diff --git "a/data/dm_maths/full_data/1793_11255.jsonl" "b/data/dm_maths/full_data/1793_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1793_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 4919406871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.34712 and 0.5.\nAnswer: 9.67356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:41 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 25*z**2 + 15*z + 30. Determine p(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48839 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*h = 0, -2*f = 2*f + 3*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3300321 + 31?\nAnswer: -3300230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2912.546 + 2915. Let m = -2.4 + i. Let p = -2.054 + m. What is the nearest to 3 in 0.1, p, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 7457527?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 5:47 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 21*t + 56. What is i(-23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -i + 6 - 0, -3*i = m - 4. Let t be (-3)\/i + (-3)\/6. Is t at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050*f = -3844*f + 47326 + 85698 + 129612 for f.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9247 + -1?\nAnswer: -9248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 61\/2 (c) -229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**4*x - 48281*u**2 - 831667*x wrt u?\nAnswer: 8*u**3*x - 96562*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*x**4 + 2*x**4 - 9 + 2*x**4 - 11*x**4 wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -8. Suppose 132 = 2*j + 4*c, -2*j - 2*j - a*c = -273. Suppose 5*o = 453 + j. Calculate the highest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s - 89 - 143 = 0. Let x = s - -29. Solve -3*k + x = -4*l, 5*k - 2*l - 12 - 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 + 21 = 0. Suppose -2*b + 2*o = -0*o + k, 2*o + 5 = -5*b. What is the third smallest value in 5, -1, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 36*o**2 - 5*o - 10. Give w(-17).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -240858 - -33238553\/138. Let v = 215597\/22 + -9798. Calculate the common denominator of v and g.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccrr when four letters picked without replacement from srcrcrrrrrrcrccrcc.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39008339198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 534241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.1 + -5.2. Let x = 9 + -12. Which is the second biggest value? (a) x (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5778143779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + 0. Let y(d) = 1202*d - 7192. Let w be y(6). Calculate the highest common divisor of g and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 + 3*f**3 - 4*f**3 + 40*f**3 + 26*f**3 - 50*f**3 + (-3*f - 2*f + 3*f)*(-2*f**2 + 2*f - 2*f) - 1 + 1 - 8*f**3 + 2*f**3 - 2 + 2.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3661 (base 8) to base 14.\nAnswer: -a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*o - 4*o**2 - 1168*o - 58*o to l + f*o + s*o**2 and give f.\nAnswer: -1294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1194 or -1257?\nAnswer: -1257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0 + 1\/135*r**6 + 0*r**4 + 0*r**3 + 48*r + 0*r**2 + 1\/189*r**7 + 0*r**5. Factor p(n).\nAnswer: 2*n**4*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -4 + 9 - (0 + -1). Let z(n) = -n + 13. Determine z(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/58 and -23\/1740?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**5\/150 - 4*l**4\/45 + 16*l**3\/45 + 44*l. Solve a(k) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 277 (b) -0.3 (c) -67\/2 (d) -5 (e) 0.03 (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 168, 351, 520, 675, 816, 943?\n\"Answer: -7*v**2 + 204*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 258639981 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 2*l**5 + 2*l + (-118*l + 67*l + 59*l)*(-29*l**4 + 26*l**4 + 43*l**4).\nAnswer: 322*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, -8, -70\/59, 0.4, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 276 - 274. Let v(r) = 2*r**i - r - 2*r**2 + 5*r**2 - 6*r**2 + 8 - r**3. Give v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -741508859*n**4 + 186783630 wrt n.\nAnswer: -2966035436*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = l, 2*x - l + 6 = -0. Which is the smallest value? (a) -2\/11 (b) -33 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -0.1, 3\/7, 4962, -4 in ascending order.\nAnswer: -4, -0.1, 3\/7, 14, 4962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(605))**2 + 1 - (sqrt(1125) + 3).\nAnswer: 29*sqrt(5) + 607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -5, -2\/415?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 6*z - 4. Let t be q(2). Suppose -t*g - 5 = -21. Suppose -109 = -5*d + g*o, -3*o - 1 = d - 19. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 1150667.\nAnswer: 11506670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 749982 a multiple of 523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7748\/1761 smaller than -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2. Let o = -2 + 4. Let f(v) = -1 - 6*v**2 + 1 + 3*v**o. Give f(i(j)).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 18.1053\nAnswer: -18.2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 2229?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 8:10 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.9957 - -0.0043. What is the smallest value in o, 1\/5, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 0.895, -1, -826, 17?\nAnswer: 0.895","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) -25\/3 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4\/5 - 532329*l**3\/5 - 23611585527*l**2\/5 + 259805698869*l\/5 + 614053481262\/5 = 0.\nAnswer: -88727, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 20*c - 46*c + 24*c - 1 - 6. Let i = -4 + -1. List the prime factors of y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-20) + (-2)\/(-10). Suppose 4*b - 3*q = 6, p = -3*b - q - 2. Solve -5*l - 5*g - 35 = 0, 0 = -b*g + 2*g + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 4 - 15 + 11.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(40)\/sqrt(8) + -2 + 5.\nAnswer: 3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 3. Let b = i + 6. Suppose -b*o = -0*o - 445. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 + 439*r - 1456. Calculate o(105).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 3755790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29026412159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axmm when four letters picked without replacement from mamtxtmtmmtmbtmmtmtt?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -220 - (-62 - 46) - -83?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -52851\nAnswer: 21140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1675.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 l when three letters picked without replacement from yyylyll?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4868 by -58.\nAnswer: -2434\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -222*w - 82*w + 206*w - 371*w as z*w + p and give z.\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39450 is divided by 607?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 3246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-14) + -3 + 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*(-16)\/(-12). Let s be -4 - q - 5\/(-2). Let d be (4 - (-44)\/(-10))\/((-12)\/5). What is the smallest value in 1\/5, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) -4 (c) 1\/2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 3) + (-288 - -250).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4 + sqrt(475)*-1)*-2)**2.\nAnswer: 80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8902547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3696, 9495, 15294, 21093, 26892, 32691?\nAnswer: 38490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 2*t**2 + t + 20. Let y be c(0). Let s be (6\/(-5))\/((16\/4)\/y). Let r(z) = -2*z - 6. Let w be r(s). Solve 3*n = 5*n - w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72135 = 7276*m - 277843 - 274508 for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 + 144. Let z = 2.04 - 0.04. Which is the biggest value? (a) i (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 + 2*o - 1. Let d(v) = v**2 - 2*v + 6. Let g be d(3). Suppose y = -2*f - 0*f - g, 3*y = 3*f. What is the tens digit of l(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(6*(sqrt(84) - -4*-4*sqrt(84)))\/(sqrt(36)\/sqrt(3)*-3*-3))**2.\nAnswer: 6298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than 11388.2138?\nAnswer: 11388.9138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1333 = -d, -8*d - 12 = -5*d. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.3 in -4\/9, -2, -1, -156?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*x - 136*x + 10, -3*x = -5*z + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(170) + (sqrt(170) - (sqrt(170) + (sqrt(170) - (sqrt(170) - 1*(sqrt(170) + 5*sqrt(170)) - sqrt(170)))))))\/(sqrt(20)\/(sqrt(8)*-4)).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -5 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 407.3023ug?\nAnswer: 0.0000000004073023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38277329 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65460*s = 65455*s - h - 56, 46 = -4*s - 4*h + 2*h for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -913, -2752, -5515, -9202, -13813, -19348?\n\"Answer: -462*r**2 - 453*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10694*d**4 + 3021 wrt d.\nAnswer: -42776*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2 + 1)*(447*g - 447*g + 27*g**2).\nAnswer: -216*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -25364580 and 1260.\nAnswer: -25363320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1298947663 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35257953.\nAnswer: 3, 1571, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*j**4 - 3\/4*j + 0 - 1\/4*j**2 + 3\/4*j**3 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49738 + -30111. What is the greatest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imtigtgcgiiggggg. Give prob of sequence gt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c + 5*w - 45, 0 = 2*c - w - 68. Suppose a = 1, 5*a - c = -s + 4*s. Let q = 18 + s. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trvtdrvdttvrtvdd. What is prob of picking 1 r, 1 v, and 1 d?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1068*y - 9756. What is f(-9)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152 + 463*o**3 - 594 + 188 - 1501*o**3 with respect to o.\nAnswer: -3114*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -59. Suppose 77 = 4*w - b. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2*8\/(-12). What is the lowest common multiple of 3 - 0\/l - -1 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -18007.7.\nAnswer: -18012.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -122*d - 549. What is m(-5)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7 = x, -3*l - 34 = -5*x - 0*x. Let j be 3\/4*2*4. Let g(w) = -w**3 + 4*w**2 + 11*w + 6. Let s be g(j). Solve -x*a + 3*a + 2 = s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1513800, -6055211, -13624230, -24220857, -37845092, -54496935, -74176386?\n\"Answer: -1513804*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35392 by 1169.\nAnswer: 5056\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 94 - 6)*(2*g - 5*g + 2 + g)*(0*g**2 - 2*g**2 - 5*g**2) in the form z*g**3 + m*g + y*g**2 + a and give y.\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0052 - 0.4052. Let m = 816 + -809. Which is the third biggest value? (a) m (b) 0.2 (c) x (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**3 + 3 - 2*p**4 + 6*p**3 + 11*p**3 - 20*p**3 - 3*p**2 + 0*p**2 to the form n*p + y*p**2 + d + b*p**4 + t*p**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqvqsssekvvsqsv. What is prob of picking 2 s and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, q: 3, p: 10}. Give prob of sequence ppqp.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*x - 115*x + 4873196. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 41, 311, -2 in increasing order.\nAnswer: -4, -2, 1, 41, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -2*u + 135 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*i + 3*p, 3*i - 5*p - 2 = 15. Which is greater: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04907376 rounded to three decimal places?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9449.736 years in centuries?\nAnswer: 94.49736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (4\/(-6))\/(12\/(-486)) and -1*(-12*(-16)\/(-320))\/((-2)\/(-50))?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 5*x**2 + 6*x + 3. Let m(h) = -h**3 + 4*h**2 - 5*h - 2. Let j be (1 + 1)\/(3 + 5\/(-2)). Give j*f(a) + 5*m(a).\nAnswer: -a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 3*f - 10. What are the prime factors of z(7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (0 + 3 - (-4 - -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 54. Suppose -2*v + 7*v + 2*z = 8, 9 = j*v - 3*z. Solve -v = -g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 107*l**2 - 200*l**4 - 34 - 87*l**2 + 198*l**4 + 2*l - 2*l - 2*l**4 + (0*l**2 + 0*l**2 - l**3)*(-3*l + 0*l + 4*l).\nAnswer: -5*l**4 + 20*l**2 - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -99, 5 in decreasing order.\nAnswer: 5, 2\/15, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35073965?\nAnswer: 5, 23, 37, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1\/884756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 9*m**2 + 9*m - 5. Is g(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (300\/(-9))\/((-4)\/(-126)). Suppose -4*b = o + o + 10, -2*o + b = 10. Find the common denominator of -49\/22 and -1 - (k\/(-32))\/o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 4*k**2 - 2*k - 9. Calculate z(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053379 is divided by 110?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 122 in -137, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -45. Let v be ((-12)\/u)\/((-2)\/12). Solve 5*p + v*y - 37 = 0, 5*y = -3*p + 2*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 10 = 8*p. Suppose -c - 5*u + 41 = 2*c, p*c - 19 = 5*u. Does 12 divide (-9)\/((15\/c)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57850 at most as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j + 30. Let x be z(9). Let d be x\/15 + (46\/(-10) - -5). Let b = -3 + 4. What is the nearest to d in 5, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3374238?\nAnswer: 2, 3, 7, 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {j: 4, l: 3, s: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 4*p + 5. Let i(u) be the first derivative of -3*u**2\/2 + 6*u - 288. Calculate -2*d(m) + 3*i(m).\nAnswer: -2*m**2 - m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -196 + 214. Calculate the remainder when 38 is divided by 2\/(110\/(-900) + 4\/g).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*p**2 - 358*p**2 + 39*p**2.\nAnswer: -280*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2044798174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/8 + 31*t**4\/8 - 4*t**3.\nAnswer: t**3*(t - 1)*(t + 32)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102543 is divided by 25557.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4361467.000054 - -4361489. Let x = -0.39 + -21.61. Let n = x + p. Round n to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*y = 2*d + 20, 0 = -2*y - 4. Let g = -265\/7 + 38. What is the nearest to -0.1 in d, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*s - 3535 = 0, -67*n - 3*s = 67*n - 130*n + 85 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13\/(-39))\/(2*(-3)\/126). Let l(u) be the third derivative of 3*u**2 + 0*u - 1\/270*u**5 + 0*u**4 + 0*u**3 - 1\/945*u**z + 0 + 1\/270*u**6. Factor l(a).\nAnswer: -2*a**2*(a - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -354, -336, -292, -210, -78?\n\"Answer: 2*b**3 + b**2 + b - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-268\nAnswer: 80.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -92, -95, -98, -101, -104, -107?