3 + 2 + sqrt(117))*6*2)*-2.\nAnswer: -72*sqrt(13) - 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c. Suppose 2*n - 5*a - 77 = 0, -116 - 71 = -4*n - a. Let l(z) = -7*z - 17*z + 53*z + n*z. What is l(o(m))?\nAnswer: -300*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 8:48 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2. Let j(f) = -1151721*f**2. Calculate l(j(o)).\nAnswer: -3979383785523*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 4}. What is prob of sequence bf?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + f - 1. Let h = -5 - -8. Suppose h*b = 2*b. Give m(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39312 and 3241728?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 302518428?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 63, 245, 595, 1167, 2015?\nAnswer: 3193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Suppose 13 - b = 3*l. Suppose 4*o + 0*k - 2*k = 26, 0 = 5*o - 2*k - 30. Solve -l*r + 2*r = -o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 403 + -452 + (-1 - 1) + 3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + 2*sqrt(125) + 5)**2 + (4*(0 + sqrt(125)) - sqrt(125) - (-2*sqrt(125)*2 - sqrt(125)))**2)*-5*4.\nAnswer: -341960 - 5600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + h + 108, 3*h = 22 - 10. Let f = 28 + p. Solve -2*n = -f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*a**6 + 9*a**3*q + a**2*q - 11*a**2 - 11 wrt a.\nAnswer: 3840*a**3 + 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 11:19 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 740 = -9*g + 90*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*n**3 + 185*n**2 - 190*n - 55*n**3 + 120*n**3 = 0 for n.\nAnswer: -38, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 5*q - 2*q)*(-3*q**2 + 0*q**2 + 4*q**2) + 5*q**3 + 4*q**3 - q**3 - 2 + 2 + q**3 - 2*q.\nAnswer: 11*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37600 and 8161600.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 4244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 2\/5*m**2 - 282\/5 = 0.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 168 + -1 - (0 - -2). Let m = -108 + 111. Suppose -y = -2*h + b, m*b - 2*b + 333 = 4*h. Calculate the greatest common factor of 21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g*g**4)\/g)\/g)**(1\/44)\/(g**(-3\/7)*g\/((g\/((g\/(g\/(g**(-8)\/g)))\/g*g))\/g)))**(-9) assuming g is positive.\nAnswer: g**(-23679\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -2. Let z be 9*(c\/(-6) - -1). Suppose 2*t + z = -3*o + 73, -2 = 2*o. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 18*b**3 - 26*b**2 + 2*b - 2. Let a(i) = i**3 - 3*i**2 - i - 1. Let s(p) = 2*a(p) - k(p). Factor s(v).\nAnswer: -4*v*(v - 1)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*c**4 - 21*c**3 - 1828*c**2 - c wrt c?\nAnswer: 816*c - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1046 + -1045.7. What is the closest to -16 in 0.4, 1\/6, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-496)\/(-155)*(-520)\/52.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/26)\/(1 + 1). Let v = 1.01 - 0.91. What is the nearest to v in -2\/15, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 9:33 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*r - 27. Let t = r + -14. Let b(i) = -i**3 + 4*i**2 + 3*i - 4. Determine b(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9527, -9593, -9659, -9725?\nAnswer: -9791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95232.819 * 2.\nAnswer: -190465.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -l + 13 - 10, -5*l + 15 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 2 + -10 - (-2 + 4)) + 1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*s - 2118, 20 = 5*s + 25. What are the prime factors of w?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 0 + 12 = 0. Suppose 7*z = w*z + 255. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 174?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 3*l**2 - 10*l - 6. Suppose -52*o + 220 = -40. What is q(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -9\/8 (b) 9\/5 (c) -1\/127 (d) 2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -242957*s**3 - 33217*s wrt s?\nAnswer: -1457742*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooozoooo. What is prob of picking 2 o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 1. Let t(i) = 73*i**2 + 89*i - 1. Suppose -7*o = -24*o - 17. Let y(b) = o*r(b) + t(b). Find the second derivative of y(w) wrt w.\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(44)*2 - sqrt(44)) + (sqrt(110)\/sqrt(5))\/sqrt(2) + (sqrt(704) - (-2*sqrt(704))**2))*-1 + -2.\nAnswer: -19*sqrt(11) + 2814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 53. Solve 17 = -2*g + z + i, -g = 5*z - 22 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - -0.17. Which is the smallest value? (a) -4 (b) 2\/13 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -32*j**2. Let g(v) be the second derivative of -v**5\/30 - 2*v**2 - 6*v. Let c(z) be the first derivative of g(z). What is y(c(l))?\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let i(u) = 23*u + 3*u**3 - 30*u - 9*u**2 - 4*u**3 + 8. Let p be i(-8). Let b(o) = -29 + 29 - 3*o + p*o. Give y(b(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 839, 838, 835, 830, 823, 814?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*f**3*n**3 - 7*f**3*n**2 + f**2*n + 17899*f*n**2 - 1595548*n**3 wrt n?\nAnswer: 84*f**3 - 9573288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20138.\nAnswer: 2, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1216*i - 32 = 1212*i. Let l be -1 + 1 - (-2 - 1). Suppose l*y + 80416 = -0*y - 4*s, 2*s + i = 0. What is y rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 17. Let a(n) = 5*n**2 - 13. Let v(p) = -p**2 + 1. Let t(x) = -a(x) - 4*v(x). What is -11*t(f) - 6*w(f)?\nAnswer: -f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -215*n**2 + 4764*n - 218. What is v(22)?\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.023 + -1.063. What is t rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -3 - (-927 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 + -37 + 1 - 35\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-21) + 13\/(-15). Is r < -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -33*w. What is the units digit of o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 143780104?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4869 and 0.34.\nAnswer: -1655.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 5*i**2 + 5*i + 5. What is the tens digit of n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50777*g**3 + 58*g**2 - 591*g wrt g?\nAnswer: -304662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = 21. Let i(n) = -2*n - 3. Let v be i(z). Suppose 2*h = -4, 2*h = 2*p - 7*p + v. Solve 0*l + 3*l + 15 = 3*k, -2*k = -p*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 57596.\nAnswer: 57596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -2 - (253 - 249)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146)\/7*1\/2 - 14080\/24640?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 12, -w - 4*t - 4 = -6*w. Let v = -5870 - -5870.5. What is the closest to 0.1 in 5, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*w = -p - 52, -4*p + 104 = -w. Let u = p - 21. Suppose -232 = u*a - 9*a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -15*q**5 + 36*q**4 - 33*q**3 - 36*q**2. Let i(x) = -3*x**5 + 7*x**4 - 7*x**3 - 7*x**2. Let u(m) = -5*b(m) + 24*i(m). Suppose u(f) = 0. What is f?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*v + 0*v = 41, 2*v - 43 = -5*u. Suppose -j - u = -1. Let k(i) = -10*i - 991. Let p be k(-98). Is j != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58958*q**2 - q**3 - 55673*q**2 + 22273*q**2 + 2*q**3.\nAnswer: q**3 - 92358*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6530040 and 5078920?\nAnswer: 45710280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1097 - -1108. Let j(z) = -z**3 + 12*z**2 - 8*z - 3. Calculate j(i).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 39*z - 105. Let w be a(-3). Suppose -2*q + 6 = 4*q. Solve -l = -4*c + w*c - q, -5*l + 2*c - 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(-2\/11))\/o*o*o*o\/(o\/o**(-16))*o)**(-47))**(-2\/31) assuming o is positive.\nAnswer: o**(-12596\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - z - 576 = 0, 4*g - 5*z + 199 = -569. Does 3 divide 1\/(2\/14 - g\/(-1456))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1. Let p(n) = -n + 13. Let w(m) = p(m) - 3*q(m). Let h be w(8). Suppose -2*v + 4*t = h*v - 152, -3*v - 4*t + 149 = 0. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 106.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640) - 5*(-2*sqrt(8640) + sqrt(8640)))\/((sqrt(4800) - sqrt(4800)*3) + sqrt(4800)).\nAnswer: -18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r - 1013 - 43. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 351992854?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272 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 a = 78 - 10. Let w(c) = -2*c**2 - 201*c - 860. Calculate the least common multiple of a and w(-96).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 11 = -2*g + 7, 2*g - 2 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -18 + 8\/(-4) - 2\/(-1). Is 6 a factor of 27\/6*(-696)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106392 * -1147.\nAnswer: -122031624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 10:40 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -11*y**2 - 8*y + 14. Let g(l) = 7*l**2 + 6*l - 9. Let b(q) = 8*g(q) + 5*k(q). Determine b(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a + n = 35*a - 320, 4*a = 3*n + 1278. What is the least common multiple of a and 6?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*i + 28 = 7*f, -2*i = f - 8. Suppose 0 = -5*w + 6 + f. Solve -2*z - w = 0, -c + 5*z + 17 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 3*j + 3. Let o be l(-1). Suppose 11 + 3 = 3*i + 2*n, -o*i = 4*n - 12. Find the first derivative of 9 + 10*b**3 + 3 - i - 3 wrt b.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*o**3 - 7*o**2 + 847*o?\nAnswer: -288*o - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 3}. Give prob of sequence aee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -30*w**2 + 8*w - 9. Let y(a) = 31*a**2 - 7*a + 9. Let v(c) = 5*t(c) + 6*y(c). Let o be ((-2)\/(-6))\/(27\/567). Is v(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(749\/14 - (-4)\/(-2)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 26*q + 3. Determine o(-27).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212 is divided by 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1088697 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6954 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -373 (base 10) in base 15?\nAnswer: -19d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f*i**5 - 53*f*i**3 + 2*f*i**2 + 3*f*i + 3*i**5 - 3*i**2 + 130 wrt i?\nAnswer: 240*f*i**2 - 318*f + 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/188 and 93\/140?\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.78786 centuries in years?\nAnswer: 4878.786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1. Let i(b) = -7*b**3 + 4. Let v(a) = 4*h(a) - 2*i(a). Find the first derivative of v(r) wrt r.\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 32*n = -240. Let c(p) = 2*p**3 + p + 6. Let k(d) = 4*d**3 + 2*d + 13. Give n*k(s) + 13*c(s).\nAnswer: 2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1539 and (-78)\/2*(-1232)\/(-474012).\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 30. Let q = 11.45558277 - -1.54441503. Let z = a + q. What is z rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/5)\/((-1)\/((-2)\/(-2)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 7*r**2 + 5*r + 1. Let t be u(-6). Let h = t + 0. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -154*o + 308. Determine f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98482 is divided by 1146?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15410 is divided by 55?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 + 37 + 3 - -12) + (-1 - -82).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 6*q**3 + 7*q**3 + 10*q**3.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1\/5, 3\/26, -1\/6 in decreasing order.\nAnswer: 14, 1\/5, 3\/26, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let k(i) be the first derivative of 20*i**3\/3 + i**2\/2 - 6. Give k(m(c)).\nAnswer: 20*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 174 and -16.8.\nAnswer: -2923.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/33 and 29\/13278?\nAnswer: 146058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Let k(t) = t**3 - 6*t**2 + 6*t - 4. Calculate the least common multiple of k(5) and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - z. Let c = -94 + 55. Let h = c - -37. Let x(d) = d**2 - d. Determine h*x(j) + t(j).\nAnswer: -3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 + (-11 - -17)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18875 - 3.06?\nAnswer: 18871.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.473084576 to 5 decimal places.\nAnswer: -1.47308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -a - 9. Is 14 a factor of (8\/3)\/((-4)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.66 - 3.549. What is r rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:56 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1010114 and 3059.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 + 28*b\/3 + 32\/3.\nAnswer: -4*(b - 8)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at least as big as 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*a*s + 2*s - 5 wrt a.\nAnswer: -47*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76100 (base 8) in base 6?\nAnswer: -403132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egfegeeeegeda. What is prob of sequence de?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 129, 131, 121, 93, 41, -41, -159?\n\"Answer: -u**3 + 9*u + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -737, -569, -401, -233, -65, 103?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 3*i. Suppose -10*z + 4*z + 180 = i. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 11. Let o(g) be the third derivative of -g**5\/60 + 11*g**4\/24 - 7*g**3\/6 + 68*g**2. Is 13 a factor of o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 826\/196 - 6\/(-4) and 32\/10 - (-3)\/6?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*x + 12 = -x, -4*x = -w + 5. Let g = -2 - w. List the prime factors of g\/2*2\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0186 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-20))\/(-15)*(30\/(-5))\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 0, -11.9, 0.0177?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5\/3, 2, -25\/283?\nAnswer: -25\/283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 10*z**2 - z + 19. Let c be n(10). Calculate the highest common divisor of c and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 86126250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p**(-2\/25)*p)\/p)\/p*p)\/p)\/(p*p*p*p**(1\/6)*p)*(p**(-1))**19)\/((p**1)**(-37\/4))**(12\/11) assuming p is positive.\nAnswer: p**(-23357\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 9*a - 16. Let k be r(-7). Let y = 7 + k. Suppose -y*h - 637 = -5*n + 3053, 2*n = 3*h + 1475. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from eieeeiieee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -10 (c) 5 (d) 17 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c2e (base 15) in base 9?\nAnswer: -24248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 473 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, o: 13}. Give prob of picking 3 o.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.27 - 0.27. Let w = -14.874 - -0.074. Let t = w + a. Which is smaller: t or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60.67 - -60.77. What is the third smallest value in -18, -1, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 116\/58 + (0 - (-2 + 1123\/306)) and -119\/108.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1782)*-1 + sqrt(22) - 6*sqrt(132)\/sqrt(6))\/(((1*sqrt(121) - sqrt(121) - sqrt(121))*-4)\/(sqrt(275) + sqrt(275)*2 - sqrt(11))).\nAnswer: 245*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 1. Let u(a) = 54*a**5 + 3618*a**4 - 11160*a**3 + 12518*a**2 - 6144*a + 1126. Let y(d) = -u(d) + 6*z(d). Solve y(v) = 0 for v.\nAnswer: -70, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 380 + 735 = 0. Suppose t - x = 5*l, 0 = 4*t + 9*l - 8*l - 787. Calculate the highest common divisor of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -55, 784, -1 in ascending order.\nAnswer: -55, -1, 0, 1, 784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -3. Let j be (3\/(12 + v))\/1. Which is the nearest to 0.1? (a) 3 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, d: 1, l: 2, r: 4, t: 3, p: 2}. Give prob of picking 1 t and 2 w.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2586750 by -10.\nAnswer: 258675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 2. Let q(k) = 1. Let b(i) = -7*i**2 + 2*i. Let u be b(3). Let w = 56 + u. Give w*v(m) + 4*q(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 101*z. Let c(i) = -34 + 74 - 40 - 2*i. Determine c(x(s)).\nAnswer: -202*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 - (-16 + 9 - -17).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g - 57 - 71 = -128. Find b such that -2*b**5 + 0*b**2 + g*b + 0 - 12\/5*b**3 + 34\/5*b**4 = 0.\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 3*a + 3*a**2 + 0*a**2 + (a + 0*a + 0*a)*(-1592*a + 301*a + 1030 - 1029) as y*a**2 + k + r*a and give y.\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/(-7)*9\/((-36)\/4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0 + 5 = 5*i, -i = -j + 3. Suppose 0 = -r + 2*r + j*k + 1, 4*r - 14 = -2*k. Calculate the highest common divisor of r and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210121101 (base 3) to base 6.\nAnswer: 432014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -959.067285 to the nearest ten.\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111221110 - -2032?\nAnswer: -111213012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -486 at most -485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/6 - -4)*(-406)\/(-3). Let m = 375 + v. Does 29 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -284 + 575. Suppose -6*l + 618 = -3*l. Let m = c - l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 3*s**2 + 0*s**5 + 0 + 0*s**3 + 0*s**7 + 0*s + 0*s**6 - 1\/112*s**8 - 1\/4*s**4. What is the second derivative of j(n) wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 25*r**2 + 13*r + 4. Let z(t) = -26*t**2 - 14*t - 5. Let l = -20 - -24. Let y(j) = l*z(j) + 5*m(j). Find the second derivative of y(w) wrt w.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67.08 + -0.08. Let m = -66.999969 + l. What is m rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18239?\nAnswer: 13, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300023 - 1210?\nAnswer: 1232213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 r when four letters picked without replacement from {c: 1, b: 4, v: 4, r: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -30*r + 32 + 62 + 35 - 162. Let x(d) = -d - 1. What is -6*p(g) + 198*x(g)?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**8\/140 + y**5\/12 - 59*y**2. Let i(h) be the third derivative of s(h). Let l(o) = 2*o**2. Calculate i(l(m)).\nAnswer: 576*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 5:45 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(28)\/sqrt(4))**2 - sqrt(7) - (-2 + -3*sqrt(7))**2)*-5.\nAnswer: 25*sqrt(7) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25428 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*i = -2015, -5*k + 4*i = i + 2522. Let c = 373 + k. Is c >= -131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (136\/(-12))\/(3\/9). Let k = 31 + h. Put k, -2, -7 in increasing order.\nAnswer: -7, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 533, 518, 515, 530, 569, 638, 743?\n\"Answer: p**3 - 22*p + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-415030)\/(-7623))\/(10\/18)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2912 - 2916. What is the second biggest value in -119, f, -3\/8, 1\/10, 1\/7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, -14, -27, -42, -59, -78?\n\"Answer: -m**2 - 8*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))**(5\/2))**(-7) assuming c is positive.\nAnswer: c**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462757 is divided by 1543?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)\/q*q*q*q*q\/(q*q**(-27))*q*q*q**7\/q**23 assuming q is positive.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.2, -2\/53, -0.046, 0.1.\nAnswer: -3\/5, -0.2, -0.046, -2\/53, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -211*o. Let t(i) be the second derivative of -i**4\/6 + 136*i - 1. What is x(t(q))?\nAnswer: 422*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 1\/2*z**2 - 38 - z. Give o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3220)\/115*(3\/4)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.084 and 1.3?\nAnswer: -0.1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + (-20)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g + 1704 - 1704.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(5) + 0 + -1*sqrt(500).\nAnswer: -9*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -429*i + 1715. What is the units digit of r(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7110951 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: Suppose 4*b + p - 1762 = 0, 0 = 5*b + p + 2*p - 2206. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417 divided by -1.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from kzyzlzzlllnqqzlly.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.446*-3\nAnswer: -1.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1071 = -42*d + 357. What is the lowest common multiple of 5 and d?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r. Suppose -n + 17 = 5. Let b = n - r. Solve 0 = 3*s - 3 - b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, b: 3, u: 1, z: 6}. What is prob of sequence bvu?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 248353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 302 = 5*k, -4*k + 5*c = -2*k - 110. Calculate the least common multiple of 20 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 39. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 9*w + 5\/2*w**2 + 1\/4*w**4 + 28 - w**3. Let g be z(5). What is the highest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*t - 2, 3*n + t + 4 = n. Let r(v) = 1 + 3*v - 10*v**2 + 6*v**2 - 3*v. Calculate r(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/10642122 and 65\/12.\nAnswer: 21284244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1728\/336 + 1 + -1 - (-8 - -14).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51291905 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 1070 = -5*t + 16*o, o = 5. List the prime factors of t.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/5, 1\/10, 285 in ascending order.\nAnswer: -5, 1\/10, 2\/5, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 852 + 958 + 318 = 0. Calculate the remainder when 411 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111679504?\nAnswer: 2, 577, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 - 3*c**3 - 11*c**3 + 6*c**3 - 6*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 481955 or 481950?\nAnswer: 481950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (10 + -5) - -5. Put 5, -5, 0, h in increasing order.\nAnswer: -5, h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 10\/3, 0.4.\nAnswer: 0.4, 3\/7, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k = -19*k - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6198.\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -20143*r**3 - 6*r**2 - 1437*r + 5. Let m(t) = 6714*t**3 + 2*t**2 + 477*t - 2. Let z(j) = -3*g(j) - 8*m(j). Find the third derivative of z(y) wrt y.\nAnswer: 40302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 4, -0.2, -17\/6?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11\/1107 (b) 1 (c) -38 (d) 5 (e) -3\/7 (f) 4\/5 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -7) + 2\/(-12). Let q = -7\/2 + j. What is the nearest to q in 1\/11, 1\/6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**3 - 8*v**2 - 46*v + 13. Does 10 divide j(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2756\/9 - 306. Suppose -5 = o, s - 12 = 3*o - 1. Which is the closest to s? (a) 1 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.28184 micrometers to centimeters.\nAnswer: 0.008428184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 14, t: 4}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 72, 153, 256, 375, 504?\n\"Answer: -o**3 + 20*o**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49453 minus 0.13445?\nAnswer: 49452.86555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1471274ml to litres.\nAnswer: 0.0001471274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*u = -7*t + 336, -3*t + 203 = -u. Calculate the highest common factor of 1479 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 21\/4 (b) -20 (c) -1\/93 (d) 1 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-3)\/(-105) + 6 + (-172)\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4565, -17238, -38369, -67958?\nAnswer: -106005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15*y - 132 - 88 = 0. Which is greater: y or 612\/29?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = i, 3*i = -4*y + 40. Suppose -q + y + 7 = 0. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15510)\/143)\/(-5) - 22\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 5*j**2 - 8*j - 2. Let x be i(-6). Suppose -x*s - 177 = -11*s. What are the prime factors of s?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 40*n**2 - 362*n - 8192. What is y(-44)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3 - 11. Suppose -f*g + 3*t - 2 = 0, g - 6*g + 12 = t. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-105))\/((-32)\/(-4608)))\/(((-30)\/25)\/(-3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -15. Let m = 4 - a. Solve -5*n - z = 4*z, m*n + 6 = -z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 11) + (13 - 8) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63233, 126457, 189681, 252905, 316129?\nAnswer: 379353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01096 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/((-10)\/(-6)). Let h = 247.1 - 236. Let c = h + -11. What is the third biggest value in c, -1\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43748252 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*c - 5, 4*c + 3*y = 7*y + 20. Suppose m - c = -3. Let q = -122 + 125. Solve q*l = m*a - 4*a - 12, 3*l - 3 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-504*d - 6*d**2 + 504*d)*(-3 + 1 - 3*d + 2*d).\nAnswer: 6*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**2\/2 + 5*f + 7. Let a be i(7). Let s be 1 + a\/((-42)\/(-27)). What is the second biggest value in 2, 4, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**3 + 0*n**3 - n**3)*((-4 + 1 + 2)*(2 - 3 + 2) + 6 - 2 - 3 - 2 + 4 + 0) to the form z + q*n + t*n**2 + i*n**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -199? (a) 0 (b) -2 (c) 0.0065 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-13)\/(-39)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Suppose -o*a = 58 + 23. Let t = a + 66. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 7:04 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1587912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2 + 15*j**3 + 13*j**2 - 6*j**3 - 12*j - 6*j**3 - 4*j**3. What is the smallest common multiple of 82 and r(12)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163233487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 60\/329 and 18\/7?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 307 and 223.\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*g = -92*g - 162*g + 6260 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 2365, 5288, 9327, 14482?\nAnswer: 20753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99746659 to the nearest integer?\nAnswer: 9987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 6 - -5) + -4 + 1 + 22.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*g + 22*g + 965*g as u + i*g and give i.\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 31 = 5*v - 1, -5*v = 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -333.7 (b) 3 (c) 1 (d) 5 (e) -3\/2 (f) -223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*b - 4*r + 7, 0 = 5*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/8*9)\/(6\/24). Let f(z) = -3*z**5 + 45*z**4 - 48*z**2 - 9. Let r(o) = -o**5 + 11*o**4 - 12*o**2 - 2. Let v(u) = y*r(u) + 2*f(u). Factor v(t).\nAnswer: 3*t**2*(t - 2)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -8, 3\/2, 0.3, -44, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16770 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from rhrhhhrhrhrrrxrhh.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7370 = -16*s - 714. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212820*i**2 + 199867*i**2 + 203926*i**2 + 182322*i**2.\nAnswer: 373295*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/9*2763\/(-614)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18776 - 5?\nAnswer: -18781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1509978 + -326278. Round c to the nearest 10000.\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132699 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**2 + 49*b - 34. Let j(a) = -3*a**2 - 18*a + 11. Let o(u) = 11*j(u) + 4*n(u). Give o(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*-3*(-988)\/33228*71.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11104109 and 119609?\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**4\/12 - 5*k**3\/3 + 5*k**2\/2 + 21*k + 26. Let x(d) be the first derivative of i(d). Does 15 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + w - 3. Let d(n) = -11*n**2 - 6*n + 17. Give -6*d(q) - 34*t(q).\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 820.921ml in litres?\nAnswer: 0.820921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + -1. Suppose 10*f = 14*f - 188. Let s = f + i. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7)*l*l**(-1\/8)\/l)\/((l*l\/l**(-1))\/l)**(-1\/7))**(2\/65) assuming l is positive.\nAnswer: l**(-383\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-36) - (1 - 6\/(-2))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 2114.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -701a - -437?\nAnswer: -67a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/723 and -76\/27.\nAnswer: 6507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/8624 and 1\/784?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3102 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/47 - 29\/141. What is the third biggest value in 0.3, -85, g?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d - 21. What is v(10)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**4 + 44*b**3 - 44*b**3 - 3 with respect to b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/12*-2 + 11\/6. Suppose -s*f + 3 - 2 = l, 2*f = l - 1. Suppose f*d + 3*h = 4*d - 996, d + 4*h - 249 = 0. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8798661973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**4\/6 - 10670*s. Let r(v) = v - 2606. Calculate c(r(d)).\nAnswer: -2*d**2 + 10424*d - 13582472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35939, 145741, 329409, 586943, 918343?\nAnswer: 1323609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 11*u**3 + 11*u**3 + 40 - u**3.\nAnswer: -u**3 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.4, 3, 115, -1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -5*l - 10. Suppose -45 = -6*q + q - l*w, -5*q = 4*w - 46. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63 - 127713223?\nAnswer: -127713140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -100*a**2 - 10*a. Let j(n) be the second derivative of 11*n**4\/4 + n**3\/2 - 20*n. Let o(t) = 10*j(t) + 3*k(t). Let y(h) = -2*h. Calculate o(y(g)).\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 6*s**2 - 7*s + 4. Let m be f(7). Let x(u) = 70*u + 16. Let w be x(m). Suppose -w = i - 5*i. What are the prime factors of i?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 547*x - 296. Let z(h) = 273*h - 146. Let c(b) = 2*d(b) - 5*z(b). What is the derivative of c(s) wrt s?\nAnswer: -271","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n**2 - n - 1. Let l be p(-1). Calculate the highest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 2)*(-6*a + 29 - 29)*(0 - 2 + 1).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -265 - -160. Let j be 4963\/k - (-2)\/3. Let q = -47 - j. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*p + 3*p + 1071 = 0, 3*g + 2*p - 1616 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.6 - -260358.8733.\nAnswer: 260375.4733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3\/107, -3, 2?\nAnswer: 3\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(16\/(-20))*44\/(-50)*-5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202382.8379 - -10.\nAnswer: -202372.8379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/(-4))\/(5\/330*55))\/((-84)\/(-280)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 24 - 7)*(24 + 141*f - 24).\nAnswer: 2820*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6757 + -6756. Let w = 0.15 - 0.05. Which is the closest to -18? (a) w (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqq when three letters picked without replacement from {q: 10, e: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6006)\/21*140\/770\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 + -11 - (-1)\/1. Solve -1 = 3*w + g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2*w + 5*w - w - 2*w + (-3 + 3 + 2)*(4 - 4 - 2*w) + 0*w + w + w + (1 + 1 + 0)*(-w + 3*w - 3*w) + 9324 - 9324 + 4202*w as p*w + t and give p.\nAnswer: 4198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2522373 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*h = -51637, 25*p - 17231 = 24*p - h. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*a - q, -4*q + 8 = -8. Let t be (-3)\/a*4\/(-6)*-1. Is 1\/((-180)\/(-177) + t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38540.16025 rounded to the nearest ten?\nAnswer: 38540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.38739s in hours?\nAnswer: 0.019274275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -553 + -13?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/20 and 13\/44344.\nAnswer: 221720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231502 (base 8) in base 12?\nAnswer: -145282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595 and 43181705.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 79?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f**3\/7 - 20368*f**2\/7 - 1165998*f\/7 - 216920 = 0.\nAnswer: -55, -4\/3, 3451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 78033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (230\/1288)\/((-261)\/(-8526))?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 15643 + 4335 = 0. What is the second derivative of i*p**2 - 514*p**2 + 33*p - 26*p**3 - 2 wrt p?\nAnswer: -156*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2 + 0*l)*(-1 - 8 + 4)*(5 - 3 - 3)*(229 - 139*l - 229).\nAnswer: -695*l**2 + 1390*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5103 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 414355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (2 + sqrt(1300))**2 - sqrt(65)\/(sqrt(30)\/sqrt(6)).\nAnswer: 40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfff when four letters picked without replacement from fyyyfyftffyfyfyfyyff?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2)*(6 + -4). Suppose 0*h = -w*h + 20. Let i(b) = b**3 - 4*b. Let m be i(h). Calculate the greatest common divisor of m and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.2 - -7.56. Let q = p - 0.87. Round q to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let o be (-12)\/(p*3) + 0. Let n be (-5)\/((-10)\/o) + 0. Solve -n*m + 3 = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*c**2 - 2)*(-11 - 2 - 15)*(4 - 1 - 1).\nAnswer: -112*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**5 - 37317295*m**4 - 2*m**3 - 56786*m**2 + 748.\nAnswer: -60*m**2 - 895615080*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 15) in base 14?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47707123 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5584688.\nAnswer: -1\/2792344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16 + 3)*-1 + 1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242156 take away 13?\nAnswer: 1242143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 8153 and -4\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -3\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12949.567078 and 302?\nAnswer: 12647.567078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 458700 a multiple of 556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(52))\/sqrt(4) + sqrt(13) - sqrt(13)) + -3)**2 + 1*sqrt(1300) + 1 + 5.\nAnswer: 4*sqrt(13) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3013956 divided by 68499\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 5. Let r(p) = p**3 - 7*p**2 + 3*p + 5. Let b(k) = r(k) - 2*x(k). Calculate b(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:26 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896 + 28 = 7*m. Let l = 129 + m. What is the second derivative of 25*g**2 + 2*g - 8*g + l*g**2 - g**2 wrt g?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*a - 213, 3*a + 2*c - c = 127. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:59 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**3 + 9*l**2 - 2. Let i(u) be the first derivative of 4*u**4 - 46*u**3\/3 + 10*u - 10995. Calculate -2*i(o) - 11*p(o).\nAnswer: o**3 - 7*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 g, and 1 o when three letters picked without replacement from ooqggqqqqxqqoqxq?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -22, 0.1, 49\/3?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/590 and -101\/11818644.\nAnswer: 59093220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -928 divided by -16?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229 a factor of 9931037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -229 divided by 831\nAnswer: -229\/831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 178920*a + 178922.\nAnswer: -2*(a - 89461)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2337 and 2091.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4804*j + 179694 = -630*j + 79*j + 5730*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10447*s**4 + 0 + 2*s**3 - 10446*s**4 + 3*s - 3 in the form c*s**2 + d*s**4 + i*s + y*s**3 + q and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -91*h + 1. Let o be i(0). Which is smaller: 2\/2203 or o?\nAnswer: 2\/2203","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -e4e1ad?\nAnswer: e4e1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -38\/9 (b) 2 (c) 21410 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132743393 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*r - 5, -4*w = -7*w + 15. Which is the second smallest value? (a) r (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -11, -2, 7, 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 - -0.78. Let l = -1 + r. Let i = -3.04 + 0.04. What is the closest to -0.1 in 0.4, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49309*x**3 - 49309*x**3 - 950*x**2 + 1144*x**5 wrt x.\nAnswer: 68640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 16 = 3*q. Let b(s) = -s**2 + 6*s - 2. Let l be b(q). Solve l*r + 5 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-5)\/10*0\/(-3). Let r(j) be the first derivative of 13*j**2 + 14 - 9\/5*j**5 + 0*j**4 + n*j**3 + 0*j. Find the second derivative of r(g) wrt g.\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let c(f) = -7710*f**2. Determine s(c(d)).\nAnswer: -7710*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5 = n - 3*m, 4*n - 9 = m. Suppose -4*x + 48 = -5*p + n*p, 3*x - 3*p - 36 = 0. Let y = 19 + 15. What is the remainder when y is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93142.14 millilitres to litres.\nAnswer: 93.14214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g - 3*g - 45 - 7*g + 6*g.\nAnswer: 2*g - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 4*y**2 - y - 5. What are the prime factors of g(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 7 = 4*v + g, 3*v - 4*g = 10. Let t(i) = 2*i**2 + i**3 + 5 + 0 + 0 + 5 - v. Determine t(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108 + 110. What is the third derivative of q**4 + 7*q**4 + 23*q**3 - f*q**3 - 30*q**2 - q**4 - 8*q**4 wrt q?\nAnswer: -24*q + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -352 - -352.00000484. What is u rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -45, -83, -117, -135, -125?\n\"Answer: 2*p**3 - 16*p**2 + 4*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 68, 126, 200, 290?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -189*a**2 + 212*a - 168*a**2 + 356*a**2 in the form s*a**2 + x + m*a and give m.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*l - k = 129*l + 18, l - 5*k = 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -7. Let x = -414 - -518. What is the greatest common divisor of x and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/60 + x**5\/30 + x**2. Factor m(r).\nAnswer: -2*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 10. Suppose -14 = -i*y + 10. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*j + j = -94*j - 8073 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -14. Let d = z + 5. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.359492951 to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109475759 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 12*w + w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1139, -0.1, -13, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 8, 3029 in decreasing order.\nAnswer: 3029, 15, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.69383 to 0 dps.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/7 or 435\/86176?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5 + 4*q**4 - 12*q**3 - 20*q**2 - 8*q.\nAnswer: 4*q*(q - 2)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -29. What is the third smallest value in -4, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1127)\/(-7728)*(3160\/(-224) - -14).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 11*n**2 - 10*n. Let c be l(-10). Suppose 0 = h - 4, c = -2*x - 0*h - h + 6. Suppose -g = -11 + x. Solve 4*t - g = 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26719478.\nAnswer: 2, 17, 719, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6 + 3. What is the smallest common multiple of (j\/2)\/(4\/16) and 7*((-66)\/(-21))\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 3*n - n)*(0 - n**2 + 0 + (n - 3*n - 3*n)*(0*n + 3*n - 4*n) - 2*n**2 + 3*n**2 - 3*n**2)*(5 - 3 - 1).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 22. Solve -z*o + 25 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3895116 and -72?\nAnswer: 3895188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9894 - 29680\/3. Let 0 + 0*l**2 - n*l**5 - 8\/3*l**3 - 8\/3*l**4 + 0*l = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-700) - 2136\/300?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -102101 (base 4) to base 2\nAnswer: -10010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2\/(-6)*0. Suppose 3*o - 144 = -q*o. Suppose n + 3*n = o. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -22 + 10. Let f = a - -7. Solve b + 2*h = -1, -3 - 21 = -3*b + f*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -25. Let u = 1 - -3. Solve 5*g - s = -u*s - o, g - 5*s - 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -831 - -400. Let h = -432 - i. What is the nearest to h in 1\/4, -18, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 11*o + 16. Let h be c(12). Suppose -h*s = 5*v + 20, -v + 9 = -3*s - 6. Let i be ((-14)\/(-70))\/(8\/s). Put 3\/2, i, 1\/4 in increasing order.\nAnswer: i, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m - 4*l = -26*m + 10, 3*l = 4*m - 24. What is the third derivative of 255*b**m - 23754 - 147*b**2 + 23754 wrt b?\nAnswer: 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 146*z - 143. Let p be i(1). Suppose q - 2*w = 5, 4*q - 55 = -0*w + w. Calculate the highest common factor of p and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Suppose 4*g + 99 = 5*y - k*y, y + 2*g = 31. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-60))\/((-20)\/(-18)*296\/68080).\nAnswer: -69\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(1978\/(-60845)))\/(2\/(-4)*-157) + -9\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -11 (c) 147\/8 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1280727*w - 1280824*w - 8245 = 0 for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 12*v**2 - 2*v - 14. Let j be f(-6). Let o be (20\/70)\/(4\/7). What is the closest to j in -3\/5, -5, o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -2*o**3\/3 - 17. Let f(v) be the first derivative of -3*v**2 - 3. Calculate f(z(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 9*k + 51*k - 20*k.\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {n: 1, f: 12, d: 5}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(77)*-1 - -1*sqrt(77)*3)\/((sqrt(77)*-1*-2)\/(2*sqrt(28)\/sqrt(4))).