\n\"Answer: -3*o - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d. Let f(v) be the second derivative of -v**3\/3 + 41*v - 2. Calculate f(p(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90336, 180697, 271058, 361419, 451780, 542141?\nAnswer: 632502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3258 + 9757. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90aa5 + -620?\nAnswer: -91615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 12 + 6 + (-8 - -9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2406863 millilitres?\nAnswer: 0.0002406863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -70. Suppose -2*f + 3*i - 2*i = -29, 4*i = 20. Suppose 6*v = f + g. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*y + 18 = 0, 5*y - 21 = 2*p - 0. Let k(v) = v**2 - 6*v + 5. Let j be k(6). Put p, j, -1 in ascending order.\nAnswer: p, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.3 + 24. Let b = y + 22.3. Let n = -22 + b. Is 3 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-16) + (-717)\/(-24).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 4*z)*(-7675*z**2 + z + 3835*z**2 + 3822*z**2)*((2 + z - 2)*(1 - 4 + 2) - z - z - z).\nAnswer: 144*z**4 - 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 - 274 + 80)*(-5*g**2 - g**2 + 4*g**2)*(-5 + 5*g + 5) + 0*g**3 + g**3 - 3*g**3 + (0 - 1 + 0)*(-2*g**2 + 2*g**2 - 2*g**3) + g**3 + 3*g**3 - 3*g**3.\nAnswer: 2531*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (0 - -2)) + (-69 - -55)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2\/11, -1\/2, 14, -3, 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/184 and 121\/2254.\nAnswer: 9016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 759 - 730. Suppose -w*s + 4329 + 3327 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 6887154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -4*o - 25, -129*k + 34 = -5*o - 133*k for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d84 + 68?\nAnswer: -2d1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4) - (-1 + (-6)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6)*6 + -212. Let f = l - -374. What is the remainder when f is divided by 50?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/55, 1\/4, 1\/8?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 570207 and 1221.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(14\/(3 - 5)). Which is the closest to 0.2? (a) 0.3 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, -3, 1\/5, -2\/3523 in descending order.\nAnswer: 2, 0.3, 1\/5, -2\/3523, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 4820*r + 52757. Calculate w(-11).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 212, 2, -5, -323 in ascending order.\nAnswer: -323, -5, 2, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14234131 - 4?\nAnswer: 14234122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p + 15. Let g be c(-3). Let f be (-16)\/4*15\/g. What is the biggest value in 4, f, -3\/4, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389265788 to the power of 1\/2, to the nearest integer?\nAnswer: 19730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 - 6 - 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2011101 (base 4) to base 16\nAnswer: -2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32749)\/(-4) - (19 - (-3476)\/(-176)). Suppose 6654 = -2*g - 0*g. Let h = v + g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/15)\/((-2)\/(-642000)). What is r rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 305506573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/108 and 103\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**6\/120 + x**5\/12 - x**4\/8 - x**3 + x**2. Let c be -7 + 13 + -11 + 4. Let u be (c - 0)\/(-6 + 200\/32). Determine m(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 > -337\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3997 + 0.4. What is a rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.18. Let w = q + -0.18. Let k = 57.2 + -57.3. Are k and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = -19. Suppose -25 = 5*z - p*v, -z - 3*v - 30 = -45. Find j such that z*j - 3\/4*j**5 - 3*j**4 + 0 - 15\/4*j**3 - 3\/2*j**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1940)\/(-30) + 2\/(-3). Let r = o - 61. What is the highest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -237095750*l**3 + 238318060*l**2 wrt l?\nAnswer: -1422574500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 = 0, -m - 88 = -7*b + 3*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2319075 seconds to minutes.\nAnswer: 0.003865125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1701.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249 by -2.\nAnswer: 249\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 27*t**3 + 4*t**2 + 11*t**3 + t**2.\nAnswer: -17*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.16 and 111.414.\nAnswer: 111.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/9*-17 + -1. Let r = 569\/36 - o. Find the common denominator of r and ((-245)\/(-165))\/((-3)\/(-9)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -83*n + 13. Let u(r) = 376*r - 53. What is -9*l(q) - 2*u(q)?\nAnswer: -5*q - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 782788 (base 10) to base 6\nAnswer: 24440004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1268 + -1359 - (-1 - 36)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0 = -12, 5*j + 3*p = 18. What are the prime factors of 5\/(-15) - (-164)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + -2. Let x(w) = w + 17. Suppose 4*s - 12 = -4*y + 68, 24 = s - 3*y. What is the remainder when s is divided by x(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d**3 - 144*d**2 + 3213*d wrt d.\nAnswer: 54*d - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:04 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*x - 3540, -4*x = -4*l + 2901 - 93. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252\/53 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356395 is divided by 540?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -1660\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(1700) - (sqrt(1700) - (sqrt(1700) + 0)*-1 - sqrt(1700)) - -3*(sqrt(1700) + 0 + 5))**2.\nAnswer: 1020*sqrt(17) + 15589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69882387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + -186a207?\nAnswer: -186a1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(76)\/(3*sqrt(4)) - (3 + 2 + sqrt(19) - (0 + sqrt(171)))**2).\nAnswer: -102 + 62*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 + 120. Let r(d) = 5*d**2 - 2*d + 2. Let i be r(t). Solve 8*j = i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 199*s + 30. Let v(w) = 39*w + 6. Give 2*u(h) - 11*v(h).\nAnswer: -31*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 813647.37677 - 0.\nAnswer: 813647.37677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(275)*1 - sqrt(11) - (sqrt(11) + (sqrt(1100) + sqrt(1100) + -5 + sqrt(1100))**2)) + -2 + -1 + 3.\nAnswer: -9930 + 303*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:14 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 25 = 5*f - 9*f, 2*f - 5 = t. Let j(g) = g**2 + 6*g - 5. Let x be j(-7). Sort x, -15, 5, t.\nAnswer: -15, x, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502811747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112084 divided by -6?\nAnswer: -352014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 11*h**2 + 12*h - 1. Calculate the remainder when 75 is divided by f(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2. Let b(w) = 1 + 1112*w - 561*w - 528*w. Calculate b(p(a)).\nAnswer: 115*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l - 1. Let h be f(-2). Let w = -22 - h. What is the least common multiple of 2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/(-280))\/((-4)\/42).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*1\/4 - -19. Suppose -25 = -o + i. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*w - 3591 = -140*w + 2241 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 507554501 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 435.2 + -434.9. Which is the closest to -1? (a) 0.4 (b) 2 (c) -0.14 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 947\/8510 - 9\/370. Calculate the common denominator of 10\/253 and d.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 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: Let k be 28442*1\/(-48) - 6\/(-9). Let h = k + 589. Which is smaller: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -519\/4 + 1831\/12. Suppose 8*q - 6756 = 4*q. Find the common denominator of q\/(-396) + 2\/11 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039134 to 6 decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 99372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3748309, -7496585, -11244861, -14993137, -18741413, -22489689?\nAnswer: -26237965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2008069*v**4 - 38*v**2 - 385048300.\nAnswer: -8032276*v**3 - 76*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2 - 4*q - 5. Suppose 21 = -c + 4*f + f, f - 9 = -c. Let u be m(c). Let b = -54 + u. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 419, 664, 909, 1154?\n\"Answer: 245*r + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 11*x - 13. Calculate a(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209\/9 + 23. Which is the second smallest value? (a) h (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54203015 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*b + 25*b + 29*b)*(0 - 2 + 0)*(-3 - 2 + 3)*(5 - 4 - 4)*(1 + 2 + 0) to the form z*b + t and give z.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250072129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27169\/3 + -9056. Which is the third smallest value? (a) -4\/7 (b) -2\/11 (c) -3 (d) -42 (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(-6)\/(-40) + 201\/(-670).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 2*u**2 - 2*u + 2. Let z be y(3). Suppose -z*p + 4 = -6. Suppose p*a + 390 = 3*x, -2*a - 4*x - 269 = 135. Round a to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyelleleyeyyeyflye. What is prob of picking 3 l?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -558.6 + 562. What is the third smallest value in f, 2\/13, -3, -1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s. Let r be 14*276\/34440 - 2\/20. Is r at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1305 divided by 5.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 1. Let z be j(-4). Calculate the lowest common multiple of z\/36 + (-37)\/(-4) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**3 - 5*i + 291. Let c(x) = -2*x**3 - 3*x + 145. Determine -5*c(t) + 3*v(t).\nAnswer: -2*t**3 + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k - 10*k - 378 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 18102*d**2 + 40*d - 65. Is v(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 3005?\nAnswer: 3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 10) to base 4\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = x - 3*j - 28, -2*j = -4*x + 2. Suppose 2*d - 16 = 2*a, 5*d - 4*d + 4*a = x. Calculate the remainder when 19 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) 5 (b) -1\/6 (c) -1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, 2, -12, -2 in descending order.\nAnswer: 17, 2, 0, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 136963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**(-2\/7))\/s*s))**(4\/9)\/(s\/(s\/s**(-2\/3))*s**(-3)*s) assuming s is positive.\nAnswer: s**(160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/50 and 7\/284820.\nAnswer: 1424100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 19*h**2 + 78*h + 11. Give z(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**4 + x**3 - x**2 + x + 1. Let v(y) = -52*y**4 + 311*y**3 - 851*y**2 - 1134*y + 16. Let i(a) = 16*g(a) - v(a). Let i(s) = 0. What is s?\nAnswer: -1, 0, 23\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 9409*m**5\/30 + 3007*m**4\/3 - 512*m**3\/3 + 32*m**2\/3 - 1675*m. Suppose k(i) = 0. What is i?\nAnswer: -2, 4\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 - 944*f**2 + 1 + 1299*f**2 to the form c*f + d + h*f**2 and give h.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*m + 111 - 1707 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 26599875.19.\nAnswer: 26599875.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:45 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -462 (c) -4\/3 (d) -1\/10 (e) 2\/7 (f) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400 + 157 = 1464*l + 93 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 147?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 12201*v + 6014. List the prime factors of r(4).\nAnswer: 2, 27409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 21, 39, 73, 129, 213, 331?\n\"Answer: i**3 - i**2 + 4*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24602 - -442721\/18. What is the common denominator of i and 29\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, g: 4}. What is prob of sequence gfg?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8 - 11 - 3*r**2 + 0*r**3 + 2*r**3. Let w(j) be the first derivative of j**3\/3 + j + 72. What is i(y) + 3*w(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*w - 21, -7*h = -w - 2*h - 21. Let u be (-70)\/(-6) + w\/126*-7. Solve -u*i + 10*i = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:34 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + h + 1. Let w be 7\/3 + 10\/15. Suppose -w*x = 2*x + 15. Let n(y) = 5*y**2 - y - 1. Give x*l(q) - 2*n(q).\nAnswer: 2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**3 + 47406538*c**2 + 1335555419 with respect to c.\nAnswer: -24*c**2 + 94813076*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1565748 and 5856.\nAnswer: 12525984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + t**2 - t. Suppose -2*b = 3 - 25. Let w = b - 10. Let o be k(w). Solve -o*i - 5 = -4*j + i, 0 = -3*j - 5*i + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3784158 + -5\nAnswer: 3784153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 0.10017?\nAnswer: 0.70119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -4. Is 1*(3 + -4) + b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.405 + 242.595. Let i = j + -246. Let t = -15 + 27. What is the closest to i in -0.2, -1\/2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/1)\/(3\/1). Let u(i) = i**3 - i + 2. What is the units digit of u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 60. Let m(d) = 349*d - 61. Is m(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 - 11*n**3)*(-2 + 1 - 2) + (4*n + n - 3*n)*(-2*n**2 + n**2 - n**2).\nAnswer: 29*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -671.8 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -14. Suppose -u*o + 5*o = 142. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 0, 0.5, 3, -7\/95754, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*(-17544)\/(-365500).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let i be (45\/(-9))\/(10\/(-4)). Find the second derivative of -q + 2*v + i + 2*v**4 wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266077732?\nAnswer: 2, 283, 235051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p + 60 - 32 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -28\/39, 2\/47, -2, 0.5, 1, -1.947?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4 - 6*j**2 + 8*j - 73. Factor g(t).\nAnswer: 4*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1811.66525 take away -10?\nAnswer: -1801.66525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*n + 3. Let h = 0.4 + 0. Which is the closest to 0? (a) n (b) -1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*h - 10, 8 = -7*x + 9*x - 4*h. What is the tens digit of ((x - 1) + 45\/(-18))*-178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 7*g + 1051. Suppose -6*u + 54 = -4*u. What is the remainder when u is divided by i(36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.034875mm to micrometers.\nAnswer: 9034.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -55*z - 294 + 6321*z**2 - 3081*z**2 - 3239*z**2. Give r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299)*1 + -5)*-3)**2 + -3.\nAnswer: -990*sqrt(19) + 20913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4411514, -2, 4.\nAnswer: -4411514, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 9*c + 10. Let t be p(7). Calculate the greatest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - 2*sqrt(153)*-5))\/(sqrt(45)\/(2*sqrt(5))).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (210 + -207)\/(6\/68228*(6 + -4)).\nAnswer: 37, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2. Let l = -101 + 80. Let u(t) = -7*t**2. Let w(m) = -72*m**2. Let d(c) = l*u(c) + 2*w(c). Determine o(d(i)).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*p + 16*p + 468*p + 47379 = -697*p for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 189 - -5?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 796\/3 and 265 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*u - 3, -u - 21 = -5*z - 4*u. Let x be 75\/6*z\/(-30). What is the third biggest value in x, 0, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 13.8. Which is the smallest value? (a) 3 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 14*v + 45. What is the hundreds digit of w(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/14)\/(((-32)\/6)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(9\/7)\/((w**(-2)\/w)\/w*w)*w**(-2\/15)*w*w**(-7\/5)*w)**(-39) assuming w is positive.\nAnswer: w**(-6487\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-138)*6\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 - 9*q - 20. Let y be g(6). Let h = 33 - y. List the prime factors of h.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -10*o**3\/3 - 36*o**2 - 62*o - 206. What is b in w(b) = 0?\nAnswer: -31\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-384)\/(-480)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21 - -16) + -23 - -15) + 2 + -4 + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(80\/3)*-20866. Let m = 3142 - v. Calculate the common denominator of m and 517\/22 + 33\/(-12) + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -11. Let q be (1\/15)\/(v\/(-28377)). Let j = q + -209. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9024 and -1.43.\nAnswer: 2.720432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3581, -4659, -5737, -6815, -7893?\nAnswer: -8971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66.51 - -67. Let f = 0.459 - c. Let q = f + 0.04. What is q rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/3 and -37\/18351.\nAnswer: 18351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105*s**2 + 138*s - 48.\nAnswer: 3*(5*s + 8)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11587849.4 rounded to the nearest 100000?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 54 + 236 = 0. Calculate the remainder when q is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 13 + 3. Suppose 3*v = 2*c - 23, v + c = -0*v - o. Let x be 4 + (2 - (1 + 0)). Put v, x, -4 in ascending order.\nAnswer: v, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12905 and 32915?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1131 and 520?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 + 2 - 2*y**2 + y - 5*y**4 + 2*y**4 - 4*y as i + v*y**4 + x*y**3 + w*y + p*y**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -h + 8, -3*g + h - 6 = 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 7:36 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a. Suppose a = -2*n + 2*u + 42, -4*n - 3*u + u = -78. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*h + 1, 0*h - 3*j = -5*h - 13. Does 11 divide -2*(-1)\/h*(-196)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408999.9221 rounded to the nearest one thousand?\nAnswer: 409000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.25 - 16.15. Let s = 0.0093 - 3.0093. Let p be (2\/5)\/(1*-3). What is the nearest to o in s, 17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 0*k - 3*k - 18, 5*m - k = 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10)*2\/(-3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 - -582328.28.\nAnswer: 582309.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8956.38334 to the nearest ten.\nAnswer: -8960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 54 = -4*g, g + 17 = 129*a - 125*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 421271, 843775, 1266279, 1688783?\n\"Answer: 422504*n - 1233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8160 (base 10) in base 13?\nAnswer: 3939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-5 + 4)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 39. Suppose k*t - 2*t + 12 = 0. Let q be (4\/(-12))\/((-1)\/12). Which is the third biggest value? (a) q (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(62 + (-10922)\/172).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**3 + 8*f**2 - f. Let x(p) = -8*p**3 - 23*p**2 + 3*p - 1. Let s(i) = 11*r(i) + 4*x(i). Calculate s(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10*q - 7*q + 1387 = 0, 2*p + 3*q = 2810. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**21\/(w*w*w\/(w*w*w*w**(-29)\/w))*(w*w\/(w\/(w**(3\/10)\/w))*w*w)\/(w*((w\/((w\/w**0)\/w))\/w)\/w) assuming w is positive.\nAnswer: w**(-67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-36)*(93963 - 9).\nAnswer: 7, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.2033 rounded to 1 dp?\nAnswer: -16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -135201205 times -0.1?\nAnswer: 13520120.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 59769*m**3 - m**2 + 60731*m**3 in the form y*m + q*m**3 + g*m**2 + h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*g + 6 + 19*g**3 - 22*g**3 - 21 - 6*g**2 - 57 = 0. What is g?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -80*(18\/15)\/(-3). Suppose 5*t = 2*b + 2*t + 31, 2*b + f = 4*t. Let p be ((-3)\/36)\/(b\/32). Is 0 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3375910.\nAnswer: 2, 5, 439, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 59 and 154.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -79052, -79046, -79040, -79034?\n\"Answer: 6*r - 79058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001512 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 80*g - 914. Let t be f(-65). Sort 0.8, 4, t in descending order.\nAnswer: t, 4, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 23\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*-3*1095\/(-1971).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 4:50 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1*-4*(-3)\/(-6). Solve y - 5 = -w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/60 + p**2. Let b = -3 + 5. Let c(n) = 0*n**2 - 5*n**b + 3*n**2. Give d(c(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 846, 3358, 7540, 13386, 20890, 30046, 40848?\n\"Answer: -l**3 + 841*l**2 - 4*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.46868 rounded to two dps?\nAnswer: -146.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 5. Let w(v) be the first derivative of v**3\/3 - 9*v**2\/2 + 5*v + 1. Let d be w(9). Suppose -2*z = -z + d. Give h(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a - 4 + 12. Suppose b + 1 = 2*w + 2, -2*w = -5*b - 3. Sort a, 3, w in decreasing order.\nAnswer: 3, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7176805*s**5 - s**2 - 5085891 wrt s.\nAnswer: 430608300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/17, 8 in descending order.\nAnswer: 8, 1\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -12*k**2 - 14*k. Let y = -127 + 129. Let u(w) = -w**2 - w. Let t(o) = y*j(o) - 28*u(o). Let m(h) = 9*h**2. Give t(m(i)).\nAnswer: 324*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149633 and 46421.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 74\/4 - (-10)\/20. Suppose -5*c + j = 2*j - 1, 0 = -3*c + 4*j + t. Suppose c = -o - 4*f + 5*f, -5*o - f + 1 = 0. Solve o = -u - 0*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.05 (b) 3 (c) 0.6 (d) -1 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 19, -100, -1, -7, 0 in increasing order.\nAnswer: -100, -7, -1, 0, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 168*r**2 + 5. Let p be d(4). Let x = -1038 + p. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.92 * 52.\nAnswer: 47.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 513568.7 micrometers in nanometers?\nAnswer: 513568700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**3\/3 - 7*u**2\/2 - 3*u + 3. Let d = 602 + -604. Let q be h(d). What is the greatest common factor of q and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.239 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8984, 8977, 8964, 8945, 8920?\n\"Answer: -3*h**2 + 2*h + 8985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -28*k - 7. Let t(l) = 42*l + 10. Let b(w) = 8*a(w) + 5*t(w). Let v be b(-3). Let c = -60 + 150. Calculate the greatest common divisor of v and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8217261?\nAnswer: 3, 13, 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 21*y - 285. What is the third smallest value in y, 1\/5, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, u: 1, c: 5, h: 2, a: 2}. Give prob of picking 1 c and 1 t.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 bigger than 2670.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than -19\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -16. Let r be (-64)\/(-3)*x\/(-14). Let t = -30 + r. Solve m = t*p, -3*m = -7*m - 5*p + 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(144)\/sqrt(4))\/(sqrt(4)\/(sqrt(8)\/sqrt(4))))\/(6*-4*(sqrt(81)*1 + sqrt(81))).\nAnswer: sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 6*a**2 + 9*a + 1. Let r be w(7). Suppose 0 = r*v - 12*v + 3. Is v at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 3*w + 135, -4*w + 100 = 5*d. Let v = -8 + d. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)*z\/z**(-1\/23))\/(z**(-1\/8)\/z*z*z)**(17\/4) assuming z is positive.\nAnswer: z**(-16249\/6624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**0)**28)**(-30))**22)**(34\/7) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + 0 + -5 + (sqrt(567)*-1*-6)**2.\nAnswer: 9*sqrt(7) + 20407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1892 and 76\/129?\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17308683 divided by 21.\nAnswer: -824223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10464623681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 19. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -17. Let i be l\/3 - (-4)\/(-6). Let m be 132\/(-9)*6\/(-4). What is the greatest common divisor of m and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6998\/(-1080) - (-270)\/45. Let x = o - 13\/20. Calculate the common denominator of 91\/24 and x.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvvk when four letters picked without replacement from krvvkvkkkkvvvkkkkkkv?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 + -184. What is the least common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*6)**2 - sqrt(7)) + 4 - (sqrt(56)\/sqrt(32) + -1*sqrt(252)).\nAnswer: 9*sqrt(7)\/2 + 12352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 133 and 14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7385917837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/19))\/j**(-9))\/((j\/j**(-27))\/j**11) assuming j is positive.\nAnswer: j**(-135\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*t - 6, -3 = -3*l - 26*t + 23*t. Solve 4*p + l*h = 10, 0 = -3*p + p - 4*h + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n. Let k(u) be the first derivative of -7*u**3\/3 - 11*u**2\/2 - 45. Give f(k(a)).\nAnswer: -14*a**2 - 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 67833.909 nanoseconds?\nAnswer: 0.0000000188427525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3644705315 to the power of 1\/3, to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9\/10)\/q*q*q*q**(-16)*(q**(-12\/13))**(4\/11))**(5\/19) assuming q is positive.\nAnswer: q**(-23217\/5434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1862859*b**2 + 1486856*b.\nAnswer: -3725718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2318 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 807703 to the power of 1\/2, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -20. Let l = d + 5. Let j = l + 3.8. Are j and 1\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -8*l - 2*l. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(1\/30)*(f**(-3\/2))**(29\/4) assuming f is positive.\nAnswer: f**(-6533\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 567 + n**2 + 2*n - 3284 in the form g*n + t + l*n**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and 10.4.\nAnswer: 353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5910412 to the nearest integer?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:58 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1229102*c**3*l**2*p - 2*c**3*p - 11*c*l**2*p + 7*c*p - 4586*l*p + 35*p wrt l.\nAnswer: -2458204*c**3*p - 22*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 11. Let b be g\/(2 - (-10)\/(-6)). Let m(i) = 2*i**2 + 3*i + 4. Does 19 divide m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/8 + 34067*y**4\/4 + 1160492353*y**3\/8 - 290148639*y**2 + 145078578*y.\nAnswer: y*(y - 1)**2*(y + 34068)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 23 = 5*l + 3, 0 = 4*l - 4*h - 16. Let i(v) = 5*v - 4 - v + v**2 - v**3 + 2*v**2. Give i(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27104137\/5 greater than or equal to -5420827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100000010110000 (base 2) to base 10.\nAnswer: 147632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.399811 * 5\nAnswer: -1.999055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1167\/(-1945)*2\/(-2)*10\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-736)\/391)\/32*2*1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812495 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6654*t**5*u + 410*t**3*u**2 + 3*t**2*u**2 + 14126*t**2 + t*u**2 + 2*t*u - 3*u**2 wrt t?\nAnswer: -399240*t**2*u + 2460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 + -121. Calculate the remainder when 49 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-10))\/6)\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {g: 1, s: 3, r: 1, f: 3, i: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 13) to base 5\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24853\/5 + 4971. Which is the nearest to 35? (a) 3 (b) r (c) 6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8023358 divided by -9.\nAnswer: -8023358\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1500 - -2?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/112574 and 65\/12628?\nAnswer: 9231068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - (-18)\/(-12))*(-88)\/2?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -21. Let m = -249 + 252. Suppose 0 = -m*a - 161 + 209. Calculate the remainder when h is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -t + 2*t - 12, 4*t + 4*l - 28 = 0. Suppose t*j + 12 = -10*j. What is the nearest to -3\/2 in -1\/6, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5247.747 meters?\nAnswer: 5247747000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.13. Let v = 0.93 + m. What is the biggest value in 0, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + 1.4. Let h = -0.3 - 2.7. Which is the closest to -1? (a) h (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 344 + -24010?\nAnswer: -23111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -15699*k**3 - 2*k**2 + 4*k - 3. Let n be a(1). What is n rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1668017.9 + 1667470.92215. Let t = d + 547. What is t rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.5404 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -11. Let t be (-18)\/48*4\/(-9). Sort s, -1\/5, t in descending order.\nAnswer: s, t, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 32042 = -6542. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, -436, -430, -424, -418, -412?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 55 + 30. Suppose 13*f - a*f - 244 = 0. Let y = 27 - f. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/85 - 84\/(-10). Let u be (1 - t)*18\/21. Let n(y) = -y**3 - 7*y**2 - 6*y - 5. Calculate n(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 197*c**2 + 38799*c - 1962. Give g(-197).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 0*w - 4*w)*(16*w - 25*w + 64*w) + (-6*w + 3*w + 2*w)*(-2*w + 4*w - w) to c + k*w + f*w**2 and give f.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -46. Solve 0 = -0*n - 2*n + 2*m, v*n = -5*m + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1167, 2334, 3501, 4668, 5835, 7002?\nAnswer: 8169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-468)*-4*3\/4\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-7 - -3 - -2 - 11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7 - 290*k**3 - 182*k + 0.