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 12) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -1\/2 (b) 3 (c) -16\/3 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 19 (c) -11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 66*t**2 + 2*t - 72. What is the units digit of f(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6589*v + 161. Does 75 divide g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 11 - 23)*(-5 + 2 - 1)*(-2*v - 3*v + 4*v)*(2 + v - 2).\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -198 - -200. Suppose 3*s - 512 - 423 = -d*p, s = -p + 310. Is 35 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + 0*n**2 + n - n.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i. Let m be ((-19)\/(-76))\/(2\/(-8)). What is t(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 13\/4*z**2 - 3\/2*z + 5\/4*z**3.\nAnswer: z*(z - 3)*(5*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*d**3 - 17*d**3 - 3*d**3)*(2*d - 4*d + 1 - 2*d) as m + f*d**2 + s*d**4 + g*d**3 + z*d and give s.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*r**2 + 59*r + 10141?\nAnswer: -60*r + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 508.7 and 0.075?\nAnswer: 38.1525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.1 (b) 2\/13 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -846*w = -732*w - 570 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130166 = -3359*t + 147909 + 170361 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0532 + -6388.8.\nAnswer: -6388.8532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -45.\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(1\/4). Let d = o + 14. Calculate the highest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 7*a**6\/30 + 3*a**5\/5 + a**4\/3 + 12*a**2. Factor y(q).\nAnswer: 4*q*(q + 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 525 - -3180. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4356 - 1179.6. What is f rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -12 - (22 - 48)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 10827216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (113\/(-226))\/(7\/(-156388)) - 3\/(-7) is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -946.92159.\nAnswer: -3787.68636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 285 and -330.5.\nAnswer: -45.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*m**2 + 135*m**2 + 47*m**3.\nAnswer: 47*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -9. Let h = 1.49 + -1.555. Let b = h + 0.115. What is the second biggest value in p, -1\/5, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -6. Let a be (-39)\/(-9) + (-4)\/(-6). Find the second derivative of -a*j**d - 4*j**4 + j**4 - 2*j wrt j.\nAnswer: -96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 5)*(-16 - 16 + 38*t + 28).\nAnswer: -38*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 38. Let a be k(7). Suppose 0 = a*n - 11*n + 18. Sort -17, n, -1, 5 in ascending order.\nAnswer: -17, n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 5:35 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278705?\nAnswer: 3, 5, 85247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80\/(-8)*2\/(-4). Sort -1, -8, q, -3 in descending order.\nAnswer: q, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 take away -1.817608439?\nAnswer: -351.182391561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-4))\/((-2)\/(-4)). Solve -4 = -g*v - 5*y + 6, 0 = 5*v - 5*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -298.03 + 285. Let b = -0.03 - j. What is the closest to -2 in 2\/5, b, 1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(1\/(((-14)\/(-77))\/(12\/(-33)))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-36) + 1\/6. Let z(s) be the first derivative of -3 - 2\/3*s**3 - s**2 + s + t*s**4. Calculate z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 30. Suppose -2*s = -20 - g. Suppose -5*t - 4*v = -7*v + 5012, 0 = 4*v - s. Round t to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -1) + (-86 - -90) - -11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j = -26*j + 84. Sort 38, 4, j in decreasing order.\nAnswer: 38, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -37, -15, -1\/3, 6\/7?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqyi when four letters picked without replacement from {i: 1, n: 1, q: 3, b: 2, y: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 1031*f**3 + 4*f - 16*f + 35*f**2 - 1028*f**3 = 0.\nAnswer: -12, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23 and 17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -165 - -2?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 9010\/18 - (-20)\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -128*u**2 + 60*u**2 + 56*u**2 + 0*u + 0*u. Let f(b) = -2*b**2. Determine i(f(w)).\nAnswer: -48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*h - 126 = 147*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -35667350?\nAnswer: 35667352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20524 is divided by 174.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167 + 4*m - 3*m - 6*m - 167.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 5. Let m(t) = 1. Let n(o) = 4*c(o) + 18*m(o). Let z(a) = 9*a + 3. Determine -6*n(u) - 5*z(u).\nAnswer: 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63801193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:39 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 106b - -a158?\nAnswer: b1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 + -0.8. Let g = 176.1 - 176.4. Which is the smallest value? (a) k (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2164, 2180, 2208, 2248, 2300, 2364?\n\"Answer: 6*q**2 - 2*q + 2160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45786 + -20421. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 - 8*h + 5. Let m(j) = j**2 - j. Let l(s) = 2*m(s) - w(s). Let z be l(6). Let q = -31 - z. What is the least common multiple of q and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + z - 1. Suppose -3*n = -4*t - 6 - 13, -n + 5 = 0. Let o(d) = -2*d**2 + 6*d - 6. What is t*o(r) + 6*q(r)?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4*n = 45 - 29, -4 = 5*i - 2*n. Sort 0, -89, i, 5 in descending order.\nAnswer: 5, i, 0, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3))**(1\/56)\/(((u**(-13)*u)\/u*u)\/u*(u\/(u\/(u**(-5\/8)\/u)))\/u) assuming u is positive.\nAnswer: u**(879\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -211220332 (base 4) to base 2\nAnswer: -100101101000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 25. Suppose -2*j - 3*p - 2*p + 9 = 0, -4*j + p = -v. Let g = 27 + j. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 + 7*v - 4. Let o be k(-7). What is the remainder when 77 is divided by (-13)\/((o\/8)\/(2\/4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*v + 312, 3*v + 5*q - 291 = 3*q. Find the second derivative of 138*j**2 - v*j + 29*j - 115*j**2 wrt j.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036915484 rounded to six decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) -0.3 (c) 0.189 (d) -100 (e) -20 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -h + 3*h. Let a be 3993\/h*(-2 - -4). Suppose -4*s - 3*u = -a, -5*s + 0*u = -u - 449. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-14)*t**0*t**(-1\/41)\/t**(-9) assuming t is positive.\nAnswer: t**(-206\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228670 and 260.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 990, 1882, 2556, 2898, 2794, 2130?\n\"Answer: -19*g**3 + 5*g**2 + 1010*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n - 3*q - 48, -3*n + 72 = 5*q. Suppose -n*p = -259 - 102. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 26*b**2 + 50*b - 2. Determine t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -0.4, 15, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 2*p - 5*p)*(-259*p**3 + 31984 - 31984) + p**4 - p**4 + 2*p**4.\nAnswer: 520*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -2447878 and -7343632\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -2*o - 8, 2*o = -0*o - 5*a + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**5\/30 + 8*l**3\/3 + 18*l**2 - 3*l. Let x(t) = -2*t - 35. Determine a(x(i)).\nAnswer: -8*i**2 - 280*i - 2434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 11:56 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = 3*v - 57, z + 69 = 4*v. Let f = v - 1. Let t(g) = 16*g**2 + g + 1. Let y be t(-1). Is f less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-23 - (-2 - 2)). Let q be (2\/15)\/(4\/y). Which is the second smallest value? (a) -0.01 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180974.\nAnswer: 2, 41, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12033 is divided by 3002?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**5\/90 - o**4\/4 + 2*o**2 - 38. Factor n(a).\nAnswer: -2*a*(a + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8298773106099 + 3.\nAnswer: 8298773106102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199 + 352. Suppose -4*s + a = -3*k, 4*k = -12*s + 8*s + 160. Calculate the greatest common factor of s and 975.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**3 - 412*q**2 - 64*q + 289. What is g(59)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7900879?\nAnswer: 7, 1128697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2672299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(7\/2))\/(1224\/(-156) + 8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20344 - 1?\nAnswer: -20345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**2*n + 2*c**2 - 1255752*c - 230219140*n - 132 wrt n?\nAnswer: -2*c**2 - 230219140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/4*44\/(-15)*6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39911 - 39871. What is the least common multiple of j and -20*(0 - 30\/4)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141023300.\nAnswer: 2, 5, 11, 128203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37b7 + 9?\nAnswer: 37c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111024 + 3034?\nAnswer: -102440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 27*f**3 - 4*f**3 + 32*f**3 - 1 + f as k*f**3 + h + g*f**2 + q*f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19978 + (-5 - 5) + (2 - 0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03944 rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3182 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*q - 4 + q**4 - 29*q**3 - 2 + 1 - 2*q to the form j*q**3 + o*q**4 + c*q + l*q**2 + x and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2907 - 2907. Let u(h) be the third derivative of 14*h**2 - 1\/24*h**4 - 1\/60*h**5 + h**3 + i + 0*h. Give u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 4*a. Let z(c) be the first derivative of c**7\/840 - c**5\/40 + c**3 - 7. Let p(l) be the third derivative of z(l). Calculate 3*p(j) - 2*y(j).\nAnswer: -j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 633, 966, 1321, 1704?\nAnswer: 2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 4*d - 8. Let n be o(6). Let h be 2 + 1 - (2 - n). What is the second derivative of 0*u + 0*u + h*u**2 - 3*u wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 1325 + 637 = -643. Let w(p) = -26*p - 11. Let o(l) = 5*l + 2. Let t(g) = 11*o(g) + 2*w(g). Let c(b) = -3*b. What is h*c(x) - 4*t(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*i = 18 - 237 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/6))**(-34))**(-3\/16)*(b**(1\/2)*b)\/b**(2\/7)*(b*(b\/b**(2\/7))\/b)\/b**(-6\/11) assuming b is positive.\nAnswer: b**(9593\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110457?\nAnswer: 3, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:31 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27540, 110830, 249866, 444648?\nAnswer: 695176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -1130*g**2 - 934*g + 1235. Differentiate x(d) with respect to d.\nAnswer: -2260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1 (c) -7\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1424162772814.999998 - 1424167509828. Let s = 4737007 + u. Let w = s + 6. What is w rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 670 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4\/5 + 102*c**3\/5 - 816*c**2 - 8454*c\/5 - 855 = 0.\nAnswer: -57, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 0. Let p = -15 + l. Sort -1, p, -3 in descending order.\nAnswer: -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7330 is divided by 118.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223.391 + -257.33. Let t = g - 0.061. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 11. Suppose 3*n + 56 = 4*m + 7*n, -3*n = 2*m - 33. Let j = -1082 - -1082.3. Which is the smallest value? (a) j (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/1 + 23320\/424?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**2 - 2*v**2)*(6*v**2 - 2 + 2).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, r: 5}. Give prob of sequence irrr.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 2*i**2 + i - 2. Suppose 4*u + 4 = 3*u. Let x = u - -18. What is the remainder when x is divided by r(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**7)\/k)\/k*k\/(k**(-2\/13)*k))\/(((k\/k**(-1\/4))\/k)\/(k**2*k)))**(-23) assuming k is positive.\nAnswer: k**(6095\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238379?\nAnswer: 127, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = -7*i - 403 + 295 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1445*w + 66498. Give o(46).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 3\/7*i**3 + 1\/7*i**2 + 2*i + 5\/14*i**4 - 5\/14*i**5 + 2. Let j(a) be the first derivative of z(a). Factor j(b).\nAnswer: -2*(b - 1)*(5*b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7315 to 2 dps.\nAnswer: 1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)*(l**(4\/21)\/l)\/l)**(5\/7) assuming l is positive.\nAnswer: l**(-253\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114.5 + 205. Let h = -91 + d. Sort 2\/13, -2\/3, h, -4 in descending order.\nAnswer: 2\/13, h, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15970 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from jjsjjpmjjssjjsjjspmj?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 9:26 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3841\/5 or -768?\nAnswer: -768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21655 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 219*x + 12*x**2 + 227*x + 227*x - 6 - 666*x. Let i(d) = -35*d**2 - 20*d + 17. Determine 6*i(v) + 17*q(v).\nAnswer: -6*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4\/(-18) - (38 - (-133875)\/(-1377))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108691 + 108691 + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 578\/204 + -3 + (-16)\/(-6). Factor 0*x**2 + 2*x**5 + 1\/2*x**3 - b*x**4 + 0 + 0*x.\nAnswer: x**3*(x - 1)*(4*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 442, 2613, 6232, 11299, 17814, 25777, 35188?\n\"Answer: 724*s**2 - s - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-14))\/(2\/4). Let g = d - -8. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.2. Let z = -20 + 18.44. Let u = -1.5 - z. Which is the closest to j? (a) u (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -37. Let u be 30\/g - (-3)\/(-42)*4. Suppose 40 = 3*b - u*q, 1 = q - 4. Solve -o + 6*o - b = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f - 4*t + 12 = 0, -2*t - 106 = -3*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {d: 4, b: 3, r: 1, t: 7, p: 3}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = 2*m - 87907. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*29.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*z = 4*w - 18, 0 = 3*z + 5*w - 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2150? (a) 4\/7 (b) -1\/2 (c) 1.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 129*m + 12*m = 348 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11260 or -22519\/2?\nAnswer: -11260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, j: 4, m: 5, f: 5, r: 1}. Give prob of sequence fmmf.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15516187693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3313067\/77 - -43028. Let n be (-222)\/(-154) + (-4)\/(-14). Let t = n - k. Which is the third smallest value? (a) 0 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 7*d**2 - 7*d + 4. Suppose 2*a + 44 = 5*a + 4*w, 4*w = 3*a - 4. Calculate the smallest common multiple of z(a) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70326*f**2 + 35161*f**2 + 35166*f**2 + 4 - 3*f**3 + 7*f in the form x + v*f + a*f**2 + b*f**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(-2*sqrt(6)))\/(sqrt(132)\/(2*sqrt(12))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20733 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - -3*sqrt(110)*-2)*2)\/(sqrt(160) - sqrt(160)*-2 - (sqrt(90) - (sqrt(90)*-2 + sqrt(90)))\/sqrt(9)))**2*-5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(192) - sqrt(3)) + -4).\nAnswer: -42*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 1612?\nAnswer: -160c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-1)*(-1)\/(-3). Let x be (18\/(-15))\/(4\/(-10)). Suppose -4*a + 3*a = -x. Solve 0 = 2*p - a*p + 3*b + 6, -c*p - b - 2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17b (base 14) to base 15.\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 2*d**2 + 2*d - 2. Let t(l) = -4*l**2 - 24*l + 1. Let k be t(-6). Give y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 5) to base 9.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*c - 17*c + 35*c - 470 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -19. Suppose 85 = u + g. What is the second derivative of 10*z**4 + u*z**2 - 69*z**2 - 7*z wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 6*i + 6. Calculate d(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*q - 10 = -4*c, 0 = 3*q + 3*c + 15. Sort 2\/7, -3\/5, q in descending order.\nAnswer: 2\/7, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10640 and 1960?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -967, -6, 1\/2, 2\/7 in descending order.\nAnswer: 1\/2, 2\/7, -6, -967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2552, 2462, 2264, 1904, 1328?\n\"Answer: -9*x**3 - 27*x + 2588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41288 and 1730920.\nAnswer: 3176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2.17, -4, 3, 32 in descending order.\nAnswer: 32, 3, -2.17, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 11*k**2 - 10*k - 23. Let g be m(12). Let q be (12\/9)\/(-2*g\/(-6)). Suppose 3*l - 77 = -q*r + 2*l, -2*r - 3*l + 51 = 0. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/60 - 35*i**4\/24 - 11*i**3\/3 - 5*i**2 - 3. Let o be s(-35). Which is smaller: -2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8989 + 89977\/10. Let i be -22 - -13 - (-3 + 1 + -2). Find the common denominator of 264\/(-64)*i\/(-15) + -3 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 692 and 3473494?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-14))\/((-3)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 2*y**4 - y**2 + (-3*y**4 + y**4 + 4*y**4)*(4 + 4 - 3) + 14*y**4 + 7*y**3 - 7*y**3)*(0 + 3 + 0).\nAnswer: 66*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 7:40 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.35 - -1.55. Let x = 9.8 + m. Let n = 0 + -3. Which is the closest to x? (a) 2 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2\/(j**(-5)\/j))\/(j**(-5)*j**(-1\/8)))\/((j\/(j\/((j**(-1\/2)\/j)\/j))*j*j)**(-44)\/(j**1)**(18\/11)) assuming j is positive.\nAnswer: j**(-637\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3*155\/(-2170)*15\/3.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 8*q - 4. Calculate w(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24972*f**3 - 331011*f**2?\nAnswer: 149832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-9) - 1\/3. What is the remainder when 21\/(-2)*(c + -4) is divided by (-4)\/10 - (-57)\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 3*h + 9. Let s be (13\/(65\/(-56)))\/(4\/(-10)). Let o be (s\/6 - 3)\/(20\/72). Solve -3*f + 35 = 4*n, o*n = h*n - 5*f + 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.227?\nAnswer: -0.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105767683.4 + -105767693.92001222. Let t = -10.52 - a. What is t rounded to 7 decimal places?\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -7*y**5\/20 + 5*y**4\/6 - 8*y. What is the third derivative of o(x) wrt x?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**6\/120 + 7*g**5\/60 - g**4\/3 + g**3 - g**2. Let n(k) = 3*k + 6. Let p = -45 + 45. Let y be n(p). What is j(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300744 divided by 50124?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2)\/w)*w)\/(w*w*((w\/w**7)\/w)\/w)*(w**0)**(-41))**(-4\/17) assuming w is positive.\nAnswer: w**(-44\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**3 + 40*f**3 - 13050*f + 13050*f + 12*f**2 in the form s*f**2 + u + k*f + q*f**3 and give q.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c + 2. Let i(b) = 4*b + 1. Let a(h) = -5*d(h) + 10*i(h). Let m(k) = 9*k. What is 5*a(y) - 6*m(y)?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*n + 984 + 372 = 0, -2*p = -5*n - 1361. Suppose -2*x + p = -0*x. Suppose -3*y - 6 = 0, -75 + x = 3*r + 4*y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9639914nm to centimeters.\nAnswer: 0.00000009639914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 10) to base 6\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 900557383 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. What is the second derivative of 12*f - 17*f - 10*f - 6*f + f**d wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-209) + (-720)\/(-1064) + -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*n + 24, 1173*n - 1169*n - 3 = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/5))\/g)\/g)**45 assuming g is positive.\nAnswer: g**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62\/17 in -4, -30, 8\/17, -1\/5, -3?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkzk. Give prob of sequence kkk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 - 4*d**4 + d**4 + (d**3 + 5*d**3 - 3*d**3)*(-5*d + d + 5*d)*(1 - 3 + 4).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2564.79 rounded to the nearest ten?\nAnswer: -2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k**2 + 964*k + 320.\nAnswer: 4*(k + 80)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115798?\nAnswer: 2, 57899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39082547 and -0.2.\nAnswer: 7816509.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 4:18 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 1460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28*20\/210*(-6)\/(-4). Suppose -w*f - 3*f = -672. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 0.05. Let i = -9 + 10. Let g be (-102)\/(-30) - (i - -2). Which is the smallest value? (a) g (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39840 + -7417. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 116, 172, 228?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54.7381 + -17.3649. Let k = 72 + m. What is k rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.306 + -0.5612. Round d to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l. Let v(o) = o**2 + 3. Let x(z) = -40*z**2 + 3. Let w(y) = v(y) - x(y). Determine p(w(b)).\nAnswer: 246*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 3*l**3 + l**3 - 2 + (-2*l**2 + 2*l**2 + 3*l**2)*(-4 + 4 - 4*l).\nAnswer: -11*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 3 = 58 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = -5*t - 0, -3 = 5*t - d. Suppose t = -4*w + 3*w + 9. Solve s - 4 = 3*g, 0*s + 5*s - 4*g = w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(11)*2) + 3 + (-5 + -1 + sqrt(19) + -1)**2.\nAnswer: -27*sqrt(19)\/2 + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 = 3*n, -5*f - 1 = 5*n + 4. Let j be 2\/2 - n*1. Suppose 4*a = 2 + 2. What is the highest common divisor of a and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 8, -0.1635, -4 in descending order.\nAnswer: 8, -0.1635, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 539, 501, 463?\n\"Answer: -38*v + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/((-1*sqrt(132))\/sqrt(12)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29325 and 5175.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2834 is divided by 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 4*t**2 - 10*t - 3. Let c(b) = -7*b + 8. Let i(l) = 5*c(l) + 4*w(l). Let z(p) = -2*p + 1. What is -3*i(o) + 4*z(o)?\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161328 - 439412 = 2926*p + 3204*p for p.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 o when three letters picked without replacement from hwwffohfhhf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 1472*k - 8904.\nAnswer: 2*(k - 742)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-14)*17374\/89352\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.032497 centuries?\nAnswer: 0.32497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 - 5*q - 23 + 155*q**2 + 109 to z + f*q + w*q**2 and give w.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 + y - 2. Let q(u) = -u**2 - 8*u - 5. Let w be q(-7). Let r be t(w). Solve 3*g = r - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*b - 4241, 9*b - 6*b - 3217 = 5*k. Calculate the smallest common multiple of b and 1064.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w - 2*w + 0*w)*(2*w + 3 - 3) + 0*w**2 - w**2 + 2*w**2 - 5*w**2 + 2*w**2 + 4*w**2 + (3 - 2 - 3)*(w**2 + 0*w**2 + 0*w**2))*(8 - 3 - 3)*(-2*w - w + w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -9. Let r(u) = -u**2 - 9*u - 3. Let j be r(o). Suppose h - j*h = -124. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 6*m**3 + 8 + 13 + 4*m**3.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5 + 1670*v**4 + 221360*v**3 + 436000*v**2 = 0. What is v?\nAnswer: -100, -2, 0, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 13*z**3 - 9*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**4 - 221645*h**2 + 34*h - 2700399 wrt h?\nAnswer: -4*h**3 - 443290*h + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9248 - -0.124?\nAnswer: 1.0488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/207 and ((-45)\/162*(-20)\/35)\/((-92)\/33)?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - s = 2*s + 23, 3*q + s = 11. Let r = -6.5 + 8.5. Which is the nearest to 0? (a) r (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 14*l - 22*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582\/34 - 247\/(424099\/606)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*j - 20. Find the common denominator of 4683\/(-252) - (-1 + -6) and j\/(-15)*9\/(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/976 and -109\/40.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -2, -4 in descending order.\nAnswer: 45, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3942, -4\/3, -0.02, 4\/3, -41 in descending order.\nAnswer: 4\/3, 0.3942, -0.02, -4\/3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h - 2*h - 2*h - 7 - 2*h. Let g be l(-6). Suppose 2*i + i - 4*a = -20099992, -33499992 = g*i - 4*a. Round i to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (1 - -2))\/((-19)\/38). Suppose j - b*j = -9. Solve 0*v = -v - j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 5)\/(4\/14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**9\/168 - p**5\/10 - p**2. Find the third derivative of b(u) wrt u.\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -11. Let y be (u\/(-12))\/(4\/(-282)). Let p = y + -421\/9. Are 0 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3512557\/81 + -43364. What is the common denominator of l and 59\/15?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-1)\/(9\/282). What are the prime factors of (-7)\/21*(1 + f)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -62, -67, -62, -41, 2, 73, 178?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2)*(-38*m**4 + 94*m - 94*m).\nAnswer: 152*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 73 = a, 4*n - 24 + 44 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 323456 and 304?\nAnswer: 323456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042843807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -164 (base 10) to base 9\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/508 and -67\/38.\nAnswer: 9652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 873850 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-11*n + 0*n + 3*n).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/(-48)*1\/2*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)\/w**(-7\/4))\/(w*w**(-4\/5))**36 assuming w is positive.\nAnswer: w**(-269\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 707, 1566, 2445, 3350, 4287, 5262, 6281?\n\"Answer: i**3 + 4*i**2 + 840*i - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1800, 3502, 5188, 6852, 8488, 10090, 11652?\nAnswer: 13168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 25*y - b - 319, -177 = -3*y - 3*b. Let m = y - 52. Let i(r) = 2*r + 29. Calculate the remainder when m is divided by i(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*o - 29*o - 43*o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p + 3. Let r(i) = 3*i - 24. Let g(c) be the second derivative of c**3\/3 - 6*c**2 - c. Let t(j) = -7*g(j) + 4*r(j). Let a be t(-5). Calculate z(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*g + 7*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/3 - 8\/(-4). Let f = -5 + 5. Put 0.1, f, w in decreasing order.\nAnswer: w, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 3*u**2 + 20*u - 9. Let g be v(6). Let p be 16\/12*2 + g\/9. Let w(k) = k + 2. Determine w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -7. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004976029153 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 1 + 2. Suppose h*s + 230 = 3*x - s, -4*x + 5*s = -308. What is x rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36137635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -78 (base 14) to base 2\nAnswer: -1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/2 + 240*a**2 + 12375*a\/2 + 43875.\nAnswer: 3*(a + 15)**2*(a + 130)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 9:54 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 35. Let g = -754.680904 - -764.681. Let x = g + t. Round x to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 + 156*x - 1881. Let o be h(19). Factor -4\/5*i - i**2 - 1\/5*i**3 + o.\nAnswer: -i*(i + 1)*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 7 + -14 - 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 7251291*g + 71 = 7251286*g, 0 = 4*j - 2*g + 138 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52564 - -4?\nAnswer: -52560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 38 = -5*s + 7*s, 0 = -9*w + 27 - 117 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*w - 18 = 3*w, 5*w + 32 = 4*y. Solve i + 5*i**2 - 4*i**2 + 0*i**2 - y*i = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, 2\/3, 0.4, -3\/5 in descending order.\nAnswer: 20, 2\/3, 0.4, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Suppose 2*o + 0*o = c. Suppose -41 + 140 = 4*t + 3*l, 4*t + o*l = 98. 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 closest to -1? (a) 1 (b) 39\/2 (c) -0.2 (d) -3\/7 (e) -8 (f) -2\/477\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -40410*y - 80820. Calculate p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22990 and 1215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**5 + 756714*l**2 + 9854776*l?\nAnswer: -60*l**3 + 1513428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(114) - sqrt(114))\/(5*(sqrt(6) + (sqrt(6) - sqrt(384)))).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 88*m + 1. Let a be d(7). Suppose 5*q + 118 = -a. Let n = q - -334. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.2184 - -0.0544. What is r rounded to one decimal place?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -15*c + 3. Let j be n(1). Let y = j - -26. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3589 - -2.566. Round u to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 28815778\nAnswer: -11526311.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-471)\/(-157))\/((-3)\/8*1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**3\/6 - 6*k**2 + k - 3. Let i be m(-17). Solve 5 = 4*z - i*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.031 - -31.869. Round k to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmemvkeevekpempeef. Give prob of picking 3 m.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-1)*(-20)\/(-90). Factor 2*v**2 + 2*v**3 + 2\/3*v**4 + y*v + 0.\nAnswer: 2*v*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95205 = -68*w - 104160 + 1316469. What are the prime factors of w?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 0.2, 0.034.\nAnswer: 0.034, 0.2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 j when three letters picked without replacement from {g: 2, j: 1, d: 1, q: 2, p: 1, e: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + 2*f**3 - 1 - 2*f**3 + (1 - 1 + f**3)*(5*f - 5*f + 4*f).\nAnswer: 5*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1245 and 10270420.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = g + 246, -a + 3*g - 2*g + 63 = 0. Let b(v) = -6*v**2 - a*v + 61*v. Let i(n) = -4*n**2. What is i(b(t))?\nAnswer: -144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 4:39 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4389.431 millilitres to litres.\nAnswer: 4.389431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2031310 bigger than 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 62*m + 24 - 15 = 0, -5*x = m - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 * 0.10550978.\nAnswer: 10.44546822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -15) + (1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**10\/2520 - s**6\/90 + 4*s**3\/3 + 4. Let d(q) be the third derivative of n(q). Find the third derivative of d(r) wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + 0)*(54\/(-6) - -10). Suppose -2*w = -b*w + 100. Solve p - 5*p = w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11552 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24111 = -450*i - 1492*i + 19170 + 5269 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/221 and -83\/305490.\nAnswer: 3971370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -4.6. Let x = f + 0.4. Let c = 19 - 14. What is the nearest to 0.1 in x, -4\/7, c?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**2 + 2*v. Let y(c) = 0*c + 3*c**2 + c - 5*c**2. Let s(o) = -4*h(o) + 11*y(o). Let i(b) = -3*b + 7*b + 5*b**2 + 3*b. What is 3*i(f) - 7*s(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 7*s - 5. Let t be p(-6). Let h be (t - -11)\/2 - 2. Suppose h*v - 25 - 15 = 0. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 0.051?\nAnswer: 0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - 2\/(-8). Let y be ((-7)\/(-2) - 3)*r. Let a = y - -3. Solve -c + 2*l = 6*l - 9, -a*l + 6 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p + 297. Determine r(-31).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 37051 (base 8) to base 16\nAnswer: 3e29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/388421 and -59\/105933.\nAnswer: 1165263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 + 20. What are the prime factors of a?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let t(b) = -4166936*b. Calculate l(t(q)).\nAnswer: -8333872*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -30. Suppose -2*w + 18 = -2*b, 2*w + 1 + 1 = -v*b. What is the lowest common multiple of w and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -64*f**2 - 8*f + 5. Let p(d) = 4*d. What is -2*p(z) - s(z)?\nAnswer: 64*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 1388*z**3 + z**2 - 1392*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-15)*5\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 + 13*g + 66. What is i(-6)?\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.36646926905 and -0.5?\nAnswer: 0.86646926905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x - k - 7 = 0, -5*x + 45 = 5*k. Suppose x*f + 10 = -f + 5*a, -a + 17 = 4*f. Let u(p) = -p**2 + 3*p - 1. Calculate u(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -8. Which is greater: 23 or c?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -6*z**7 + 13*z**3 + z - 42. Find the third derivative of f(a) wrt a.\nAnswer: -5040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*i + 20*l, 35 = 5*i + 4*l - 76 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 11. Let v = 32 - 30. Which is the third biggest value? (a) 2\/5 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/11 - 4*r**4\/11 + 8*r**3\/11 + 16*r**2\/11 = 0. What is r?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71071?\nAnswer: 7, 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10*m - 14. Let t be 8 + ((-21)\/12 - (-1)\/(-4)). Let g be 1\/(t\/4*(-2)\/9). Calculate the remainder when 55 is divided by w(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*j - 49078 = 293*j - 350*j - 273*j for j.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44.309 + -12.745. Let s = a - -57. What is s rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91155792 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 31 - 53 = -m + 7*h, 59 = -2*m + 41*h - 1042 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-65*u**2 - 49*u**2 - 1 + 2*u + 165*u**2).\nAnswer: 102*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 1:08 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10549, -20983, -31417, -41851, -52285, -62719?\n\"Answer: -10434*c - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20368 or -16.3?\nAnswer: 20368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 - 100. Does 15 divide (-2704)\/(-24) + s\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10124366 (base 7) to base 4.\nAnswer: -3032231333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - -583. What are the prime factors of v?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/435915 and -91\/150?\nAnswer: 4359150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 192, 391, 590, 789, 988?\n\"Answer: 199*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*b + 1 = -5, -30 = 5*l + 4*b. Let c be (l + -2 - -7) + -7. What is the common denominator of 9\/20 and 2 - 4 - ((-173)\/32 - c)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) - (-14)\/(-4). Let d = 9 + l. Let j(m) = -6*m**2 + 7. Let y(q) = -4*q**2 + 5. Determine d*j(a) - 7*y(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -y + 1146, -56*y = -5*d - 55*y + 2879. Calculate the remainder when d is divided by 52.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1739531492 + -179.1\nAnswer: 1739531312.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 115 + 411*j**3 + 520*j**3 - 167*j**3.\nAnswer: 764*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) -0.03 (c) 61 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * -1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -1a4?\nAnswer: -1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (53 + 15 + 98)*(-r - r + 0*r + 1 - 2*r - 1 + (0 - 3 + 2)*(-2 + 2 + 2*r) + 4 - 4 + r)*(-1 + 1 + r) in the form c + o*r + y*r**2 and give y.\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 28*z - 88. What is x(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -0.14. Let c = 2.9 + -4. Let y = -0.8 - c. Put u, -2\/5, y in increasing order.\nAnswer: -2\/5, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -55\/3236262 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 a when four letters picked without replacement from kaakakaaak?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1800 = -4*g. Suppose -b - b + g = 0. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97856.41 kilometers to centimeters.\nAnswer: 9785641000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -39. Solve 7*u = 3*u + w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -23. Let r = m + -4. Let t(o) = -10*o + 33. Let v be t(3). Solve -r*p + 6 = -v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130282575281 minus -0.202?\nAnswer: -130282575280.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmxmmmxmxmmmm. Give prob of picking 2 m.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -33*k + 7. Let x(z) = 17*z - 4. Determine 4*b(v) + 7*x(v).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/28 + (-11772)\/30520?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6471541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 18*a**2 + 16*a - 26. Let i = 19 + -18. Suppose 0 = 2*z + 33 + i. Let b be w(z). Sort b, -1, -4.\nAnswer: b, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65853\/(-190242))\/((-288)\/(-39))?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/(6*sqrt(9)))\/sqrt(4))\/((4*sqrt(16))\/sqrt(4)*-6).\nAnswer: -sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -42. Let k be s\/10 - 384\/(-20). Solve 3*v = 8 - k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n**(-1\/2)\/n*n))\/n**(1\/5))**(8\/9) assuming n is positive.\nAnswer: n**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 10*r + 23. Let d be a(7). Suppose d*p = 4*b, -p + 6 = 5*b - 8. Find x, given that 0*x**b - 6*x**2 - 2*x**2 + 2*x**3 + 4*x**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3*z**2 - 1903*m**3*z + m**3 - 3046*z**4 wrt z?\nAnswer: 4*m**3 - 36552*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - 19*g**2 + 16*g - 30. Let m be h(12). Round m to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 2. Let n(i) be the third derivative of i**4\/12 - i**3\/6 + 3*i**2 + 13. Suppose -c - 4 + 1 = 0, 5*c = 5*o + 10. Determine o*n(m) - 3*p(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.8 - 11.6. Let v = 6.862 + o. What is v rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 5*t**3 + 2*t**2 + 0 + 10*t**3 + 1. Let g be h(1). What is the greatest common factor of g and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Suppose -7*m = -3*m - 4. Which is the closest to 2\/7? (a) q (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.143 - 1.4.\nAnswer: 20.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-6) - (0 - -1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 5\/4, 0.09, -5\/3, -14\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/90)\/(-13) - ((-1793)\/495 - -3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 14*h + 18. Let o be l(2). Sort 4, 57, o, 0 in descending order.\nAnswer: 57, 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567*h + 536*h - 1042*h - h**2.\nAnswer: -h**2 + 61*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 2*j + 7*j - 40*j + 11*j. Let k(c) be the second derivative of 0*c**3 + 0 + 4*c + 1\/6*c**4 + 0*c**2. Calculate k(y(a)).\nAnswer: 648*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33898, -69436, -106632, -145492, -186022, -228228, -272116?\nAnswer: -317692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = 5. Let q = -1174 + 1175. Let n(y) = -y - 9. Let u be n(-7). Sort q, u, j.\nAnswer: u, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/15*(-5)\/(-3). Which is smaller: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/72 and 17\/36984.\nAnswer: 110952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9678398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**3\/5 + 5988616*x**2 + 11207350498580*x = 0.\nAnswer: -3742885, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/7*((-11)\/(-9))\/(-1). Let k = u + -667\/42. Calculate the common denominator of 2\/(-7) + 123\/210 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 15*w = -4*w + 290, 0 = -3*b - w + 20 - 49 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p + s - 68, -125 = -5*p - 4*s. Suppose -5*y + 129 + 71 = 0. What is the remainder when y is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -11*p**2 - 108*p + 15. Let d be h(-10). Let a be 14\/6*(-7 - -10) - 1. Sort d, a, -4, -6 in decreasing order.\nAnswer: a, -4, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 848\/(-14) + (351\/63 - 6). Which is greater: p or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (964\/(-30) + 4)*6\/(-4). Let t = 42 - o. Which is the second biggest value? (a) 2\/23 (b) 0.9 (c) t (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-13188)\/(-66) - (92\/(-22) + 4) and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 661*l**3 + l**2 + 4109?\nAnswer: 1983*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7395 divided by 1479?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 43 (b) 2\/5 (c) 3 (d) 0.15 (e) -6 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 9794, -4, 4, 114, 0 in decreasing order.\nAnswer: 9794, 114, 4, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/30 - (-13)\/6. Find the second derivative of -4*s - 17*s**3 - 5*s - s + z*s wrt s.\nAnswer: -102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17174.8 + -18128. What is l rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0 + 13\/20*l**5 + 112*l + 17\/12*l**4 + 3\/2*l**3 + 0*l**2. Let g(d) = -3*d**3 - 4*d**2 - 2*d. Give -2*f(p) - 9*g(p).\nAnswer: p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = 3*a - 3, -14 = -3*a + 4*l. Suppose -b - a*b - 12 = 0. Let j be (126\/(-56))\/(2\/(10 - 2)). Sort -1, b, j in decreasing order.\nAnswer: -1, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 136. Is (-14)\/k - (-1469)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25844 + -3547. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from owssnyosessonsssnss?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 159248928 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6*(-6)\/8. Let h = 1 + -5. Let z = -3 + 3. Which is the smallest value? (a) h (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4 = -0. Is (f + 3)\/(6\/87) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*m - 338 = -2*i + 50*m, i + 4*m - 187 = 0. Calculate the greatest common divisor of 270 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 2)*(-2*y + 0*y + 4*y + (-y + 5 - 5)*(-3 - 3 + 3) - 2*y - 3 + 3) in the form q*y + w and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 5616.