\nAnswer: -290*k**3 - 182*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -29*q**6\/120 + 5*q**4\/6 + q**2 + 32*q. Let f(p) be the first derivative of m(p). Find the second derivative of f(h) wrt h.\nAnswer: -174*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 392*k**2 + 4 - 1014*k**2 - 6 - 4*k in the form r*k + s*k**2 + i and give s.\nAnswer: -1406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**11\/z)\/z)\/((z**(-5)\/z*z)\/z)*(z**(-1\/4))**(-1\/55) assuming z is positive.\nAnswer: z**(3741\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -7. Let b = -6.6 - h. What is the third smallest value in 1\/4, 1\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 939 divided by 8\nAnswer: 939\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 128629164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/3 + -4)*9\/(-9). Let q(w) = 2*w**3 - 14*w**2 + 11*w - 6. What are the prime factors of q(p)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/11 + (-70)\/(-22) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 + 216. Let w = x - 98. Let n(d) = -d**3 - 2*d**2 - d + 2. Let k be n(-2). Solve -2*i = -k - w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2420\/(-100) - (-51 - (-7076)\/145).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*t + 14. Let g be 42\/t*(555516 - 6). Suppose -g - 4444572 = 4*z. Round z to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66154008 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**4\/8 - 11*o**2. Let f(i) = -4*i**2. Give f(q(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 - 16\/(-42). Suppose -6*d + 351 = 87. Suppose 43*w - 1 = d*w. Which is bigger: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (39\/(-2))\/((-9)\/12). Suppose -3*c + 4*t = -y, 3*c + 14 = 5*c - t. Suppose -3*f = -c*f + 3. Solve -2*m + f = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-8)*(-2)\/20. Let y = -0.41 + 16.41. Let z = -14 + y. What is the third biggest value in z, 0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18130 is divided by 151.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a - 8 = 0. Suppose -a*c + 4 = 0, -3*o + o + 152 = 5*c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*l - 2*n, -68*l - 6*n = -67*l - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1552 (base 13) to base 4.\nAnswer: 300211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 - (320220025\/(-3) - (-20)\/15). Round a to the nearest 1000000.\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5256569 is divided by 1223.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-3) - 4\/(-6). Let t be (3 + -13)*(-1)\/n. Let l = 10 + t. Solve -l*k + 3*d = -0*d - 25, -4*k - 3*d = -20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 5*w**4\/24 - 39*w**2. Let r(b) = -10*b**2. Determine r(s(h)).\nAnswer: -250*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1 + b**3 - 16*b**2 + 7 + b - 16. Does 3 divide z(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 3, v: 1, k: 3, d: 1, i: 5}. What is prob of picking 1 v and 1 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*a + 21 = 0, -38 = -4*q + 2*a - 10. Suppose -4*b = 8, 4573 = q*y - 2*y + b. List the prime factors of y.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 - -1314030?\nAnswer: 1314134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/55 and 83\/429270.\nAnswer: 4721970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86*l**4 - 120794*l**2 + 291829747 wrt l.\nAnswer: -344*l**3 - 241588*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -3 (c) -28523 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by 117.\nAnswer: 22\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:25 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4737418047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 = -3*k, -3*k + 5*k = 2*x + 2. Let g(c) be the second derivative of 18*c - 1\/20*c**5 + k + 1\/4*c**4 + c**2 - 2\/3*c**3. Determine g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9955588 + -5?\nAnswer: 9955583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 50 - (1 - (13 + -1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 16*m - 90. Let n(g) be the third derivative of 1\/12*g**m + 0*g**3 - 6*g**2 - 5\/24*g**4 + 0 + 0*g. What is the second derivative of n(f) wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 435 - 209. Let f = d + -232. Let o = -2 - -3. What is the second biggest value in o, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111114 (base 7) to base 8\nAnswer: -46233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**2\/2 + 9*d + 5. Let i be o(9). Let g(h) = -1 - 11*h**3 + 3*h + 10*h**3 + 3 + i + 3*h**2. Calculate g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 0*p**2 - 12*p**3 - 5*p**2 + 2*p + 14*p**3 - p**4 as d*p**2 + x + h*p**4 + k*p**3 + s*p and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**4 + 2*p**4 - 4*p**4)*(-4*p + p - 2*p) + 0*p**5 + 0*p**5 + p**5.\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10 + (-9)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 144141 - 30417 = 3*b, 5*b = -5*g + 174510. Round g to the nearest one hundred.\nAnswer: 34900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) + 46\/10. Let m(l) = 2*l + 5. Is 5 a factor of m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -100011101?\nAnswer: 100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25929.\nAnswer: 3, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Suppose -4*s + 4 = n*p - 8, 4*s + 2*p - 6 = 0. Suppose d = -s*d - 5*z - 5, 0 = d - 2*z - 2. Solve 9*m = 4*m + 5*k + 5, d = -m + 2*k + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44*((-90)\/(-120))\/(15\/10)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - -1467.\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 4 + a**2 + 10*a**2 + 0 + 5 - 11*a. Let j be p(10). What is the nearest to 1\/2 in 7, j, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7238533, 14477066, 21715599, 28954132, 36192665, 43431198?\nAnswer: 50669731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyywyyyjjjwpd. What is prob of picking 1 y and 1 d?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2070 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 5. Let p be x(4). Let a = p + 11. Let i = a - 8. Solve -9 = -i*h + 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87.26 + -88. What is j rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -7) + -4 + (19 + -27 - 13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**6\/120 + q**5\/10 - q**4\/6 + 2*q**3\/3 - 6*q**2 + 6*q. Give h(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -1, 217, -5, 9 in ascending order.\nAnswer: -5, -1, 9, 27, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -728, -82, 1038, 2668, 4844, 7602?\n\"Answer: 6*v**3 + 201*v**2 + v - 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63817\/219560 - 1\/3992. What is the common denominator of 31\/15 and c?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by -2*(1 + (-798)\/12)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5622432 to the nearest integer?\nAnswer: 2371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(63\/(-28)))\/(5 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/203730924 and -39\/3994724.\nAnswer: 203730924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 5 + 8 + 3 - 1 + (-1 - 3 + 6)*(1 - 1 + 1))*(r - 4*r + 0*r) in the form q*r + i and give q.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -1\/2*w**2 + 2 + 3*w. What is the units digit of r(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 25 - 40 - 14 - 23*q**2 - 17.\nAnswer: -23*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*p - 1674 = -66*p. Let t = 191 + p. Let x(g) = -g**3 + 6*g**2 - 2*g - 4. Determine x(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by 65?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7128 and 1320.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**5 - 1016*c**4\/3 + 340*c**3\/3 = 0.\nAnswer: -85, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 0*b)*(-b**3 - 2*b**3 + 4*b**3 + (-2*b - 2*b + 0*b)*(2306*b**2 - 4760*b**2 + 2358*b**2)).\nAnswer: -385*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7961 + -7956. What is the second smallest value in d, -2.7, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000001234 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**3 + 5*w**2 - w + 5. List the prime factors of s(4).\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -514, -591, -670, -751, -834, -919?\n\"Answer: -f**2 - 74*f - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 30*h**3 + 48*h + 14. Let x(f) = -f**3 - 2. Let i(m) = -4*q(m) - 28*x(m). What is the second derivative of i(p) wrt p?\nAnswer: -552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02679312 rounded to 5 dps?\nAnswer: 0.02679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1121 + -321210?\nAnswer: -322331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(2\/3)\/w)\/(w**3*w))\/(w**(-3)*w*w*w\/(w**(1\/6)\/w)*w))**(-2\/59))**(-9\/4) assuming w is positive.\nAnswer: w**(-111\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1790 is divided by 1750?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 925435 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11985935789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -297690 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/16 + 161670\/15216?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86593, -86589, -86583, -86575, -86565, -86553, -86539?\nAnswer: -86523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 250*v + 246*v = 2, 4*w + 9 = -3*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.3 (b) -6 (c) -0.35 (d) 5 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17580222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*h + 26 - 26)*(2 + h**3 - 2).\nAnswer: 53*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/42 - ((-4508)\/343 + -29).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28702 = -7*r + 40409. What are the prime factors of r?\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4232 (base 5) to base 15\nAnswer: -27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 5*t**2 - 6*t + 5. Let q be a(7). Suppose -b = 5*m + 2*b - q, -5*b + 43 = 3*m. Is 11 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 221 - 19?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13520?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -206766, -1\/3, -1.28?\nAnswer: -206766","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229090 + -229060. Let i be 2\/11 + 93\/33. Solve 2*x - 5*k - s = -3*x, 0 = i*k + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -380 + 429. Calculate the smallest common multiple of 455 and k.\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 62649 = 271865 + 90934. Is h a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 11:41 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 - 1. Let n be l(1). Suppose -8 = 4*z, -5 = n*w + 2*z - 4. Is 2\/87 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6344892, -6344871, -6344814, -6344703, -6344520, -6344247, -6343866?\nAnswer: -6343359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1371115\/4 + -342777. Factor z - 15\/4*h - 1\/4*h**3 + 9\/4*h**2.\nAnswer: -(h - 7)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2110*d**3 - 5*d**2 + 4*d + 3. Let t(j) = j**3 - 14*j**2 - 29*j - 46. Let g be t(16). Is b(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 475 - 1450\/3. Let o = 281\/33 + z. Factor 0 - o*x + 2\/11*x**2.\nAnswer: 2*x*(x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 812, 1, 3.\nAnswer: -1, 1, 3, 812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 2249 = -2207 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*h - 93 = -0*h, -425 = -5*a + 5*h. Suppose a*f - 7388 = 77*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/3))**(-1\/31)*s*s*s\/(s**(-2\/5)*s*s*s)*s*(s**(2\/29)\/s)\/s)**21)**36 assuming s is positive.\nAnswer: s**(-1841112\/4495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29679, 29683, 29689, 29697?\nAnswer: 29707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2))**20)**(2\/43))**39 assuming x is positive.\nAnswer: x**(-3120\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540477 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2\/11, -1\/3, 36\/31, 0.2, -0.856, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 44. Let y be v(18). Let f(c) = c**3 - 9*c**2 + 8*c + 5. Let n be f(y). Let q(k) = -k**3 + 6*k**2 - 6*k + 4. Calculate q(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11298, -11284, -11244, -11166, -11038?\n\"Answer: 2*q**3 + q**2 - 3*q - 11298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g = -13*d - 25*g + 49, 3*d - g - 19 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/4)*d*d)\/(d**(-3)\/d*d)*(d*d**(-1\/4))**(2\/11))\/(d**(-1)\/(d\/(d\/(d**(-2\/11)\/d)*d)))**(-49) assuming d is positive.\nAnswer: d**(2741\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*((sqrt(110) - (sqrt(110) + -1*sqrt(110) - sqrt(110)))\/sqrt(11) - -4*(sqrt(10) + sqrt(160)))\/(sqrt(6)\/sqrt(3)*-3 + 2*sqrt(2)*-3) + -2)**2.\nAnswer: 88*sqrt(5)\/3 + 10409\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -1 (c) -24 (d) 2 (e) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-1)\/6*3). Let i be -15*(-1 - b\/6). Solve -h + i*h + 12 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 11:18 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1321 + -1012010213?\nAnswer: -1012012034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2. Let s(k) be the third derivative of -451*k**5\/60 - 59*k**2 - 1. Let u(r) = -s(r) + 246*v(r). Let p(a) = a - 2*a + 2*a. Calculate u(p(w)).\nAnswer: -41*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446493865.\nAnswer: 5, 17, 89, 59021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v. Let h(s) be the first derivative of 4*s**2 + 1\/2*s**4 - 19 + 0*s + 0*s**3. Let g(j) be the second derivative of h(j). Give -6*g(q) + 34*n(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866999578?\nAnswer: 2, 433499789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25940616 divided by 2726.\nAnswer: -9516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*3 + -6*(sqrt(19) + sqrt(684) + -3))**2*5.\nAnswer: -8640*sqrt(19) + 220500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 598 and 30.709.\nAnswer: 628.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*s = -137 - 44, 0 = 4*a + s - 147. Suppose -75*g = 49*g - 3649 - 19043. What is the remainder when g is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.53 + -2.53. What is the smallest value in i, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y = 2*y. Suppose y = 8*p - 4*p - 88. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 57 = -3*o - 3*m, 0 = 5*o + 2*m - 148. Calculate the remainder when o is divided by 16\/3*6\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 12. Suppose 0*p - 4*u - 26 = 3*p, 5*u - 5 = 0. Does 16 divide k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let m = 432\/31 + -12557\/930. Let d = 9\/10 + m. Put d, -1\/6, r in ascending order.\nAnswer: r, -1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7051627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (101\/2)\/((-3115)\/1780). Which is bigger: -30 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) -112 (b) 2\/5 (c) 950\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2 + 8*o. Let y(k) = -k**2 + k. Suppose 7*c = -2186 + 1099 + 1122. Suppose 2*v + 1 = v. Give c*y(b) + v*w(b).\nAnswer: 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 + 7*j + 19. Let x be k(-6). Let s = x - -27. What is the first derivative of -20 - 22 + 12 - s*i - i wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3726994.3 to the nearest 1000.\nAnswer: -3727000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 22*b + 372. Calculate the remainder when 269 is divided by d(-19).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-12) - (-1050)\/3848. Let v = m + 2\/37. Let y(h) = -h. Let f be y(-1). Which is greater: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -o + 31, 4*o - 127 - 12 = 3*a. What is the remainder when 134 is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (16 - (22 - 8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/3 - 1239322*i**2\/9 + 20243828*i\/9 - 6610240\/9 = 0. What is i?\nAnswer: -206570, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26031544?\nAnswer: 2, 7, 11, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15726, 7, -4, 23, 4 in descending order.\nAnswer: 15726, 23, 7, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8342\/(-645) - 39\/(-3). Let q(b) be the third derivative of 0*b - 1\/120*b**6 + 1\/8*b**4 - g*b**5 + 9*b**2 + 0 + 1\/3*b**3. What is q(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3 + 1. Let u(s) = s + 1. Let g(b) = b - 9. Let o be g(11). Suppose -3*k + 20 = o. Let t(q) = -2*q - 4. Calculate k*u(f) + l*t(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 5*a + 54. Solve -14*f**3 - 10 - 4*f + a*f**2 - 9 + 19 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 201*z + 2206. What is d(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/15)*g\/(g\/g**(-2\/35)*g)*g assuming g is positive.\nAnswer: g**(8\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1491 + 519 + 3263 - 640)*((0 + 0 - 2*b)*(-1 - 4 + 3) - 2 + 2 - 2*b).\nAnswer: 9266*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00461290155 rounded to 6 dps?\nAnswer: -0.004613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10100000010010110010001110?\nAnswer: 10100000010010110010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 5\/1 - -1. Suppose -x + 0*x - 5 = 0, 4*k + 2*x = -38. Let o = r - k. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 16*v**2 - 17*v + 32. Let t be a(15). What is the third derivative of -m**t - 13*m**3 - 22*m**2 + 2*m**2 - 8*m**3 wrt m?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 6*n - n + (-3 + 2 + 3)*(-n + 0*n + 2*n) + 0*n + 0*n + n + (-4*n + 0 + 0)*(8 + 12 + 0)*(2 - 3 - 1).\nAnswer: 168*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202976555 divided by -215.\nAnswer: 944077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68893608 to the nearest integer?\nAnswer: 8300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 17*v + 6*v**2 - 59*v - 7*v**3 + 6*v wrt v?\nAnswer: -42*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 655 (c) -0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/4 - 41*y\/2 = 0. Calculate y.\nAnswer: -82, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*p - 0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43011 - -10030?\nAnswer: -32431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(1830\/4392).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2666*w**2 - 546*w**2 - 3*w + 5*w.\nAnswer: 2120*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-2))\/c)**(-26)\/(c\/(c*c**1*c))**(-31))**20 assuming c is positive.\nAnswer: c**(-2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2. Suppose 17*m = -3*b + 15*m + 1066, 0 = 2*b - 5*m - 679. Let x(r) = 3*r + 0*r - b - 334 + 626. Give s(x(n)).\nAnswer: -18*n**2 + 720*n - 7200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 + 2370*z - 30749. Calculate q(13).\nAnswer: 1075","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 5\/2*d**6 + 0*d**2 + 1\/3*d**3 + 0*d**5 + 0*d - 11 + 0*d**4. Find the third derivative of f(r) wrt r.\nAnswer: 900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2 + a - 1\/2*a**2.\nAnswer: -(a - 3)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - l = -7713, -19*l = -17*l + 4. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25598478 divided by -3711.\nAnswer: 6898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 10*a - 7. Let t(u) = -u + 0*u**3 - 13 + 3*u**3 - 3*u**3 + u**3 + 22*u**2. Let g be t(-22). Is j(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (0 - (-1 - 0)). Suppose 5*o - 14 - b = 0. Suppose -3*q - 30 = -4*t, -t - o*q = 2*t - 33. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l - 6*l + 2 + 5*l)*(-4*l + 7 - 7)*(6*l**3 - 41 + 41).\nAnswer: 264*l**5 - 48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-24)\/21)\/((-440)\/154)*(-5)\/72).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*j = -0*j - 353, -4*y - 2*j + 1452 = 0. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400987.159 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13106.\nAnswer: 2, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62 - 62 - 357*q - 187*q - 125*q + 455*q**2 wrt q?\nAnswer: 910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 - (3 + (-12)\/4). Let m(j) = -j**3 - 6*j**2 + 5*j + 17. Does 21 divide m(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - u - 28. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(729\/99))\/(((-3)\/(-9))\/1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(3600\/1960)*456\/(-133)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-6 - (2 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3344026992.\nAnswer: 2, 3, 69667229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-4 - -18 - (2 + 20) - -48).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 + 274*m + 699. Give j(71).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 182203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 6, h: 1, z: 1}. What is prob of sequence hz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 1:47 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let k be (0 - (-6)\/123)*3\/(-6). Which is greater: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r - 34. Let q be z(8). Let u(c) = 2*c**2 - 4*c - 20. Let v be u(q). Calculate the greatest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53\/15 + -16\/5. Let z be 108\/48*1*-4. Let t = -4 - z. What is the closest to -1\/3 in j, 1\/6, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*j - 15378 = -338*j + 128*j - 123*j for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -3509.\nAnswer: 16\/3509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 12 + 2. Suppose 0 = 25*i - 30*i - 800. Let u be ((-16)\/i)\/(4\/z). What is the second smallest value in -5, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599623317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/((-105)\/15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559976470 divided by 2.\nAnswer: 279988235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17806330 to the power of 1\/2, to the nearest integer?\nAnswer: 4220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 1\/4*z - 1\/2*z**4 - 1\/4*z**5 + 0 + 1\/2*z**2 + 0*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166995162?\nAnswer: 2, 3, 3092503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + (88 + -89)\/(5*(-3)\/117). What is the second biggest value in -3, -41, -1\/7, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j. Let k(g) be the first derivative of 5*g**2 + 73. Calculate n(k(r)).\nAnswer: -60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1\/2, 93, 1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t**2 - 715*t + 700 = 0. Calculate t.\nAnswer: 1, 140\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -8, -18, -26, -32, -36?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (8 - 4) + (0 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:16 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 2. Let s(o) = -o**2 - 9*o + 11. Let a be s(-9). Calculate the smallest common multiple of u(a) and -1 + (0 - -23) + -3.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, t: 4, u: 2, c: 1, g: 11}. Give prob of picking 1 a and 1 c.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 854 - 854 + h - 546*h**2.\nAnswer: -546*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 times 65.1?\nAnswer: 20.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - 18*n - 4. Is s(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 36 = 2*f, -732*f - 1058 + 15 - 71 = -5*o + 1462 - 310 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*u - 156 = b, -u = -3*b + 153. Suppose 2*p - b = 28. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -60, -86, -112, -138, -164?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15139337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3944 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285450 to the power of 1\/2, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -15. Find the second derivative of -h**3 - 5*h - 3*h**g + 3*h**4 + 4*h**3 wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51 and 2.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 11*l**3 - 13*l**3 + 3*l**3 - 4. Let b(n) = -2*n**2. Give b(p(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3529*s**5 - 3346*s**2 wrt s.\nAnswer: 211740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.86 times 3?\nAnswer: -14.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 22 - 2. Let r(o) = o**3 + 4*o**2 + 6. Calculate the remainder when p is divided by r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - d + 0*d)*(-2 + d**2 + 2)*(d + 28 - d + d) as n*d**3 + v*d + p*d**2 + l + k*d**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76.36? (a) -1\/3 (b) 1\/3 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 7 - 5, 4*k - 6 = 2*r. Suppose 2*x + 3*x - 5 = k. What is the greatest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -5\/13, 2\/9, -1.\nAnswer: -1, -5\/13, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52626797?\nAnswer: 43, 1223879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**3 + 26*z**2 - 2*z - 11. Let q be x(5). Solve -12*i + 10*i = -q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -6*b - 7*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13833 and 335385.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31330278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 27*p**2 - 129*p + 10. What is the lowest common multiple of 152 and x(5)?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/((-1380)\/4600)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + k - 2*k = 8, -4*u - 36 = -5*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -635 (base 13) to base 10\nAnswer: -1058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-5 - (-7 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 992*v**3 + 2713*v**2 - 999*v**3 - 2713*v**2.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - 0.07. Let i = 0.1 - h. Let f(v) = -v**2 + 5*v + 1. Let j be f(6). Which is the smallest value? (a) j (b) -1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d - 1 - 134*d**2 - 111*d**2 + 4*d**2 + 76*d**2.\nAnswer: -165*d**2 - 42*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 2*m**2 - 2*m. Let i be y(0). Solve i = 11*z - 16*z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dndtt. What is prob of sequence ddt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*f + 35 = 2*f, 5*f = 2*j - 35. Suppose s = j*s + 12800000. Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2 + 1\/2*n**2 + 1\/4*n**4 - 4\/3*n**3 - 3*n. Let m be 8\/((6 - 4)*1). Determine f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from zkkzzzzkzz?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(10)\/sqrt(5) - (sqrt(2) + sqrt(2)*4)*-2)**2.\nAnswer: 44*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 14*v + 11. Calculate j(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 8:18 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3 + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -805 + 775.88. Let u = m + 19.105. Let o = 10 + u. Round o to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 4\/3 (b) -0.02 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179267 or 179271?\nAnswer: 179271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146075*s**3 - 8*s**2 - 1525*s.\nAnswer: 876450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) + (sqrt(3) + -2 + sqrt(3))*-6)**2.\nAnswer: -264*sqrt(3) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rraaaaa. What is prob of picking 2 a and 2 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 + 79. Let z = 87 + j. Calculate the greatest common factor of 98 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/5 - 12576*h\/5 + 25136\/5.\nAnswer: 4*(h - 3142)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 9 + 7. Let z be (u - -2)*-1*-5. What is the second derivative of 48*q**5 + z*q - 3*q - 52*q**5 wrt q?\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 160225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -7 - (-51 + 46)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98976370 is divided by 7275.\nAnswer: 7270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 - 7 = r, 0 = r + 1. Let k(v) = 14*v - 14. Let h(w) = 16*w - 15. Let u(s) = -6*h(s) + 7*k(s). Let z be u(8). Solve -p*x - x = -z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7146 is divided by 510.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7826*d - 3748662. Determine p(-479).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - -3004?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlz when three letters picked without replacement from llzklzllkklk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/7, 0.5, -4, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*a**3 + 28*a - 54*a + 26*a.\nAnswer: -55*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/101)\/p**(-6\/5) assuming p is positive.\nAnswer: p**(596\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 13*o - 44 = 14*o, 4*c - 2*o = 48. Which is greater: 28\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -655 and 2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 175 - 167.9. Let n = d - -24.9. Let q = n + -31.35. What is q rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282847, 4, 10, 0.\nAnswer: -282847, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 3, 5 in descending order.\nAnswer: 5, 4, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h + 15*h = 0. Solve h = 4*g + y + 12, -4*g - 3*y - 6 = -7*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 2\/7 (c) 0.14 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -640*i + 208. Let l(s) = 49*s - 15. Let y(p) = -3*j(p) - 40*l(p). Let b(k) = -k - 1. Give -48*b(c) + 2*y(c).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85765, -88145, -92109, -97657, -104789, -113505?\nAnswer: -123805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 4. Let v be l(6). Let i be (-14)\/(-5) + v\/(10\/1). Solve 4*h + i = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 49. Suppose -5*q = -20, 4*q = -4*v + p + 10. Calculate the least common multiple of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3.26, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 15*a**2 + 11 + 8*a**2 + 10*a**2 as h*a**2 + w*a + g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*l**4 + 356534*l**3 - 17743774*l**2 wrt l?\nAnswer: -144*l + 2139204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 84, 4, 2 in ascending order.\nAnswer: 2, 4, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2046 and 5379?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i = 84. Let z be (-176)\/110*(-31 - -1)*1. Suppose -z*x + 448 = -40*x. Calculate the greatest common divisor of x and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 298506498*r - 55543678?\nAnswer: 298506498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 339 or 32?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240558*i**4 + 194*i**3 + 115579661*i.\nAnswer: 2886696*i**2 + 1164*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -33 + 1 + -9 - 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 301*b**6\/6 + 78*b**3 + b**2 - b + 1139. Find the second derivative of o(l) wrt l.\nAnswer: 18060*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103550 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 21 = 557*p - 554*p, 25 = -5*p + 5*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.2 - 3.16. Let b = 0.11 - 0.07. Let j = p - b. Which is bigger: j or -0.6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 5:08 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2 - 30384*m - 7167700 = 0.\nAnswer: -229, 7825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 30, 49, 68, 87, 106?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0)\/(7 + -4). Suppose 0 = -2*d - q + 10. Let b = d - -6. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 3*w - 2. Let f be r(4). Suppose -41*c + 884 = -7*c. Suppose 9*b - c = 82. Solve -m + f*a = -a + b, 4*a - 29 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 46*h + 4 + 51*h - 96*h. Let m be z(-2). Suppose -y = 1 - 2, 3*y = m*k - 13. What is the remainder when 37 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 45. Let v be w(-10). Let i = 7 - 6. Let a be -10 + 8 + i*6. Sort a, 3, v in decreasing order.\nAnswer: v, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -1\/6*i**3 - 3\/2*i**2 + 2*i + 0. Calculate a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/2)*l*l**18)**(-1\/29) assuming l is positive.\nAnswer: l**(-35\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*k + 5*k**3 - 70*k + 114.\nAnswer: 5*k**3 + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + b - b)*(1732985 - 820792 - 866292) as w*b + i and give w.\nAnswer: 137703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t + 10. Calculate i(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.036, 1?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 39.2?\nAnswer: -3.