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 126, 132?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1040 by 4.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/28)\/(6\/42). Factor u*i + 1\/2*i**3 - 4*i**2 + 0 + 3\/2*i**4.\nAnswer: i*(i - 1)*(i + 2)*(3*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 - 4. Let y = -0.43 - -0.83. Let z = -1 + 1. What is the closest to 0 in s, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8*c - 2*v - 27 = 0, 5*v = -c + 26. Solve -c*m + 68 = 6*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 4. Let b be k(-3). Let g = 19 - 13. Let c = g - 2. Put b, 1, c in ascending order.\nAnswer: b, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**7\/420 + 7*x**6\/360 - x**5\/30 - 7*x**4\/12 + 2*x. Let h(u) be the third derivative of i(u). Factor h(c).\nAnswer: -2*(c - 2)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12136, -24244, -36364, -48502, -60664, -72856, -85084?\nAnswer: -97354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o + 30, -43*v - 3*o = -48*v + 16. Solve 2*d + 4*u - 8 = -v*d, 0 = 5*u + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4166228.35 to the nearest one hundred.\nAnswer: -4166200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(13) - (sqrt(832) - (sqrt(832) + -1)))*-3.\nAnswer: -9 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025454542 rounded to 5 dps?\nAnswer: 0.02545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + -8 - (28 + -21 + -22)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 165? (a) -1\/19 (b) 2\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 12*d**2 + 25*d + 57. What is n(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3543*p + 8*p**2 + 10 + 3543*p + 13*p**2 to c*p**2 + m + i*p and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 42. Let f = w - -19. Is (-2 + f)\/((-2)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 8 - 10. Suppose g + c = 2*g - 3*t, 4*t = 2*g - 10. What is the third derivative of 31*f**4 - 7*f**2 + g - 3 - 26*f**4 wrt f?\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 797 - 794. Solve -w - 5 = -2*b + 6, 3*b = -h*w + 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a week in minutes?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -5, 25 in decreasing order.\nAnswer: 25, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 668663000 to the nearest 1000000.\nAnswer: 669000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjmjjpspmwj. Give prob of sequence js.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-1 - (16 + -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/63 - 1\/(-7). Which is the third biggest value? (a) o (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -3678, -12148, -28592, -55668, -96034, -152348?\nAnswer: -227268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*w = -4, -2*q = -w - 14 + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3356)\/11746*35*-3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -30. Let r be (3 - f)\/((-1)\/(-2)) - -1. Suppose r*a = -3*t + 126, -a = 3*a + 3*t - 164. Is a at least as big as 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2030 - -2?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/32596 and 35\/3103.\nAnswer: 3487772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 8*a**2 - 4*a + 1. Suppose -3*y = 3 - 18. Let c be i(y). Let o be (-6)\/9*264\/(-16) - 4. What is the greatest common divisor of o and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.84 - 208.\nAnswer: -175.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16442191442232 - -18.\nAnswer: 17.83557808557768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116958 + 190579. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 1. Let m be i(1). Suppose m = -r + 26 + 13. Let w(x) = -10*x. What is the remainder when r is divided by w(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 0.4, 0.07447, 623?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85191 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8990010 divided by -209070\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 7339 - 2957 = 0. Suppose 4*a = 6*a - z. Suppose -a - 743 = -w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 - 36192*p**3 + 327392824*p**2 + 1310005632*p + 1310150416 = 0. Calculate p.\nAnswer: -2, 18098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2631\nAnswer: 4\/2631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) + 8\/(-198). Suppose -29 = s - 30 + 4. Sort -0.3, w, 1\/6, s in descending order.\nAnswer: w, 1\/6, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140*0.13821.\nAnswer: -19.3494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 11:41 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o - 2 + o - 5*o + (-4 + 3 + 2)*(-1860 + 1860 + 137*o) to the form h + f*o and give f.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11063 is divided by 3674.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let z = -5 + 15. Let y = z - 5. Determine n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Suppose 4*z - g*r = -5*r + 8, -z - 2*r = -2. Suppose b = -z*b. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let g(l) be the second derivative of -11*l - 1\/2*l**2 + 0 - 1\/3*l**3. Calculate -g(q) + 5*x(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-28)\/(((o*o**(-2\/43)\/o)\/o)\/o))**(-3\/25) assuming o is positive.\nAnswer: o**(3348\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2115 - -1467. Is a at least as big as -646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-63480)\/14)\/(-4) + (-6)\/(-14). Suppose -2*i = -4*t + 1512, -4*t + t - i + z = 0. Suppose -t = -3*f + 24. Does 31 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6)*12\/52. Which is the nearest to 1.2? (a) z (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169142977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b - 8*b**2 + 14*b - 2 - 23*b + 0*b**2 to the form r*b**2 + y*b + t and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r - 48. Let j be (-1 - r\/(-20))*-5. Suppose -68 = -2*i - 4*z, j*z - 6*z = 5*i - 140. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 + 6. Let m(a) = a**2 + 1. Let i(x) = h(x) - 6*m(x). Factor i(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**3 - 7*n - 7. Let m(j) = -7*j**3 - 6*j - 6. Suppose -f + 2*u = 7, -4*f - 5*u - 28 = -0*f. Give f*m(r) + 6*o(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 + g**2 + 29*g**2.\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*d = 6002*d - 810*d + 3004*d + 582602 for d.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 11*i - 5*i + 23040 = 0. Calculate the remainder when i is divided by 82.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5318 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, -3, -0.3, 4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -19 (c) -4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**7\/2520 - 7*r**6\/720 + r**5\/24 + r**4\/3 + 5*r. Let p(a) be the third derivative of q(a). Determine p(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 17*n**3 - 2*n - 1. Let o be 0\/(3 + 0 - 36\/9). Let i be o\/2 + -9 + 11. Let t be (6*i\/6 + -3)\/1. Calculate m(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21004 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 5, 17, 35?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31868*b - 31896 wrt b.\nAnswer: -31868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/29 + 1870\/638. Let s(g) = g**2 + 3*g + 3. Let x be (0 + 2)\/2 + 1. Let i(p) be the second derivative of -p**3\/3 - p**2 - p. Give k*i(b) + x*s(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 2. Let r = 6 - 4. Let g be y(r). Suppose -2*s - 11 = -j, 0*j - 22 = -g*j + 2*s. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -107.8. Let v be 31\/(-18) - (-12)\/8. Let a = 4\/7 + -15\/14. What is the nearest to a in g, v, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138 times 3360.41\nAnswer: -463736.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 39.7. Let l = 9.9 - o. Let z = -12 + l. Sort 0.4, 5, z in ascending order.\nAnswer: z, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 433 - 429. Let r(l) be the first derivative of 5 + l**2 + 0*l**3 + 0*l + 1\/2*l**y. What is the second derivative of r(j) wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 73, 7 in increasing order.\nAnswer: -3, 0, 7, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 3\/7 (c) 260.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 - -75. Let z be ((-96)\/10)\/(v\/3450). Round z to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 19, 33, 47, 61, 75?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*j - 5 = 0, 0 = -5*i - 24*j + 21*j + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.59 and -34.37?\nAnswer: 20.2783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*w, -12*i + 11*i - 3 = -w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*p + 4, -p + 2 = -2*b + 10. Let n = b + -2. Let f = n + 28. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 16*h - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 806239027 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140631 (base 7) to base 15.\nAnswer: 7dbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = 3*g - 21, -3*g + 2*w = -26. List the prime factors of (-2)\/g - 120\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(245) + 1 + 1 + (-3*(sqrt(720) + -1 - sqrt(720)) + -1)**2.\nAnswer: 10 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*r + 5. Let z = -2 - r. Let p(b) = -b**3 - 6*b**2 - 6*b - 3. Let g be p(-5). Sort g, 5, z in increasing order.\nAnswer: z, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v + 153 - 143. Suppose 0 = -6*d + d - 4*l + 9, 2 = 2*l. What is the least common multiple of ((8 + d)\/(-1))\/v and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72127, -72132, -72133, -72124, -72099?\n\"Answer: i**3 - 4*i**2 - 72124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 31*u - 7*u - 10*u - 12*u. Let j(b) = b**2 - 6*b - 6. Let x(o) = -o**2 - o - 1. Let a(k) = j(k) - 6*x(k). What is m(a(i))?\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 853127 and 836?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -804bb1 (base 13) to base 3\nAnswer: -12121110100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-8 - 6 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(0 - 1 - 1)*(53*x + 66 - 66)*(-2 + 2 + 2*x + (6*x - 2*x - 3*x)*(-2 + 2 - 1)) to y*x**2 + p*x + g and give y.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*d = 2543, -5*f + 50 + 3146 = -2*d. Calculate the remainder when 7028 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68035217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59868 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64623116 and 3972?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 244 = -2*w - 263, -11*w - m = 137 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/6*162\/135. Suppose 0 = -x*o + 567 + 161. Let i = 30 - 4. What is the highest common factor of i and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -31 - 14. Solve -n*s + 0*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 679, 0.5, 2\/5, 0.3, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005873050 >= 1005873048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(891) + 1*-2*sqrt(11) + 2)**2 + (1 + -2*sqrt(22)\/sqrt(2))*5.\nAnswer: 18*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2013002 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*m + 99, 3*m - 2*i + 6*i + 76 = 0. Let q = m - -26. Find the third derivative of 6*v**q - 7*v**2 - 4*v**5 - 4*v**5 wrt v.\nAnswer: -480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12310658.\nAnswer: 2, 23, 31, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + 2. Let k(q) be the second derivative of 2\/5*q**5 + 0*q**3 - 2*q + 0*q**4 + 9\/2*q**2 - 15. Give 4*k(z) - 18*u(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 15, -2*a + 9 = -c - a. Let r(n) = 9*n + 71. Is r(c) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 50, 52, 54?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -266659?\nAnswer: -1066636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031 is divided by 239.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -3*d. Suppose 2*c - 3 - d = 0. Factor u**3 + 0*u**2 - u**c + u - u**2.\nAnswer: u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/19)*j**(9\/11)*j*((j**(-18)*j*j*j)\/j*j*j)**(-27) assuming j is positive.\nAnswer: j**(79316\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -13*o + 31. Let z(s) = -7*s. Let v(m) = -m. Let y(u) = 6*v(u) - z(u). Let d(c) = -h(c) + 6*y(c). List the prime factors of d(12).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*o**2*u - 2500727*g*o + g + 9522884*o**2*u**3 - 4*o**2 - u**3 wrt o?\nAnswer: -2*g*u + 19045768*u**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 greater than -217942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562174005 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: What is 1\/(-14)*1008\/96?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**3 - 3 + 0*g + 5 + 3*g + g to z*g**2 + c*g + k + l*g**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 + 8*c - 2. Let l be p(-9). Suppose -353 = -5*f - l. What is the remainder when f is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 32 - (-13 - -9 - -6). Solve 21*q = -153 + s for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15*k + 13. Calculate the remainder when l(7) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (261\/522)\/((-25)\/10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1243*r + 9. Suppose -14 = -5*v - j - 17, 0 = -2*v - 4*j + 6. What are the prime factors of c(v)?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -93, 0.3, -0.15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232118 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 10:03 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - -93. Let f be (14\/(-6) - -2)\/(15\/m). Find l, given that 0 - f*l**2 - 4\/5*l + 2\/5*l**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3126070 and 20710.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4032 a factor of 1824157440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1219, -4821, -10819, -19207, -29979, -43129, -58651, -76539?\nAnswer: -96787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1905, 315, -5, 2?\nAnswer: -1905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40.65851ml?\nAnswer: 0.04065851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 149*c**3 - 8*c**2 - 12*c + 3. Let y be b(-2). Let k = y + 2270. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9093237 grams to tonnes.\nAnswer: 0.0000009093237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/468 and 70\/933.\nAnswer: 145548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/3)*m)**(-11))**(-9\/13)\/((m\/m**(1\/3))\/m**5*(m*m\/(m*m*m**6))\/(m\/m**(-1\/3))) assuming m is positive.\nAnswer: m**(1148\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19633\/589 - -1110\/31. Let y = 13\/16 + -297\/80. Calculate the common denominator of y and u.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006257308 rounded to 7 dps?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 8*n - 25. Let t = 20 - n. Solve 2*p = -t - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.473? (a) -1\/3 (b) -0.1 (c) -21 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2215 and 11?\nAnswer: 24365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 3*o + 1. Let j be u(-4). Suppose -4*i + 26 = -i + j*r, -r + 29 = 2*i. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*3\/(-6)*(-7)\/35\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 243 - y - 131 - 93. Let q(g) = 32*g**2 + 2*g. Give j(q(h)).\nAnswer: -32*h**2 - 2*h + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**3*x**5 - s**3*x**2 + 5*s**2*x**2 - 2*s**2*x - 21*s*x**2 - 187436*x**6 wrt x?\nAnswer: -60*s**3*x**2 - 22492320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f + r + 14 = -46*f, 5*r = -30 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -149*t - 3 + 8 - 2 + 148*t. Let q(n) = n + 2. Let r be q(-5). What is the lowest common multiple of i(r) and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -1\/143 (b) -0.3 (c) 122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b07021 (base 13) to base 3.\nAnswer: 21201021122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + z - 534 + 540 = 0, 5*z = -h + 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 2219536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) 28 (c) -1 (d) -3 (e) -4 (f) 62\/3 (g) -12\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 32*n - 22. Calculate j(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -108 - 96?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 16*c - 3. Let j be q(16). What is the remainder when 26*(-1)\/(-2) + -2 is divided by (27\/(-15))\/j*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -13, 2, 23?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*r + 112*r + 60. Solve y = -2*y + r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**3 + 3*n + 2. Let l be h(2). Let t = l + -215\/4. Let b be (-6)\/33 - 105\/(-33). Put t, -4, 0.2, b in increasing order.\nAnswer: -4, 0.2, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**7\/2520 - l**6\/240 - l**5\/40 + l**4\/8 + 2*l**2. Let x(p) be the second derivative of f(p). List the prime factors of x(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 - 1 + 1 - 4*k**4 + 6*k**4 - 3*k**4 + (1 - 4 - 8)*(4*k**2 - 4*k**2 + k**4).\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.4, 0.1, -2, 1, -15, -0.3 in increasing order.\nAnswer: -15, -3.4, -2, -0.3, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2685672273 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q\/((q*q**7*q)\/q))\/q*q*q*q*q**(1\/6)\/q*q**(-4)\/((q\/q**(3\/7))\/q) assuming q is positive.\nAnswer: q**(-353\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c3 + 4?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:00 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 + 2*x + 2. Let d(h) = 3 - 36 - 5*h + 9*h**2 + 68 - 40. Let f(v) = v**2 + 6*v + 3. Let q be f(-2). What is q*g(s) - 2*d(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*s - 5 = 0, -s - 4 = -3*v + 6*v. Let i be (-1 - 3\/v) + 4200\/(-2070). Which is greater: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 - 3?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -477 - -442. Let u(j) = -5*j**2 + 6*j + 9. Let r be u(8). Let p = x - r. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*l + 5, l + 26 = 5*f + 4*l. Let k be ((-141)\/21 + f)*(-3)\/6. Which is the biggest value? (a) -2\/3 (b) -14 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from ywwywww.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*m - 20 = -5*s + 71*m, -4*m = -2*s - 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 355, 528, 701?\n\"Answer: 173*v + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1647809, 1647806, 1647803?\nAnswer: 1647800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105934091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57904 or -56014?\nAnswer: -57904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4584880 and 38398370?\nAnswer: 307186960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*w - 4 + 15 = 0, 2*w = -4. Let m = b - -5. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 272403 and 4248.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**7\/63 - l**6\/5 + 7*l**5\/15 - 11*l - 3. Factor s(w).\nAnswer: 2*w**3*(w - 7)*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -22. Let k(t) = 1 - 4 + 1 + 6*t + 5 + 2*t**2. Let l(j) = 2*j**2 + 5*j + 2. What is i*k(m) - 6*l(m)?\nAnswer: -2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -703, -2 in decreasing order.\nAnswer: -2, -4, -5, -703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*u**5 + 1 + (2*u**2 - 4*u**2 + u**2)*(5*u**3 - u**3 - 3*u**3) + 2*u**5 + 1 - 1 - 5*u**4 + u**5 + u - 5*u**5 + u**5.\nAnswer: u**5 - 5*u**4 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442056?\nAnswer: 2, 3, 113, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2228*x - 16168 = 2572*x for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**6\/120 - x**5\/20 - 5*x**4\/24 + x**3\/2 - 4*x**2. Let w be a(6). Suppose -3*s = -w + 21. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.452 + -2.852. Let g = 0.5 + 0. What is the third smallest value in 0.1, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11654*f + 7586756. Give u(-651).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/((b*b\/((b\/(b*b**(2\/11)))\/b*b*b*b)*b)\/b)*b*b**(2\/23)*b**(2\/9)\/b**(-5) assuming b is positive.\nAnswer: b**(18506\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c758 (base 14) in base 7?\nAnswer: -642141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -132, -121, -94, -45?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 107*-1\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**2 - 2*m + 2. Let t(a) be the third derivative of 19*a**5\/60 + 7*a**4\/24 - 7*a**3\/6 - a**2 - 16*a. Determine 4*t(u) + 14*v(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259418499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 7*l**2 + 3*l - 2. Let p be t(7). Let k = -17 + p. Suppose -5*v - 38 = -3*q, -q + v = 2*v - k. What is the highest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25317 - -100683. Round q to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 2371403480661.\nAnswer: 2371403480661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 178\/9, -0.2, -5?\nAnswer: 178\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p - 8. Let f = p - -30. Let t = -16 + f. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.10500127 - -0.105. Round d to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - c + 1. Let x be (-2 - 1)\/(3\/4*-2). Suppose 10 = -2*d + d - 4*z, x*z = 4*d + 4. Determine t(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 5*v**2 - 13*v + 7. Let j be r(4). Solve i + j*i = 4*y + 20, 5 = i - 4*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(11\/3))**(1\/2))**(-17))**41 assuming q is positive.\nAnswer: q**(-7667\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 - 3*s)*(-1 + 1 - 1).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (25\/(-2))\/((-4)\/8). Let q(i) = i**3 - 24*i**2 - 25*i + 18. What is the remainder when 611 is divided by q(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13053*h*r**2 - 5229085*h + 74*r**3 wrt r?\nAnswer: -26106*h*r + 222*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/2, 915, -3, 5, 4 in increasing order.\nAnswer: -3, -2, 3\/2, 4, 5, 915","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009111509 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r**(3\/8)*r*(r*r**(-2\/9))**13)**(-13) assuming r is positive.\nAnswer: r**(-5135\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 0.4 (c) -1090 (d) -308 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28109 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8902404 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:18 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/2, 0.0309, 3, -13, -2\/7 in ascending order.\nAnswer: -13, -1\/2, -2\/7, 0.0309, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**6 assuming v is positive.\nAnswer: v**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*g - 4, 4*r + 2*g + 16 = g. Let l = 9 + r. Solve -o - 2*o + 9 = -3*n, -2*o + l*n = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -6. Let a = x - 5.8. Sort 2\/9, 4, a.\nAnswer: a, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y = 70*y + 36 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*p - 2, -15 = -5*b + 3*p + 1. What is the greatest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -791 equal to -799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 157*x**4\/12 + 29*x**3\/2 + 23*x**2 + 1. Is v(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by 60\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-5)*r)*r*r**(1\/2)*r*r*r**(1\/3)*r*r**(-3)*r*r*r**(-5)\/(r*r**(-1\/5))*r\/(r*r*((r**4\/r)\/r)\/r)*r*r**(2\/7) assuming r is positive.\nAnswer: r**(487\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 + 3*k**2 + 6*k**2 - 38*k**2 + 3 + 6*k**2 to y*k + v + w*k**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -21043 = -21045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let q = 3 + 0. Let f = q - i. Which is the closest to f? (a) 0.5 (b) 2\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y**3 - 12 + 12)*(3*y**2 - 2 + 2) - 2*y**5 + 0 + 0 + (2*y - 2 + 2)*(-9*y**4 - 2*y**4 + 3*y**4).\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.7 - -10.2. Put -5, k, 0.02 in increasing order.\nAnswer: -5, 0.02, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmzmmmz. Give prob of sequence zz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 668 and -4.\nAnswer: -2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -9*a - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 4785?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adjxpxaajdxxdpjx. What is prob of picking 1 x, 1 j, and 1 p?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38579 + 26710. What is q rounded to the nearest 100?\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -814 + -5835b?\nAnswer: -58b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3 + 101436*w**2 - 1522264*w + 4465824 = 0. What is w?\nAnswer: -25374, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/95 or -1?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1938*w**2 + 5*w - 2. Let j be m(-4). Let n = -14111 + j. Let q be (224\/3)\/(3\/n). Round q to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x**2. Let z(f) = 11*f. Give z(s(j)).\nAnswer: -110*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltlrrrrrttrtrwrer. What is prob of picking 2 l and 1 t?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -89*y**4\/4 - 3*y**3 - 9*y + 847. Let p(s) = -22*s**3 - 2*s**2 - 2. Determine -9*p(d) + 2*w(d).\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*-110.\nAnswer: -3080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 8) + 11 - ((-1 - -4) + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 7683.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Suppose o*p - 210 = -2*p. Let m = 64 - p. Calculate the smallest common multiple of 12 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 194154*a*u - 65*a - 55*o**2*u**2 + 347*o**2 - 410 wrt u.\nAnswer: 194154*a - 110*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4\/(-56)*-41)*-4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991802.4s in minutes?\nAnswer: 16530.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154273*h**2*n - 73*h**2 + 490 wrt n.\nAnswer: 154273*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 12*h + 12*h)*(-3*h + 9*h - 3*h)*((1 - 4 + 2)*(0 - 2 + 0) + 1 - 1 + 1).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 7, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 15*w**2 + 18*w - 8. Determine k(16).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 286928 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -5)*(-1)\/(-2). Find the second derivative of 3*y - 4*y**x + y + 3*y**3 - 3*y wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2\/5*u - 2\/5*u**4 - 2\/5*u**3 + 6\/5*u**2 - 4\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 20. Let o = y + 10. Which is the second biggest value? (a) o (b) 2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r**2 + 14*r + 7. Let u(v) = -13*v**2 - 28*v - 15. What is -9*n(k) - 4*u(k)?\nAnswer: -2*k**2 - 14*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.761886 rounded to one decimal place?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*d + 107*d - 24 = 0. Let o be (-4)\/d + 4\/(48\/3436). Suppose 3*g - 269 = o. What are the prime factors of g?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4238*p + 14191 + 95997 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 555 and 335035.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40327774 and 2?\nAnswer: 40327774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b + 12. Suppose m = 6*m - 2*y + 52, -b*y = 4*m + 36. Let v = 42 - m. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7517 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65330 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 + 196. Calculate the highest common factor of 48 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*k - 11449629 + 1732047, 0 = -3*k + 3*i - 7288218. Round k to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.92 + -0.28. Let z = p - -1.6. Let j = -2\/1337 + -376\/4011. Which is the smallest value? (a) z (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 433*b**2 + 361*b**2 - 2*b - 2 + 3*b - b in the form t*b + p*b**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*g**3 - 14*g**3 - 48*g**3 + g - 48*g**3.\nAnswer: -16*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 196 = 7*w. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*n**2 + 130*n**3 + 10*n**3 - 18*n**2 - 48*n**2 - 13*n**2 wrt n.\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 + 22)*(-3*a + 4*a - 4*a) in the form r*a + p and give r.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-1)\/20)\/((-427)\/((-7346108)\/(-759))).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60334 by -2.\nAnswer: -30167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1894, 3614, 5332, 7048?\nAnswer: 8762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 7:03 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*4*(sqrt(77) + sqrt(77) + (sqrt(77)*2 - sqrt(77)))*-2)\/((sqrt(252) + sqrt(252) + 1*sqrt(252)*2 + sqrt(252) + 1*-2*sqrt(252))*-3).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1303 or -9123\/7?\nAnswer: -1303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Let m(h) = 2*h**2 - 3. List the prime factors of m(n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 - 1 = 0. Let z(j) = -j**2 + 4*j - 3. Let w = -1 - -3. Let h be z(w). What is the nearest to h in 3, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7380)\/574)\/(((-6)\/(-28))\/(-1)). Suppose -j*i = -63*i - 15. Put i, 4, -4 in ascending order.\nAnswer: i, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*s - 771*s - 145*s**3 + 217*s + 345*s.\nAnswer: -145*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let t(q) be the second derivative of -q**5\/20 + 3*q**2\/2 + 3*q. Let d(m) be the first derivative of t(m). Give g(d(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5157264600?\nAnswer: 2, 3, 5, 587, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405173316.\nAnswer: 2, 3, 41, 149, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 165 (b) -0.1 (c) -233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 7*r**2 + r - 1. Let x be p(4). Let t = x + -40. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*g + 7*j + 104, 3*g = 2*j + 136. Calculate the remainder when g is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 3 (b) -0.03 (c) 0.16 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/21*2\/16.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29, 107, 237, 419?\n\"Answer: 26*z**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(sqrt(5) - (0 + sqrt(5)*-2) - sqrt(15)\/(sqrt(6)\/sqrt(2))) - (1 + sqrt(30)\/sqrt(6) + 0 + sqrt(15)\/sqrt(3))**2).\nAnswer: -23 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 6*d + 1. Let i be f(-7). Is i less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -132897165120*x**2 - 50539920*x - 4805 = 0. Calculate x.\nAnswer: -31\/163032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {e: 3, g: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*3\/14*60\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -225050199*u**3 - 178213466*u**2?\nAnswer: -1350301194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(r - 3*r + 5*r)*(-437*r - 399*r + 37*r).\nAnswer: 4794*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -10\/9 (b) -4848 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0, 7, 4\/29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 3\/7 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 2*i - 30. Let m be 86\/10 - 11\/(165\/i). What is the highest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49337543?\nAnswer: 1637, 30139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**2*y**3 + 2*a**2*y + 435*a*y + 8*a + y**3 - 99*y - 49 wrt a.\nAnswer: 6*a*y**3 + 4*a*y + 435*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 3 - sqrt(11)) + sqrt(11) + 4)**2 + -1.\nAnswer: 14*sqrt(11) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-8) + (-2 - (-3 + -3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/(-9)*(10 + -4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 48 = -4*b. Let x(k) = -k**2 - 16*k + 12. Suppose -d + 46 = 5*j, 2*j - 80 = -5*d + 7*j. What is the remainder when x(b) is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l = 77*l - 37*l + 18 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62020 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -95. Let w(k) = k**3 + 9*k**2 - 2*k - 4. Let f be w(-9). Let m = -6 + f. Calculate the highest common factor of m and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*1\/(-4)*(-1)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*j**3*u**4 - 64*j**3 + j*u**2 - 49*u**4 wrt u.\nAnswer: -144*j**3*u - 1176*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 - (-31 - -31).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-208)\/(-24) - -7 - 2\/(-6). Let d be 570\/40 - (-1)\/(-4). Solve h + i = d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -22*d - 25 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -2*n + 5, 5*n = 3*z - 3*z + 25 - 50 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2075, 16647, 56263, 133469, 260811?\n\"Answer: 2091*z**3 - 24*z**2 + 7*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/2096 and 91\/96.\nAnswer: 12576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-6)\/(-20))\/(-3))\/(10\/(-40)) and 1\/(-3) + (-265)\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/53 and 42\/53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -5*l**4\/24 - 5*l**3\/6 + 6*l**2. What are the prime factors of c(-5)?\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 169924 and 193?\nAnswer: 32795332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1270693771 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -52836*j**2. Let y(b) = -b. Give u(y(v)).\nAnswer: -52836*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2 - 315512*q + 24886955536 = 0.\nAnswer: 157756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 + 6*g - 6. Let u(n) = -7*n**2 + 13*n - 13. Let a(r) = 13*b(r) - 6*u(r). Let s(t) = -3*t**2. Calculate s(a(y)).\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 447c7?\nAnswer: 447c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1637.394 and -1?\nAnswer: 1636.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 15*u - 10 = -13*u, v = 4*u + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - ((-5 - -6) + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(4*(-1 + 4*(sqrt(75) + -3) + -3*sqrt(75)*-5))**2.\nAnswer: -435907 + 39520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l - 5. Let m(d) = -6*d. Determine m(z(f)).\nAnswer: -24*f + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v**2 - 3*v**2 + 0*v**3 - 2*v**3.\nAnswer: -2*v**3 + 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -849\nAnswer: -1\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2\/1342843, -4 in increasing order.\nAnswer: -9, -4, -2\/1342843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, n: 2, q: 3, u: 1, j: 4}. What is prob of sequence uqq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) -0.44 (b) 1 (c) -122\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268842 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*j**6 + 1862*j**2 + 1913*j**2 - 3898*j**2 wrt j?\nAnswer: 13560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -972 - -971. Let c(a) = 40*a + 2. Give c(n).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + b**4 + 1 + 0*b**4 - b**2 + b**4 to u*b**4 + l*b + s + a*b**2 + o*b**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 58b46 (base 12) in base 2?\nAnswer: 11101000101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(196\/119) - 5 - (-9 + 2)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + -1. Let y be (3\/(-9))\/(2\/k). Let p(s) = -s + 5. Let i be p(7). Sort -4, y, i in descending order.\nAnswer: y, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -812762 (base 9) to base 10\nAnswer: -481034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -42463 (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*v - 32 = -3*b + 747*v, 27 = 3*b + 3*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 16*f = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 16158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**3 + 2*a + 2. Let d be v(-1). Suppose -c - 3 = -d. List the prime factors of ((-2)\/(-2) - c)\/(1\/(-170)).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-185)\/(-333)*33\/5*3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/5)\/o*o\/(o\/(o\/(o\/((o**(-1\/2)\/o)\/o)))))**49*(o\/(o*(o\/(o\/o**(-2\/9)))\/o))**(2\/53)*o**(1\/2)*o*(o*o\/o**(-1))\/o assuming o is positive.\nAnswer: o**(-564181\/2385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -268, -1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.079395 to 3 dps.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*d + 5*d - 110 = 0 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 4 (c) -2\/7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3433, -10712, -22843, -39826, -61661, -88348, -119887?\nAnswer: -156278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)*h\/(h\/(h\/h**(-11))*h)*(h*(h**(-1\/5)\/h*h)\/h)**35 assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3870*t + 1807236. Give v(467).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*k = 243*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4623 and 2760?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + c + 2. Let v(w) = w**3 - 3*w**2 - w - 5. What is 5*o(u) + 2*v(u)?\nAnswer: 2*u**3 + 4*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3.4, 18\/5.\nAnswer: 3.4, 18\/5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = z + 2, 3*z - 39 + 105 = 3*b. Which is greater: -15 or z?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q)*(-7*q - 5 + 5)*(-51*q**3 + 32*q**3 + 31*q**3).\nAnswer: -168*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/3267, -0.7, 3, -157\/6 in descending order.\nAnswer: 3, 2\/3267, -0.5, -0.7, -157\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (497\/71)\/(1\/2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 7*s + 11. Calculate the lowest common multiple of 9 and o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110020 (base 3) in base 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*sqrt(891) + sqrt(891))*3)**2.\nAnswer: 72166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 7. Let w be (-2)\/(-4) + (-7)\/(-2). Suppose -w*c + q*c = -16. What is the highest common divisor of 88 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*(x\/(x\/(x*x\/(x\/((x*x\/x**23)\/x)))))\/x*x)*x*x**5 assuming x is positive.\nAnswer: x**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 6*k**2 - 6*k + 5. Let t be v(5). Suppose t*p + 492 = 4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**9\/1512 + a**8\/420 + a**7\/420 - 4*a**3\/3 + 8. Let g(t) be the third derivative of l(t). Determine n so that g(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2677 - -2665.67. Let f = -68.43 - h. Let g = 57 + f. Which is the third biggest value? (a) g (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*r - 19. Let w be r\/(-4) - 2\/8. Let s(d) = d - 1. Let t be s(w). Which is the third biggest value? (a) 4 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -625 + 646. Suppose -3300 + 969 = -f*w. What are the prime factors of w?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 25*s + 52. What is c(-7)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - 5.03. Let l(z) = z**3 - 8*z**2 - 14*z + 3. Let p be l(10). Let d = 66 - p. What is the biggest value in -4, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0186 + -0.0814. Let b = 2.067 + 0.033. Let p = -2 + b. What is the smallest value in 0, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(15*l + 10*l - 5*l).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5951000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -126, -230, -376, -564, -794, -1066?\n\"Answer: -21*p**2 + p - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 - 94 + 118*l**2)*(-35 + 2*l**2 + 18 + 18).\nAnswer: 236*l**4 + 118*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**3 + 6745*x**2 + 26875*x - 33625 = 0.\nAnswer: -1345, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -37. Suppose 0 = -d*w + 11*w. Suppose 2*r = -m - 1 + 3, w = m - 4*r - 2. Solve -t - 16 = 3*z - 5*t, -m*z - 5*t = 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2792\/(-7678) - 98\/33)*(-27)\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5 + 173.2.\nAnswer: 169.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3289488 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36190 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 27 = -4*d. Let m(y) = -5*y + d*y - 3*y + y. Let f(i) = 9*i. Determine m(f(h)).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*i = 53*i + 168. Suppose -i*d = 5*d - 51. Factor -2*m**5 + 0 - 17\/2*m**4 + 0*m - 10*m**d - 2*m**2.\nAnswer: -m**2*(m + 2)**2*(4*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1)*d*d*d)\/d)**(1\/40)*d**(1\/6)*(d*d*(d**(2\/7)*d)\/d)\/d*d**6*d*d**(-1\/10)*(d*d**(-3\/7))\/d**(3\/7) assuming d is positive.\nAnswer: d**(3589\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.062 and 2492514.\nAnswer: 154535.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from qqqqqqqqqbqqq?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 225 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 4521*u**5\/20 - 773*u**3 + 5153*u. Find the second derivative of h(b) wrt b.\nAnswer: 27126*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3456))\/((sqrt(96)*-1)\/sqrt(8)) - (((-1 + sqrt(72))*-5)**2 - (-2 + sqrt(72) + -1)).\nAnswer: -1828 + 282*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -2 - 3) + 0. Let f be (t + 3)\/((-651)\/(-333)). Let m = -7\/31 - f. Is 1 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60160 and 10560.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = 6*y - 110 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, 0.1, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvspyytcyystytp. What is prob of picking 2 y, 1 t, and 1 s?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 15*o**2 - 16*o - 231. Let t be i(-15). Put -3, -5, -1\/2, t in increasing order.\nAnswer: -5, -3, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + 2*s - 1. Suppose 0 = -8*o - 80 - 24. Let q = o + 14. What is the remainder when h(1) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -606.09 - -598. Let m = 8 + o. Let y = m + 0.09000024. Round y to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5135 and 75374611.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 103030107 * -0.2\nAnswer: -20606021.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v + 6. Let o(k) = 2*k + 4*k + 3 + 2. Let q(t) = -5*h(t) + 6*o(t). Suppose -16 = -m - 5*y + 3, 0 = -m - 4*y + 15. What is q(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 1. Let b be z(4). Let h = 12 - b. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3742652 by 4.\nAnswer: -935663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 390522\/131?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2. Let a(c) = 8*c**2. What is k(a(u))?\nAnswer: 320*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*m + 85*m + 240*m - 70*m = -26076 for m.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -422430594*l*w**2 + 4*l*w - 219058*w - 13 wrt w?\nAnswer: -844861188*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 9*k**2 + 28*k**2 + 21 - 2*k + 21*k**2.\nAnswer: 44*k**2 - 2*k + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*v - 111*v - 2580 = 0. List the prime factors of v.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.1, 0.087, -89, -445, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o = 3097 - 3625 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(171)*-2 + (sqrt(171) - 4*(sqrt(171)*-2 + sqrt(171) - sqrt(171)) - sqrt(171)))\/(sqrt(36)\/(sqrt(4) - (sqrt(4)*-2 + sqrt(4))*-2)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4872*u**5 - 383*u - 15.\nAnswer: -97440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -25*r**5 + 335*r**4 - 365*r**3 - 695*r**2 + 390*r + 360 = 0.\nAnswer: -1, -3\/5, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253.8124 millilitres to litres.\nAnswer: 0.2538124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 46*r = 17*r + 207120. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j. Let q be d(-4). Which is the closest to -0.2? (a) -2\/3 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 4. Let o be b(2). Solve 5*c - c - 16 = o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178\/445*1\/(-7)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.63 - -1.47. Let g = q - 0.1. Let m = 1 - g. What is the third smallest value in 2\/5, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5243 - -5284. Calculate the remainder when 46 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:36 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 277, 352, 447, 556, 673?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43616778 - 43616778 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or -9994?\nAnswer: -9994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 + 2*q - 1. Suppose 2*i + 4 = 3*i + z, -3*i = 5*z - 10. Let w(y) = y**3 - 4*y**2 - 6*y + 6. Let r be w(i). Give f(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 0\/(-2) - 1. Let a be (-6)\/(-1638)*j*-127. Let i = 7\/39 + a. Sort i, 0.2, 4 in descending order.\nAnswer: 4, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879981080?\nAnswer: 2, 5, 11, 1999957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i + 208. Let d(p) = -p**2. Give a(d(m)).\nAnswer: -6*m**2 + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114924 is divided by 16414.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312 - 130133?\nAnswer: -132111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*w - 142*w - 33 = 2*c, -w + 6*c - 22 + 19 - 24 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a0715 + -20b?\nAnswer: a0506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 22 + 21, 0 = -4*z - 5*g - 27. Let x(s) = -s**3 - 9*s**2 - 12*s - 5. Give x(z).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*a - 15, 3*a - 2*x + 4*x = -10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693903 is divided by 308?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 1390*t + 10926. What is b(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpdgtdt. What is prob of picking 1 d, 1 g, and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 9*h + 3*h + (1 - 2 + 2)*(-2*h + h + 3*h))*(2 + 1 - 1) to q*h + r and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 45, -53, -10.\nAnswer: -53, -10, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -988 = -49*u + 253 + 278 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159165 and 3442095?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3488400 rounded to the nearest 10000?\nAnswer: -3490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g + 2*g**4 + 5*g + (g**2 - g**2 - g**3)*(g - 6*g + 3*g) as r + v*g**2 + i*g**3 + l*g**4 + t*g and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*j**2*o + j**2 - j*o + 2*o + 28 with respect to j.\nAnswer: 36*j*o + 2*j - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -17*d. Let h(y) = -160228*y**2. Give m(h(v)).\nAnswer: 2723876*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 11 - 37 = 0. Let a be (q + -1)*(-4 - 41\/(-4)). Calculate the greatest common divisor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + y = -0*y - 0*y + 2*y, 2*y = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, k: 3, v: 1, g: 8, o: 5}. Give prob of sequence oovp.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -19, -32, -49, -70?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -325 less than 2201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by 438?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, -4.\nAnswer: -4, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -188, -187, -186, -185?\n\"Answer: w - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 9*u - 1. Let d be j(-9). Let r be -2*(-20)\/(-8)*d. Suppose 4 = 3*f + 3*n - 23, -3*f = r*n - 29. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q + 50*q = 37*q - 56*q. Let i(j) = 6*j - 17. Let v(r) = 5*r - 18. Let b(w) = -4*i(w) + 5*v(w). What is b(q)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 3*c**2 - 5*c + 3. Let q be 60\/(-105) + (-96)\/(-21). What is d(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**4\/4 + 7*b**3\/3 - 11*b**2\/2 - 6*b + 6. Does 14 divide i(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539647?\nAnswer: 313, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 1. Let s(t) = -62*t**3 + 2*t**2 - 25*t + 3. Let d(x) = -3*q(x) + s(x). What is the third derivative of d(m) wrt m?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191ba (base 14) in base 13?\nAnswer: 22b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b + 98*b - 39*b = 484 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/3 + 8510\/345. Solve -r*s = -s - 104 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 15 - 1 - (-7 - 5)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 10:33 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*v**2 - 113*v**3 + 44*v**2.\nAnswer: -113*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*n**2 + 4 + 7*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 2:53 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -2\/19, -0.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.71193 rounded to one decimal place?\nAnswer: 20.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w + a - 1, 2*w - 10 = -2*a. Suppose 0 = -5*b + 3*m + 3411, -5*b + b - w*m + 2742 = 0. Suppose v + 8*v - b = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -437\/45 + 82\/9. Which is the third biggest value? (a) h (b) 4\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3*w**2 + 10*w + 2 + 0*w**2 + 5*w**2 in the form j*w**2 + p + v*w and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-13 + (3 - (3 + -6)))) + 8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 less than -36185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12920, 12173, 11342, 10385, 9260?\nAnswer: 7925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -22\/3, 1, 492, -0.5, 0.11, 1\/6, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5\/5 - 5*t**4 + 123*t**3\/5 - 171*t**2\/5 = 0.\nAnswer: 0, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -1\/6793 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -50.8*-857\nAnswer: 43535.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -4, 620 in decreasing order.\nAnswer: 620, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 1249 = -155. Calculate the remainder when 144 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -523203 (base 6) to base 3\nAnswer: -2010212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 2716d2?\nAnswer: -2716d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 - 0\/(-5). Suppose g*v + 40 = 5*v. Suppose 40 = 3*t - v. What is the lowest common multiple of 12 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*k = -35*k + 9088. Are 506\/7 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*d + 101 = -3, -2*d = -5*o + 148. Let j = o - 9. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 7*b**2 - b - 5. Let o be g(-7). Let h be o - (-3)\/(9\/30). Let s = -8 + h. What is the smallest common multiple of s and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 10:00 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 35 - 95 = 0. Suppose 3*k + 300 = 7*k. What is the greatest common divisor of d and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/3)\/(205\/30 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15642 + -150411?\nAnswer: -166353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 2*y + 7. Suppose 0*b = 3*h - 3*b - 9, -2*h - 3*b + 6 = 0. Let a be z(h). Let j be 1\/a - (-123)\/15. Which is bigger: j or 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-91)\/(-14) + (-9)\/6. What is the tens digit of 4\/10 + 108\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 + 5*u - 7*u - 7*u.\nAnswer: -9*u - 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 15202*n + 242971. Calculate f(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w**2 - 8*w + 12. Suppose 0 = -4*u + 3*y + 11, -4*y + 7*y = 9. What is the units digit of k(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from {v: 8, x: 2, b: 4, o: 2, k: 4}?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11691834 divided by -13\nAnswer: 11691834\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/224 and -9\/416.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3fe2 - 1e4?\nAnswer: 3dfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/240)\/(2\/(112\/(-7))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 325905 = 25*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsrs. Give prob of sequence ss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2120 - 11101?\nAnswer: -3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3982 + 3981 - 7963 - 4*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4739*d**2 - 142*d**3 - 20*d**3 + 5338*d**2 - 10077*d**2.\nAnswer: -162*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.1043 - 0.0043. Let h = v + -25.89. Round h to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/2 - (-14)\/4 - -1 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 36. Let d be (c\/(-8))\/((-5)\/(-420)). Let t = -39 - d. Solve 5*u + 8 = t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 478*m**2 - 45*m - 58. Is o(6) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12448*o**3 + 2*o**2 - o - 16894.\nAnswer: 74688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:24 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 30, 55?\n\"Answer: 25*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = -30*k - 22 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2265 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 + 152125?\nAnswer: 152164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4409 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3306\/(-30) - (-1)\/5. Let d = -59 - c. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1217 + 1216.5.\nAnswer: 2433.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 102 + 2. Let r = j + 80. Suppose -3*g - g = -r. Let n(l) = l - 4. Determine n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from uuuxxbubu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 2\/19, -0.19 in decreasing order.\nAnswer: 5, 1, 2\/19, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 0.83044.\nAnswer: -1.83044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 161*c**2 - 7*c + 6. Let x(u) = 160*u**2 - 6*u + 5. Determine 7*x(a) - 6*y(a).\nAnswer: 154*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - v. Let f be 1 + v + -2 - -1. Let s = -22 - -27. Solve d = -d + 4*r + 14, f = -s*d - 5*r - 40 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {h: 3, x: 4, n: 4, i: 8}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 4*o**2 + 0*o + 1\/1440*o**6 - 2\/3*o**3 + 0 + 1\/160*o**5 + 1\/48*o**4. Let m(x) be the first derivative of l(x). Factor m(g).\nAnswer: (g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.6 + 6. Round x to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(12\/(-108)). Let w(y) = 2*y - 2. Let h be w(2). What is the third derivative of -h*z**2 - 34*z**4 + n*z**2 + 37*z**4 wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00122641 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 58*q. Let g(f) = 2073*f - 1044*f - 929*f. Determine g(o(u)).\nAnswer: 5800*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s. Let k(q) = -171*q**2 - 5656 + 12*q**2 + 5656. What is k(t(l))?\nAnswer: -3975*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3161 and 0.0554.\nAnswer: -175.1194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.4 (b) -4 (c) -1.8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**5\/50 + o**4\/15 + o**3\/15 - 2*o**2\/5 + 6*o. What is n in l(n) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/11, 60 in ascending order.\nAnswer: 2\/11, 0.5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t**3\/3 + 89*t**2\/2 + 401*t\/6 + 13 = 0. Calculate t.\nAnswer: -1, -13\/56, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2263*w**2 - 46 - 4473*w**2 + 46 to the form y + h*w + s*w**2 and give s.\nAnswer: -6736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4914104374?\nAnswer: 2, 269, 9134023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:18 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g - 61. Let p be a(8). Suppose -2*y = -y + p, -4*m - 2*y = -1426. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7008 + 1?\nAnswer: 7010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(3 + 1 + -5)*18. Suppose -2 = o - 6*l + l, j = 3*o - 3*l. Solve 0 = -5*s - 2*k + 19, 3*k = 3*s + o*k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/10 + (-264)\/(-10) is divided by ((-1)\/3)\/(2\/(-84))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 - 24*k - 9. Let d(y) = -4*y**2 + 25*y + 4. Calculate 4*d(m) + 3*x(m).\nAnswer: -m**2 + 28*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05139 + 31.11861. Let g = s - 31. Round g to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 339715\/12 - 84931\/3. Let x = 321\/25 + -23379\/1850. Calculate the common denominator of x and y.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10777358465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/13 (b) 3 (c) -0.27 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.1 * 3.\nAnswer: -66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-21)\/(84\/(-2)). Let h(q) = q**3 + 4*q**2 + 3. Let p be h(-4). Suppose 13 - p = -2*j. Put u, -1, j, 8 in descending order.\nAnswer: 8, -1, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106 + -118 + (8 - 0) + (3 - (-40 + 1))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(((c*c\/(((c*(c*c**(-1\/3))\/c)\/c*c)\/c*c)*c*c)\/c)\/c)))**(-2\/51))**9)**(-3) assuming c is positive.\nAnswer: c**(24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4955368 and 704.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z - 10 + 125 = -53 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240\/43 - 7997\/516. Calculate the common denominator of k and -43\/536.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -12*j + 4. Let y(p) = -p**3 - 24*p**2 + 25*p - 3. Let i be y(-25). Let w be d(i). Solve 5*z + 5*x - w = 0, 4*z + 0*x - 17 = -x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 10*l - 26891. Suppose 66*x - 89*x = -l. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501029914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 9:52 PM?\nAnswer: 531","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -22908 times -4\nAnswer: 91632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*y*z**4 - 61*y*z**2 - 18*y*z - 934*z wrt z.\nAnswer: 2136*y*z**2 - 122*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 71316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9187.3 + 9187. Let w be (-8)\/(-10)*(-10)\/22. Put u, w, -2\/3, 2 in increasing order.\nAnswer: -2\/3, w, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxgg when four letters picked without replacement from {k: 2, g: 3, y: 2, x: 7, j: 1, n: 3}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2247, -4492, -6737, -8982, -11227?\n\"Answer: -2245*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33733 - 0?\nAnswer: 33733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6137 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*g - 24*g + 0*g - 6*g + 89 - 5*g.\nAnswer: 6*g + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -30*z**2 + z**3 + 2 + 14*z - 10*z + 33*z**2 + 0 - 2*z**3. Give j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 12*d = -288. Let n = 140 - d. Let t = 49 + n. Calculate the remainder when t is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 7*u - 6. Let h be m(8). Let f(i) = i**h + 0 + 25*i**3 - 18*i**3 + 0. Calculate f(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -f + 10. List the prime factors of 28*((-66)\/(-8))\/(6\/f).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 2. Let q(r) = 5*r + 43. Determine 6*d(i) - q(i).\nAnswer: i - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5907 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-2*-2*4)**2 + -2 - (1 + sqrt(175) + -2)*-6.\nAnswer: 30*sqrt(7) + 1784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/11 + 2\/(-11). Suppose -m + 0*m + 10 = l. Let z = m - 5. What is the least common multiple of z and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1304143104 (base 6) to base 14\nAnswer: -2069d04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 1. Suppose 5*x + 63 = 8. Let y = -10 - x. Calculate h(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000288215105 rounded to 7 dps?\nAnswer: -0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14998*(-10)\/(-15)*(-6)\/(-4). Is 55\/22*n\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-10 + 19 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:24 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 149\/90 - -1\/90. Is c greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 281 and 2592787?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 15*c - 26. Let u be f(-26). Let r = 611 + u. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7264 = 3*q + 4*p, -95*q - 2*p = -93*q - 4838. What are the prime factors of q?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10 + 6 = 0. Suppose -2*h = -2*g - 38, -d*g - 16 = -h - 2*g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 153\/(13 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 4, c: 4, m: 3}. Give prob of picking 1 m and 2 x.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 1. Let n(u) = 6*u + 2. Suppose 0 = -3*t + 2*w - 29, 110*t - 118*t - 5*w - 5 = 0. Suppose -8 = -0*z + 4*z. Give t*k(x) + z*n(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(450)*5)\/(sqrt(360) + sqrt(360)*2 + sqrt(360)).\nAnswer: 5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 8 + 8 + (h + 5*h - 5*h)*(-1 + 4 - 4) - 2*h + 10*h + h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkc when three letters picked without replacement from ccickickcsiidioo?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(14)\/(-2*sqrt(7))) + (sqrt(700) - (sqrt(700) - (sqrt(700) + -1*sqrt(700))*6)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -6\/11 (b) -4 (c) 23 (d) 2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, 160, 494, 962?\n\"Answer: 67*v**2 - v - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -885 - -894 - (-5 + 5 + 1 - -57)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29901*u + 9959*u + 3016 = -9951*u - 9962*u for u.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45)\/6*4\/(-6). Suppose 2*o = a*o. Suppose o = -n - 0*n + 35. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -38, -57, -76?\n\"Answer: -19*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 47 = 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 - 4. Let a = h - 0.1. Suppose -3*c + 2 = -c. What is the third smallest value in a, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(72)*2.\nAnswer: 2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qypqoqppyyq. What is prob of picking 1 o, 1 p, and 2 y?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfi when three letters picked without replacement from {z: 1, f: 3, i: 1, x: 1, h: 1, q: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*x + 29. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5925791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 73153271654 - -14.198\nAnswer: 73153271668.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1649*r - 174 = 5525 + 2106 + 11983 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) 104 (c) 2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2508296\/27, -3, 4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 1\/5*p**4 + 0*p**2 + 4\/25*p**5 + 0*p**3 + 0 + 2\/75*p**6 - 15*p. Factor v(c).\nAnswer: 4*c**2*(c + 1)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 12) in base 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7837, 7880, 7923?\n\"Answer: 43*y + 7794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36243115 and -48903.\nAnswer: -36292018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -72612?\nAnswer: -72613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 67, 207, 407, 649, 915, 1187, 1447, 1677?\n\"Answer: -3*p**3 + 48*p**2 + 17*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 8, 5*i = 2*w + 2*i + 12. Suppose 4*r - 41 - 15 = w. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 + 2041167*n + 186 + 395 - 2041171*n + 487)*(0*n - n + 2*n).\nAnswer: -4*n**2 + 1170*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(242) - sqrt(242)) + (sqrt(20)*-1)\/sqrt(10))**2 - (sqrt(8) + sqrt(8) + sqrt(648) + 0 + sqrt(648) + sqrt(8))**2.\nAnswer: -3525 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = 3*b - 81, -4*p - 2*b + 348 = 0. Calculate the highest common factor of 44 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_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: Collect the terms in -5*l**2 + 9514*l**3 + 362*l - 362*l.\nAnswer: 9514*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4325519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (434\/(-1085))\/((-2)\/(-3)*(-21)\/805)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 22*j**2 - 8*j**2 - 13*j**2. Let z(l) = -4*l**2 - 3. Calculate p(z(b)).\nAnswer: 16*b**4 + 24*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 9270 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uohehrd. What is prob of sequence erd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0724 * -1.\nAnswer: -0.0724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(30\/4)*(-30)\/(-340)*-51.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 z when four letters picked without replacement from {r: 3, b: 7, z: 3}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24527, 48956, 73385, 97814, 122243, 146672?\nAnswer: 171101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2395 = -5*z - 16805. What is z rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4999632 divided by 1666544.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/7)\/(12\/(-112)). What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 10184*o - 1. Let r(h) = 49*h - 10. Give r(f(x)).\nAnswer: 49*x**2 - 499016*x - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -18*v + 156. Suppose 5*w - 6*n + 212 = -4*n, -3*n = v. Let h = 48 + w. Solve -c - c + h = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 850550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + 2*i)*(20 - 7 + 3)*(3*i - 2*i + 2*i).\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*b*p*t + 9*b*p + 13*b + 2*t - 24 wrt p.\nAnswer: -26*b*t + 9*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 15. Suppose -2 = -3*f + 2*f. Let g(q) = 2*q - q + 0*q - 2*q + f. What is g(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -442 - 0?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s + 9, 2*o - 8110 = -4*s. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {l: 1, e: 1, v: 1, d: 1, a: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279*h - 1274*h = 3*y + 31, 0 = 5*y - 5*h + 35 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 smaller than 1030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 8*n + 9. Let f be r(-7). Suppose -o - 4 = -2*c, -f*o - 3*c + 28 = 2*o. What is the units digit of (4\/(-6))\/(o\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9669, -19212, -28755, -38298?\nAnswer: -47841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/4 + 430747*v\/4 + 538440 = 0.\nAnswer: -5, 430752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(l**2 - l**2 - 2*l**4) + 2777 - 225*l**4 - 2777.\nAnswer: -223*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.357914 and -16.\nAnswer: 21.726624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7558 + -7558.03. Which is the nearest to l? (a) 5 (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/22, -4, -2.803, 4\/7?\nAnswer: -2.803","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16*l - 61. Let t be o(-4). Let i(y) = -1 - 38*y**3 + 39*y**3 - 5*y + 11*y - 6*y. Let v(z) = -2*z**3 + 4. What is t*v(d) + 10*i(d)?\nAnswer: 4*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46590.58us in milliseconds?\nAnswer: 46.59058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -66. What is the remainder when 2\/4*2*31 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s**2 - 43*s + 230. Let d be r(5). Is -386 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (4\/13)\/4*-19. Let i = 56\/65 + j. Which is the second biggest value? (a) i (b) -2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sasasasssassasassss. Give prob of sequence sa.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1374 and 734861?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23275, -29339, -35403, -41467?\nAnswer: -47531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (-6 - (1 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from iiivvvvvvvvvivvizv?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-1155)\/19) + (-3)\/(-45).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301265 is divided by 80?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5 - 67*v**4 - 950*v**3 - 3701*v**2 - 5520*v - 2700 = 0.\nAnswer: -6, -5\/2, -2, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 157068, 157066, 157064?\n\"Answer: -2*z + 157070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -269 and 0.1117775.\nAnswer: -30.0681475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1080 is divided by 156.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/(1\/(-6)). Suppose y*z = 6*z. Suppose z = 5*d - 1 - 4. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3999 or -0.09?\nAnswer: -0.3999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 - 3*g**2 - g + 3. Let f(t) = 44*t - 1508*t**2 + 3 + 1504*t**2 - 6*t**3 - 46*t. Determine -3*f(b) + 4*h(b).\nAnswer: -2*b**3 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2. Let q(v) = -v + 53. Determine w(q(x)).\nAnswer: 7*x**2 - 742*x + 19663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -974376551 by 35521.\nAnswer: -27431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2285057 (base 9) to base 7.\nAnswer: 13341616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Suppose l - 3*l + 8 = j. Find u, given that -4\/5*u**3 + 2\/5*u**l + 0*u + 2\/5*u**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) 16 (c) -0.073 (d) 0.4 (e) -0.2 (f) 2.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0124458665 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7801197 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h - 1266. Let b(j) = 2*j**2 - 5*j + 10. Let y be b(-10). Suppose -2*k = 5*t - h - y, -4*k - 899 = -5*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451527595, -451527596, -451527597?\nAnswer: -451527598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*n - 25*n - 85*n)*(-n - 1 + 1 + (-3 + 3 + n)*(0 - 2 + 0) + 3 - 2*n - 3 + 40*n - 30*n - 42*n) to the form b + s*n + z*n**2 and give z.\nAnswer: 2109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -q, 3*q + 3 = -3*i + 5*q. Suppose 3*h + 3*x = -h + 17, -4*x + 21 = 5*h. Are h and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-912)\/(-76)*(-2)\/(-15)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9488 + 256118\/27. Do -2 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(96))\/(2*sqrt(648)) + (sqrt(588) - (sqrt(588) + -1 + -3)) + (sqrt(588) - -2*(sqrt(588) + 1)))**2.\nAnswer: 1544*sqrt(3)\/3 + 149968\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.4. Let c = 164 + -163.99. What is the closest to z in c, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 24*w + 153. Calculate l(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 17*v - 23*v + 16*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3444212122 (base 5) in base 15?\nAnswer: a42492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = d, 4*r - 4*d + 15 = -13. Let p be (-1 - (-25)\/10)*(320\/(-15))\/(-8). Sort 21, r, p, -1.\nAnswer: r, -1, p, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2968 = 3*d, 43*r - 3*d - 11836 = 39*r. List the prime factors of r.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2011 is divided by 517?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296 - -472. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/3)*v**(-7)*((v\/v**(1\/3))\/v)**(-9\/8))\/(((v\/(v*v**(-1\/2)\/v))\/v)**(-1\/39))**(-3\/7) assuming v is positive.\nAnswer: v**(-17393\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2. Suppose 20*h + 123 = -97. Let n be h\/33 - ((-30)\/9 + -1). Give y(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183502 is divided by 63?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5393*o - 30578. Calculate s(6).\nAnswer: 1780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 - a - 3*a**4 + 3 + 39*a**3 + 5*a**2 - 37*a**3 in the form x*a**2 + b + k*a + j*a**3 + m*a**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3409 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.4577418 to 2 decimal places.\nAnswer: 96.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.9552 - 0.0848. Let v = r + 0.04. Is 0.1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58970355 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -379, -7, -3 in ascending order.\nAnswer: -379, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 349834612 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/816 and -91\/40?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s - 50. Let f be m(-4). Let r be 4\/7*7\/f. What is the third derivative of 7*v**2 + 12*v**2 - 5*v**4 - 7*v**r + 10*v**2 wrt v?\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 941 by -5.\nAnswer: -941\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 5*i = 79, -10*i - 2 = -2*i - 6*i for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 49677417.\nAnswer: 49677417.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*w - 22, 7*c + 5*w = 4*c + 17. Let d = 7 - c. Suppose -3*q + 3 + d = 0. Do 1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 492*i**4 - 3339*i**3 - 2*i + 4637957.\nAnswer: 5904*i**2 - 20034*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((12\/8 - 3)*-1). Put 2, y, -7 in increasing order.\nAnswer: -7, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -120?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -47 - 7*f + 2*f**2 + 45 + f - f. Let c be w(4). Is c\/4*(-17)\/(17\/(-298)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-23 + 55 - (27 + -10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -1.2 (c) -21 (d) 3 (e) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + (-173)\/174)\/1. Let p = 163\/1914 + j. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16863 - -31488. Is 75 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -200 + 218. Suppose 5*p - 36 = 21*b - a*b, -2*b = -6. Solve p = -3*l + 5*d, l - 3 - 14 = -5*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -16*x - 5*x + 5*x. Let b(g) = -18*g**2. What is y(b(u))?\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5464, 10964, 16506, 22102, 27764?\n\"Answer: 2*y**3 + 9*y**2 + 5459*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742658 is divided by 33511?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5907 and 703824.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42516 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -298639.66 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**3 - 5*b**3 + 2*b**2 - b - 2*b**4 + 2 + 8*b - 2*b**3 as r + i*b**4 + t*b**2 + h*b**3 + w*b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120424133 (base 5) to base 13.\nAnswer: -6a0562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 164560 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87321182*m**6 + m**3 - 117587*m**2 + m + 117 wrt m?\nAnswer: -10478541840*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g + 2. Let w be i(5). Let v = -8 + w. Calculate the highest common factor of v and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 155 + 599. Let g = -44 - l. Calculate the smallest common multiple of g and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p - 1 + 2*p + 3*p - p. Let f be b(-6). Suppose -4*u - u + 175 = 0. What is the highest common divisor of u and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j)**13*j**(-6)*j*j**3)\/(j**(-1\/2)*j**(-3\/11))**(-39) assuming j is positive.\nAnswer: j**(-135\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -155249\/9 <= -17249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 14289050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 1158*s - 11623. Determine z(10).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 9\/2002, 0.12, 1\/8, 27 in increasing order.\nAnswer: 9\/2002, 0.12, 1\/8, 1\/2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80*m**3 + 53*m**2 - 46622.\nAnswer: 240*m**2 + 106*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 42 = 7*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = z + 8*z. Solve -4*c = -2*c - z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from errznffmn. What is prob of sequence frnr?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-222)\/148*(-21)\/((-273)\/130)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*n = 7*n + 27, u = 5*n + 13. Let r = 78 - 79. Let x be 14\/(0 + (3 - r - 2)). Solve -k = u - x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2028)\/(-2366) + (-6)\/7. Suppose 5*v = 13 - 3. Sort -1, 1, v, h.\nAnswer: -1, h, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32910662.\nAnswer: 2, 83, 198257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*2\/3 - (-46 + 48). Solve -j + 5*j = l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n - 95*n + 22 = -46*n + 2*b, -3*b + 21 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 107805312\nAnswer: 1\/26951328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16548 and 7581742?\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a6328 + 4?\nAnswer: -2a6324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1216982 and 75\/1029754?\nAnswer: 13386802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*k - 5*k = 12, 5*i - 3*k = 16. Suppose -i*q = 2*q. Suppose 5*d - 152 = -4*l, -4*l + 0*l - 2*d + 152 = q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2111414 + -2018869.3. Let t = z + -92544.63999976. Let u = t - 0.06. Round u to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 103\/6*i**6 + 0*i**5 + 4 - 5\/2*i**2 + 0*i - 1\/3*i**3 + 0*i**4. What is the third derivative of k(v) wrt v?\nAnswer: 6180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 333.91 and -0.11.\nAnswer: 333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-2\/5)*(y*y**(2\/23)*y)\/y**(2\/29) assuming y is positive.\nAnswer: y**(8064\/3335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/28445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 1.98?\nAnswer: -5.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**5\/30 - 5*f**4\/6 + f**2\/2 + 11*f + 42. Let w(v) be the second derivative of n(v). Factor w(z).\nAnswer: 2*z*(z - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1*(-16 - -8)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v = 102 - 443 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19460 to the nearest 100.\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 l when three letters picked without replacement from bbbelbeblel?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwt when three letters picked without replacement from {t: 1, z: 1, h: 11, l: 2, w: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10000010010100111111 (base 2) to base 15\nAnswer: a8283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.1 (c) 27 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5346 or -4790?\nAnswer: -4790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15498.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b08 + -4616?\nAnswer: -5522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 542192560 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.9 + 6. Let b = -25.01 + 45.5. Let t = -20.5 + b. What is the second smallest value in t, 1\/2, -2, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 6 = 4*w, 6*w - x + 5*x + 14 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-119)\/(-2)*(-9258)\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = 0, -28*b + 32*b - 68 = 5*r. Solve -3*m + 13 = b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19545907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*o = 5, 5*o + 7 = u + 4. What is the remainder when 55 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/6 and 139\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2000, 4003, 6006, 8009, 10012, 12015?\n\"Answer: 2003*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -3690. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 = 52786*m - 52762*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1626904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 178 + 23*u + 68.\nAnswer: 22*u + 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(175) + 4.\nAnswer: sqrt(11)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*o + 60 = 5*u - 107*o, 2*u - 4*o - 46 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 598746 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*r + 4. Let p = r + 6. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 - -31.5. Let d = n + -29. Put -0.2, 0.2, d in ascending order.\nAnswer: -0.2, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-40 - (-6 + -15)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - (-197 + 135)) + -1 + 1 + -35?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i. Let v(a) = -12*a**2 - 6*a. Let h = -134 - -128. Give h*y(w) - v(w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**4*p**2 - 9*a**3*p**2 - 4*a*p**2 + 11*a - 1 wrt a?\nAnswer: 60*a**2*p**2 - 54*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r\/(r\/r**(-48)))\/r))\/r)\/(r**3*r)*(r**26)**45 assuming r is positive.\nAnswer: r**1214","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/3 + (-3784)\/990)*(-8 + (-768)\/(-84)).\nAnswer: -8\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.4 (c) -0.2 (d) 3 (e) 1202 (f) 0.84 (g) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -41, 5\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62, 58, 54, 50, 46?\n\"Answer: -4*m + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 16*b + 16.\nAnswer: 4*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 4*l**2 - l. Let s(x) = 3*x**3 - 13*x**2 + 4*x. Calculate -2*s(k) - 7*y(k).\nAnswer: k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4754.999 millilitres in litres?\nAnswer: 4.754999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, -5, -2\/11, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 6:18 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ba2904 + 0?\nAnswer: 1ba2904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 310 + -176. Suppose -j = 3*v + 67. Let q = 140 + v. List the prime factors of q.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 310*m**2 + m - 7. Is s(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-114)*(-8)\/(-34). Is 0.1 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = -20. Suppose 0 = 3*b - h - m, 0 = 3*h - 4 - 2. Suppose -b*r + 4*r = 18. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 838, 3370, 7596, 13522, 21154, 30498?\n\"Answer: i**3 + 841*i**2 + 2*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 369e4 + a4?\nAnswer: 36a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let a(t) = -4*t**2 - 19237*t. Give a(f(w)).\nAnswer: -4*w**4 - 19237*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - x + 108. Let o be l(0). Calculate the highest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.07 (c) -4 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63.4 + -77.31. What is q rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7651064 nanoseconds in hours?\nAnswer: 0.000000000002156974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + 4 - (31 + -21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90942?\nAnswer: 2, 3, 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0*s + 3*l + 5, 4*s - l = -17. Let r(u) = u. Let k(f) = 133*f + 123*f - 250*f. What is s*r(j) + k(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 0.74, -5, 0.1, -0.03 in increasing order.\nAnswer: -5, -0.03, 0.1, 1\/8, 0.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-4 + -2 + 2 + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -850*z + 854*z - 12 = 0. Differentiate 16*j**2 + 4 + j**3 + 2*j**3 + 42 - 5*j**z with respect to j.\nAnswer: -6*j**2 + 32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37971072 - 53083555631\/1398. Let b = 2\/699 + f. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*p + 41*p - 319*p**4 - 277*p**4 + 694 - 89 with respect to p.\nAnswer: -2384*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41265817991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1.1, -20\/19, 620\/21?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 - -89. Suppose -485 = -3*t + 2*o, -r*t - 5*o + 258 = -381. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**3\/3 - 5*q**2 + 14*q - 21. Let n be x(-11). Solve 0 = c - n*z + 8, 4*c + z - 24 = -z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*s - 13. Suppose -4*t = -s*v - 229 - 61, 2*t = 3*v + 146. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6))**(17\/6)*b**(-9\/7)*b*b*(b\/(b*b\/(b*b*b\/b**(1\/8)*b)*b*b))\/b assuming b is positive.\nAnswer: b**(-919\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2667.39 - 68.\nAnswer: 2599.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 28 = -5*d, -17*a + 12*a = -3*d. Suppose -4*x - 11 = -0*g + g, 0 = -3*x - g - 7. Sort d, -3, -20, x in descending order.\nAnswer: -3, x, d, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 18 + 39. Suppose m*l + 25 = 20*l. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1148598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11121 - -120110211?\nAnswer: 120022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-1 + 3)) + (-8 - -4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccchchhhhhhch. What is prob of sequence hchh?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/77)\/((-11)\/(-77)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10191 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -f57 (base 16) in base 15?\nAnswer: -126c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/12 + 2 + 48\/(-18). Which is greater: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1467.7399 - 1468. Round x to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*k**4 + 17*a + 5*k**4 + 2*k**3*s + 2*s wrt k?\nAnswer: 4*a*k**3 + 20*k**3 + 6*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 1010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - -1.5232?\nAnswer: 19.5232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-114))\/((-2)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1 + (2 - 1 - 2)*(-3 + 1 + 1) - 153 + 163 + 183 + 0 + 2 - 4)*(-1 + 2 - v + 1) as t + m*v and give t.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 281 - -96. What are the prime factors of c?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-3) - ((-7)\/(-3))\/7. What are the prime factors of (1 - c) + 4 - (-282 - -36)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -28, 686813, 2 in descending order.\nAnswer: 686813, 2, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 484.1535 years?\nAnswer: 4.841535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 1. Let c be i(5). Solve 0 = -y + c*y - 3*w + 9, -2*y + 4 = -5*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 999919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1589, 3205, 4833, 6479, 8149, 9849, 11585?\n\"Answer: c**3 + 1609*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 21*f - 8*f - f - 63.\nAnswer: -30*f - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 3*y - 2. Let z(n) = -1124*n - 2*n**2 + 1 + 578*n + 544*n. Determine 4*i(v) + 6*z(v).\nAnswer: -4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.499 less than 2?\nAnswer: 10.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 31*s**2 - 53*s + 892. Determine x(17).\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -564, -3, -1, 8, 5 in ascending order.\nAnswer: -564, -3, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -48842.5829 rounded to the nearest ten?\nAnswer: -48840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 231, 766, 1795, 3480?\n\"Answer: 27*x**3 + 4*x**2 + 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*n - 100*n - 175*n to the form d + v*n and give v.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) 1 (b) -15 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 5*p - 3. Let f(d) = 2*d**2 - d + 6. Let a be f(-3). Let t(s) = -9*s**2 - s + 2. Let o be t(-2). Let u = o + a. Give m(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 598348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a**(-1)\/a*a)\/a*(a*a\/(a**(-1\/24)*a)*a)\/a*a*a*(a\/(a\/(a\/a**15)))\/a*a**(-2)*a)**(33\/2) assuming a is positive.\nAnswer: a**(-3421\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939334.8 millimeters to kilometers.\nAnswer: 0.9393348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12010 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 118, 272, 498, 802, 1190, 1668?\n\"Answer: m**3 + 27*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 + -0.1. Let c = 1.8072 - t. What is c rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*p**2\/5 + 2064*p\/5 + 418.\nAnswer: -2*(p + 1)*(13*p - 1045)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(85)*-1 + sqrt(85) + (sqrt(85) - -2*2*sqrt(85))))\/((sqrt(1960)*-1)\/((-2*sqrt(80) + sqrt(80))\/sqrt(10) - sqrt(8))).\nAnswer: -8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 2014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1648?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 3:38 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*w + 2*p - 6, -3*w + 2 = -2*p. Factor -m**3 + 48*m + 3*m**3 + 58*m**2 - 28*m**w - 32 - 48*m**2.\nAnswer: 2*(m - 4)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6935807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from ipissspissusswpis?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 151?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3968 divided by -128?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 21 = 2*c. Let i(k) = 28 - c*k - k**2 + 29 - 67. What are the prime factors of i(-8)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 20*z = 217 - 28 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-4) + 21\/14. Let h be (-2)\/1 + 8\/2. Sort h, a, -4\/7 in decreasing order.\nAnswer: a, h, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-1)\/(-11)*4290\/780?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1)\/i*i*i*i)**26*(i**(1\/3))**(-2\/15) assuming i is positive.