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-3))\/(4\/114). Suppose z = -r - m, -2*r + 3*m = -2*m + 169. Round r to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 11:50 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160913728?\nAnswer: 2, 2514277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20075 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 32*o + 891. Suppose 188 = 5*f + 33. Calculate the remainder when y(-25) is divided by f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1104*w. Let k(z) = -2*z. Give k(c(v)).\nAnswer: 2208*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 397*g**2 - 10*g - 5. Is l(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5230.\nAnswer: 2, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12133 - -1011303023?\nAnswer: 1011321222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.76? (a) 10\/19 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202.02 + 33.98. Which is smaller: g or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*q - 30, 4*x - 2*x = -2*q + 4. Let w be (-1 - x)*-1*4. Let k = w - -18. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120 - 2*v**2 - 131 + 2*v**3 + 252 - 28*v**4 to the form h + x*v + s*v**4 + r*v**3 + c*v**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 1. Let b = 20 - 23. Let y(j) = j**2 + 1. Determine b*y(p) + 2*z(p).\nAnswer: -3*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (7 + 5 + -3)*89111. Round i to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**4 - 6*s**4 - 8*s**5 + (3 - 6 + 2 + (-7 + 3 - 6)*(5 - 2 - 1))*(-s**5 - 4*s**5 - s**5).\nAnswer: 118*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*0.322.\nAnswer: 0.00322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + (-36)\/6 + 9. Let v be 7\/((-126)\/220) + d\/54. Sort 5, -1, v in descending order.\nAnswer: 5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3002*r**3 + 12450*r**3 - 3136*r**3 - 3148*r**3 - 3144*r**3.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*x = 2200, 5*o + x = 3*x + 5560. Suppose 9*v - o = -6*v. Calculate the remainder when v is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3925c7 (base 15) to base 11.\nAnswer: -1602a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.242 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksbsskxkeassx. What is prob of picking 2 k?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5541 + 6867 + 1155 = 0. List the prime factors of h.\nAnswer: 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 5*b + 4. Let j be z(-2). Let x = 0.05 + -0.35. What is the second smallest value in j, x, -6\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139 + 133. Let y(b) = -153*b**4 + 97*b + 11. Let t(g) = 77*g**4 - 49*g - 6. Let o(w) = j*y(w) - 11*t(w). Find the second derivative of o(i) wrt i.\nAnswer: 852*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 3*o**2 + 3. Let w(u) = 5*u - 6*u + 4*u - 2*u. Calculate the smallest common multiple of w(7) and r(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -4*x**3\/3 + x**2 - 2. Let s be n(3). Is 106\/10 - 12\/s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -926 + 1100. Suppose 5*g = 4*g - 117. Let o = h + g. Calculate the remainder when o is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -216, 4.\nAnswer: -216, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*n - 4*x - 35, -3*n + 2*x = -55. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-11))\/r*r*r\/(r*r**5) assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 50429.3*1\nAnswer: 50429.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(3\/20)\/t))\/t**(-6\/17)*(t*t*t**(-1\/5))\/t**(-4) assuming t is positive.\nAnswer: t**(2721\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 871104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1110100100?\nAnswer: -1110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + 37. Does 4 divide (-6)\/(-33) + q\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -200?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = w - 42, u - 3*u + 8 = 0. Suppose -w = -2*i - 120. Let q = 96 + i. Calculate the highest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 570 and 344940?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - -9.6. Let m = w - 6. Let x = m + -4. Is -2\/5 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1050.8 - -126\nAnswer: -924.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m - 1. Let t(u) = 2*u**3 - 5*u**2 - 3*u - 6. Let n = -82 + 76. What is n*h(z) + t(z)?\nAnswer: 2*z**3 + z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2606 + 2*h**3 + 2612 - 5218.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4\/7, -0.5, -0.3, 1.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*u = 2330, -2*n + 14*u = 13*u - 944. Let g = n + -123. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.88607mg in micrograms?\nAnswer: 58886.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -7*k + 5*k - 3*s, 0 = k + s + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 1436*u + 46301. Calculate n(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12698 = -4*q - 2*n, -5*q + 4*n = -18736 + 2844. What are the prime factors of q?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awrzawfzrswf. What is prob of sequence arf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**4\/24 - 5*m**3\/3 - m**2. Let r be x(-11). Let h = 1 - r. Solve -t - 3*t + 12 = h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4 - 114*m**3 + 1224*m**2 - 2094*m + 987 = 0. Calculate m.\nAnswer: -47, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 304587*v**2 - 6*v - 5805804.\nAnswer: 609174*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**4 + 1 - 5*b**4 + 126*b**5 - 258*b + 301*b wrt b.\nAnswer: 2520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9827181 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -11000011?\nAnswer: 11000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + g**2 - 2*g**2 + 4*g**2 - 5*g**2 - g**2 + (-1 + 1 + g)*(-g + 4*g - 2*g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - b - 4 = 0, -i + 5*i + 5*b = 16. Suppose -17 = i*u - 37. Solve -q = -0*q + u*r + 6, 3*q - 2*r = 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235586 - 3*r + 1235586.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**3 - 17*r**3 - 112 + 112.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 226 - -8013?\nAnswer: 8239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 428090 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 - 25 = 0. Calculate the remainder when 21 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -255794 + 255799. Let s be -1*2\/(-10)*-2. Let r = -0.7 + 0.4. What is the closest to r in s, -3, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 353 + -34340522?\nAnswer: -34340125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411699849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 - l**5 + 0*l**5 + (-12*l + 125 - 125)*(5 + 1 - 4)*(1 - 1 - 1)*(-l**4 + l**4 - l**4).\nAnswer: -26*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1696 + 1679. What is the second biggest value in -1\/4, m, -0.4, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111201 - 1002?\nAnswer: 110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 + 219*j**3\/2 + 435*j**2 + 434*j.\nAnswer: j*(j + 2)**2*(j + 434)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 36765.36 years?\nAnswer: 441184.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 3, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6530 - 3615 - 11027 - 5053)*(-4*w**4 - 13*w + 13*w) as a + b*w**2 + j*w**4 + v*w**3 + c*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005505 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {h: 1, a: 3, i: 4, u: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -127.8095329 to one decimal place.\nAnswer: -127.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 580 and 98532?\nAnswer: 14287140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.19694 milligrams in grams?\nAnswer: 0.03219694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**5\/60 - h**4\/2 - h**3 + 155*h**2. Let x be 16\/(-2) + 1*-2. List the prime factors of z(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39158600 to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 4. Suppose -8 = -4*c - 3*v, -q*c - 2*v - 6 = -14. Suppose -u - 12 = c*u, -30 = -o + 2*u. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.7808 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*t**4*w - t**3*w**2 - 2*t**2 + 6*t*w**2 - 83 wrt t?\nAnswer: -3288*t*w - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83882530 divided by 2207435.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 77 - 46 + 2944*t.\nAnswer: 2944*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than or equal to -204131.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -333.026 - -9.889?\nAnswer: -323.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/180 - f**5\/40 - f**4\/6 - 6*f. Let a(d) be the third derivative of j(d). Is a(-2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -42. Solve -5*b = y + 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -3*m - 0*m. Suppose 130 = 7*v - m. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 393.8958, -4, -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 - b**2 + 2*b - 2. Let a be x(2). Let c(w) = -2*w**2 + 2 - a. Let s(t) = -2*t. Calculate c(s(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2*r**2 + 88*c**2*r + 123*c**2 - 2*c*r - 121896*r**2 - 2 wrt r?\nAnswer: -8*c**2 - 243792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**6\/24 + 7*o**5\/60 + 34*o**2. Find the third derivative of i(g) wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 24 - 56 = 0. Let q be ((-6)\/m)\/((-36)\/(-30)). Put q, -1, 3 in increasing order.\nAnswer: -1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p + 6. Let h be c(-4). Let d be (h\/24)\/((-1)\/4). Solve 0 = d*a + a - 2*s - 12, a = 2*s - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -35 - 1\/3*x**4 - 8\/9*x**3 + 8\/3*x + 2\/3*x**2. Factor t(m).\nAnswer: -4*(m - 1)*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -9, -14?\n\"Answer: -5*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1876 and 817132.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0537998*455.\nAnswer: 24.478909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 370329635?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5281?\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 3*q + 11 + 2*q + 5*q.\nAnswer: -2*q + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -35. Let l = 0 + z. Let s = 0.674 - 0.074. What is the biggest value in s, -0.2, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 2*o**5\/35 + 11*o**4\/14 - 50*o**3\/21 + 13*o**2\/7 - 145. Solve v(y) = 0 for y.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 6:51 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.0988 - -0.0012. Are l and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**3 + h. Let c be o(1). Suppose 4*l - t - 39 = 0, -4*l + c*l - 5*t - 35 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 3*k - 2. Suppose 5 = -2*q + q. Calculate t(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w + 10*w = -4116. Calculate the lowest common multiple of w and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-16)\/(-32))\/(1\/2) and -3 + (-13)\/((-1)\/1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10975 = 316*x + 840 + 1457 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - x + 14. What is l(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 1, k: 2, i: 4}. What is prob of picking 1 s and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3646, 7265, 10880, 14491, 18098?\n\"Answer: -2*c**2 + 3625*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 7:03 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 - -147.1. Let a = 7 - k. Let p = 1.100064 + a. Round p to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, 32, 238, 640, 1304, 2296?\nAnswer: 3682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416262.\nAnswer: 2, 708131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5*d - 853 = -825, 24 = 3*r - 3*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -5\/7397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -679, -294, 91, 476?\n\"Answer: 385*z - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1063 - 3?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -20*(-20 - 0)\/(-2). Suppose 161*d + 3480 = 3963. Sort d, a, 0, -5.\nAnswer: a, -5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3883, 7755, 11625, 15493, 19359?\nAnswer: 23223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**21\/(a**(-4)\/(a\/(a**(-5\/3)*a*a))) assuming a is positive.\nAnswer: a**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -11553371?\nAnswer: -11553372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 70, 5 in descending order.\nAnswer: 70, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -765008308 - -1.\nAnswer: -765008307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -3*u**5\/20 - u**4\/2 - u**3\/2 - 38*u - 49. Let y(t) be the first derivative of a(t). Solve y(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -16*s + 21054. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 1, f: 1, z: 1, j: 1, e: 2}. What is prob of sequence fee?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = x + 12, 3*x + 5*t = -0*x - 31. Let w be (x + -6)*(-10)\/((-520)\/(-221)). What is the greatest common divisor of 119 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3 - 10) + 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6809, -13607, -20405, -27203?\nAnswer: -34001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*a**5 + 360*a**4 - 15*a**3 - 959*a + 446?\nAnswer: 440*a**3 + 4320*a**2 - 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -104309.\nAnswer: -5\/104309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9*(0 - 74\/60) and (-1932)\/51 - 6\/51?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**5\/60 + k**4\/8 + k**3\/2 + 5*k**2. Let d be w(3). Solve 0 = -8*v + 3*v - 3*f + 20, f = 2*v + d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820427200.\nAnswer: 2, 5, 512767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596598626?\nAnswer: 2, 3, 7, 157, 242129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 + 593*b**2\/3 - 3477*b + 15525.\nAnswer: -(b - 575)*(b - 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -150*c**2. Let i(r) be the second derivative of 0 - 1\/6*r**3 - 131*r + 0*r**2. Determine n(i(b)).\nAnswer: -150*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32078 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - ((15 - -8) + -9) - (1 - 9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50751879 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*a**2 + 149*a**2 - 76*a**2 + 92*a**2.\nAnswer: 210*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 3*x - 12*x + 22 - 42.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**18\/((j\/((j*j**(-5)*j*j)\/j))\/j)*(j\/(j**(-11)\/j))**(-44) assuming j is positive.\nAnswer: j**(-557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -360a6c (base 13) to base 3\nAnswer: -2102101110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-214)\/10 + 14\/35. Let p = -21 - d. Suppose 85 = q - p*q. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 91, 354, 773, 1348, 2079, 2966?\n\"Answer: 78*s**2 + 29*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 5, -0.9, -10, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 112 + 80 + 10*q**2 + 97 - 4*q**2 - 204.\nAnswer: 2*q**2 + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/21))**1 assuming b is positive.\nAnswer: b**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 153, 586, 1311, 2334, 3661, 5298, 7251?\n\"Answer: x**3 + 140*x**2 + 6*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 7 in increasing order.\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7046158491?\nAnswer: 3, 23, 1260719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3898367 rounded to three dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13758440 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*o - 55*o - 84 = 0. Does 35 divide (150\/4)\/(2 - (-53)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -194104 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngsnsck. What is prob of picking 1 n, 1 s, and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-11 + (-1 - -9 - 3))) + 5 + -33?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 518758807 * 5.\nAnswer: 2593794035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 81*w + 164. Let f(q) = -71*q - 168. What is -7*f(d) - 6*n(d)?