\nAnswer: i**(3508\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*h + 4*x - 15 = 319*h, -2*x = 5*h - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - (-44)\/(-8))\/(2\/(-252)). Let f = s + -68. Let x(a) be the third derivative of a**5\/60 + 7*a**4\/24 + a**3 + a**2. Calculate x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 379*b**3 - 696*b**2 + 2*b + 2. Let u(q) = -758*q**3 + 1392*q**2 - 5*q - 5. Let i(h) = 5*c(h) + 2*u(h). Find the third derivative of i(y) wrt y.\nAnswer: 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5.1. What is the second biggest value in c, 4, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -2 + 34 + (34 - 55).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18963706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 - 3879*v\/2.\nAnswer: -v*(v + 3879)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 344 - 339. Let p be (-6)\/(-1) + 0 + 1. Find the second derivative of -p + 7 + 7*q - 9*q**b wrt q.\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*f**3 + 2*f**2 - 683*f**3 - 150*f**3.\nAnswer: -1038*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -162 (b) 3\/22 (c) 24.247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.3. Which is the second smallest value? (a) h (b) 3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 93450, 186949, 280448, 373947?\n\"Answer: 93499*i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44873757 divided by -44873757.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 1324 - 1192 = 0. Calculate the highest common divisor of q and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 1, r: 1, c: 1, s: 2, v: 2}. What is prob of picking 1 c, 1 s, and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m - m - m**2 - 4*m + 8. Let p be j(0). Is 4 a factor of p\/(-6)*15\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 times -4190.14?\nAnswer: -108.94364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1\/(2 + 1)). Let z = 131\/178 - 1137\/1424. What is the closest to 1 in z, 3\/8, c?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 4434, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -16*z**3 - 2*z**2 - 13*z + 4. Give b(4).\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 10*g**2 + 12*g + 4. Let b be d(6). Solve 0 = 2*q + 2 + b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 30*u + 31. Calculate q(-5).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + r**2 - 3 - 3*r**2 + 8*r**2.\nAnswer: 6*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473, 1354, 2823, 4880, 7525, 10758, 14579?\nAnswer: 18988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, e: 1, s: 1, h: 9}. What is prob of picking 1 h and 2 n?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4335 is divided by 290?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -12063, -1424 in descending order.\nAnswer: 0.3, -1424, -12063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:39 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, e: 6}. What is prob of sequence jee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-4 + 7)*4\/(-6). Let g(d) be the first derivative of 0*d**3 - 1\/12*d**4 + 1\/15*d**5 + 0*d**p + 0*d + 2. Factor g(u).\nAnswer: u**3*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.725 - 12.655. Which is the third biggest value? (a) -7\/41 (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 133*o = -137*o + 1080, -2*p = 6*o - 1070. What is the remainder when p is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 14*q - 9. Let w be v(9). Let o be ((-2)\/(-4))\/(3\/48). Let b be (w\/16)\/(1\/o). Calculate the highest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14 = j, 2*j = 5*a - 9*a + 38. Suppose a*l - 24 - 20 = 0. What is the second derivative of -16*s**5 + 9*s + l*s**5 + 18*s wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 0.2797.\nAnswer: 2.7203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(442\/390))\/(6\/(-6)*(-12)\/20)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 455205796 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/5 - 236*b**4\/5 - 2032*b**3 - 187324*b**2\/5 - 1181518*b\/5 + 275848 = 0. What is b?\nAnswer: -41, -29, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 3*x**2 - 504*x. Let t be y(-24). Is -5\/1466 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.2 (c) -1\/4 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*(-1)\/(-72)*4. Let c = -61 - -61. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932*((-26)\/(-8))\/13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20962860.\nAnswer: 2, 3, 5, 349381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Round -27143860 to the nearest one hundred thousand.\nAnswer: -27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.86 + 26. What is the biggest value in r, -3\/8, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52\/6 - 3\/(-9). What is the derivative of -m**4 - b - 3*m**4 + 7 wrt m?\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -431*o**9\/504 - 411*o**5\/20 + 898*o**2. Find the third derivative of w(i) wrt i.\nAnswer: -51720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 4*b**2 - 5*b**2 - 21.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, q: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -419800075 to the nearest ten thousand.\nAnswer: -419800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 2*a + 6 + 10)*(-38*a + 144*a + 36*a)*(-1 + 2 - 3).\nAnswer: -568*a**2 - 852*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x = 28*x + 12. Let m = 1 + -2. Calculate the lowest common multiple of 5 and (m + -4)\/(1 + x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 11*p**2 + 0*p**2 + p - p + p**2 + (3*p - 4*p + 2*p)*(p + 2 - 2) + 7*p**2 + p**2 - 2*p**2 to u*p**2 + v*p + h and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4127 * 578.\nAnswer: 2385406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41617089?\nAnswer: 3, 157, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(2)*-2 - sqrt(55) - sqrt(55))\/(-1*sqrt(5)*-1) + -2.\nAnswer: -4*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*p - 7 = -22, 4*p - 25 = -w. What is the greatest common factor of w and 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 1. Put -2, 4, x in descending order.\nAnswer: 4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from pjljijt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 9. Suppose 0 = 3*k - 1 + j. Is 20 a factor of (20 - 16) + k + 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1189 - -2753. Suppose -5*y + 0*y - f + v = 0, -1240 = -4*y + 2*f. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(2\/3)\/f))\/((f*f**(-1))\/f))\/(f**(-1\/7)*f**4) assuming f is positive.\nAnswer: f**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2222*w - 134. Calculate the remainder when m(1) is divided by 521.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 120 = -h - 117, -4*x - 13 = -h. What is the lowest common multiple of h and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from -5401.\nAnswer: -5401.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:53 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 30098435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46339268 to the nearest integer?\nAnswer: 6807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 19. Let y = 24 - a. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m + 545226 = -59*m - 20*m. Which is smaller: -4509 or m?\nAnswer: -4509","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.79 + -2.09. Let d = s - 14.7. What is the nearest to -1 in 5, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12217741\/121 or -100974?\nAnswer: -100974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 9*l - 10*l - 7, 5*i = -2*l - 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113096015\/3 + 573115978644749\/15202551. Let l = -55309052339\/20270068 - x. Let f = l - -2732. Find the common denominator of f and -37\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 63 = -141. Suppose -38*q + 40 = -g*q. Suppose -6*u + q*u - 332 = 0. What are the prime factors of u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5399 (b) 2 (c) 3 (d) -0.4 (e) 46\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-10274015.\nAnswer: -1027401.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*q + 19 = 2*m, -5*m + 5*q = -120. Calculate the highest common divisor of 493 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i*m - 10284*i - 16*m with respect to m.\nAnswer: 4*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*k + 36. Suppose k*s - 170 = s. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*v + 36, 0 = -2*n - 3*n + 5. Is -1*2\/(-2)*v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)*d**3)\/(d\/((d*d**(-1\/11))\/d)*d**(-5))*(d**(-4)\/(d**0\/d))\/(d**1\/((d\/((d*d**(-5)\/d*d)\/d))\/d)) assuming d is positive.\nAnswer: d**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303, 14, 2\/19, -46\/7, -0.02 in decreasing order.\nAnswer: 14, 2\/19, -0.02, -46\/7, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -390 - -391. Let u(v) = -v**2 + v - 1. Let l(j) = -3*j**2 - 6*j + 21. Let r(p) = h*l(p) + 3*u(p). Find the first derivative of r(m) wrt m.\nAnswer: -12*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 50*h**3 - 503*h**2 + 33*h - 27. Determine z(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**5\/60 + s**4\/24 + s**3\/3 + s**2\/2 - 2. Let q(p) be the second derivative of b(p). What is q(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 29 + (-143)\/(-13) + -11. Solve 37*m = u*m + 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -2*o - 4*a, -5*o = 5*a - 4*a - 298. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*j + 15*j + 81*j = -89*j. Factor -3\/5*t**3 + j*t + 0 + 0*t**2.\nAnswer: -3*t**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 54 + 558 = 0. Calculate the remainder when 76 is divided by w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (11 + -4)\/(-7). Solve x*i + 12 - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/19823 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 8. Let k(q) = -6*q - 9*q + 0*q + 13*q. Give s(k(z)).\nAnswer: 6*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-4 + (-54737 - 2) + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:13 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(81) + sqrt(242) + sqrt(242) + 2)*5.\nAnswer: 10 + 335*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 712018.5 weeks?\nAnswer: 7177146480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.36867 to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(90)\/(6*sqrt(9) + sqrt(9))) + 1 - ((-5*(sqrt(204) + sqrt(204)*1 + sqrt(204)))\/(sqrt(12) + -6*-3*sqrt(12)))**2.\nAnswer: -3464\/361 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**3*a**(1\/3)\/a assuming a is positive.\nAnswer: a**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.03 - -2.27. Let z = m + -13. What is the closest to -1 in -6, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r + 5. Let q(w) = -w - 1. Let o(d) = 2393*d - 14359. Let n be o(6). Determine n*b(t) + 6*q(t).\nAnswer: t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -198e7?\nAnswer: -198e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 164 - (7 - (97 + -162))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)\/((-13)\/(-1822)). Let y = v - 140. Let j = 8 + -8.2. Which is the second smallest value? (a) y (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(539))*-2)**2 + (sqrt(275) - (sqrt(275) + -1)*-6)**2.\nAnswer: -420*sqrt(11) + 15667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6625*v - 11025 wrt v?\nAnswer: 6625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -534?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 26, 0, 3, 4 in increasing order.\nAnswer: -3, 0, 3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Let b = -20.5 - -20. What is the nearest to 2\/3 in -2, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2983.7751746 - 2675.162222. Let i = -132.6129599 + s. Let w = -176 + i. Round w to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*u + 2040 - 216, -4*r = 5*u - 3651. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254750 (base 9) to base 11.\nAnswer: a6032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35301, 35295, 35289, 35283, 35277, 35271?\n\"Answer: -6*w + 35307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 4*i + 10. Let v be z(7). Suppose -11*y + 13*y + v = 0. Let n be 3\/((3\/(-7))\/(y\/14)). Calculate the greatest common factor of n and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595\/(-45) - (-477 - -442)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 9\/3439, 0.0711, -5?\nAnswer: 9\/3439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 5*i**2 + 9 - 7*i**2 + i - 5*i**3 + 11*i**2 + i**4 as s*i**3 + b + l*i**4 + w*i**2 + p*i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32708418 - 10*y**2 - 32708365 - y + 37*y**2)*(-2*y**2 + 3*y**2 - 3*y**2) to n + w*y + k*y**3 + p*y**2 + g*y**4 and give g.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -3.1259?\nAnswer: -0.93777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 486.248nm?\nAnswer: 0.486248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24519 and 296925090?\nAnswer: 296925090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 1, 2481, -0.5, 2\/77, 4 in decreasing order.\nAnswer: 2481, 4, 1, 2\/77, -0.5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157498252 to the nearest integer?\nAnswer: 12550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, m: 4}. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-20)\/8)*120\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -1251, -1925?\nAnswer: -2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 2*m**6\/15 - 71*m**5\/5 - 11772*m. Determine v, given that s(v) = 0.\nAnswer: 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 7.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3415 + 3?\nAnswer: -3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 25 = 3*f. Let r(u) = u**3 + u**2 + 2*u - 2. Let p be r(0). Sort p, -1, f in decreasing order.\nAnswer: -1, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1292)\/(-340) - (-2)\/10)\/((-2)\/2). What is the second biggest value in -0.34, 5, -2, 2\/3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010010101 (base 2) in base 4?\nAnswer: 22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21242 and 20683?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -3, 4187, 7\/12, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -20*h**2 - 44*h + 46. Let c(i) = -6*i**2 - 15*i + 15. Let v(m) = 7*c(m) - 2*u(m). Let j be v(-9). Let y be 0*(-1)\/2*-1. Solve -r - j*r = y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6297825622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 25942 - 87*m**3 - 25942 + 4*m**3 - m.\nAnswer: -83*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -0.4423, -4, -69\/19?\nAnswer: -69\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -2. Let g = c + -7. Let p = g + -1.28. Round p to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8946288\/312)\/(-118))\/(9\/(3*-1))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1909168 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6270*q - 3 + 3 - 6074*q to r*q + n and give r.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9060*h**2*z**2 - 52*h**2*z - 2*h*z**2 + h*z - 103*h wrt z?\nAnswer: 18120*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 33*a**2 - 2*a + 9. Let i(l) = 33*l**2 - 2*l + 9. Let f(c) = 5*i(c) - 4*p(c). Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 53 - 9. Calculate the lowest common multiple of 126 and 8\/x*(3 + (-3 - 6)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 g when three letters picked without replacement from gxxxxxxxxxxggggx.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -60107 at least -60108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556479022 to the power of 1\/2, to the nearest integer?\nAnswer: 23590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - m - 1 + (1 + 1 + 0)*(3*m - m + 0*m) - m - m + 3*m - 4*m + 3*m - m - 5*m + 2*m - 6*m + (1 + 0 - 3)*(-5 + m + 5) - 3*m - 3 + 3.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1886*i**2 - 3774*i**2 + 1895*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {r: 6, l: 2, t: 3, x: 1, n: 4, o: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 21*h**2 - 47*h + 26. Let g be p(23). Suppose 0 = -c + 4, -5*t - 3*c - c = -26. Solve n - 7 = -w, -7*n + g*n = -2*w + t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46249300 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 15*h + 558 = 0. What is the greatest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85931308 to the nearest 100000.\nAnswer: -85900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 0.2, 0.1, -1, -2\/111, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 42 - (9 + -9 + 5 + -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8963629 litres?\nAnswer: 896.3629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1448*k**2 + 2893*k - 11. Give p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - w - w = 76, 2*w - 2 = 0. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*1 - (-4675)\/595. What is the closest to -0.3 in -19\/4, 4\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 45*i - 176. Let k be s(5). Let y = 61 - 107. Let z = y + 84. Sort k, 0.3, z in decreasing order.\nAnswer: z, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2057) + sqrt(2057)*-6)**2 + -1 - (-3*sqrt(2057)*-1 - (-4*(1 + sqrt(2057)))**2).\nAnswer: 319*sqrt(17) + 84356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -4\/9, -1\/30, 3, -0.03, 0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278539.\nAnswer: 59, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 400\/448 - 15\/(-60)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.79631 rounded to 0 decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(170) + 2*-1*sqrt(170))*5)\/(-4*1*sqrt(10) + sqrt(10) + 4*sqrt(490)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 8)*(1 - 12*l + 3*l - 15*l) to the form n*l + m and give n.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 5. Let o(m) = -7*m - 25. Let q(v) = 5*k(v) - o(v). Let t(d) = 16*d. Give t(q(x)).\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 2*v - 10. Is k(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + m = 71, 0 = -a - 3*m + 6*m + 11. Let z be 287\/5 - a\/35. Suppose -z = -4*d + d. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/512752 and 89\/21900.\nAnswer: 38456400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -243*v - 10. Let m(p) = 486*p + 23. Give -3*m(f) - 7*q(f).\nAnswer: 243*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*k - 2*y = -4, -4*k - 3*y = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114420983.\nAnswer: 19, 37, 47, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from tttgtgbbbtggt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115621.9 or 25\/21?\nAnswer: 25\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7373055*n*p**3*r**2 - 2*n*r**2 + 687602*p**2*r + r**2 wrt p?\nAnswer: 44238330*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 198\/(-66) + 0\/1. Let x be 16\/(20\/g + 7). Is 234\/5 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -6, -1 + 11 = u - 5*b. Suppose -2 = -g - u. Let d(l) = -6 - g*l + 6. Let f(z) = z**2. What is d(f(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/294*9 + (-8)\/28?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.473 (c) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*i + 31 = -4*i, -5*y + 3*i = 13. Suppose 4*u - 5 = -33. Is u at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958 is divided by 2940.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d**4 - 2*d + 6 - 13*d**2 + 0*d + 12*d**3 + 3*d. Let h(a) = -a**4 + 2*a**3 - 2*a**2 + 1. Let v(f) = -6*g(f) + 39*h(f). Factor v(p).\nAnswer: -3*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9958 + 16286 = 113*g for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236846 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*x = -8*x + 7, 5*y = 2*x + 12. Suppose y*i + z - 3 = 2*z, -2*z = -i + 3. Let b(o) = -2*o + 3*o - 3*o. Let r(v) = -v. Calculate i*b(g) - 3*r(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*g**2 - 5348026*g - 16043916.\nAnswer: -2*(g + 3)*(9*g + 2673986)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148 * 1878.\nAnswer: -277944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 1167328610.\nAnswer: 1167328611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 103\/5. Let u = 49397 - 49400. Which is the second smallest value? (a) 0.3 (b) u (c) i (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*p - 390069 = 0, -4*h + 4*p + 32902 = -279146. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6511203 * 5\nAnswer: 32556015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 4:19 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 + 112 = 5*y, 2*v + 5*y - 26 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*v + 74, 9*v = 6*v + 2*g - 130. Let y = 991 + v. Does 53 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3, -868, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.89951 - -10.9. What is j rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19912926.3*-1.\nAnswer: 19912926.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 6\/35, -5, 2, -2 in decreasing order.\nAnswer: 4, 2, 6\/35, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p - 326 - 593 = -175 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 + -4.91. Let t be -3 - (-3 + 2 + -10)\/4. What is the nearest to t in 0.4, 1, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165\/6*1040\/50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 191 + 338?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170889 - -170887. Let q(r) = r**3 - 6*r**2 + 5*r - 8. Let o be q(6). Which is the closest to -0.1? (a) o (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*s, -7655*s + 38 = -5*k - 7649*s for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25457340.801929 - -25457294. Let x = -44.30192973 - y. Let b = 2.5 - x. What is b rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = 2*h - 3*s, 0 = -3*s + 9. Suppose 0 = c - 4*j - 11, 0*j + 38 = 5*c - h*j. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1544 - -1547. What is the fourth smallest value in 0.64, 5, a, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 62*s**2 + 30849414680*s - 30849414680*s.\nAnswer: -62*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/5)*d)\/((((d\/(d*d*d*d*((d**1\/d)\/d)\/d))\/d)\/d)\/d)*(d*d**(1\/10))\/((((((d\/d**(-2\/23))\/d)\/d)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(2119\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*c = 4, 5*x - 7*c - 35 = -2*c. Solve 4*v + x*z - 7 = 16, 2*v + 4*z - 14 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 422174 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -154, -137, -116, -91, -62, -29?\n\"Answer: 2*r**2 + 11*r - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -6. Differentiate 6 - 15*m**2 + f*m**2 - m**2 - 12*m**2 wrt m.\nAnswer: -46*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 47, 7, 5, 1, -20, 0 in ascending order.\nAnswer: -54, -20, 0, 1, 5, 7, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {k: 1, d: 3, r: 13}?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 866492719 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1941496067.\nAnswer: 7, 17, 59, 276527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1320 = 10*q - 90. Let v = -121 - q. Let j(d) = -8*d + 2. Give j(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 11. What is the remainder when p is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 2, f: 3}. Give prob of picking 2 j and 1 f.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 8*t + 8. Suppose 14*r - 8*r = 48. What is y(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -373 (base 10) to base 5.\nAnswer: -2443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 24 + 24 = 0. Let j(c) = p - 13 - c**2 - 3*c + 5*c**2 - 3*c**2. Give j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*16*13\/2912.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46559\/2356 + 7\/589. Is -20 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -45214 and 0.04477.\nAnswer: -45213.95523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y + 32. Let p be 0 - 6\/3*y. Suppose 0 = -5*w + 2*u + 18, p = 3*w + 2*w - 4*u. Solve -4*c + 16 = -2*t - 0, -5*t + 16 = w*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -228*w**2 - 2031*w + 250. Calculate r(-9).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131276086?\nAnswer: 2, 223, 294341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40004777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2\/11, -4, 1\/4.\nAnswer: -4, -1, -2\/11, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h**3 - 866*h**2 - 8*h + 1. Let r(b) = 12*b**3 + 863*b**2 + 10*b - 1. Give -5*m(d) - 4*r(d).\nAnswer: 7*d**3 + 878*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39963.8 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(170)*-4)\/(sqrt(20)\/(3*sqrt(2))))**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = -0*g. Let n = g + 9. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**6\/60 + 4*i**3\/3 + 9*i**2\/2 + 5. Let y(h) be the second derivative of x(h). Differentiate y(z) with respect to z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9461 + 59\nAnswer: 9520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 95\/2457?\nAnswer: 95\/2457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 28, 48, 90, 160, 264?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2519 - -2529. Calculate the least common multiple of 5 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + 101 + 12895*v - 12895*v + (3 - 3 - 2*v)*(v**2 + v**2 + 2*v**2).\nAnswer: -6*v**3 + 101","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 + -1.6. Let y = -5.8 - d. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g*x**4 + 939795*g*x**3 - 2*g*x**2 - 7805*g*x - x**4 + 3*x**2 - 92*x + 2 wrt x?\nAnswer: -72*g*x + 5638770*g - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.672 + -0.272. Which is the second smallest value? (a) -1\/3 (b) 4 (c) h (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 21. Suppose p = 2*j - 4*q, 3*j + 0*j - 12 = 4*q. What is the second derivative of -w - 2*w - 2*w**2 + 10*w**2 + j*w wrt w?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kdkkd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67676, -68110, -68544?\nAnswer: -68978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 40292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110011101011001 (base 2) in base 15?\nAnswer: -31a1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2 - v + 1. Let k(i) = 60*i**3 - 30*i**2 + 30*i - 30. Suppose 0 = -3*w + 5*q + 90, 225*q = -3*w + 227*q + 90. Calculate w*s(y) + k(y).\nAnswer: 30*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7024, 7071, 7118?\nAnswer: 7165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 6*r + 2. Suppose 12 = -2*a + 8*a. Suppose -a*m = 4*m - 180. Calculate the remainder when m is divided by p(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30322203 (base 4) to base 5\nAnswer: 3143044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1055*c + 46. Let q(r) = 42*r**2. Determine o(q(l)).\nAnswer: -44310*l**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -45214337 divided by 139?\nAnswer: -325283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 154, -5 in ascending order.\nAnswer: -5, 2, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 349*j - 406*j + 4*j**2 + 28*j**4 - 1 + 251*j wrt j?\nAnswer: 336*j**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1578974373*r - 1528765588?\nAnswer: 1578974373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -33. Let b(h) = h**3 + 8*h**2 - 11*h - 6. Let a be b(-9). Let x = a - -2. What is the highest common divisor of x and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20892*n**2 - 22813*n wrt n.\nAnswer: 41784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 39*r - 446. Calculate q(49).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (3 - -2) - -21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 441259, 1765172, 3971725, 7060912, 11032727, 15887164, 21624217?\n\"Answer: -d**3 + 441326*d**2 - 58*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/2)*f)**(-2\/19))**1*(((f*f\/(f*f\/(f**(-2)*f))*f)\/f)\/f)**(-8\/5)*(f*f*(f\/(f**(2\/5)\/f))\/f)\/(((f\/(f*f\/f**(2\/7)*f)*f)\/f)\/f) assuming f is positive.\nAnswer: f**(5697\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-9) + 2288\/6 + -4. Suppose -5*t + 18 = 2*y, 5*y + 2*t - 14 = 5*t. Suppose 5*f - y*f + 2*g = 85, 2*g = 5*f - v. Is 31 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c**2 - 3*c - 29. Let w(z) = -434*z**2. Calculate t(w(r)).\nAnswer: 2260272*r**4 + 1302*r**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25641 (base 7) to base 3.\nAnswer: 100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + r)*(-2*r - 1 + 1)*(-314*r + 79 - 79).\nAnswer: 628*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8, -17257 - 16462 = 3*t - y. Round t to the nearest one hundred.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 - 2 - (5 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/54*(2\/3)\/(-1)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2392525624 divided by 2?\nAnswer: -1196262812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + -1002021?\nAnswer: -1001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-398)\/(-15) + 8\/10. What is the greatest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**5 - 10965768*r**3 - 794476*r - 32?\nAnswer: -40*r**3 - 65794608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 7. Let z(c) be the first derivative of -6*c**3 + 139. Determine g(z(n)).\nAnswer: -18*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 12:06 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 5157.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*n - 7, 19 = -3*x - 2*x - 2*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 11*q**2 + 18*q - 3. Let c be h(-9). Let o be (-3)\/6*-6 + c. Let k(d) = d + 3. Determine k(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*(g\/(g*g\/((g*g**(-11))\/g)*g))\/g)\/g)\/g)**(-3\/13) assuming g is positive.\nAnswer: g**(42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/6474000 and -97\/448200.\nAnswer: 58266000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10030875.\nAnswer: 3, 5, 23, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95491031 rounded to three dps?\nAnswer: 0.955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3797055 divided by -759411\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -120507 and -0.094.\nAnswer: -120507.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 464441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 0*d**2 - 101 + 33*d + d**2 - 7*d + 13*d + d**2. Calculate the remainder when j(-31) is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247696 is divided by 2714.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 1. Let b(k) = 3*k - 2. Let f(d) = 4*b(d) - 3*y(d). Is f(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 18. Let x be y(-6). Suppose h = -x*h. Is h\/3 - 2 - -339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/20)\/(60\/(-100)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 1600548.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 89.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**7\/240 - 23*y**5\/60 + y**2 - 28*y. Let d(m) be the third derivative of g(m). Let w(k) = -6*k. Calculate w(d(b)).\nAnswer: 126*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y**3 - 263*y**3 - 333*y**3.\nAnswer: -624*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 5*d - 21. Let x be k(9). Suppose -5 = -2*o - 1. Suppose -o*a + 5*h + 25 = 0, 3*h - x = -2*h. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 790136779 by 23.\nAnswer: 34353773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -2. Let x = -12 + r. Which is the closest to 1? (a) -2\/13 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 13. Let y = -71.05 - g. What is the biggest value in y, 2\/11, -1\/2, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:19 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 87011 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47900000 rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 4*h**4 + h**4)*(2*h - 4*h + h) + 2*h**5 - 4*h**5 + 3*h**5 - 6*h**5 + 6*h**5 - h**5.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, -47, -1074, -2869, -5510, -9075, -13642?\nAnswer: -19289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) 5 (b) 1.2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 201 = -6*g. Let p(u) = -56*u + 9. Let k(z) = 6*z - 1. Let a(f) = g*k(f) + 4*p(f). Let o(v) = 11*v**2. What is o(a(b))?\nAnswer: 704*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2904) - (sqrt(264)\/(sqrt(55)\/sqrt(5)) + sqrt(24)))\/((4*sqrt(144))\/sqrt(12)*-5).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4873726127 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -25. Calculate the remainder when 46 is divided by l\/(-26) - 132\/(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 465*b**4 - 5*b**2 + 0*b**3 + 463*b**4 - 3*b**3 to p*b**2 + x*b + s*b**3 + w*b**4 + j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1 + 10\/4). Suppose 76 = 6*h + 406. Let w = h - -51. Put w, -3, x in descending order.\nAnswer: x, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647834.8632 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/25817 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 r when three letters picked without replacement from {g: 3, e: 3, o: 4, v: 6, r: 3}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 3*w**2 + 22*w - 17. Let n be r(6). Solve -n*a + 5*a + 6 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91 (base 16) to base 3.\nAnswer: -12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*y + y + 116 = 0, 0 = 2*o + 2*y + 58. Let c = o - -45. Calculate the greatest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - 69*o + 46. Let y be j(24). Let k = y - 676. Calculate the remainder when 1\/(502\/250 - 2) is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29794.047 to the nearest one hundred.\nAnswer: 29800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)*l**13)\/(l**9*l*l*l**17) assuming l is positive.\nAnswer: l**(-103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200\/105 + -11 - ((-49)\/14 + 394\/(-28)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 times 143?\nAnswer: 88231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14) + 180\/42. Suppose 3*f + x*u + 3 = -0*f, 0 = -3*f + 4*u + 21. Suppose 0 = d + f, -53 = -r - 3*r - d. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -228669, -457306, -685931, -914544, -1143145, -1371734, -1600311?\n\"Answer: 6*u**2 - 228655*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1588268 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*m**2 + 13*g**3 + 908912*g*m**4 - 13963*m wrt m?\nAnswer: -4*g**3 + 10906944*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 78031614.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2101913*b**4 - 59494*b**2 - 7?\nAnswer: -50445912*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -25.36. Let v = -0.7 + y. Let i = v + -0.04. Which is the nearest to -0.1? (a) 1 (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 - 13*t + 27*t + 573 - 18*t.\nAnswer: -4*t + 392","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3497 + -1384. List the prime factors of p.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4691.531 tonnes to nanograms.\nAnswer: 4691531000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 4506353 + 4506353. Let v(x) = 2*x**2 - 28. Calculate v(y(k)).\nAnswer: 8*k**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 + 3 = -2*n, 5*n + 56 = 4*t. Let c be (-7)\/(-1) + 16\/n. Suppose c*i - 4*q = 669, 28 + 121 = i + 3*q. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*d - 1, -4*d + 11 = -6*d - 3*f. Let n(y) = -1266 + 1266 + d*y. Let b(w) = 29*w**2. Determine b(n(t)).\nAnswer: 116*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - w**2 + (-53 + 46 + 30)*(-3 + 3 + 10*w**2) as x*w + k*w**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*s**2 - 128*s + 128*s + s**6 wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*(m*m**(3\/2)*m*m*m)\/m)*m*m**6)\/(m\/m**1*m)**(-1\/5)*((m*((m\/(m*m*m**(-2\/5)*m))\/m)\/m*m)\/(m*m**(1\/5)*m*m))**(-50) assuming m is positive.\nAnswer: m**(2417\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46377587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.537 + -0.037. What is the nearest to -2 in y, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + 4.03. Let p = t - 4. Let s = -4.4 - -4.8. Is p at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8940 = -351*l + 53*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67965631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4374 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, k: 2, j: 1, e: 3, c: 3, u: 4}. Give prob of sequence fccj.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84.63 + 84.5893. What is the second biggest value in 0, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588 and 648.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2651004086, -2651004087, -2651004088, -2651004089, -2651004090?\n\"Answer: -z - 2651004085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvceevevccccqee. Give prob of sequence vcce.\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38204 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**4\/6 + 53*j**2. Let a(d) = 21*d**2. Give b(a(c)).\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 13220?\nAnswer: 13232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*n + j + 1048, 3*n - 5*j - 762 = 0. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 24 = 5*h - 17, 3*h - 7 = -2*y. Suppose 3*g = -f + 82, 2*f - 63 = -h*g + 99. Is 28 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.00731 - -0.00743317. Round v to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(-2)*s)))\/s**(1\/8))\/(s**1\/s)**(-13)*(s**(-4)\/s*s*s**(2\/25))\/(((((s\/((s\/s**(-7))\/s))\/s)\/s)\/s)\/(s**(-1\/3)\/s)) assuming s is positive.\nAnswer: s**(1573\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 35c498?\nAnswer: -35c49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2504735735.\nAnswer: 5, 500947147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k + k**2 + 0 + 1\/6*k**3 + 1\/12*k**4. Let p be v(-2). Which is the closest to 2\/7? (a) -2\/11 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3510 = -92*c - 43*c for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -1\/60*u**5 + 0*u**4 + 29*u**2 + 0*u + 0*u**3 + 0. Let l(z) = 58*z - 2. Calculate l(p(r)).\nAnswer: -58*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 1 + 1)*(-3*l**2 - 2*l + 2*l) + (3*l**2 - 4*l**2 - l**2)*(5*l - 9*l - 19*l) - 7*l + 7*l - 2*l**3.\nAnswer: 47*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (5 - 1) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24.06 and -32.342452.\nAnswer: -8.282452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2003 and 602903?\nAnswer: 602903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1940 + 7*m + 1917 - 5*m.\nAnswer: 2*m - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x - 28 = -63*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1 - 4) + 105\/30. Let x = 41 + -37. Sort -5, x, -3\/8, w in decreasing order.\nAnswer: x, w, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3179 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -140, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 275 = -q - q, 5*q + 3*o - 693 = 0. Let p = q - 51. Does 29 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9385 to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899923419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/20 - n**4\/12 + 7*n**3\/2 + 45*n**2\/2 - 187*n. Determine t, given that d(t) = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 119221631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5973?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o*(o\/(o\/(o**7\/o)*o)*o*o)\/o)\/((o*o*o*o**(-3))\/(o\/o**(3\/5))) assuming o is positive.\nAnswer: o**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-7296)*16)\/(12\/8).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j + 3*r - 10, 0 = 4*j - 5*r - 20. Suppose -37 = -j*c - 2*v, 5*v = -4*c - 8 + 41. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2062300 - -2.\nAnswer: -2062298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300456129.\nAnswer: 3, 2027, 49409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 3*s**2 + 2*s - 2. Let g be b(3). Solve -5*h - g = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*b + 22781 - 22823, -5*t - 2*b = -145 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -11*m + 6. Let h(s) = 65*s - 35. What is -6*h(q) - 35*z(q)?\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7026 and 276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 23*h - 81. Let w be k(7). Let p = -77 + w. Solve -p*y = -5 + 2, 2*v - 5*y = -15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Let x = 8.3 + -7.3. Which is the nearest to x? (a) -4 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22530614, -22530610, -22530604, -22530596, -22530586, -22530574?\n\"Answer: o**2 + o - 22530616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(4))\/sqrt(3) + sqrt(10) - sqrt(100)\/(sqrt(30)\/sqrt(3)))\/((3*sqrt(15))\/sqrt(3)*5)*1.\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -102, -341, -720, -1239?\n\"Answer: -70*h**2 - 29*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12 > -345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 383 + -371. Suppose 4*d - 38 - 18 = 0. Calculate the least common multiple of f and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6535771 * 5\nAnswer: 32678855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 + 465 + ((-20)\/(-248))\/(2\/(-76))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -395, -784, -1171, -1556, -1939, -2320?\n\"Answer: o**2 - 392*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -46. Let d = 21 - 15. Suppose s - d*s = -b. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229122431?\nAnswer: 199, 1151369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:42 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 894935 by -5.\nAnswer: -178987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1707898, -3415795, -5123692, -6831589, -8539486?\nAnswer: -10247383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 20 (b) 2.5 (c) -496\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(6\/(-4))*108. Suppose -35 = d + 69. Let f = i - d. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/2)\/(x**(-10\/3)*x) assuming x is positive.\nAnswer: x**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.00013 - -8. Round r to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 5*p**2 + p + 2. Let x be a(-5). Let s(t) = 2*t**2 + 4*t. Determine s(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 109. Let o(m) = 3*m - 210. Give 5*c(t) - 2*o(t).\nAnswer: 4*t - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12299, -24586, -36871, -49154, -61435?\n\"Answer: y**2 - 12290*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2630 + 2628 - 7873 - 36*o + 2615.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*y - 25 = -174*y. Let m(v) = -v**2 - 22*v - 7. What is the units digit of m(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59854, 120222, 180590, 240958?\n\"Answer: 60368*r - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + 2*y**5 + 16*y**5 + (y**2 + 3*y - 3*y)*(-2*y**3 - 2 + 2) + 5*y + y**5 - 5*y - 7*y**5 - 6*y**3 + 6*y**3.\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 3, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 3*i - 3. Let y(g) = -5*g**2 + 8*g - 8. Let h(x) = 8*n(x) - 3*y(x). Let s(p) = -15*p**2. Determine s(h(k)).\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 49666.27 seconds?\nAnswer: 49666270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvav when four letters picked without replacement from avavvav.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5356 = -5*i - 3*w, 1060 = i - 6*w + w. Suppose i = 6*s - 94. Suppose -s = -3*r - 2*n + 425, 0 = -r - 4*n + 193. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-26))\/(b*b**(2\/13)))**37)**(-6\/5) assuming b is positive.\nAnswer: b**(15096\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/241918 and -21\/33368?\nAnswer: 967672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1679982486, 1679982487, 1679982490, 1679982495, 1679982502, 1679982511, 1679982522?\n\"Answer: l**2 - 2*l + 1679982487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**7\/14 + 313*u**5\/10 + 616*u**4\/3 - 20*u - 4. What is the third derivative of c(f) wrt f?\nAnswer: 180*f**2 + 3756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2923.417 tonnes in grams?\nAnswer: 2923417000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10.56, -3\/8, 1?\nAnswer: -10.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 8*g - 1. Let i(f) = 7*f**2 + 17*f - 4. Let p(s) = -2*i(s) + 5*k(s). Calculate p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i - 213 + 29*i - 51*i.\nAnswer: i - 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.496, 0, 0.02, -14 in descending order.\nAnswer: 0.496, 0.02, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -84 + 153 - 19*z - 78. Let s(h) = -10*h - 5. What is -4*f(k) + 7*s(k)?\nAnswer: 6*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 5. Give q(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or -1042?\nAnswer: -1042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -16*f**2 + 20*f + 21. Let z(b) = 14*b**2 - 19*b - 19. What is 5*d(k) + 6*z(k)?\nAnswer: 4*k**2 - 14*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.024 - -0.024. Let q = -33.908 - z. Round q to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073*o = -2953*o + 101520 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555225 times -3.7?\nAnswer: -5754332.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g - 5*g - 4*g + 1. Suppose -d + 5*o + 19 = 2*d, 2*d - o - 8 = 0. Suppose b - 14 = -5*p, p - d = -3*b + 11. Calculate l(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6190120 and 4.