\nAnswer: 11*d + 192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.118501 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5308 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3769 - -220.3769. What is the closest to l in 1, -4\/7, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1, 4, -202 in ascending order.\nAnswer: -202, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f - 78. Calculate c(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -90363 divided by 13\nAnswer: -6951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 81. Suppose 5*x - 10*g = -15*g - 115, -5*x + 4*g - 133 = 0. Let a be h(x). Solve 0 = 40*l - a*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 times 0.129376?\nAnswer: 17.46576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*w - 539*w + 66*w - 753*w - 167*w in the form g + k*w and give k.\nAnswer: -1189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9118845 by -9118845.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20540 (base 11) to base 3.\nAnswer: -1112001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 175. Let t be r(0). Suppose -d - 3*w - 25 = 16, -4*w + t = -3*d. Calculate the remainder when -1 - (d + 2 + -3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**6)*t\/(t\/t**(-6)*t))**(-8) assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8) + (-10)\/(200\/17)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959965?\nAnswer: 5, 7, 29, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/120 - 7*n**5\/30 + 19*n**4\/12 + 25*n**3\/6 + n**2 - 13. What are the prime factors of u(-19)?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 + 2 = 2*j, 0 = -2*j - 4*y - 4. Let d = 26 - -106. Let k = d - 132. Sort j, 9, -4, k.\nAnswer: -4, k, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 2*c + 1. Let m(z) = 2*z**2 - 6*z - 4. Let h(f) = m(f) - 3*n(f). Let p(i) = -2*i**2 - 14. What is -5*h(k) + 2*p(k)?\nAnswer: k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**9\/12096 - s**8\/3360 + s**6\/720 - s**5\/480 - 2*s**3\/3 - 2*s**2. Let z(j) be the first derivative of l(j). Factor z(i).\nAnswer: i*(i - 1)**3*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 1, b: 6, l: 1, x: 4}. Give prob of sequence xx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 24 - 268 = 0. Suppose -p = a - 3*u, 4*a + 176 + 290 = u. What are the prime factors of 1\/(((-16)\/4)\/a)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 7*l + 9. Let r be x(8). Let f = -4 + r. Factor 17*m**3 + 7\/2*m**5 - 8*m**2 + 1 - 1\/2*m - f*m**4.\nAnswer: (m - 1)**4*(7*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 217 and 649\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 4*n**2 - 7*n + 19. Determine u(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.022 + -1.022. Which is the nearest to 4? (a) w (b) -3.4 (c) -0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 8*h = 4. Factor -2*g + 10*g**2 - 17*g**2 + 6*g**h.\nAnswer: -g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 62 = -9. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45\/2, -30, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 47 + 54 + 23*w**2 - 406*w**2 + 17*w**3.\nAnswer: 17*w**3 - 383*w**2 + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -661 - 389. What are the prime factors of c?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -16 - -4)*3\/24.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from sjhxxsjxjhjx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 19. Let k be v(18). Suppose -8*c = -k + 9. Let g(o) = o + 1. Let u(f) = 5*f + 6. What is c*u(w) + 6*g(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 572?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1134 and 836514.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 946966 (base 13) to base 11\nAnswer: 1a60623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (sqrt(4752)*-1*3)\/(sqrt(9)\/((sqrt(9)*1)\/sqrt(3)))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232 + 247. Calculate the remainder when 614 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.4 - -63.6. Let k = -74.00000097 + i. What is k rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 961*z - 8. Is f(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/((-1020)\/(-855)))\/(((-351)\/72)\/(-13))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 304321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnmo when four letters picked without replacement from ggobbononnmgmbog.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*v - 4, 0*v + v - 14 = 5*o. Let g be (-23)\/(-7) + v\/21. Suppose 0 = -g*q - 5*q. Solve 15 = 5*u - 5*b, q = 5*u + b - 5*b - 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 1165536.4.\nAnswer: 1165539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 26875*g + 107463. Determine i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27086468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (23 - 29)*1\/(-14). Let k = -3 - 0. Which is the nearest to 0? (a) k (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152.49002075 - -152.49. What is d rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 783 and 18618?\nAnswer: 167562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-61)\/(-9) + (-12)\/(-54). Suppose d*f - 1490 = -3*f. What is the remainder when f is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 562 - 562 + 43*b + (-3 - 4 + 5)*(-b + 0 + 0) - 1 - b + 1 + (2*b - 5*b - 8*b)*(-1 + 1 - 3) - 2*b + 3 - 3.\nAnswer: 75*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9997087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 710 - 710 + 1712*q.\nAnswer: 1712*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 45 - 10. Let y = -5 - z. Suppose -4*b = w + 17, 0 = b + 2*b - 4*w + 8. What is the second biggest value in b, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-11)\/r)\/r**(-4\/13))**(-41) assuming r is positive.\nAnswer: r**(5699\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0*v**4 - v**2 + 29\/6*v**3 - 3 + 0*v**5 + 0*v**6 + 17\/70*v**7 + 0*v. Differentiate l(n) wrt n.\nAnswer: 204*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4333101102 + 2?\nAnswer: -4333101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/9*9\/(-6) + 12 + 5054. Calculate the highest common divisor of 312 and h.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**3 + 11*l**2 - l + 3. Let z(w) = -7*w**3 - 10*w**2 + w - 2. Let s(x) = -6*d(x) - 7*z(x). Give s(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*d + 87 + 147 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -51 - 99. Let w = n - 49. Let p = w - -30. What is the smallest common multiple of p and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26616 is divided by 632.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*x**5 + 10*x**5 - 2*x**2 - 3*x**2 wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.34313339 rounded to two decimal places?\nAnswer: -20.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-232))\/((-6)\/(-12))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**3 + 5*a. Let j(i) = 77*i**3 - 56*i. Determine -5*j(m) - 56*y(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 418.31615 days?\nAnswer: 59.75945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/2 - 859351182*z - 123080742334132854.\nAnswer: -3*(z + 286450394)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7526, 24, -12564, -30244, -53022, -80904, -113896, -152004?\nAnswer: -195234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852 is divided by 185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*f**4 - 8*f + 6507?\nAnswer: 92*f**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f4a + 5?\nAnswer: -f45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-180)\/(-27) + 2\/(-3). Solve -q*x + x + 5 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.728 - -34.728. Put -0.4, m, 17, -1 in descending order.\nAnswer: m, 17, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {y: 2, h: 3, c: 1, b: 1, l: 4, o: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/11)*k**(-6))**(1\/8))**(-30) assuming k is positive.\nAnswer: k**(855\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 10 = -28. Suppose 0*f + f - 827 = -5*d, -329 = -u*d - f. What are the prime factors of d?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 5, d: 2}. Give prob of sequence hj.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 2070 = 23*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (-336)\/54 - (-214)\/9. Suppose -p - h = -129. What is the greatest common divisor of 42 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*j + 28 + 27 + 23 - 74.\nAnswer: -277*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5786.547 millilitres in litres?\nAnswer: 5.786547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 1. Let h(l) = 5*l**3 + 30*l + 30. Let f = -23 - -74. Suppose -48*s + 90 = -f*s. Determine s*r(p) - h(p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 0, -0.0741, 138, 2\/15, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8591174 is divided by 8591159?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = b - 2*b + 36, -3*h - 12 = 0. Suppose 89*q - 93*q - 96 = 0. What is the remainder when 93 is divided by 459\/b - (-3)\/q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 143 = 3*d, 5*u - 3*d = 3*u + 73. Let l = 29 - u. Let g(j) = -29*j + 5. Calculate the remainder when g(l) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 18*x**2 + x + 29. Let y(a) = a**2 - 9*a - 18. Let h be y(0). Calculate the remainder when 19 is divided by n(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41030\/44 - (-2)\/(-4). Suppose 3 = -5*w - 17, -w = -4*j + k. What is the least common multiple of j and 22?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 15*u**3 + 9*u**3 - 2*u + 2*u.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**5*q + 1493*n**5 - 13*n**2*q + n**2 + 266*n wrt n?\nAnswer: 180*n**2*q + 89580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11117065 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q**4 - 3*q**3 - 8*q**2 - 12*q + 6. Let g(s) = -6*s**4 - 2*s**3 - 7*s**2 - 10*s + 5. Let r(t) = -5*c(t) + 6*g(t). Factor r(d).\nAnswer: -d**2*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*l = u, -6*u + 7*l = -u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1, 28, 19.5, 0.2?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 3:21 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 19 + 7 = 0. Suppose 0 = 5*z - 4*u, -d*u = -2*z - 5*u. Solve z = v - 6*v - 10, 16 = 3*x - 5*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18888 take away -10200?\nAnswer: -8688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1034 + 1034. Solve 0 = -s*j - j, c - 5*j = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 4 - (-1 - -1). Let t be g\/(((-16)\/(-4))\/(-4)). Let n be t\/34 - (4 - 4). Which is the nearest to n? (a) 1\/3 (b) 2\/13 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2650 + -2660. Let c(q) = 5*q**2 - 13*q - 5. Let l(n) = 1. Let a(d) = c(d) + 6*l(d). Is a(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v + 128. Determine g(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44749.33t in milligrams?\nAnswer: 44749330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 24. Determine n(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*t**3 - t - 173 wrt t.\nAnswer: -99*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 - -4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3185.1 + -3185. What is the biggest value in -3\/2, c, -1\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.0795 grams in kilograms?\nAnswer: 0.0490795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/13 + (-6)\/39. Suppose h = f + 3 - 23. What is the remainder when 39 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icccaic. What is prob of sequence ci?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1. Let i(g) be the first derivative of g**3\/3 + 2*g + 1. Suppose 17*t + 20 = -14. Let f(w) = t*i(w) + 4*d(w). Let m(k) = 3*k**2. Calculate m(f(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119.5 - 192.5. Let x = -153.4671738 + 226.46717318. Let s = x + f. What is s rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*p**4 + 2*p**4 - 111*p**4 + (-2*p**2 - 2*p**3 + 2*p**2)*(0 + p + 0) + 0*p**4 - 4*p**4 + 2*p**4.\nAnswer: -139*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 249, -1.12, -0.3 in increasing order.\nAnswer: -1.12, -0.3, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (49\/2 - 0)*10 and 56.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*u - u + 5 = 0, 3*v + 2*u = 3. Let c be (3360\/(-9))\/(v\/(-750)). What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46164.150839418 - 4429013.570847618. Let d = 4382849 + t. Let f = 0.42 + d. What is f rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62 and -1.60417055941.\nAnswer: 60.39582944059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 351 and 4.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9689*c - 38748. Determine p(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 6 + 8 - 25)*(-16 + 5 - 1)*(6*c - 18*c - 6*c).\nAnswer: -8424*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -636 + 707. Calculate the remainder when f is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(6\/19))\/z*z)**(-20\/7) assuming z is positive.\nAnswer: z**(-500\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -4*g - 55. Let f(r) = 17 + 3*r**2 - r + 26 - g. Suppose 14 = -y + 4*l, y - 2*y - 2*l + 10 = 0. What is f(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8516587?\nAnswer: 163, 52249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a**2 - 2*a**2 - 4*a**2)*(3 - 8 - 1)*(-547*a + 156424 - 156424).\nAnswer: 6564*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 191+611918.46226\nAnswer: 612109.46226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -28 + 1\/2*a**4 + 0*a - 2\/15*a**5 + 0*a**2 + 8\/9*a**3. Find y, given that u(y) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -968\/5 + 6896\/35. Put 2, u, 4 in descending order.\nAnswer: 4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*c = 17, -5*o + 0*c - 15 = 5*c. Let j(h) be the third derivative of -1\/6*h**3 - 2*h**o - 1\/36*h**4 + 0 + 0*h + 1\/180*h**5. Factor j(z).\nAnswer: (z - 3)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 1266*z - 20567. Calculate w(16).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-15)\/(-10))\/(3\/16). What is the tens digit of (511\/14)\/(4\/i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a - 35. Let x(t) = 31*t - 103. Let l(u) = 17*g(u) - 6*x(u). Determine l(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21130987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-3)\/(-18)) - -3. Let g be (p\/51)\/(3\/2). Is g at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*u - 399 + 119, 0 = 5*u + 5*t - 525. Let r = 4 - 13. Let j be u\/126 - (-2)\/r. Is 1 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 (base 7) in base 14?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**5\/20 + 5*d**4\/12 + d**3\/2 - 9*d**2\/2 + 13*d. Factor u(q).\nAnswer: (q - 1)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.8383 nanometers in millimeters?\nAnswer: 0.0000308383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2869, -5752, -8649, -11560, -14485?\n\"Answer: -7*g**2 - 2862*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*h**2 - 6*h - 14*h**2 - 117*h + (-4*h - 2*h + 4*h)*(0 + 0 - 2*h) to the form k*h + p + g*h**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 18*r + 39. Let f be y(11). What is the second biggest value in 1\/5, -0.15, f?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -10131555?\nAnswer: -10131552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-24576)\/1536 + 126\/8)\/((-1)\/48)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*q - 23, 145*d = 142*d + 5*q + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 4881606?\nAnswer: 234317088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 - 4*h**2 + 13*h**5 + 2*h**5 + 0*h**5 - 4*h**5 + (2 - 7 + 0)*(3*h**4 - 3*h**4 - h**5).\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 913491519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u = -80. Suppose 0 = 7*d - 3*d + t + 47, t = 2*d + 25. Let y = d - u. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*h, -3*i + 6 = 2*i + h. Let j(o) = -28*o + 27*o + 5 - 2. Let v be j(i). Solve 4*f - l + 15 = 0, 2*f + 5 = -v*l - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -200 - -195. Let z = -4.97 - 0.03. What is the nearest to k in -1, 1\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 13*s**2 - 22*s + 28. Let j be k(-14). Solve 171*i - 191*i = j for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 - -118. Suppose -l + 4*l = -12, -5*z - 17116 = f*l. Round z to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 66*k + 94. What is the hundreds digit of x(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*q**3 - 761294*q**2 + 84588*q.