\nAnswer: 6190124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 199, 474, 861, 1360, 1971?\nAnswer: 2694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/12 + 25\/6. Suppose -z + 22 = -m*c, -7*z - 3*c - 7 = -3*z. What is the units digit of z - (4 - (1 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000476032536 to six dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 3. Let w be 0 + 5 - (-3)\/(-3). Let p(d) = -3*d + 10. Let y be p(w). Determine q(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4219 + -2766. Is 36 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 169, 146, 125, 106?\n\"Answer: t**2 - 26*t + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (263 + -240 - ((-3 - -4 - 2) + -8)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6560286 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2340371.\nAnswer: 2\/2340371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*r - 20, -4*p - 2*r + 5 + 3 = 0. Suppose 3*y - 12 = -3*c, 2*c + 4*y - 6 = 8. Solve l = -p*l + c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 6*b + 4*b)*(1 + 3 - 1) + 1 + 17*b - 19*b + 5*b.\nAnswer: 9*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 m, and 1 l when three letters picked without replacement from {l: 1, e: 1, t: 1, m: 2, q: 1, s: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 618339 to the power of 1\/2, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 566.\nAnswer: 3962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103 and 2575.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 3*q + 24. Suppose -10*o - 19 = -r - 6*o, -39 = -3*r + 3*o. Solve -2*s - 5*y = -q, -3*s - r = -0*s - 4*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 514, 778, 1150, 1630, 2218?\nAnswer: 2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -24.72024\nAnswer: 123.6012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1035235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3, 0.1, -0.4, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:52 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 15*d**2 - 31\/24*d**4 + 0*d + 0 + 0*d**3. Let u(v) = -7*v**2 - v**2 + 9*v**2. Give u(z(k)).\nAnswer: 961*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 31 + 0 + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 7501*w**4\/12 - 2*w**2 - 2*w. Let z be h(-2). Round z to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/2 - 18*c**4 - 7326*c**3 + 134784*c**2 + 28035072*c = 0.\nAnswer: -78, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7381136*p - 3*h - 12 = 7381133*p, -5*p - 5*h = -70 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004963 is divided by 502273.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -26 - (86 - 77) - (-1 + -4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s + 1. Let y(k) = -1906*k + 2523. Let i(d) = 6*b(d) + y(d). What is the first derivative of i(p) wrt p?\nAnswer: -1846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34015 + 8625. What is f rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:59 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -94*o + 1414. Give n(14).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-20))\/(4\/50)*4. Suppose -4*k + i*m = -3, 0 = -6*m + 3*m + 3. Suppose 4*p - k*g + 74 = 16, -4*p + 3*g - 61 = 0. Put 2, 0, p in ascending order.\nAnswer: p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 503, 8597, -2?\nAnswer: 8597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -7\/6*o**4 + 0*o**3 + 0*o**2 + 0 - 2*o + 1\/20*o**5. Find the third derivative of j(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -100101011?\nAnswer: -100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.12911 (c) -58 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6760079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46422160 divided by -2321108.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 845, 1687, 2529, 3371, 4213, 5055?\n\"Answer: 842*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 895*p + 330*p + 239*p + 326*p - 8*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 239 + -52. Suppose 0*y - 3*o = 5*y - k, 2*y - 81 = 5*o. Calculate the remainder when y is divided by (-16)\/(-56) - 136\/(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2820 and 988920.\nAnswer: 46479240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 4:40 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -63*w + 46 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (sqrt(208) - sqrt(208)*2)*-2.\nAnswer: 1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*n - 2*c - 28, 56*n - 51*n = 3*c - 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(-15) + -1)\/(12\/(-90) + (-216)\/(-120)).\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47445 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 433123185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y. Suppose -2*i + 3*i = 2. Suppose 0 = -i*o - o. Let s(d) = 0*d - d**2 + o*d. Calculate t(s(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1293330 + 103330. What is r rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 757 divide 452574485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1390 - 812. Let x = 286 - c. Let k = -41 - x. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119661*b**3 - 59841*b**3 - 59818*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 169097*q - 67670*q + 63572*q - 6. Let v be u(-6). What is v rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000163976 rounded to six dps?\nAnswer: -0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2823*q. Let m(z) = 6558*z**2 + 2*z + 2. Give m(g(k)).\nAnswer: 52262859582*k**2 - 5646*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 271278 and 83967.\nAnswer: 3526614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*v**3 - 135*v**3 + 2188 - 56*v**3 - 2188 + 2*v**2 to the form a*v**2 + c*v**3 + w*v + g and give c.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*w = 28, 6*k + 147243*w + 56 = 147239*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 8. Let d(c) be the first derivative of 2*c**2 - 17*c + 286. Calculate 6*d(a) + 11*x(a).\nAnswer: 2*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 1 (b) -2 (c) -0.3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/97 (b) -2 (c) 0.4 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) 0.16 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2368 = -4*p, -792 = -5*p + 2*d + 2135. What are the prime factors of p?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4269801*l**4 - 1395521*l?\nAnswer: 51237612*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 + 28560*m + 57140 = 0 for m.\nAnswer: -2, 5714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105 + 113 + 111 + 1802*d - 331 to g + c*d and give c.\nAnswer: 1802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + 0) - 35\/((-56)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.7 + -3164.8.\nAnswer: -3159.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -12*x**2 - 13*x + 1. What is i(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Let i = 0.07 + -3.07. Let h = i + 4. Which is the closest to h? (a) -2 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 94123 (b) 2\/3 (c) 3 (d) 289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Suppose 3*s = 4*f + 92, p*s - 164 = -3*f - 33. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -60 + 18*r**3 - 117\/2*r**2 + 0*r. Find the second derivative of a(y) wrt y.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*t - 55 = -16, t = -4*p + 211 - 243 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(7\/2)*k\/((k**2\/k)\/k*k*k))**(-16))**0)**23 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*z - 13 = 0, -z + 2*z - 9 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 102, 0.1, 140, 0.9, 0.045?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.5 and 16\/27123 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4165994*a**2 + 14128*a + 35320. Let m(c) = -1769*c**2 - 6*c - 15. What is -3*i(l) - 7064*m(l)?\nAnswer: -1766*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (-2 - -22 - -26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - (4 - 9))*-2. Let z(y) = -1 - 5 + 16*y - 3*y. Let r(q) = 6*q - 3. Let g(p) = -5*r(p) + 2*z(p). What is g(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -0.3 (c) 0.04 (d) -0.2 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*d + 39. Let i = -14 + d. Let c be 13 - (4 + (-1 - 0)). Solve -i*p + 0*p + c = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-105))\/(3\/(-24 + 3)). Let v(z) = 3*z + 0 + 1 - 2. What is v(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -53?\nAnswer: 15\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 1072063236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {b: 2, z: 4, u: 4, h: 2, d: 1, i: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, -15, 356 in descending order.\nAnswer: 356, 2, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 410881327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21650050 = 13*f + 6440050. What is f rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134100?\nAnswer: 2, 5, 11, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -109. Let m = o - -259. Let f = m + -159. What are the prime factors of f?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15517785140 to the nearest 1000000.\nAnswer: 15518000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**2 + 8*x + 39. Let o be g(-7). Let s = 680 + o. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*q - 2007 - 2487 = 191*q for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 56*a - 97. Let u be m(-6). Let r = u - -611. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (52\/(-3 - 1))\/(-1). Suppose -7 + j = 2*g. Find the first derivative of y**2 - 21 + 6 + y**2 + g*y**2 wrt y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-864)\/(-84) - (-44)\/238)\/(6\/105)\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6) - 5\/6 - ((-17875)\/130 + 183)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 61*b + 129. What is the least common multiple of 132 and d(26)?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52825 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 71*s**2 + 8*s**3 - 36*s**2 - 36*s**2. Calculate g(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26521 times 377\nAnswer: -99.98417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 44400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64)\/(-12) - 1\/3. Suppose -4*z = k - 19, -b*k - 6*z = -z - 35. What is the smallest common multiple of k and (24\/(-15))\/(2\/(-5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631945 - 631945 + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 356621024 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 258180?\nAnswer: 258177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/44 and 119\/110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1448*-24.\nAnswer: 3.4752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -831, -986, -1141, -1296, -1451, -1606?\nAnswer: -1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 = 5*k + 2, -2*l = -2*k - 2. Suppose l = -2*n + 6. Suppose -d - n*d - 9 = 0. Which is the third biggest value? (a) 1\/2 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/7))\/(i**(-5)\/i))**(8\/3) assuming i is positive.\nAnswer: i**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 543347, 543769, 544471, 545453, 546715?\n\"Answer: 140*a**2 + 2*a + 543205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 23*k**2 - 297*k + 823. Calculate z(32).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/88 + -203*(-6)\/1560\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 - d. Let h(s) = -5*s**3 + 5*s**2 + 2*s - 22. Calculate -2*g(p) - h(p).\nAnswer: 3*p**3 - p**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 80152303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 14*x + 3. Calculate s(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1142 > 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -80. Solve -2*r = h + 9, 7*r - y*r + 35 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 368735202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -151*c**2 + 2*c + 163*c**2 - 2*c. Let q(w) = 7*w. Calculate i(q(o)).\nAnswer: 588*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-450)\/(-175) + 6\/14. Let c be (-28)\/(-56)*(4 + k - -1). Calculate the highest common factor of c and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -129.8638 from -0.031.\nAnswer: 129.8328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -a82a6 (base 16) to base 8\nAnswer: -2501246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -506, -502, -490, -464, -418, -346?\n\"Answer: t**3 - 2*t**2 + 3*t - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -276 < 5604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgpgddddggqdgqpqddg. What is prob of sequence ddd?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/((x*x*x\/(x*((x\/(x**1\/x)*x)\/x)\/x*x*x)*x)\/x))\/x)*x*x)**41\/((x\/x**3)\/(x**7\/x))*(x**11\/x**(10\/9))**47 assuming x is positive.\nAnswer: x**(4993\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let c be b(-2). Suppose -c*g + 32 = 5. Suppose -4*f + g = -3. Solve -t - 12 = f*h, t + 17 = -5*h - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/4))**(-8\/7)\/(c\/(c*c\/c**(2\/53)*c)*c**(4\/3)))**(-3\/13))**25 assuming c is positive.\nAnswer: c**(6350\/4823)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 6. Let f be i(3). Suppose 0*g + 2*g - 64 = f. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**2 - 9*q - 12. Let b(r) = r**2 + 1. Let m(t) = a(t) + 4*b(t). List the prime factors of m(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w + 20 = 0. Determine a so that -9*a**3 - 4*a**2 + 2*a**3 - 4*a**w - 3*a**3 = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -428, -862, -1296, -1730, -2164?\n\"Answer: -434*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3\/5 + 59916*n**2\/5 + 35822391*n\/5 - 14376894 = 0. What is n?\nAnswer: -19355, -619, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - -4) + 2*1. Let c be ((-10)\/(-3))\/(1\/y). Suppose c = 5*i - 0. Solve 4*w = -3*r - 7, -35 = i*w - w - 5*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12243 is divided by 225.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2726504*s**3 - 183625*s.\nAnswer: 16359024*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6418 - -6414. Sort -0.2, -1.94, -0.5, f in decreasing order.\nAnswer: -0.2, -0.5, -1.94, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107.34 and 18.\nAnswer: 1932.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -324.07 - -324. Which is bigger: x or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s**2 - 16*s**2 + 21*s**2 + (-4 + 4 + 23*s)*(-4*s - 3*s + 4*s) - s**2 + 3*s - 3*s in the form l + r*s + o*s**2 and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-24))\/(891\/5544)*18\/10.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 747076.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -17*j + 66. Suppose w - j*r + 11 = -1, -3*w = 5*r - 6. Round w to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47253.4113 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58154090 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c9 (base 15) to base 9.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 180 = 30*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -32.83. Let b = 0.1 - h. Let j = -0.18 - b. Round j to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(-34)\/(w\/(w\/(w*(w*(w*w\/(w\/(w\/((w**(-6)*w)\/w)*w)))\/w)\/w))*w*w*w\/(w\/w**(2\/5))) assuming w is positive.\nAnswer: w**(-397\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 5*s - 7. Let f be k(-7). Let w = 3 - f. Is (-6 - w)\/((-1)\/3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 2*q - 1219, 3*q - 1800 = -2*t. Suppose -q - 798 = -4*n. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2855448 and 1992.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9739669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076517.1 rounded to the nearest 100?\nAnswer: 1076500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 145*s + 1720. Give p(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1703\/(-39) - (-2)\/3. Let b = k + 88. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -16*o - 9 + 167 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -335261295*l**5 - 1307*l**2 - 28828 wrt l.\nAnswer: -20115677700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-592)\/(-40) + 2 + (42\/(-15) - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 21366?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 4*f - 3*f - 3*f - 1. Let j(p) = 3*p**2 + 2*p**2 + 4 - 6*p**2 - 6*p. Let z be j(-6). Determine n(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -32050610?\nAnswer: -32050615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -105216\/809 and -129 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -0.3, -52, -7\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 18*r - 22*r + 8 = -35*r, r - 24 = -3*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 73217090 - 73217090 + 24*o**2. Let p(k) = 323*k**2. Calculate p(x(j)).\nAnswer: 186048*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 + n. Let i(o) be the second derivative of o**3\/2 - 102*o. What is l(i(a))?\nAnswer: 45*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167965 is divided by 2337?\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(2205\/(-357))*36\/3?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 5\/((-5)\/3) - -26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*t + 5*d, -2*t = -3*d + 9 - 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1204 - 344. What is the remainder when u is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30753*y**3 + 23*y**2 + 3*y - 2 - 30753*y**3 + 225*y**4 - 21*y**2 to z*y**3 + f*y + l*y**4 + h + g*y**2 and give l.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(468) + -6*1*sqrt(468) - (-2*(0 + sqrt(117)) - (sqrt(637)*-1 + sqrt(13) + sqrt(13) + 1 + -1)).\nAnswer: -29*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 631573\/50196 - -5\/4183. Find the common denominator of w and -77\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m + 5. Let t = 1 + -8. Let h = 9 + t. Let y be r(h). Is -4 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 - 25 = 5*o, 0 = -4*h - o + 49. Solve -2*p + p + 5*c - 26 = 0, 2*p + 3*c = h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*a + 2 = 0, -4*u - a + 2*a + 18 = 0. Suppose -z - u*z = -10. List the prime factors of 29\/2 - 1\/z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -43.1405 (b) -2 (c) 5 (d) -0.2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -3*p**5\/20 + 7*p**4\/12 + 3*p. What is the third derivative of c(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -8.83. Let b = v + -0.03. Is 0.6 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10496 by 82.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*x + 69*x = -632. Let k = x + 952\/3. Suppose 1\/3*o**2 - 5\/3*o + k = 0. Calculate o.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microsecond in nanoseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 187280*o**2 - 2*o - 187272*o**2 + 374569*o**2.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000034938205 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 32 = -6*s - 2*x, -4*x - 201 = -s - 205 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**7\/70 + d**5\/60 + 3*d**2\/2 + 2. Let k(z) be the second derivative of m(z). Find the third derivative of k(p) wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 14578\/669, 29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1124*d - 1098*d + 17524. Is d < -672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = s - 4*w + 2*w, -w = 5*s - 148. Let t = 19 + s. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 14026?\nAnswer: 14032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2)\/(((w**(-2\/33)*w)\/w)\/w))\/((w\/(w*(w*w**16)\/w))\/(w*w*w**5)) assuming w is positive.\nAnswer: w**(893\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 1.9. Round p to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 2, -8703, -3, -27, 5 in descending order.\nAnswer: 6, 5, 2, -2, -3, -27, -8703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4*j - 243, 3*j - 60 = -p + 6*j. Solve -p = -11*w + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (15 + -35) - 20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1118 + -799. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72987.\nAnswer: 3, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 - 4*k - 57. Let j be y(-10). What is the common denominator of -65\/22 and j\/(-330)*(-15)\/72?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678\/(-3051)*1*-1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -0*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/105 and -39\/3605.\nAnswer: 10815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/16 + 5 + (-39825)\/(-72)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106224 to the power of 1\/2, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 3*s - 3. Let j(z) = -15*z**2 - 8*z + 9. Let a(m) = 11*i(m) + 4*j(m). Let w = -33 - -37. Let h(r) = 4*r**2 - r - 2. Give w*h(t) + 3*a(t).\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1697094.\nAnswer: 1697094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/192 and -79\/48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, -0.2, 0, -5, 170632?\nAnswer: 170632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2847010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 28*h + 76 = -26*h + 294, 7*h = -x + 7 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 362330167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -34. Suppose -p = d - 3*p, t*d = -p. Solve d*c = 2*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:11 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8674 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, m: 2, u: 3, e: 3, f: 4, d: 2}. What is prob of sequence umum?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -105, -100, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.86 - -26.85. Let f = b - -33.31. Let h = f + -42. Sort -13, 0, h, -2\/19 in ascending order.\nAnswer: -13, -2\/19, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2246336, -4492680, -6739032, -8985392, -11231760, -13478136?\nAnswer: -15724520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/1)\/(-10))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n**11*n*n))\/n)*n)\/n**(1\/7) assuming n is positive.\nAnswer: n**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*t + 16*t - 53*t + 16*t as r + z*t and give z.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - 4*i**3 + 0*i + 3*i + 2*i**2 + 0*i**2 to t*i**3 + u + o*i**2 + x*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.32 * 4.\nAnswer: -81.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -88, -197, -338, -505?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-20)*(-72)\/126?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -4*i**7\/21 - 5*i**3\/6 + 8*i. What is the second derivative of a(v) wrt v?\nAnswer: -160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u = -4*m + 7, -2*m = u - 3. Suppose 4*x - 21 + m = 0. Let p(q) = -2*q + 4. Determine p(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3013958067.\nAnswer: 3, 17, 313, 349, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11879 by -1.\nAnswer: -11879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24)\/30)\/4 + 552224\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*y + 2 + 6, -3*x = -2*y + 11. Suppose p = -0*p + y. Solve 3*v + 19 = -0*n - n, 0 = 5*v - p*n + 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 + 2 - 5380*k + 2 - 3*k**3 + 5596*k - 4.\nAnswer: -3*k**3 - 11*k**2 + 216*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17855\/4 + 195\/(-260)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-35)\/(-60)*8)\/8?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2264257549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10.6 and 0.698?\nAnswer: 9.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -33. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 444, 658?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -22371*u. Let g(h) = -h**2. What is d(g(r))?\nAnswer: 22371*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + s - 67 + 72. Suppose 2*d = -3*q + 19, -q + 1 = -2. Let u be x(d). Solve -l + 5*v + 14 = -u*v, 4*v + 17 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/((56\/14917)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41072.\nAnswer: 2, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p + 6968. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -335, -803 in descending order.\nAnswer: -3, -335, -803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + -1*(-3 + sqrt(180) - sqrt(180)) + -1 + sqrt(180) + -3)**2 + 0.\nAnswer: -48*sqrt(5) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/140 and -143\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**(-2\/13)\/o))\/((o\/(o\/(o**2*o*o)*o))\/o))**(-3\/7))**(2\/5))**(-42) assuming o is positive.\nAnswer: o**(72\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459865 is divided by 87.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 - 2*y + 1. Let n(x) = -x**2 + x. Let t(u) = -c(u) - 3*n(u). Let z be 30\/26 + 20\/(-130). Let j(w) = 2 + 2 - z + 0. What is -j(v) - 2*t(v)?\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -q - 19, 12 + 9 = 5*v + q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2336617, -2336619, -2336619, -2336617, -2336613, -2336607, -2336599?\nAnswer: -2336589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m**3 - 4*m**2 + 14. Let g(r) = -8*r**3 + 5*r**2 + r - 13. Let l(o) = -3*d(o) - 4*g(o). Give l(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 0)*(6*s**2 - 2*s**2 - 3*s**2) - 4*s**2 + s**2 + 2*s**2 + (3*s + 0*s - 2*s)*(-4*s - 2*s + 7*s) as w + f*s**2 + v*s and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n = -192 + 32 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*n = 20106, 33*x - 30*x + 3*n = 12096. Is x a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -22.88315, 0, -1\/3?\nAnswer: -22.88315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 109*t + 1380. Let r be g(-12). Suppose -5*j = -0*j - 45. Calculate the greatest common factor of j and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (-11 - (-9 - (-13 + 11)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -548, -2237, -5646, -11357, -19952?\nAnswer: -32013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 82*v - 8703. Let y(f) = -38*f + 4354. Calculate 6*x(l) + 13*y(l).\nAnswer: -2*l + 4384","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(40)\/(sqrt(100)\/sqrt(2))*4)**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20679420 and 3.\nAnswer: -62038260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -74888 (base 11) in base 6?\nAnswer: -2200015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1590 < -6285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 13. What is q(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - 5 - (2 + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 40 + 10)*(2*l - 3 + 3) + 5*l - 3*l - 3*l - 2*l - l + 4*l + (-2 - 3 + 3)*(2*l - 2*l - 2*l).\nAnswer: 98*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 24*j + 29. Let h be d(-15). Find the first derivative of 19 - h*g + 56 + 13 + 39 wrt g.\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2. Let i(j) be the first derivative of 5\/24*j**4 + 0*j + 0*j**3 - 10 - 4*j**2. Let d(v) be the second derivative of i(v). Determine d(z(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2108934 and -37\/280.\nAnswer: 295250760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 7*k**2 + 8*k + 9. Let t be i(-6). Let p(f) = f**3 + 2*f**2 - 3*f + 4. Let s be p(t). List the prime factors of ((-9)\/s)\/(3\/(-16)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15101461*s**2 - 792017*s wrt s.\nAnswer: -30202922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 37*d + 70. Let y be l(2). Solve y = t + 5, 4*z + 37 - 28 = -5*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 115379 and 4.8?\nAnswer: 553819.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/12*29*3. Let f = i + -10. Let t = -21.07 - -18.07. Which is the biggest value? (a) f (b) t (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 4*j**2 - 12*j - 3. What is the remainder when t(-5) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3629, 4505, 5967, 8015, 10649, 13869?\n\"Answer: 293*m**2 - 3*m + 3339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, j: 3, y: 15}. Give prob of sequence yjey.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(6\/13)*i)\/(i\/(i**(-5)\/i))*(i**(-2)*i)**(22\/7) assuming i is positive.\nAnswer: i**(-608\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 11*t**5\/5 - 130*t + 118. Differentiate k(w) with respect to w.\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r + 11*r - 3*r**3)*(-3 - 1 + 3)*(5 + 11 - 6) - r**3 + 4*r**3 - 2*r**3.\nAnswer: 31*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 2*b + 2 = -3*x - b, -5*b + 2*b = 241*x - 237*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8352155125 + -0.3804.\nAnswer: 8352155124.6196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.24 or 2639?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*1)*2)\/((sqrt(11) - sqrt(33)\/sqrt(27)) + sqrt(11)).\nAnswer: 24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.3 + 2.3. What is the nearest to 0.1 in o, -0.3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 2*w**6\/15 - 4*w**5\/25 - 6*w**4\/5 - 8*w**3\/15 + 2*w**2 + 12*w\/5 - 63. Let k(r) = 0. What is r?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:56 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -42. Let u be (3434\/588)\/(-17)*2. Let k = -1\/49 - u. What is the closest to 2 in 0.5, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005915 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -14*v. Let g(y) = 3*y. Let q(p) = -a(p) - 4*g(p). Let c(d) be the third derivative of -d**4\/24 + d**3\/2 + 2*d**2. Determine c(q(s)).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12438 - 6820. What are the prime factors of i?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 9. Let c be z(-9). Is 6\/43 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20819.7282 - 20819. Round r to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 6*q + 39. Let t(o) = -2*o**2 + o - 5. What is -3*s(v) - 24*t(v)?\nAnswer: 30*v**2 - 6*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.04 + -8.94. Which is the nearest to -1\/4? (a) 3 (b) 1\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 6. Suppose -2*q + 6 = -2*u, 3*u = 5*q - c - 8. Let g = u - -4. Solve 0 = 3*z - g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -24*b**2 - 2*b + 42. Let z be g(-4). 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: Which is smaller: -5 or -99\/17?\nAnswer: -99\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 x when four letters picked without replacement from {t: 6, x: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15 from -47.68.\nAnswer: -32.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -21. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3349 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156892 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((70\/13860)\/((-4)\/((-48)\/(-3))))\/((-2)\/36)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*j**2\/17 - 1797018*j\/17 - 336942\/17.\nAnswer: 2*(j - 56157)*(16*j + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 726549 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-35))\/((-13)\/(-40)). Let h = r + -1259\/819. Let a = 68212 - 341072\/5. Calculate the common denominator of a and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389158 is divided by 14967?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27184.\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + ((-14)\/(-7) - 2). Suppose 0 = -i*v - 5*t + 426, -4*t - 465 - 197 = -3*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14709347 - 2808306?\nAnswer: -17517653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**46\/f**(-16\/7)*f**(-1\/6)\/(f*f**(-1\/24)*f) assuming f is positive.\nAnswer: f**(2585\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 16 + 0)*((-3 + 1 + 0)*(5 + 0 - 4) + 6 + 0 - 4 + 0 - 4 + 5)*(95*t - 349 + 349) to j*t + g and give j.\nAnswer: -1805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 11:45 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4735, -4448, -4161?\nAnswer: -3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 - 6*f + 6. What is the least common multiple of 4 and p(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Let y(t) = 201*t - 145. Determine d(y(g)).\nAnswer: 80802*g**2 - 116580*g + 42050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t = -0*t - 436120. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -26*v**2 + 1. Let s(j) = 292*j**2 - 5*j + 5. Let q(y) = 464*y**2 - 8*y + 8. Let m(d) = 5*q(d) - 8*s(d). Determine r(m(z)).\nAnswer: -6656*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 times 1.39?\nAnswer: -0.03753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 30*o**2 - 7*o - 23. Let j be q(-30). Calculate the greatest common divisor of j and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107656743?\nAnswer: 3, 47, 763523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4476037 - -933?\nAnswer: -4475104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (-3 + sqrt(72)*1 - (1 + sqrt(72))*-6) - ((sqrt(72) + 1*sqrt(72))*6 + sqrt(72) + (sqrt(72) - (1 + sqrt(72))) + sqrt(72) + 0))**2.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*((sqrt(13) - ((sqrt(26) - sqrt(234))\/sqrt(2) + sqrt(13))) + (2*sqrt(91) - sqrt(91))\/sqrt(7)))**2.\nAnswer: -60*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 - 507217*o**2 + 9129599*o - 8622383 = 0. Calculate o.\nAnswer: 1, 17, 507199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11759461 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -42, 6, -2\/3, 1\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -236*j + 302*j + 266*j + j + 328*j to the form a + q*j and give q.\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 36\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -14887800 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1161043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 17*t. Let h(x) = -50*x**2 - 290*x. Let v(r) = 35*c(r) - 2*h(r). Factor v(s).\nAnswer: -5*s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrjj when four letters picked without replacement from jjjrjjjjjrjrrrjj?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588 divided by 5?\nAnswer: 2588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + ((-213)\/(-51) - 3). Let z = n - 211\/136. Find the common denominator of z and -83\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 + 2*a. Let d(x) = -2*x**2 - x. Let o be d(-1). Let u(s) = s**2 + 1. Determine o*w(i) + 2*u(i).\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 28730*x + 41270645.\nAnswer: 5*(x - 2873)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61596 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -d56?\nAnswer: -d59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -114*n + 3424. Let l be h(30). Solve -16*f + 20 - l = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237 + 334. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, c: 3}. What is prob of sequence ccc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, 10, 2.83, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -1521*f**6\/25 + 1287*f**5\/25 - 69*f**4\/10 - 44*f**3\/15 - 4*f**2\/15 - 2360*f. Find b such that l(b) = 0.\nAnswer: -2\/39, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84032 + -83673.01. Round l to 0 decimal places.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/19)*h**15*(h**(-1\/5)*h*h)**(36\/5))**48 assuming h is positive.\nAnswer: h**(636288\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2929886 is divided by 12964.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p. Let z(j) = -22 + 22 - 2*j**2. Determine w(z(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 4?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.307264901 rounded to 3 decimal places?\nAnswer: -0.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - j**2 + 2*j - 3. Let r be l(2). Suppose 4 - r = -b. Let c = 6 + b. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/94566156 and 85\/1242.\nAnswer: 851095404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19310062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5.417 (b) -0.1 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5428 is divided by 1348.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((72\/15)\/4)\/(21\/(-70)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 + 109. Let c = k - -25. Let x = 7 + -4. Solve c + x = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 256?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/6 + 8\/24. Let r = -9 + g. Let l = r - -45. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/20 - 2)\/(12\/(-40))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 20*q**2. Let r(c) = -105 + 2*c**2 - 109 + 214. Calculate r(d(o)).\nAnswer: 800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 242 + -231. Let n(k) = 43 - x - 20 - 14 - k. Let b(c) = -1. What is -2*b(h) + 2*n(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p + 30. Let x be n(11). Suppose a = -4*d + x + 51, 5*d = 3*a + 133. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/38 + 15510\/57?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Suppose -5*v**4 - 9*v**3 - v**5 - 63 - 7*v**2 + 63 - s*v = 0. Calculate v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 30*z**2. Let g = -48 + 20. Let c be 4\/(-6)*126\/g. Let n(o) = o**2. Let d(s) = s**2. Let u(x) = c*n(x) - d(x). Give y(u(w)).\nAnswer: 120*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = s + 3*k - 19, 2*s = 5*k + 5. Suppose 5*h - 6*w - 45 = -11*w, 5*w + 25 = 5*h. What is the lowest common multiple of h and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 16*o**2 + 103*o - 50. What is a(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15717 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltl when three letters picked without replacement from llttt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 1102*a + 149 + 2246*a)*(1 + 2*a**4 - 1).\nAnswer: 6696*a**5 + 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.249 to one dp.\nAnswer: 23.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1399223 to 2 decimal places.\nAnswer: -5.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 4*f + 675 = 0. Let x = 80 + f. Solve 0 = g, -2*c = 3*c - x*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2765, 11048, 24861, 44210, 69101, 99540, 135533?\n\"Answer: z**3 + 2759*z**2 - z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98943 < 98943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1814 - -1818. Solve -4*w + 16 - p = 4*x, x + 5*w = -1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 54*p = -10*p - 603 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -1)\/((-6)\/9). Suppose -2*z - 9 = -i, -4 = -3*z + i - k*i. Let f = -1 - z. Are 3\/2 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 115, 990, 3345, 7918, 15447?\n\"Answer: 123*s**3 + 2*s**2 + 8*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/273)\/((-413)\/(-17346)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17935, 17981, 18049, 18139, 18251, 18385, 18541?\nAnswer: 18719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1098283*o**5 + 2*o**2 + 2623*o + 121 wrt o?\nAnswer: -65896980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54768 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-86)\/7)\/(2006\/7021).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-3)\/33)\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 683, 21, 2, 13.\nAnswer: -1, 1, 2, 13, 21, 683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -25.3, 2, -6?\nAnswer: -25.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9312736 decades?\nAnswer: 9.312736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -223*o - 3497. Calculate y(-16).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 35 = 5*t, 0 = j + 426 - 421 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2. Let t(s) = -8 - 13*s**2 - 45*s**2 - 10*s**2 + 19. Calculate t(u(n)).\nAnswer: -68*n**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 88478.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141.43 - -142.43. Which is the fourth smallest value? (a) 3 (b) k (c) -5\/7 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -9. Suppose -2*u + 396 = -2*x, 5*x = 8*u - n*u + 210. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 297582655.72 and -242.\nAnswer: 297582413.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11*s = 24. Let v be ((-10)\/s*4\/(-20))\/2. Put -1\/3, v, -2\/21, 2\/9 in ascending order.\nAnswer: -1\/3, -2\/21, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f - 0*w + 5*w, 5*f = 2*w. Solve -4*x - 10 = 2*a, 4*a - x - 46 + 66 = f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 16*f**2 + 2*f - 24. Calculate a(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 226169 (base 13) in base 7?\nAnswer: 6624455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 293375938 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - q - 16, q - 3 + 7 = v. Let b(c) = -2*c**3 - 4*c**2 - 4*c. Let u(x) = 4*x**3 + 9*x**2 + 9*x. Determine v*u(s) + 9*b(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 185. Suppose -b - 32 - 66 = -4*r, 5*r = 5*b + o. What is the least common multiple of r and (10 - (2 + 0)) + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300120201 + -11?\nAnswer: -300120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 256*r**2 - 34 + r**3 + 255*r**2 + 3*r in the form v*r**2 + w + n*r**3 + s*r and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-5) + 37\/111*-21 + (-7)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r - 7. Suppose 3*s = -5*o - 25, -2*s - 3*o + 2*o - 5 = 0. Let q(x) = -x + 3. Let n be q(s). Put n, -5, r in increasing order.\nAnswer: -5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2356 - -617.8356. Let a = d + -617.19016. Let c = a - 0.41. What is c rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**3 - s**2 - s + 11. Let b(q) = -14 - 43201*q**2 + q + 43201*q**2 - 7*q**3. Let d(a) = -5*b(a) - 6*c(a). Give d(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -3b74?\nAnswer: -3b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, o: 1, c: 1}. What is prob of picking 1 e and 1 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 2, t: 13}. Give prob of picking 1 t and 1 w.\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -459, -538, -607, -660, -691?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**5 + 3*m**5 - m**5 + (-4*m**2 + m**2 + 4*m**2)*(-2*m**3 + 5*m - 5*m))*(-96 - 79 + 82).\nAnswer: 372*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -w + 97. Suppose -3*a + 7*i = 5*i - w, a = i + 124. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 51584*z**3 - 6*z**2 - 1275*z. Let t(c) = -20634*c**3 + 3*c**2 + 510*c. Let g(a) = 5*d(a) + 13*t(a). Find the third derivative of g(r) wrt r.\nAnswer: -61932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172 - -171. Let p(o) = -5*o - 1. Give p(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + a)*(-18 + 5 - 19 + 192 + 143 - 396 - 1 + 2 - 2 + (1 + 1 - 4)*(1 + 0 - 2)).\nAnswer: -92*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400616.\nAnswer: 2, 50077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400412936.\nAnswer: 2, 7, 11, 401, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -10. Let j(p) = p**3 + 4*p**2 - 4*p + 2. Let s be j(-5). Let z(c) = -c**3 - 3*c**2 + c + 4. Let r be z(s). Put r, t, 0 in descending order.\nAnswer: r, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = 3*c, 4*n = -13*c + 9*c. Sort 14, -7, 1, c in increasing order.\nAnswer: -7, 1, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5851201575?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) 1\/3 (c) 11 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -9700.\nAnswer: -13\/1940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1047 + 1561. Which is smaller: 511 or k?\nAnswer: 511","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -67*o + 135. What is l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 1\/6 (c) -113 (d) 0.4 (e) -3.58 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -c - 2. Let q be 9 - 15\/(8 + c). Let y be q\/(-4)*8\/(-3). Solve k = 2*k - y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqeq when four letters picked without replacement from {q: 2, e: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (51\/30 + 0)*2. Is d smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = -f. Suppose 3*x = -f - 7. Let p(d) = d + 5. Let q(b) = b + 4. Determine x*p(j) + 4*q(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/40*1\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(14)\/sqrt(2)) + 2*sqrt(720).\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 3*l - 3. Suppose -2*m - 8 + 30 = 0. Suppose m = -3*z - 4. Let p be (-3)\/((-9)\/3) + z. Calculate v(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Let t = 6 - p. Suppose h - t*h = -9. Solve -y - 1 + h = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4707805\/6706458 - -4\/101613. Find the common denominator of x and 61\/1089.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9.48072 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18871.\nAnswer: 113, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11537 and 5997850?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -95*-0.03\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48400 + -12369. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-19 - 5) - (-8090324)\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**4\/24 + m**3\/2 - 8*m**2. Let i be c(-3). Find the third derivative of i*x**5 - x**5 + 19*x**2 - x**5 - 5*x**2 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -5 - (-12 - -15)) + -11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4455\/(-1782))\/(10\/(-68))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2622 and 10741?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -815 in decreasing order.\nAnswer: -1, -2, -815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-714)\/77)\/(-17)*(-2)\/(-8)*2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*(0 - 1\/(-2)). Let v(y) = -10*y - 5 - y**2 - 10 - 2*y. Let r be v(-10). Solve 4*j = -r*z + 3, -p = -3*z + 2*j - 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130)*-1 + sqrt(130))*6 + sqrt(130) - sqrt(130))\/(sqrt(50)\/(sqrt(15)\/sqrt(3))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -891 by -3.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 - 2508*t**2 - 12465*t = 0. Calculate t.\nAnswer: -831, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 11*c**2 + 6*c + 14. Let n be l(-8). Let t = -118 - n. Let y = t + -39. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296796105?\nAnswer: 3, 5, 43, 163, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -3 (c) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5944101 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21825 - 21839 - (1 - -30 - 1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) 34 (b) 0.8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k**2 + 2*k - 1. Let p be q(1). Let s = 24 - p. Calculate the highest common factor of s and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*f - 69*f = 186. Let i = 93 - f. Solve -m = 4*g + 21, -4*g - 23 = 3*m - i*g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(22))\/sqrt(2).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 1\/6*s**4 + 0*s**2 + 0 + 0*s**3 + 25*s. Let f(k) = 12*k. Give j(f(p)).\nAnswer: 288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/112)\/(30\/(-1470))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**9\/m)\/m**(18\/13))\/((m*m*m\/((m\/(m*m\/m**13))\/m))\/m*m\/((m*m**12)\/m)))**(-50) assuming m is positive.\nAnswer: m**(-17300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -1\/2 (c) 6\/11 (d) 19 (e) -0.4 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (2 + -3)\/((-4)\/(-12)). Put 1\/3, 12, d in ascending order.\nAnswer: d, 1\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/(-11) - (-90)\/(-14). What is the nearest to -148 in o, -4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.19 and -10996?\nAnswer: 10995.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489.6322 millennia to months.\nAnswer: 5875586.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/155 (b) -4 (c) 2 (d) -0.3 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, -1040, 2\/11, -1, -4\/3, 0.06?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/60 + n**4\/8 + n**3\/6 + 2*n**2. Let r(y) be the first derivative of y**2 + 97824. Give 2*i(c) - 3*r(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {n: 1, i: 2, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2753 + 11734. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/18 and -85\/114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*c + 29854 = 25979 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - t**2 - t + 1. Let l(p) = 4*p**3 + 2*p**2 + 3*p - 7. Let s(m) = l(m) + 5*x(m). Let k be s(-2). Which is bigger: k or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 - 5*b + 4. Let l(r) = -3*r**2 - 4*r + 4. Let f(a) = -6*g(a) + 7*l(a). Let u be f(-5). Suppose -9*o + 10*o = u. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 4 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 j when four letters picked without replacement from {u: 2, k: 1, c: 1, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435812723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9946948 is divided by 18732.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1165)\/(-466)*(-24)\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2.07, 2, 4, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1011000?\nAnswer: 1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248564.2 milligrams to nanograms.\nAnswer: 248564200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*sqrt(156)*-3 + sqrt(156))\/sqrt(12))**2.\nAnswer: 50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -26*b - 1. Let d be g(-1). Let l = 25 - d. Let f be 1 - (-21 + (2 - l)). Solve -f = -2*n + 7*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25388*i + 21031 wrt i?\nAnswer: 25388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 1)*4 + sqrt(19))*-2*-6.\nAnswer: 48 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690659874 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 447615461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2519592 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1631 divided by -7?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47334 and 10123302?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -51 + 55. Suppose -20 = 4*f + f. Put f, -5, d in ascending order.\nAnswer: -5, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/30*(-1 + 1). Suppose 0*p - 40 = -w - 3*p, -5*w + 5*p + 240 = 0. Suppose s = 3*x - w - 53. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 2*u**2 - 3*u**2)*(3 - 5 + 4)*(u - 2*u + 2*u) - 3*u**3 + 3*u**3 - u**3 + (4*u + 4 - 4)*(4*u**2 - 130*u**2 + 40*u**2).\nAnswer: -347*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 66640.58um?\nAnswer: 6.664058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/27 + (-141)\/27. Let k(n) = n + 3. Let h be k(c). Put -3, 4, h in descending order.\nAnswer: 4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 398 - 398.1. Let u = -217.6 - -187. Is c >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 8, -1664\/49?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 + 1734074*h**3 - 18 + 2*h**2 + 11*h - 1734076*h**3 - 3*h**2 + 6 in the form l*h**3 + i*h + y*h**4 + n*h**2 + d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 k when three letters picked without replacement from auxuxkaamuzz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (336*f + 32*f**3 - 336*f + (-4*f**2 - 2*f**2 + 4*f**2)*(-3*f + f + f))*(-3*f + 0*f - f)*(-2 + 1 - 1).\nAnswer: 272*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 333570 or 333569?\nAnswer: 333570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*t + 11*t + 0*t)*(-2 + 1 - 2) + (-3*t + t + 5*t)*(2 - 1 - 2) + t + 0*t - 8 + 0.\nAnswer: -68*t - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 7. Let t be g(6). Suppose -4*d + 12 = 3*m - t*m, 2*d = 5*m - 2. Is 101\/d + (-2)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 8:10 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 + 134. Let h(q) = -24*q + 35. List the prime factors of h(b).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 65.226842.\nAnswer: 60.226842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58.025 - -58. Let l = r + 0.024974. Round l to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8711804 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let y(n) = -65*n - 5330. Let i be y(-82). Solve -d = 2*w - i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11 and 0.408.\nAnswer: 0.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 5*j**2 - j + 1. Determine t(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 152a52?\nAnswer: 152a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11040 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 71 = -83. Calculate the remainder when n is divided by 38\/5 + (-22)\/(-55).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2689 (b) 1785 (c) 0.04 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 25 = 23 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87492998*n**2 - 50219262 wrt n.\nAnswer: -174985996*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 5. Let d = 9 - 3. Let h(q) = 1. Let t(f) = d*h(f) + 2*b(f). Calculate t(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1802694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/9, -19, 2\/5, -1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4 and 101\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 230135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 13*b**2 + 11*b + 21. Let u be k(5). Let x(a) be the second derivative of -a**4\/4 + a**3\/3 - a**2\/2 + a. What is x(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**2 - 31*n - 12. Let i(j) = -16*j**2 + 61*j + 25. Let d(x) = -6*i(x) - 13*u(x). Let r be d(-9). What is the highest common divisor of 26 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3016372 - -1?\nAnswer: -3016371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*k - 324*k + 641*k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.225*-0.252.\nAnswer: -8.8767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130.23473 - 0.22473. Let l = 131 - u. Round l to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7644 divided by 2548\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 5:06 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794107 is divided by 489.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 355185 and 355185.\nAnswer: 355185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*r**5 + 39*r**5 - 36*r**6 + 95*r**6 - 2*r**2 - 8*r**5 + r**2 - 110*r wrt r?\nAnswer: 7080*r**3 + 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15634486 to the power of 1\/2, to the nearest integer?\nAnswer: 3954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4134, 8303, 12520, 16809, 21194?\n\"Answer: 4*u**3 + 4141*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 + -123.11. Let a = o - 0.13. Let r = -6.6 + a. Round r to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-30)\/(-25)*15*35\/63.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 4*b - 7. Let c be o(9). Suppose -n = -2*n + c. Calculate the remainder when n is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 1. Let a(m) = -11 - 2*m - 5*m + 3*m - 6*m. Let d(v) = -6*a(v) - 66*z(v). Suppose 4*p + 11 - 32 = g, 3*p = 3*g + 18. Give d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.985 + -35. Let a = f + 0.01672. What is a rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*z, z = -c - 4*c + 10. Let g = 3 + -1. What is the first derivative of -8*k**4 + 5*k**c + g*k**3 + 10 - 7*k**3 wrt k?\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -199 + 206. Solve h - 4*m - 25 = 0, -m = -3*h + p + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -42*d - 1. Suppose -4*i - 8 + 4 = 0. What is the tens digit of k(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1876.12 minus 649669?\nAnswer: -651545.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40392)\/(-20493)*(-3)\/2 + 3.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3*o - 80. Let t be 2\/2 + o\/12*12. What is the greatest common divisor of 21 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18288 + -9002. Let b be (-166)\/24*-1*1346. Let w = n - b. What is the common denominator of w and -69\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11\/2 + 6. Let o be (-35)\/(-11) + (-2)\/11. Which is the nearest to f? (a) 1\/4 (b) 2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6880839 to three decimal places.\nAnswer: 1.688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 710771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 4. Let s be d(-8). Suppose r - 4*c + c = 10, 4*c + s = 0. What is the tens digit of 93 + r\/4 + 15\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17832*0.036\nAnswer: 641.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.157 - 0.513. Let n = -81.3 + 81. Let l = n - x. Round l to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -707 and -707 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 138890*r + 4822608025.\nAnswer: (r + 69445)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -42.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 5:59 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -370.467*0.1\nAnswer: -37.0467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -553, 4, -1, -5 in descending order.\nAnswer: 4, -1, -5, -553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 11) to base 4\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 776279150 a multiple of 1283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 + 4810*n + 188805 = 0. Calculate n.\nAnswer: -921, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10086457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(684))*3 + -3)**2 - (0 + sqrt(684) + (0 + sqrt(684))**2 + -4)*3.\nAnswer: -14424 + 414*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112 + 4267*p**3 - 4248*p**3 + 1112.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-126.\nAnswer: -8.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 61262.34um?\nAnswer: 6.126234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 9:46 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 6, v: 1, a: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6465 and 0.299?\nAnswer: 1933.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Let u(d) = d**3 + 6*d**2 + 4*d - 2. Let o be u(-5). Find the second derivative of -3*h**j - 2*h**o + 4*h**3 + h wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a. Let p = 7 + a. Let t = 124 - 101. What is the remainder when t is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -730545861.\nAnswer: -730545860.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 10\/(-3)*7*90\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20102101 (base 3) to base 8\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 7*n**2 - 2*n - 7. Let k be q(-7). Let a(v) = 3*v + 4 - k - 2*v. Calculate a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, a: 3}. What is prob of sequence ammm?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + 7*i**4 + 0*i**4)*(0*i + 0*i + i) - 5*i**5 - 4*i**5 + 13*i**5.\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139 + 139. Which is the third biggest value? (a) d (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -81. Suppose -4*a = -3*m - 2, 5*m - 5*a + 0*a = 0. Does 8 divide y - (m + (-3)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**5\/2 - 433*a**4\/2 - 32136*a**3 - 1756720*a**2 - 18188800*a - 16464000 = 0.\nAnswer: -140, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (354 - 354 + 53*o)*(0 + 5 - 4 - 3*o).\nAnswer: -159*o**2 + 53*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -30*k**3 + 377*k**2 - 48*k - 6. Give p(12).\nAnswer: 1866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times -4.6?\nAnswer: 0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*s**4 - 49316*s**3\/19 + 163174*s**2\/19 + 275028*s\/19 + 71712\/19 = 0. Calculate s.\nAnswer: -18\/19, -1\/3, 24\/5, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/11 or 5\/394?\nAnswer: 5\/394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + x - 12 = 0, 2*x = 5*x. Let u(o) be the third derivative of -1\/6*o**k - 4\/3*o**3 + 0*o + 1\/60*o**5 + 0 + 2*o**2. Give u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/104)\/(1086\/77649)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:00 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236495 is divided by 320.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*w - 6000 = -26*w + 13*w for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -13, 1\/6, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d254 (base 16) in base 2?\nAnswer: 1001101001001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - ((-6060)\/(-3))\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 10*a**2 + 4*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -1524520?\nAnswer: -1524513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0*c**2 - 3*c**3 - 2*c**3 - 2 + 4*c**3 - 3*c**2 - 4*c. Calculate the lowest common multiple of b(-3) and 6\/(-6*(-1)\/16).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.4 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -239, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99*f**2*g**2 + 64*f**2*g - 20949*g**2 wrt f.\nAnswer: 198*f*g**2 + 128*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -577875*a**5 - 413*a**2 + 3704*a - 5 wrt a?\nAnswer: -34672500*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/6*(-162)\/63\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 - -174. Let k = w + -42. Solve -k*x - x = 2*l + 20, 8 = 4*l - 2*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkwkwwwwwkk. What is prob of picking 1 k and 1 w?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23510 - -55?\nAnswer: 24005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(20*7\/168)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 163, -0.4, -0.2, 484, -3, -4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4939, -4932, -4921, -4906, -4887?\n\"Answer: 2*j**2 + j - 4942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**7\/2100 - s**3\/3 + 3*s**2. Let g(y) be the first derivative of p(y). Let g(c) = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**4\/24 + 111*i**2. Let h(x) = 230*x. Give r(h(u)).\nAnswer: -230*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2472, 2460, 2448, 2436, 2424?\n\"Answer: -12*w + 2484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2)\/((-104)\/156).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m + 50. What is the tens digit of h(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let i(d) be the third derivative of -467*d**5\/60 + 2*d**2 + 71*d. What is y(i(o))?\nAnswer: -467*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3 - 28 + 0*m**2 + 33 + 20 - m**2 - m**3 - m. What is f(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 22011846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 15) to base 2.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.05 (b) 1 (c) 5 (d) 252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8672 - -2869. Let p(h) = -g*h**2 + h - 3*h + 49343*h**2. Let x be p(1). What is x rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u*(u**(-4)\/u)\/u*u)*u**20*u*u\/u**(2\/29)*u*u**(6\/7))**(1\/19) assuming u is positive.\nAnswer: u**(5438\/3857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -33*r + 181. What is the hundreds digit of d(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*l**3 + 19*l**2 + 56*l**3 + 58*l**3 + 48*l**3.\nAnswer: -4*l**3 + 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (135\/(-315))\/((-1)\/(-7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 0.4 (c) -103440 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.32 and 0.0246?\nAnswer: 0.007872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 2*z + 61. Is d(0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3 - 5 + 13*v + 3. Suppose k - 6*k = 3*b + 19, 5*b + k - 5 = 0. Suppose 1 + b = -3*u. What is x(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.1 in 114, 3, -1\/3, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - y - y + (-3 + 0 + 1)*(-18*y + 29 - 29) - 5*y + 3*y - 8*y to w + o*y and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 96 + 4. Let x(a) = 3*a - 9. Let o(h) = h**3 - 6*h**2 + 7*h - 6. Let s be o(5). Let w be x(s). Solve -10 = -4*y + 10, w*y - b = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6385\/2 - 47978\/15. Find the common denominator of p and 73\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-10))\/(37\/(-185))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 34 - 35 + 67. Let b be 1 + (-1 - (1 + -3)). Suppose b*o + 5*z = z + 4, o + 4 = z. Calculate d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -1. Let t = -0.2 + p. Which is the closest to 0.3? (a) -0.2 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547966?\nAnswer: 2, 83, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -761 - 8a?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0 + 0*v**2 - 1\/6*v**4 + 11*v + 0*v**3 + 1\/10*v**5. Find d, given that q(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317 - 1203 = -19*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-4))\/g*g)**50\/(g**0)**(-9\/2))**3)**41 assuming g is positive.\nAnswer: g**(-18450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-624)\/(-84) - 4\/(-7). What is the greatest common divisor of 40 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4942233729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, 762, 3, 2, -2 in decreasing order.\nAnswer: 762, 3, 2, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 51*x - 20*x - 13*x + 25 - 6*x**2 - 15*x. Let l(n) = 19*n**2 - 8*n - 74. Let o(k) = -3*l(k) - 8*s(k). What is the first derivative of o(r) wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:30 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7002 + -126127\/18. What is the common denominator of -41\/6 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 c when three letters picked without replacement from koqkkckkkccoqkko.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose 4*t - 18 = -a. Solve 3*u = -t*n - 3, -n - 15 = -4*u - 0*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/(-34))\/(-2*(-3)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**4\/12 + h. Let s(l) be the third derivative of -3*l**5\/10 + 33*l**2. Determine s(f(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 267*x**2 - 5397*x + 86. What is t(22)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.61 rounded to 0 dps?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 10220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32023122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 5*o**3\/6 - 9*o**2 + 2*o - 13. Let r be b(17). Suppose y - 222 = -r. List the prime factors of y.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 108. Let u = k - 34.33. What is u rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:03 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 0*b)*(-10*b**4 + 8*b**4 - 5*b**4).\nAnswer: 7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 616, 8, 19, -3\/2, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003606 to six decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 41383.\nAnswer: -3\/41383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7820730 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*h + 562 = -10 - 348 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2481)\/(-825) - 3)*(32\/120)\/(-4). Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4803686165?\nAnswer: 5, 2339, 410747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 761801 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27465, -27473, -27515, -27585, -27677, -27785, -27903, -28025?\n\"Answer: j**3 - 23*j**2 + 54*j - 27497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -11*q**6\/144 - 23*q**5\/24 - 3*q**4 - 105*q. Let b(k) be the third derivative of t(k). Differentiate b(r) wrt r.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 13167 = 8*a. What is the greatest common factor of a and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 divided by 10?\nAnswer: -199\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p = -50. Suppose -p = -5*c, -4*c + c = -2*r - 11. Let b = r + -4. What is the third smallest value in b, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 2719*v**3 - 2 + 9 - v - 4*v.\nAnswer: -2719*v**3 - 2*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9)**(-9\/11) assuming q is positive.\nAnswer: q**(-81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-71)\/(-3) - (-1)\/3 and 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 15 + 17 = -4*t, -5*y = -8*t - 46. Let d(a) = 7*a - 7. Let z(g) = -10*g + 11. Let q(k) = -7*d(k) - 5*z(k). What is q(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4201 + -5?\nAnswer: 4163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(20)\/sqrt(4))**2 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 5*m + 15. Suppose -7 = -m*n - l, n - 2*l + 4 = -3*n. What is the greatest common factor of 3 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -26*o**2. Let j(a) = -1326*a - 2. Give j(h(m)).\nAnswer: 34476*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 237*n - 43. Let d(i) = -4*i**2. Calculate d(j(b)).\nAnswer: -224676*b**2 + 81528*b - 7396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*(-6)\/(-9) - (-13 - (-35 + 17)). Solve -4*w + 12 = 4*b, x*w - 5*b - 23 - 2 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, d: 10, f: 5}. What is prob of picking 3 d and 1 f?\nAnswer: 50\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0.4 (b) 8 (c) 192 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.2418 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 - (20 - 52). Suppose 0 = 31*r - 26*r + 2*l - h, -l = -3*r + 22. Let w(x) = -3*x + 10. Give w(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 9. Let a be i(4). Let y(l) = 3*l. Let z(s) be the second derivative of 2*s**3\/3 - 4*s. Let r be 5 + 2 - (2 - 1). Calculate a*z(f) + r*y(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 16 + 4 + 0 + -9 + (-2 - 28).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 33, 34, 21, -12, -71?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -11*m + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 386, 0.5.\nAnswer: -1\/6, 0.5, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 4*k**2 - k**2)*(3*k - 4*k + 3*k) - 3*k**3 - 6*k**3 + 0*k**3 + 0*k**3 + 3*k**3 - k**3 + (4*k**2 - 2*k**2 - 4*k**2)*(-2 + 2 - 2*k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 48 = h. Let z be (11 + -1)*h\/8. Let d = 26 + z. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 plus -7499.62?\nAnswer: -7517.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16521*g**2 - 3*g + 94079 wrt g.\nAnswer: 33042*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/87425 and -75\/27976.\nAnswer: 699400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007*n + 1200*n = 8785 + 17699 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*v + 5216. Let o be (-3)\/(-7) + 137465\/(-210). Let m = o - v. Calculate the common denominator of 93\/10 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1280\/(-130) + -2 + 12. Let l = -0.1 - 0. Let k = 12 + -14. What is the nearest to l in k, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*r**4 + 49\/3*r + 139*r**2 - 418\/3 - 49\/3*r**3 = 0 for r.\nAnswer: -1, 1, 11, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 1, d: 2, g: 1, x: 2}. What is prob of picking 1 x and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 + 27*q**2 - 27*q + 344. Give b(14).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31402040 (base 5) in base 8?\nAnswer: -1001162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + -3 + (sqrt(13) - sqrt(104)\/(sqrt(24)\/sqrt(3))) + -4)**2 + -1.\nAnswer: -28*sqrt(13) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1216)*1 + 2)*-4)**2 + (-3 + (sqrt(1216) + -1 - sqrt(1216)) - 3*-1*sqrt(1216))**2 + -3.\nAnswer: 1856*sqrt(19) + 89037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 23417749?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1434, 1471, 1508?\nAnswer: 1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 15 = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 10:29 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-1) + (22 - 34).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:02 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8.09. Let s = -0.39 + m. Let v = 2.5 + 0.5. What is the third smallest value in v, -0.1, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 times 23?\nAnswer: 6371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -15.96. Which is the smallest value? (a) -0.1 (b) s (c) -2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knmm when four letters picked without replacement from {z: 5, p: 1, n: 2, m: 6, k: 5}?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -324, -668, -1140, -1734, -2444?\nAnswer: -3264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 1 + 9. Suppose 2*w + 76 = -3*k, p*w - 28 = 5*k - 4*k. What is the units digit of ((-3)\/6 + 0)*k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4379001892 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v. Let n(x) = 130 + 2*x**2 - 130. Determine h(n(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/20 + r**4\/6 + r**3 + 8*r**2 + 2*r. Is w(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.454942 to zero decimal places.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 693655906 divided by 16339?\nAnswer: 42454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let a = 0 - -4. Suppose -a*q = q + 5. Sort q, g, 3 in descending order.\nAnswer: 3, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*p + 71. Let f = -23 + p. Let x be 8\/(-6) - 120\/f. Calculate the greatest common divisor of x and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -870757 (base 9) in base 4?\nAnswer: -1332230122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203312113 (base 5) to base 7.\nAnswer: 10061224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/(-14) + 4\/14. Suppose -50 = n + w*n. Let i = n + 32\/3. Is 0 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 - -82. Which is the smallest value? (a) -3\/8 (b) -0.08 (c) 1\/3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2511*u + 122*u**2 - 223*u**2 + 104*u**2 - 838*u**3 + 3796*u wrt u?\nAnswer: -5028*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3129 and -45\/102763661?\nAnswer: 308290983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 66*n**2 - n. Suppose 3*b = 5*c + 19, 2*b = -4*c + 4*b - 14. Let z be ((-1)\/(-3))\/(c\/6). Let w be u(z). Round w to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 8*v + 0*v**3 - 27 - 2*v**3 + 22 + 3*v**3. Let g = -4 + 7. Suppose g*y = 5*k + 24, k - 5*k = 3*y + 30. Determine a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608*x - l = -581*x - 82, 0*l - 26 = -5*x - 11*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 33*c - 37*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55679417?\nAnswer: 3019, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*w + 3*z, 8345152*w - 8345156*w = 5*z - 45 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*l**3 - 22*l**2*t - 2*l*t - 1019 wrt l.\nAnswer: 72*l - 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 8. What is o(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*8.729\nAnswer: -0.8729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:32 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -8 - ((-3 - (-7 - -3)) + 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2268*h - 2268*h - 8*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvffuvff. What is prob of picking 2 v, 1 f, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -33965.1 to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10348907.1 minus 1472824?\nAnswer: 8876083.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13647315 and 3721995.\nAnswer: 40941945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 336 = -779. Suppose -55 = -6*k - l. Is 8\/k - 1815\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 4)*(-2)\/(-1). Let w be n*3*1\/3. Let s(t) = 6*t**w - t - 4*t - 2 - t**3 - 2*t + 3*t. Calculate s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-189)\/(-308385)*165).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.14 + -0.12. Let l = x - -0.09. Which is the closest to -0.1? (a) l (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.92699 - 0.07301. Put 3\/2, p, 7 in decreasing order.\nAnswer: 7, 3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(3) + (sqrt(200)*1)**2 + (-3 + (sqrt(4) - (sqrt(4) - (4*sqrt(4) + sqrt(4))))\/sqrt(2))**2)*-4.\nAnswer: -1036 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*k + 3*k - 4*k)*(1221 - 612 - 611 + 64*k) to the form b + r*k**2 + a*k and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 7*v + 8. Let a be h(-8). Suppose 0 = -5*r - 121 + 181. Solve -4*b = -a*b - r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvlvvvvllvvvl. Give prob of sequence vvv.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 + -266 + (31 - 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 13*r + 10774074 - 10774074 - 15*r + 9*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*j - 12752 - 4208 = 0, -3*j = 5*y - 42376. Suppose y = 5*k + 14*h - 12*h, -2*h = 3*k - 5087. Round k to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -610 - -610. Let j = -10.6 + 1.6. What is the smallest value in -0.4, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(2\/6). Let x be (a - 3)*15\/12. Let m(q) = 2*q**2 + 8*q + 7. What is the tens digit of m(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 276*l**2 + l - 2. Let p be c(-2). Let j be 4\/10 + 28\/5. Let f be (j\/3)\/(-2)*p. What is f rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1.03, -246, 0.31, -2, -4\/3, -1\/3?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -150000*c. Let a be o(-6). Suppose -l + 6*l = a. Round l to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r + 4. Give t(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 - -9?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 73948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -x + 88. Let r = x + -91. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4075078 and -7058.\nAnswer: -7057.5924922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5 + 17 + 14*a - 7*a. Let v be 9 - -3*(-2)\/(-6). Is g(v) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 - -232. Is 33 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*b = -134, 21*k + 118 = 23*k - 4*b. Solve -k*g + 80 = -43*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q - 9. Let z = 5 + -15. Let u be 9\/(45\/z) - 4. What is the tens digit of w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2764 * 1.4\nAnswer: -3869.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-4) + (-39)\/(-52).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-7))\/((-4)\/84). Is s at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22586279 is divided by 2954.\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 372*n**5 + 1272*n**5 - 189*n**5 + (-1 - 2 + 1)*(-6 - 3 + 4)*(0 - 1 + 3)*(0*n + 2*n**5 + 0*n).\nAnswer: 1495*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10001001110000 (base 2) to base 9\nAnswer: 13075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -12) + -139 + (-408 - -421).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3, 2*y + 146 = -5*l + 4295. Suppose 0 = -5*a - o + 15381, a - o - 3073 = 2*o. Suppose a = 2*r - y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 11) to base 6.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -17*h - 24*h - 91 + 1139*h**2 - 1136*h**2. Is d(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39755 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180028 divided by 45007.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, -3\/7, 1\/4, -464.4, 50, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s + 685. Give v(-83).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3*n - 279889*l*n**2 - 6055556*n**2 wrt l?\nAnswer: -3*l**2*n - 279889*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/2 + 5*z**3\/3 + 7*z**2\/2 + z. Let b be (-12)\/(-10)*(-6 + 1). Is n(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -20*l + 68. Let b(m) = -13*m + 45. Let z(o) = -8*b(o) + 5*u(o). Let s(y) = -y**3 - 7*y**2 - 8*y - 4. Let t be s(-6). Is 3 a factor of z(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -257866427.\nAnswer: 257866433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000184523 to 6 dps.\nAnswer: 0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 12 = -3*j - j, -l = -2*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1. Let m(c) = 2*c + 4. Let h(a) = -a - 3. Let x(o) = h(o) + m(o). Give 2*r(n) - x(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 36 + 154*y**2 - 5*y**2 - 16.\nAnswer: 149*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/20 + (2 - 44\/20). Which is smaller: y or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.05 or -0.733?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 3*y + 28 + 17, -30 = -26*n + 28*n + 72*y - 77*y for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160080221 a multiple of 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) -9 (b) -15 (c) 3.58 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:24 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*y - 2 + 4, 20 = 2*s + 4*y. Suppose 0 = -s*n + 2*n + 4. What is the first derivative of a**2 - 4 + n + 2*a - 2*a wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-14202856.85\nAnswer: -14202856.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2750 times 111\nAnswer: 305250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23218 and 288439.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**2 - 29*n - 212. Let o be v(-7). Let u = 434 - o. Solve -u*x = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 1620863*t**2\/2.\nAnswer: -t**2*(t - 1620863)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/276 + 15054\/57707?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94 plus -9929106.3?\nAnswer: -9929105.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 25048 and 5152299.\nAnswer: 5177347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 265 = 140. Suppose -2*d + d + q = 0. Suppose -13*t + d = -10*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 13. Let b(o) = 3*o. What is b(z(x))?\nAnswer: 9*x**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*a**4 + 75808*a**2 + 4783281.\nAnswer: -136*a**3 + 151616*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 125*j + 4677. Determine s(-30).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, -89, -2, 5, 0, 91 in ascending order.\nAnswer: -89, -2, 0, 2, 5, 14, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3442012433 - -21?\nAnswer: 3442013004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 18 - 30. Let u(w) = 8*w - 5*w - k*w + 7 - 17. Determine u(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-1)\/4*(0 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -2*g**2 - 2*g - 488. Determine v(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 252783*m - 7333230.\nAnswer: 3*(m - 84290)*(m + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 6*c**2 + 21*c + 9. Let z be b(13). Let j = z + -597. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 8, h: 3, u: 3}. Give prob of sequence hh.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -2*(2\/3 - (-26)\/(-12)) and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 276*c**2. Let w(o) be the third derivative of o**5\/4 - 284*o**2 + 5*o. Give w(k(t)).\nAnswer: 1142640*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 5*j**2 + 5*j - 5.\nAnswer: -5*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, o: 9}. Give prob of sequence ooo.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 48.6. Let l = x - -20. What is the smallest value in -5, 1, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/7 + 9*y**2\/7 - 12\/7.\nAnswer: -3*(y - 2)**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/5))**(1\/5)\/((n*n**(1\/2))\/n**(-1\/10))*(n\/(n\/((n\/(n**2\/n*n))\/n)*n))\/(n\/n**(-2\/7))*(n**(-2))**10 assuming n is positive.\nAnswer: n**(-4509\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 3*o + 4. Let z = 7 + -6. Let w(b) = b**2 + b + 1. Let l(k) = z*h(k) - 4*w(k). Calculate l(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 307?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543257376 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -1, 2\/73?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280110 is divided by 347.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j - 0. Let w be 2\/j*15\/10. Solve d + 8 = w*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5182, 1\/4, 2\/3, 0.012, 5, -1\/9?\nAnswer: 1\/5182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588641887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l + 1. Let a(f) = -2*f**2 + 9*f + 6. Let h(y) = a(y) - j(y). What are the prime factors of h(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -323, -489, -655?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-19))\/(-38*94\/16967))\/(-38*1).\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 13 + (13 - -2) - -5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 7:58 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 - -194. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2653.4 + -209.4. Let y = 2444.000000987 - x. What is y rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 7*b**2 + 7*b - 9. What is i(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 73 - 258 = 0. Let v = -22 - b. Calculate the greatest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 171*b. Let v(g) = -2*g**2 + 170*g. Calculate 4*i(u) - 3*v(u).\nAnswer: -2*u**2 + 174*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 + 11 = 0. Let l = 3 - w. Let q(r) = -r**2 - 11*r + 12. What is the remainder when q(l) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -18*l**2 + 0 + 2*l + 26*l**2 + 31*l**2 + 1. What is the remainder when d(-1) is divided by ((-3)\/6)\/(2\/(-80))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.68 (c) 8 (d) -2\/3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from sspk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -2 in increasing order.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*-1)\/(2*sqrt(5)*2) + ((sqrt(40)\/sqrt(5))\/sqrt(2))\/(6*(sqrt(2)*1 + sqrt(2))).\nAnswer: -11*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 4. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + q + 14 = w, 0 = 5*q. Suppose -w*u + 28 = -7*u. Suppose -u*b = -b - 6, -4*b + 222 = 2*j. What are the prime factors of j?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.2 + -16. What is the third smallest value in -1, 2, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -12\/2311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = y + i - 3, 5*y + 5*i - 15 = 0. Let h(v) be the third derivative of 0 + 4*v**2 - 1\/6*v**4 - 1\/60*v**5 - 1\/3*v**y + 0*v. What is h(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2 + 0 + 1) - -1. Solve 0*c = -w*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 221225.1 millilitres?\nAnswer: 221.2251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 340, 486, 614, 730?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 r when four letters picked without replacement from {r: 9, l: 11}.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*l - 4 = 0, 7 = -h + 3*l + 16. Let w be (3 + h)*2\/4. Which is the nearest to w? (a) 5 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2464 times 16?\nAnswer: -39424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11047 - -19080. Is u a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myiue. Give prob of sequence uem.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-43)\/(6321\/(-3983)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 14, 18?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)\/(b**(-1\/4)\/b))\/(b**2\/b**5) assuming b is positive.\nAnswer: b**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 826141790 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19844\/1353 + 28\/12\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 8*h**2 - 9*h + 18. Let d be j(-6). Put -6, d, -5 in increasing order.\nAnswer: -6, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67.7 * 52182.\nAnswer: 3532721.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/((-4)\/4) + -4. Suppose 6*k - 3*k + 6 = 0, 0 = -v - i*k - 9. Let l = v - -26. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/6 + 0)*-2. Suppose 0 = -q - 2 + i. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151090048 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-7)\/140*(-65)\/182?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960878400 divided by 48.\nAnswer: -20018300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 5*p - 2*c = 2, -4*c + 2 = -3*p. Suppose -p = 3*g - 4*g. Let z = -2 + 3. Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:21 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2449 = -3033506*m + 3033585*m for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfnefmemff. Give prob of picking 2 e.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 230676605 to the power of 1\/2, to the nearest integer?\nAnswer: 15188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Let m(h) = -h**2 - 2*h - 2. Let j(q) = 4*q - 3*q - 7 - 9*q. Let z(i) = 15*i + 13. Let u(p) = 11*j(p) + 6*z(p). Give f*u(g) + 2*m(g).\nAnswer: -2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w = 9. Suppose 0 = 2*j + w*j. Suppose 0 = g - j*g - 19. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 + -104. Solve w = -4*a - 17, -2*w + t = -2*a - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -617\/55 (b) -1\/3 (c) 45 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 17. Let l = -7 + 27. Suppose 4*y - 2*m = l, 0 = 2*y - 3*m + 6*m - 2. What is the third biggest value in w, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 0*w**2 + w**2 + 11*w - 2*w - 2*w**2 - 17. Let z be d(5). Suppose 0 = -2*s - 2*q + 125 + 39, -4*q = -z*s + 246. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**21*g)\/(((g**(-9)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40759 by -15.\nAnswer: 40759\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 453956633 a multiple of 4273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.87013 centuries to months.\nAnswer: 39444.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, 4, 3, -2, 21 in decreasing order.\nAnswer: 21, 4, 3, -2, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 - 26*p**2 + 7108*p\/9 - 8272\/3.\nAnswer: 2*(p - 66)*(p - 47)*(p - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 10*i. Let n(f) = -2*f**2 - 21*f - 1. Let a(l) = -2*n(l) + 5*t(l). What is the units digit of a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15.2, 0.46219, 0.3 in descending order.\nAnswer: 0.46219, 0.3, -15.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**3*v - 9*o**3 + 28*o**2 - 3357*o - 2424002*v + 2 wrt v?\nAnswer: o**3 - 2424002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 42, 87, 142, 201, 258, 307?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + w + 44 - 88.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 133 - 30 - 3 - 1 + 2 + (3 - 5 + 4)*(4 - 2 - 4) + 3 - 2 + 0)*(-5 + 3*p**3 + 5).\nAnswer: 447*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = -3*y + 12*q - 10, 0 = 4*q - 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 732, 1460, 2188, 2916, 3644?\n\"Answer: 728*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 218853582505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10524*o + 2357 wrt o?\nAnswer: 10524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104\/5 - 713\/35. Suppose 2*u - 8 = 2*d, -3*u + 22 = -2*d - 3*d. Which is the closest to 2\/7? (a) 5 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c34 (base 13) to base 16\nAnswer: -817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*x - 53*x - 9*x**2 + 3*x - 3*x - x**2 + (0*x + 2*x - 3*x)*(-2*x - x + 2*x) + 2*x - 4*x**2 - 2*x in the form b*x**2 + q*x + i and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 divided by -76.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 * 1.53689\nAnswer: 3.381158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23170, -23167, -23162, -23155, -23146, -23135?\n\"Answer: l**2 - 23171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y + 3\/4*y**4 + 2*y**3 + 3\/2*y**2 - 13. Factor o(w).\nAnswer: 3*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 4. Let r(i) = -i + 5. Let b(s) = 2*m(s) + 3*r(s). Let t(a) = -a + 1. Determine 6*b(u) - 42*t(u).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(((-81)\/(-24))\/9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 207.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 6*j - 18. Let d be y(-4). Suppose -r = -3*x + d, 2*x + 4*r - 65 = -3*x. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8380774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.323 + -5.796. Which is the third smallest value? (a) q (b) 5 (c) -1 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and 0.189.\nAnswer: -11.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7617 less than or equal to 9772230\/1283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20831488 to the nearest integer?\nAnswer: 4564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-4)\/r*r\/r**3)\/(r**(2\/3))**(-36))**(26\/3))**(-4) assuming r is positive.\nAnswer: r**(-1768\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/3)\/k**(1\/6)*(k**(2\/3)\/k)\/k**(-1) assuming k is positive.\nAnswer: k**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*v = 18, -7*o = -2118*v + 2117*v + 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*z + 70*z = 765. Calculate the remainder when 87 is divided by z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(189\/(-14)))\/(4\/90). Is (5\/l)\/(2\/12) + 3795 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 36, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.134 minus 3?\nAnswer: -0.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/16)*r**(3\/2)*r*((r\/r**2)\/r)\/r**(-1\/5))**32)**(-1\/22) assuming r is positive.\nAnswer: r**(-141\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d. Suppose 4*x = 3*x + 2. Suppose 0 = 4*a + 3*t + 2*t - 41, 7 = -x*a + 3*t. Let i(k) = -4 - k + a + 0. Give i(w(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 4*z - 7*z**2 + z - z - 2. Suppose -13*l = -47 - 18. Let w(b) = -3*b**2 - b + 0*b**2 - 1 + 0. Calculate l*w(c) - 2*j(c).\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -80 + ((-12265)\/(-165) - 65) + 2\/3\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1110\/1665*(-261)\/6 + 13\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001367273654 to 6 decimal places.\nAnswer: -0.001367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b + 1. Determine t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*s**5 - 1 + (3*s**4 - s**4 + 0*s**4)*(-1959*s + 971*s + 941*s).\nAnswer: -96*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + -29)*42\/(-15).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 404\/3 - 134. Are -0.032 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*j - 5*n, -5*n + 8*n - 14 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 22*r + 174. Calculate u(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m - m)*(-3*m**2 + m**2 + 4*m**2) + 0*m**2 + 0*m**2 + 3*m**3 + (5*m**2 - 2*m**2 - 4*m**2)*(-m - 4*m + 4*m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f - 61. Let s(q) = -8*q - 121. Let g(w) = 4*s(w) - 9*z(w). Let n be g(-16). Let d be n\/10*-8*(-115)\/2. Which is smaller: d or 47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18\/(-4))\/((-6)\/56)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j + 190*j - 2150 = -93*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*p**3 + 0*p**3 - 7*p + 3*p**3 wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10831 - -10836. Let p(r) = -2*r**2 + 3*r - 12. What is p(d)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 60, 122, 222, 372, 584, 870, 1242?\n\"Answer: 2*m**3 + m**2 + 19*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 592471 - -504618. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2. Let c(z) be the second derivative of -z**4\/4 + 5*z**3\/6 + 70*z - 2. Calculate l(c(r)).\nAnswer: -36*r**4 + 120*r**3 - 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 62 = -8*h. Let x = 10 + h. Calculate the remainder when x is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i. Let q(o) be the second derivative of o**4\/12 - o. Give q(n(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 506.5 to the nearest integer.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (90\/10)\/(((-30)\/25)\/(-2)*1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*b - 95 = 0, -p = -3*b + 3793 - 3730 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 8 + (-4 + 1 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1551 or 1546?\nAnswer: 1546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27825 by -3.\nAnswer: 9275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24724 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3267990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*k - 3*g - 253 = -346*k, 0 = -3*k + 5*g + 127. What is the greatest common factor of 4930 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-2 - -4 - -10. Suppose -2*s + 12 = -t. Let y = 2301 - 2297. What is the lowest common multiple of y and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 11*k + 76, 0 = 4*n - 71*k + 67*k - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4 + 4*c + 0 + 6 - 10. Let u(j) = -10*j + 32*j**2 + j + 9*j. What is t(u(x))?\nAnswer: 128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgmm when four letters picked without replacement from {n: 3, s: 2, m: 3, g: 1, e: 3, w: 2}?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 71*k**3\/3 + 5*k**2\/2 + 4*k - 87. What is the second derivative of t(b) wrt b?\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6825134 is divided by 613.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -12*c**2 + 140*c - 142. Calculate v(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*b**3 - 316*b**2 - 872*b - 224.\nAnswer: -4*(b + 4)*(b + 7)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*a + 195 - 27 = 0, 5*n - 2*a - 840 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14574.86778633 - 0.15821367. Let w = p - -14611. Let a = w - 36. What is a rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3509 divided by 29\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 15*i + 15. Let h be r(17). Which is bigger: h or -20?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5167 is divided by 83?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.497 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v + 279 = -17*v - 11*z, -v - 5*z = -0*v + 124 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 1127 - 9597. Let t = v + 758. Which is smaller: -24 or t?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 19 - (1 + 1 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2 = 2*r. Calculate the greatest common divisor of 10 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.7 + -38.8. Let t = -5 + q. Let h = -3 - -5. Which is the nearest to t? (a) h (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-20) - (69 + (-31161)\/470).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/50)\/(352\/(-60) - -6). Factor d*i**2 - 2\/5*i**3 - 6\/5*i + 2\/5.\nAnswer: -2*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0956 + -1.7044. Let v = 0.2 - b. Let d = 7.6 - -0.4. What is the fourth smallest value in -5, v, -3\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169000 and 22360.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -13*y - 28. Calculate the remainder when w(-8) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 44241486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1443 = -2*z - 0*m + m, -5 = -m. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 82 in -15\/17, -2, 0.045, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122616631*n**5 + 31321740*n**2 wrt n.\nAnswer: -7356997860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114522 * -0.5853.\nAnswer: -67029.7266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 838 and 2.049.\nAnswer: 1717.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/147928 and 73\/37183720.\nAnswer: 409020920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.4 (b) -1 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1012686638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05836656 to 4 decimal places.\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 9:01 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 138 and 146 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, k: 3, r: 2, j: 6, l: 5, b: 2}. Give prob of picking 1 b, 1 t, 1 l, and 1 k.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let o(k) = -k**2 + 8*k - 6. Let r(i) = -o(i) + 2*p(i). Let y(x) = x**2 - 5*x + 5. Give 5*r(t) - 6*y(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1408 and 4337664?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w**2 + 3*w**2 - 2*w**2)*(-10 - 11 - 13) - 2*w**2 + 4*w**2 - 3*w**2)*(-6 + 4 + 1).\nAnswer: -33*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 15. Is 12 a factor of w - 6*(-32)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61010 and 0.2.\nAnswer: -61009.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 30 - 15 = 5*p, 5*p - 29 = -2*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 7*z**2 - 7*z + 8. Let w be h(6). Suppose -5*t + t = -80. Let d be 2\/(-5) - (-13)\/t. Which is the nearest to d? (a) -2\/5 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 2:48 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6\/c*c**(2\/9)*(c*c**(2\/5)*c*c)\/(c\/(c\/(c*c*c**(1\/6))*c))*((c**(-2\/5))**12)**32 assuming c is positive.\nAnswer: c**(-13153\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1031 + -62. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 - 11517433 + 11517433.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 57 = 4*m + 3*l, 3*m - 4*l + 46 = 0. Is 88809\/m*(-6)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.194 - 0.194. Let x be (-10)\/14 + 1 - (-99)\/21. What is the fourth smallest value in 1\/25, x, 4, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 1 = c, 0 = 5*c + 6*y - 11*y - 45 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (366\/5)\/(-6 + 19\/5). Let q = k - -17180\/517. What is the nearest to 1 in -5, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((585\/(-30))\/13)\/((-204)\/(-16)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 87560.73ng in micrograms?\nAnswer: 87.56073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8075136.\nAnswer: 2, 3, 17, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331121122101 - -3?\nAnswer: 331121122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1949384 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, 1 x, and 1 e when four letters picked without replacement from eyxxcexeeceecyx?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 12 = -108*f + 110*f, 3*f + n = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-158484)\/(-36)*((-14)\/(-4) - 3). Let x = -242087\/110 + v. Find the common denominator of x and -88\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2825051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008170119 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 427147380 divided by -224460?\nAnswer: -1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3 + 9. Suppose -3*m = 2*q + 2*m - 24, 3*q = 2*m - o. Let z(l) = 2*l**3 - 3*l**2 + 2*l - 2. Calculate z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = 0. Suppose j = -2*m - z*j + 12, -m = -j. Solve -4*a - m*g + 8 = 0, -a + 5*a - 5*g = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((242\/33)\/(-22)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-9)\/(-3)*(-22)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -120 in decreasing order.\nAnswer: -2, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 19*u**2 - 16*u - 9. Suppose 5*t - 3*v = -86, -26 - 57 = 5*t - 4*v. Does 11 divide m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/87 + 1\/58. Let f = -1\/18 + 23\/90. What is the second biggest value in f, 1\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 - 18*q**3 - 44*q**2 + 64.\nAnswer: -2*(q - 1)*(q + 2)*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7921*y**3 - 14*y**2 - 10. Let t(x) = 1584*x**3 + 3*x**2 + 2. Calculate 14*t(o) + 3*v(o).\nAnswer: -1587*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -152817 + -45?\nAnswer: -152861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3 + 1227258*d**2 - 61355400*d = 0.\nAnswer: 0, 50, 409036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -48561000 rounded to the nearest 100000?\nAnswer: -48600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 241630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 1 (b) -1\/12 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.24 and -9557254526.27.\nAnswer: -9557254526.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.06 (b) 11 (c) 15 (d) 0 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 7*g**2 - 8*g + 2 - 5*g**2 + 7*g**2. Let f be p(8). Suppose -3*a - f*a = 0. Solve -2*v + v - 5 = a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410 - 156 = 38*g - 186 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.05 (b) -1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17694 and 5.\nAnswer: 88470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5345692871 to the nearest integer?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 5*n - 4. Let t be g(7). Let p = t - 0. Let i be -2*9\/(-6) - 1. What is the highest common divisor of i and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 219518*f**2\/9.\nAnswer: 2*f**2*(f + 109759)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476562779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 13797?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2 + 2, -3*s + 14 = 4*q. Suppose -4*o - i - 3*i = -8, -s*o + 4*i = 20. Which is the closest to -7? (a) o (b) 0.1 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l**3 + 2*l**2. Let j be z(2). Let f = -102 - j. Let d = -12 - f. What is the remainder when 33 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 86\/7, -1.771, 2.\nAnswer: -1.771, 2, 86\/7, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -0.3692706\nAnswer: 0.033234354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -35 - -19) + (18 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:03 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*c**5 + 2 + (-3*c + 4*c + 0*c)*(0 + 0 + 2*c**4)*(-5 + 2 + 1).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 11*d = -63. What is the second biggest value in d, -0.5, 0.03, -6\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/8))**(1\/30)\/(v**(-15)\/v**(10\/3)) assuming v is positive.\nAnswer: v**(1469\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 18 = 2*d, -2*d + z = -1 + 15. Let v be (d - -5) + -1 - (-10 + -2). Solve 2*o + v*x - 3*x = 0, 0 = o + 4*x - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Let i(z) = 5*z**3 + 2*z + 2. Let x(w) = 21*w**3 + 3 + 26*w + 4 - 7*w - 10*w + 2. Determine f*x(r) + 9*i(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (122931\/174)\/(-157)*(-3)\/(-27)*1*46?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.536894ml to litres.\nAnswer: 0.000536894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 7*o - 39. Let x be u(-5). Let t(j) = -42*j - 42. Let b be t(-11). Calculate the greatest common factor of x and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/135)\/(10\/75*-5)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2. Let d(a) = -91*a**2. Let k(t) = -91*t**2. Let p(j) = 4*d(j) - 3*k(j). Determine p(l(c)).\nAnswer: -819*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204*w**2 - 57*w**3 - 13*w - 2 + 204*w**2 + 4*w to p*w + h*w**3 + m*w**2 + f and give h.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 7*v. Suppose -4*r + 84 = -4*j, -100 = -4*r - v*r - 4*j. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(((-126)\/(-60))\/21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 27*x**2 - 34*x - 41. Is a(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*q**2 - 224*q**3 - 356*q**2.\nAnswer: -224*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 6*b**2 - 2*b + 6. Let d = -114 + 162. Suppose -59*l + d = -58*l. Let x = l + -42. Determine u(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.3 - -1.3. Let k(m) = m + 7. Let f be k(-9). Sort 0.5, f, a in decreasing order.\nAnswer: 0.5, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -23. Solve 5*k + 2*b + 7 + 2 = l, -3 = -k - 2*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4*b + 3*b)*(26*b + 10*b + 22*b) + (-2*b + 0 + 0)*(-3*b + 3*b - b).\nAnswer: -114*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 12*k - 82. Suppose 7*l + 8*l = -165. Let s be y(l). Calculate the greatest common divisor of s and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {o: 1, r: 2, w: 1, d: 3, q: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1488.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 9*k - 13. Let d be a(10). Let v = d + 11. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1494616 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/7)\/c*c*c*c**8)\/((c*c**10)\/c**(1\/4)) assuming c is positive.\nAnswer: c**(-73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 0)*2\/6. Let i = 2 + -2. Let v be 3 + i + (115 - u). Calculate the highest common divisor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011110001001011 - 1001?\nAnswer: 100011110001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 1, h: 1, v: 1, c: 2, s: 1}. What is prob of sequence ocs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34 + 0.12. Let o = f + 0.21881. Round o to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252 + -255. Let p be 32*(1 - 0\/r). What is the highest common factor of 104 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 - -65. Let p = 61.8 + -35.2. Let r = k + p. Which is the nearest to -0.9? (a) -1 (b) 2\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 0.08061.\nAnswer: -2.91939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18826, 18814, 18802, 18790, 18778?\nAnswer: 18766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 + -189. Suppose -5*u = 4*g - 168, -y = 3*u - g - 118. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113232 is divided by 153.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4122 (base 6) to base 4\nAnswer: 32102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5371*h - 256 = -5387*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 351\/(-135) - (-1 + -1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 9. Let m(h) = h - 6. Let b be m(o). Is -1\/3 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Is (7 + -6)\/(t\/70) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {g: 1, b: 11, p: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 1:06 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 76 - (41 - -22)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 26\/9, -8, -68, -1, -31\/3?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 153093612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*u = 182*u - 92. Let l = -90 - u. Suppose q + l*j + 1 = 2, 4*q + j - 32 = 0. What is the lowest common multiple of 4 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = -0*i - 2*i. Let a = i + 380. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/30 + 11*w**4\/12 - 7*w**3\/6 - 7*w**2. Let y be z(-11). Let a(u) = u**2 - 31*u. What are the prime factors of a(y)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 6. Suppose -2*k - 3*k - 55 = 0. Let x(s) = -s + 2. Calculate k*x(w) + 4*v(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w + 51. Let a(x) = -2*x**2. Determine s(a(m)).\nAnswer: 16*m**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 20. Let y be 46\/(-14) - (m + -11). Let j = -0.232 - -1.232. Are y and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -33. Suppose -2*s + j + q = 4*j, 5*s = -j + 87. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11001001011111101111110 (base 2) to base 12\nAnswer: 2264b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 = 4*u + 5, -6*u + 8 = 2*c. Solve -2*i - 5*g - 1 + 6 = 0, u = 3*i - 5*g + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 126792556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -37, 4, -4, 0, -315 in descending order.\nAnswer: 4, 0, -3, -4, -8, -37, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + ((-3688)\/(-4) - (-3 + 8)).\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166 < 832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30726\/5 + 6165. Let s(w) = -3*w + 10. Let f be s(10). Let q = v + f. What is the second smallest value in 0.4, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165 + 58*g + 165)*(-g - g + 4*g) + (1 + 1 - 4)*(-4*g**2 + 4*g**2 + 2*g**2).\nAnswer: 112*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 7) to base 12.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/38 and 1\/2 - (-273)\/(-48).\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (850\/42500)\/(3\/(-5))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*c - 552*c - 742 + 742 - 246*c.\nAnswer: -446*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -32719, -2?\nAnswer: -32719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) + 44\/7. Suppose -o*m - 1517 = 667. Let s be (m\/42)\/((-2)\/450). What is s rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-1\/3))**(-1\/93)*(((l*l**2)\/l)\/l)\/(l*(l**10*l)\/l))**(-3\/38) assuming l is positive.\nAnswer: l**(2797\/3534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 351*v**3 - 13*v**2 - 11863*v wrt v?\nAnswer: 2106*v - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 + 141. What is the second derivative of -3*w + 29*w**2 + 37*w**y + 81*w + 69*w**2 wrt w?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 3 - 3) + 1\/1. Let z be (-105)\/(-33) - ((-27)\/33 - s). Suppose -2*c + 431 = -5*g, 2*g = -4*c - z*g + 877. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 106*u + 2906. Let q be k(-27). Solve -33*m + 44*m = q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-294))\/(43\/8428*56).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**3 - 5*b**3 + 2*b**2 - 2*b + b**3 - 1. Let k be s(-2). Differentiate -1 + 5 - k + n wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**7\/2520 - 7*m**6\/720 - m**5\/15 - 31*m**4\/12 + 35*m. Let c(g) be the third derivative of n(g). Factor c(d).\nAnswer: (d - 8)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1705 is divided by 51?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0.05, -8435, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11111 (base 2) to base 9\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/17)\/(q*q\/((q*q\/(q\/(q**(3\/4)\/q))*q*q)\/q*q)*q)*(q**0\/q*q)**(-34))**(4\/21) assuming q is positive.\nAnswer: q**(-3\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7465*b**3 + 9*b**2 - b - 1. Is o(-1) a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 7:11 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 6*p - 5*t + 300, 0 = -3*p + 3*t + 300. Calculate the greatest common divisor of 1150 and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 33. Suppose 2*r + y - 129 = 0, 0*r - r - 2*y + g = 0. Suppose 9*p = 4*p + r. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 1\/6, 2\/3, -34\/103, 0?\nAnswer: -34\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190 is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -326, -1299, -2912, -5159, -8034?\n\"Answer: q**3 - 326*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3565 (base 11) in base 12?\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from nnlnlln?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-20 - -14) + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 29*f - 244. Calculate d(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22524.0026273 - 22524. Round w to five dps.\nAnswer: 0.00263","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68 and 359?\nAnswer: -24412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let h be d(2). Let p = h + 75. Suppose -5*z - 15 = 0, -2*u + 6*u - p = -z. Solve -4*o - u = -4*m, -m + 3*m - o - 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 15 = -r. Suppose 9 = r*q - 3. Solve 4*p - 16 = 0, -2*n = -q*p + 3*p + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 2 a when four letters picked without replacement from {y: 7, d: 1, e: 2, w: 4, a: 3, x: 1}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17459110 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 5*u + 18. Suppose 2*v = -u*t + 2*t + 6, -t + 2 = v. Sort 3, v, -10 in decreasing order.\nAnswer: v, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.5, -1993?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20410\/1365 - (-3)\/63?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -732 + 734. What is the derivative of -17*s + 120 + 13*s - 11*s - 26*s - z*s wrt s?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223400 divided by 55850.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1888, -5, 2, -2, -4.\nAnswer: -5, -4, -2, 2, 1888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(1700) - -2*sqrt(1700)) + 0 + sqrt(1700) + -1) + -4)*5)**2.\nAnswer: -24000*sqrt(17) + 2720900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*v - 4*a, -3*a = 5*v - 15 - 7. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441787?\nAnswer: 441787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*d + 1 - 2*d + 1 - 4 - 3*d in the form t*d + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1089 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -505 + 507. Suppose -10\/3*h - 2 - 2\/3*h**a + 2\/3*h**3 = 0. What is h?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-12))\/((-1)\/(-12)). Let s = -1.39 - -1.09. What is the closest to -0.1 in s, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, l: 2}. What is prob of picking 2 l and 1 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1933 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 41. Let o(a) = a + 123. Let k(d) = -7*i(d) + 2*o(d). Let q be k(-18). Let p = q + 140. What is the greatest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 27b03a?\nAnswer: -27b041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 897 = 5*f, f + 3*v - 117 = 70. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76\/63 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q - 0. Suppose n = -4*n + 15. Let b be n\/(5 - 2)*33. What is the greatest common divisor of q and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430378411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 300*p**2 + 11*p + 338. Let m(i) = -599*i**2 - 24*i - 676. Let j(h) = -6*m(h) - 13*y(h). Find the second derivative of j(k) wrt k.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 117*w + 405. Give q(-55).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -189 + 189 - (-3 + (-1 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/3)*g)\/(g**(-3)\/g))\/(g*g*g\/g**1)**(-43\/3))**(-21) assuming g is positive.\nAnswer: g**(-700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*o + o. Suppose -o*s - 40*k = -42*k - 159, -s = -2*k - 35. Calculate the greatest common divisor of 155 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g = -49*g + 1624. What is the greatest common divisor of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -20 - (12 - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-46)\/(-207) - 436\/18). What is the greatest common factor of o and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 8. Suppose 14 = 2*t + 4. Let h(n) = -n - 4. Determine t*h(l) + 2*z(l).\nAnswer: l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 977, -11, 32, -1 in descending order.\nAnswer: 977, 32, 3, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -433*r**2 - 798*r + 137. Calculate l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34002926.\nAnswer: 2, 37, 607, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1040 and 1782560.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 9:47 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 518786 to the power of 1\/2, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -9 + 7 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-6 + 9 + -7) - (-4 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/11*-1)\/((-2)\/(-39)). Let o = 802\/55 - b. Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-544))\/((-15)\/40)*-1*6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6 times 95?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 294179081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*x - 8, 0 = l - 3*l. Let f = -2 + 3. What is the nearest to 1 in f, x, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 0, -221414 in descending order.\nAnswer: 0, -85, -221414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*o**2*y**3 + 2*o**2*y + 206766*o**2 + 5*o - 671817*y**3 wrt o?\nAnswer: 80*y**3 + 4*y + 413532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3. Suppose 0*f - f = r. Put -2, 5, f in increasing order.\nAnswer: -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 176913, 706439, 1588579, 2823333, 4410701, 6350683, 8643279?\n\"Answer: 176307*z**2 + 605*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/29328 and 73\/520?\nAnswer: 146640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*c - 17. Suppose 3*f + 8 - 35 = 0. Calculate the greatest common factor of c and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99039, 99037, 99035, 99033, 99031, 99029?\nAnswer: 99027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664940 = 188*f + 11*f + 822187. Sort 0.3, 1, f in decreasing order.\nAnswer: 1, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2 - 2. Suppose 5*i - u = 8. Suppose -18 = -2*w + 5*p + 14, -4*p = i*w - 14. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190370?\nAnswer: 2, 3, 5, 39679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 13*i + 102. Calculate q(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135 - (58 + (77 - 169))) + -14 + 1 + -1?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l + 47 = -39*l - 1816 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 65 - 80 = 0. Let v be r + 0 - (-5 + -3). Solve u = v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313300232 + -101?\nAnswer: -1313300333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Round -2692.279158 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 1484?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 13*x**2 + 20*x - 14. Let c(b) = 2*b**2 + 9*b + 18. Let f be c(-4). Does 11 divide q(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 - 5?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7175*i - 205. Let n(w) = 211*w - 6. Calculate 205*n(a) - 6*x(a).\nAnswer: 205*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 2*h**2 - h**2)*(2*h - h + 2*h) + (-2*h**2 - 2*h**2 + 5*h**2)*(6*h - 1 + 1).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20770190 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + v + 1. Let g(i) = i**2 - 2*i - 2. Let f(b) = -g(b) - 2*z(b). Let h(s) = -716*s**2. What is f(h(m))?\nAnswer: 512656*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 12. Let y be b(-8). Suppose -2*s - 2 = -y*s. Suppose -w - 6 + s = 0. Put w, 0, 2 in descending order.\nAnswer: 2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -984*z - 1948. Give n(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8832 - -8837. Let p = 4 + -3. What is the remainder when p\/(-6) + 115\/6 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**3 - 35*h**2 + 11*h - 175. What is j(10)?\nAnswer: 2435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 9*o**2 + 3*o - 2. Let b be j(-8). Factor -522 + 132*q + 10*q**2 + b - 514.\nAnswer: 2*(q + 13)*(5*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3213212 (base 4) to base 16\nAnswer: -39e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 24 - 19 = 0, 0 = -5*b + 4*y + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26354*o**4 + 2*o**2 - 25*o + 15522517 wrt o.\nAnswer: -105416*o**3 + 4*o - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 1\/60*f**5 - 1\/12*f**4 + 0*f + 2*f**2 + 2\/3*f**3 + 0 + 1\/120*f**6. What is l(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115628 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z*z**(2\/19))\/z))**(-4\/3)\/((z*z**(2\/7)*z*z)\/z)**(1\/58) assuming z is positive.\nAnswer: z**(-9896\/3857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -12. Suppose 0 = -4*s + 20, -22*k = -18*k - 4*s - 12. Let p be (-8)\/2 + (k - o). What is the nearest to 5 in p, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + 3 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, 84, -3, -47, -1 in descending order.\nAnswer: 84, 8, 4, -1, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*g - 0*g. Let l be (g - 0)*2\/(-5). Let m(f) = 19*f**2 - 3*f + 2. Let s be m(l). Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.8 + -3.2. Which is the closest to -2? (a) o (b) -0.1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11785561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 8:03 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*d**5 - 60496*d**4 - 6755556*d**3 - 177734816*d**2 + 267925104*d - 83374272 = 0. What is d?\nAnswer: -54, 4\/9, 1, 1787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1059*n + 3170. Calculate k(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -131287, -131282, -131277, -131272, -131267?\n\"Answer: 5*p - 131292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 6*c**2 - c + 3. Let y = 12 + -10. Suppose -o - y*o = 0, 0 = -3*i - o. Suppose 0 = -2*f + b - 17, 4*b - 22 + 2 = i. What is j(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 2*k. Suppose 3*i - 129 - 177 = k. Calculate the remainder when i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*d + 2185 = 0, -4*d - 1732 = 4*x - 8*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -293 - -197. Suppose -23*m - 4*v - 96 = -22*m, -8 = -4*v. Let l = w - m. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5 + 3*p**4 + 6*p**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12*z**2 + 10. Let y(p) = -7*p**2 - 6. Let b(t) = 3*a(t) + 5*y(t). Let m(d) = 0 + 0 - d**2. Calculate b(m(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ctzcczmtcz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 36, -54, -146, -240?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**5\/11 - 5332*g**4\/11 - 132294*g**3\/11 - 643700*g**2\/11 + 169024*g = 0.\nAnswer: -2641, -16, -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(-1\/6))\/a))\/a*a**16\/a)\/(a*a**3*a**(-10)*a) assuming a is positive.\nAnswer: a**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/7*a + 2\/7*a**2 + 32\/7.\nAnswer: 2*(a + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 800 or 1874838\/2341?\nAnswer: 1874838\/2341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 12:12 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 17322?\nAnswer: 5\/17322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 89*j**3 - 8*j**2 - 26*j + 291. What is the ten thousands digit of d(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1406\/57)\/(2\/9). Put g, 3, -4 in decreasing order.\nAnswer: g, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 180421?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(30)\/sqrt(6) - sqrt(5))**2*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*i**4 + i + 48*i**4 + 0*i**2 + i**2 + 0*i**2 - 1 to y + v*i**4 + k*i + w*i**3 + l*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k + 1. Let h(j) = 5*j + 2. Let q(u) = 3*h(u) - 2*v(u). What is the tens digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 5*y + 1. Suppose -5*g + 26 + 4 = 0. Let d = -1 + g. Let k be w(d). Which is smaller: k or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, 1, 18, -115 in descending order.\nAnswer: 18, 1, -5, -11, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7996 = -1369*y - 22803 + 5236 - 23285 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*h**4 - 2*h**2 + 89338*h + 29470891?\nAnswer: -60*h**3 - 4*h + 89338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1477 divided by 299048.\nAnswer: -1477\/299048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32117691\/770 - -208564\/5. Let f = y - 1\/77. Which is the closest to 0.16? (a) -0.5 (b) f (c) 1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 12:06 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(15\/(-2))*-33*10\/(-330)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2019, -6419, -13197, -22347, -33863, -47739, -63969?\n\"Answer: n**3 - 1195*n**2 - 822*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*o + 1316 - 106 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40667227?\nAnswer: 389, 104543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (540\/(-8))\/((-711)\/240 + 3). Round g to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4128 and 133068660?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*-3*(-1)\/(-2). Let b = c + 5. Determine g, given that -4*g**2 + b*g**3 + g**4 - 4*g**3 + 5*g**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -k + 4, -3*l - 7 = -2*k + 1. Suppose -3*y = -2*x - y - 12, -k*x + 12 = 5*y. What is the second smallest value in 1\/2, x, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + sqrt(637) - (sqrt(637) - -6*-1*sqrt(637))) + 2.\nAnswer: 3 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 + 11*z**2 - 6*z + 6*z - 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j - 10*j + 5*j**4 + 5*j wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = -8, n = w + 2. Let p(i) = -i**2 + 3*i - 2. Let m be p(3). Let f = m + n. Sort -2, f, 1 in decreasing order.\nAnswer: 1, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1964623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9795 - -22402. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 621, 987, 1407, 1893, 2457, 3111?\nAnswer: 3867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v**3 - 7*v**2 + 19*v + 5. Let q(h) = -9*h**3 - 8*h**2 + 18*h + 6. What is 6*k(u) - 5*q(u)?\nAnswer: 3*u**3 - 2*u**2 + 24*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18\/31 + -811\/62. Let t = -604 - -5455\/9. What is the common denominator of t and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 7\/360*o**6 + 1\/72*o**4 + 0*o**3 - 2*o + 6*o**2 + 0 + 2\/45*o**5. Suppose c(l) = 0. Calculate l.\nAnswer: -1, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose -3*q - a*c - 29 = -38, 0 = 5*q + 4*c - 16. Solve 0*v + 12 = q*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let s = -14 - -14. Let t(n) = 0*n - 3*n + 4*n + s*n. What is t(v(f))?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/(u\/(u**(-3\/7)*u)))\/(u*u*u*u**(-2)*u**(-4\/3)))**20 assuming u is positive.\nAnswer: u**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -894*k - 117*k + 2182*k.\nAnswer: 1171*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**5 - 42*f**4 - 180*f**3 + 864*f**2 = 0?\nAnswer: -6, 0, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*s - 4 = 0, v + 7*s - 4*s + 8 = 0. Let x = v + 2. Suppose -2*m + 5 = g, -2*m - 2*g + 2 + 4 = x. Is -0.2 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*t**3 - 66 + 66 + (2*t**2 - 1 + 1)*(4*t - 5*t + 0*t))*(-5*t + 4*t - 12*t).\nAnswer: -767*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16268\/3 - 5962. Let w = i + 1129\/2. Find the common denominator of 4 - (-5)\/(120\/(-604)) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 17 + 19. Solve 0 = -5*p + t*u - 36, 0*p + 4*p + 5*u - 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1111\/78 or -13?\nAnswer: -1111\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49043 = 4*r - 75011. List the prime factors of r.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -69a960 - 89?\nAnswer: -69aa29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lai when three letters picked without replacement from {a: 3, l: 2, g: 1, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t**3 - 9*t**2 - 9*t - 4. Let h(x) = -5*x**3 - 4*x**2 - 4*x - 2. Suppose -3 = 3*j + 9. What is j*f(r) + 9*h(r)?\nAnswer: -r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*l + 21*l + 7*l + 17*l + 10 in the form w*l + h and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -1\/2 (c) 1 (d) 1.834 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 3 - 2\/(-1). Suppose 4*f + 145 = 5*q + m*f, 0 = 4*q + 5*f - 116. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0166, 3, 133.\nAnswer: 0.0166, 3, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from {d: 8, e: 4, y: 1, v: 7}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29025 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 3:31 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + 4*l)*(3 - 1 - 1)*(7 - 11 + 7).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + w**2 + 2*w**3 - 7*w**2 + 8 as c*w**2 + y*w**3 + p*w + h and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 6*w + 26. What is q(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/10, -2, 43, 36\/73 in descending order.\nAnswer: 43, 36\/73, -7\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -2\/4225, 5?\nAnswer: -2\/4225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 13. Let n be u(-19). Let o be 28\/10 + n\/(-11) - -1. Let d = 41\/116 + -3\/29. Which is the nearest to o? (a) d (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/i)\/((i*i*i**(-1\/8))\/i)*(i\/i**3*i)\/((i*i**(-1))\/i))\/((i**2*i*i)**(-4)*(i**1)**(3\/2)) assuming i is positive.\nAnswer: i**(125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1004?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*v - 18*v - 3795. Suppose 0 = -98*x + v*x - 595. Calculate the remainder when 117 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -914*-12\nAnswer: 10968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*z - 111*z - 312 = 0 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*v**2 + v**2 - 31 - 5*v**2 to the form n*v + r*v**2 + m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18600823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k**2 + 3*k - 3. Suppose 0 = 40*x - 755 + 155. Let t(p) = -p**2 - p + 1. Give x*t(h) + 5*s(h).\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21047, -21127, -21297, -21587, -22027, -22647, -23477, -24547?\nAnswer: -25887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12594.6 * 0.2.\nAnswer: 2518.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-238)\/595*715\/(-4). Which is smaller: t or 72?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 - 6\/15. Let h = 1.4 - 1. Put f, 1, h in descending order.\nAnswer: 1, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let m(s) = s**3 + 2*s**2 + 7*s + 7. Let i be m(-3). Sort 2, k, i in decreasing order.\nAnswer: 2, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*i - 21. Suppose -i*k + 42 = 10. Is (-27)\/36 - (-1134)\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68757.822 seconds in days?\nAnswer: 0.795808125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -482, -37 in decreasing order.\nAnswer: 5, -37, -482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 + 7*d**2 + d**2 - 2*d**2 to u*d + r + s*d**2 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.5 - -24.1. Which is the fourth smallest value? (a) -0.4 (b) 2 (c) 3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 149? (a) -2\/63 (b) -0.4 (c) 5\/2 (d) 1 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7934540 divided by -1835.\nAnswer: 4324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 = 0, -4*h + 0*h = 4*s - 168. Suppose -o + 6*o - s = 0. Let l(v) = 2*v + 7. What are the prime factors of l(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -387 - -402. Suppose 20 + j = 4*i + n, 4*n + 4 = 0. Which is the smallest value? (a) -4 (b) i (c) -3 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-7)\/((-21)\/(-9)). Do w and -1\/28 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2240273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 5 - -1 - (-7 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*j**3 + 33*j**3 + 15 - 14)*(1 - 3 + 1)*(2*j - 3*j - j) to the form d + i*j**3 + l*j**2 + m*j**4 + a*j and give m.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 92 = 3*r, 2*y - r - 23 = y. Let o(k) = y*k**2 - 2 - 23*k - 34*k + 51*k. Is o(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -3. Let t = h + 25. Calculate the remainder when 38 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u + 55. Suppose 27*d - 22*d - 35 = 0. Let k(r) = -7*r - 37. Let s(c) = d*k(c) + 5*o(c). Give s(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141236157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 8*z - 20. Let a be q(-10). Let d = a + 127. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) 67 (b) 3\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5*n = 45, 24*v - 25*v - 29 = 6*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}