\nAnswer: 2*q*(q - 42294)*(9*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1062, -1113, -1204, -1341, -1530, -1777, -2088, -2469?\nAnswer: -2926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2 + 11*k + 11. Let u(o) = -1 - 603525*o**2 + 603526*o**2 + 4*o + 5. Let f be 2\/((-4)\/(-22)*-1). Let t(j) = f*u(j) + 4*q(j). Calculate t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**43)\/n))**(-2\/39)\/(n**19*n*n)**(16\/11) assuming n is positive.\nAnswer: n**(-4060\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(21) + 5*sqrt(84) + 1*sqrt(2100))\/(-2*sqrt(21)\/(sqrt(847)*-1 + sqrt(847) - sqrt(7))).\nAnswer: -63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**2\/2 + 12*v - 71. Calculate q(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26988847 is divided by 6138?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 9. Suppose -g*m - m = 228. What is the units digit of -4 - 12\/(-3) - m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -478\/5, 5, -1\/9, 2\/3 in descending order.\nAnswer: 5, 2\/3, -1\/9, -5\/2, -478\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 54 = 2*b. Let c(w) be the third derivative of 0*w**4 + 0*w + 0 - 1\/60*w**5 + 6*w**b - 7\/6*w**3. What is c(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121110210 + 10101000?\nAnswer: 201211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*f - 36, -6*v + 48 = -2*v - 3*f. Calculate the highest common factor of v and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(2\/8). Let w(q) = -q**3 + 5*q**n + q + 1 - 7 + 7*q. Suppose 2*t - 253*i - 3 = -250*i, 2*t - 6 = 2*i. Calculate w(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311946619 to the power of 1\/3, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16172, -64713, -145626, -258911, -404568, -582597?\nAnswer: -792998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 129, 151, 193, 261, 361, 499?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 967.8688 litres in millilitres?\nAnswer: 967868.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17\/7 + -18\/7. Let m = -145\/78 - -22\/13. Which is the second biggest value? (a) m (b) -0.6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 18 = -12*g. Which is the smallest value? (a) g (b) -2\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 1, q: 2, j: 1, h: 1, f: 1}. What is prob of sequence fwx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24609?\nAnswer: 3, 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 125170237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4\/10 + 13*i**3\/10 - 7*i**2\/5 - 2*i\/5 + 4\/5 = 0 for i.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 plus 6166.7?\nAnswer: 5888.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -497*l - 2083 + 7465 - 54585 for l.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -2, 0.5, 11\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (126\/(-10))\/(222\/(-1026380))?\nAnswer: 2, 3, 7, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(13)*1 + sqrt(13))*-2 - (-4 + 4*-2*sqrt(13)))*-6.\nAnswer: -24*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*u + 13. Let n = 14 - u. Let w be 9 + (n - (4 - -2)). Calculate the highest common divisor of w and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.95 + 1. Let x = 77998\/1545 + -26\/309. Let z = x + -50. Is z greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3733 - 3732. Sort -4, o, 1\/3, 0.4 in increasing order.\nAnswer: -4, 1\/3, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/4 + 1411*t**2\/4 - 498435*t\/4 + 497025\/4 = 0. Calculate t.\nAnswer: 1, 705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/12*(-90783)\/38514.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -172. Let n be (6\/(-9))\/(4\/b). Let p = -8 + n. Calculate the remainder when 39 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.23 plus -1?\nAnswer: 164.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b + 1. Let v = -5 + b. Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 9020.\nAnswer: 351780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33770939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0137861129 rounded to six decimal places?\nAnswer: -0.013786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -600116*i**3*l*q**2 - 2*i**2*l*q**2 + 3*i**2*l - i**2*q**2 - 120*i*l*q + 51*i*q**2 - l wrt i?\nAnswer: -3600696*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20239 and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 17 = 3*j, 4*n + 5*j = -41 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*k - 12*k**3 - 19338 + k**2 + 19338 wrt k?\nAnswer: -72*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113564, -227148, -340756, -454394, -568068?\nAnswer: -681784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b - 2*b**2 - 3 + 2 - 2*b + 3*b. Let r(m) = -m**3 + 7*m**2 + 9*m - 5. Let y be r(8). Let x be q(y). Solve 7*o - x*o = -25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -149, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, -76, 0.4, -19\/18 in descending order.\nAnswer: 127, 0.4, -19\/18, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 9 + 1. What is the common denominator of (-47)\/(-6) + -1*1 and (-158)\/(-4) + 0 + x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from lbbh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*x**2 + 10*x + 36*x**2 + 37*x**2 - 103*x**2 + 615 wrt x?\nAnswer: -18*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - (54 + -12) - (592\/54 + 1).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (11 + -1 - (23 - (7 - -17))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 8*u + 8. Suppose -5*z - 3*i + 40 = -z, 0 = 4*z - 5*i - 8. Suppose -3*j = 120 - 159. Calculate the remainder when v(z) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/5320 and 3\/520?\nAnswer: 69160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2664)\/148)\/(3 + (-51)\/15). Solve -f*j = -42*j + 2*d + 8, 0 = -5*d - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**4 + 1992*b**3 - 18102*b**2 + 46392*b - 30285 = 0.\nAnswer: -673, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/988416 and -107\/15432.\nAnswer: 635551488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 7*u - 9600000 = 0. Round u to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -287074 divided by -2989\nAnswer: 287074\/2989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1864376, 3728769, 5593176, 7457603, 9322056, 11186541, 13051064, 14915631?\nAnswer: 16780248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -6037000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -16. Let a be (-204)\/(-272) - 1\/(-2)*u. Put -18, -2\/5, a in ascending order.\nAnswer: -18, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -8 (c) -0.3495 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*g = 1502, -3*s - 3*g + 1504 = -4*g. Suppose -6*x = -8*x + s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20417, -20658, -21055, -21608, -22317, -23182, -24203?\nAnswer: -25380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -861810*r**2 - 1127108*r wrt r?\nAnswer: -1723620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2) - -1)*223. Let p = w + 556\/5. Suppose -2*f - 2*f = 0. Is f at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * -1304\nAnswer: -273.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2081 - -2171. Calculate the highest common factor of 495 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 28. Suppose 25 = 5*k, -2*r = 2*r + 2*k + 2. Let v be q(r). What is the tens digit of ((-1722)\/49)\/((-8)\/v - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-6)*-2 - -152. Suppose -g - 189 = -o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 52, 223, 514, 925, 1456, 2107?\n\"Answer: 60*c**2 - 9*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 4296672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + o - 41 = 0, -4*o - 784 = 5*u - 963 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -6)*4\/(-5). Suppose 24 = 2*o + y*c, 15 = 3*c - 8*c. What are the prime factors of (-60)\/(-9)*o\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61266542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 4:35 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3078 + 5533. Suppose 2*c + 979 = 4*c + 3*x, -5*c + u = 5*x. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 9. Let c be w(10). Let r = c + 27. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(44)\/sqrt(4) + -4 + 2.\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + r**3 - 2*r**3)*(2*r + 3*r - 2*r) + 0*r**4 - 5*r**4 + 4*r**4 - 3*r**4 + r**4 + r**4 + (61*r**3 + 33*r**3 - 42*r**3)*(-2*r + 4*r + r).\nAnswer: 151*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -296 - -173. List the prime factors of (r\/2)\/((-12)\/16).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36446263 (base 7) to base 14.\nAnswer: -60a5da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 25*m**7\/7 - m**6 - 241*m**3\/3 + 274. Find the third derivative of l(g) wrt g.\nAnswer: 3000*g**3 - 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**3\/5 + 4*h**2 + 228*h\/5 + 396\/5 = 0?\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10297 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = w + 4*l, 3*w - 75 = 2*l - 88 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20600, -41202, -61804, -82406, -103008, -123610?\nAnswer: -144212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 19 = -4*a, -4*a - 25 = -9*a. Let y(f) = 7*f + 2. Let n(t) = 50*t + 15. Let m(h) = 4*n(h) - 30*y(h). What are the prime factors of m(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 6*s = -30. Solve 3*c + s = 4*c - 2*w, 28 = 4*c - 5*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/12*(-18)\/21. Solve 3*l + 6*q - q + 16 = 0, -w*l = 3*q + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-405)\/(-75))\/27)\/((-2)\/(-8006)). Which is greater: 800 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjbbgzuggabjazj. What is prob of sequence jg?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-418)\/286*1*13\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnmm when four letters picked without replacement from {m: 9, n: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 + 2*p**2 - p. Let t be x(1). Let s(j) = -j**3 + 6*j**2 - 2*j - 4. Give s(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3\/8 + 4729629*t**2\/8 + 233014188540*t - 233014779744 = 0. What is t?\nAnswer: -788272, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 10*q**2 - 151*q - 99. Let o be m(-139). Round o to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -496 + 892. Suppose -2*n + b = -298. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1886 and 2156582534?\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6706\/10317 - -124\/181. What is the third smallest value in -4\/3, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(54)\/sqrt(9))*-3)\/((sqrt(128) - (sqrt(128) + sqrt(128)*2)) + (sqrt(50)*-6 - sqrt(2))).\nAnswer: 6*sqrt(2)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205 or -170?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21.6376647579 from -1.\nAnswer: -22.6376647579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.7, 0, -6 in increasing order.\nAnswer: -6, -0.7, -0.08, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 4, m: 5}. Give prob of sequence mmm.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/9 + 111272*p**3\/9 - 2*p**2\/9 - 111272*p\/9 = 0. What is p?\nAnswer: -55636, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5355)\/(-27) - 2\/(-3) is divided by 72.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 - -51. Let w = 39.0496 + p. Round w to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10889891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1173749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*421621.\nAnswer: 2108105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-45)*(206350\/(-252))\/(-5). Let f = a - 370\/9. Find the common denominator of f and (-2)\/7 - (-277)\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q + 2*q**2 - 2*q)*(4 - 3 + 3) - 5*q**2 + 3 - 3)*(-6*q**2 + q**2 + 3*q**2) + (-q**2 + 5*q**2 - 3*q**2)*(-2*q**2 + 0*q**2 + 4*q**2).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or 820?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 70*l**2 - 80*l. Let v(w) = 2*w**3 - 139*w**2 - 161*w. Let t(u) = 5*a(u) - 3*v(u). What is the second derivative of t(f) wrt f?\nAnswer: -6*f + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 11*m + 13. Is 13 a factor of l(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 16. Let l = u + -1. What is the nearest to l in -2, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/1 + (-6)\/3. Let c be ((-25)\/(-45))\/(y\/2). Let a = -47\/18 + c. Is -2 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-792)\/(-77))\/(-12))\/3. Let n(j) = -j**2 - j - 1. Let m be n(0). Which is the fourth biggest value? (a) r (b) m (c) -1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 516.27 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) - (306\/(-12) + 10). Put -5, w, -4 in increasing order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.053, 5, 2\/9, -21, 2\/5 in ascending order.\nAnswer: -21, 0.053, 2\/9, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a\/a**(3\/11)))))\/(a*a*a\/(a**0\/a)*a) assuming a is positive.\nAnswer: a**(-52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 63 = -3*m - 116, 3*n + 47 = 5*m for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 0.07, -6, -145?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6144\/3240960)\/(((-11)\/22*2\/1)\/(-5))\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-28) - ((-10)\/4 + 14\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126.6 + -130. Let x = -3.5 - b. Put x, -0.3, -2.3 in increasing order.\nAnswer: -2.3, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -21*d - 4. Calculate q(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2999*p + 1622*p + 1483*p + 1)*(2*p**2 + 0*p + 0*p) as m + j*p**2 + o*p**3 + t*p and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1177 = -195*d + 188. Let m(o) = -3*o**2 - 4*o + 3. Let w(h) = 8*h**2 + 13*h - 9. What is d*m(r) + 2*w(r)?\nAnswer: -5*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p**2 + 3*p - 2. Calculate i(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -6)*12 - 132\/22. Suppose y = 2*q + 24. Let l(f) = f**2 - 4*f - 1. Determine l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*c - 39, -3*s + 6 = 3*c - 9. Let a(h) = h**2 - 9*h. What is a(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-65)*-5 - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -3.1. What is the biggest value in -0.4, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 8. Suppose 0*a - 3*a + 10 = 2*w, 5*a = 5*w. Suppose a*s = -p*s - 5*y + 42, s + 5*y = 18. Calculate the greatest common divisor of s and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1679.134 + 1684. Let v = u - 4.9. Round v to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23520, -23458, -23288, -22956, -22408, -21590?\nAnswer: -20448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 14031*n - 6. Let d(h) = 14*h - 2. Determine 2*d(j) - i(j).\nAnswer: -14003*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5241.638 take away 0.238?\nAnswer: -5241.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 6)*(5*u + 6*u + 12*u) + (-3*u + u + 0*u)*(3 - 4 + 4) - 9 + 9 - 2*u in the form s*u + a and give s.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-90) + 277\/9. What is the greatest common factor of 62 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1042\/573 (c) -2\/3 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1339*n - 531059 + 531057 + 1366*n)*(-4*n**3 + 0*n**3 + 2*n**3).\nAnswer: -5410*n**4 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.029 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8940*q**3 - 3823*q**2?\nAnswer: 53640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**8\/6720 - c**7\/3360 + c**3\/2 - 2*c. Let m(z) be the second derivative of x(z). Suppose m(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4793*k + 47946. What is s(10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -368 or -885?\nAnswer: -885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 5*r**2 - 4*r**2)*(1 + 2 - 2)*(-89 + 89 - 442*r) + (2 - r**2 - 2)*(-15 + 2*r + 12 - 3*r).\nAnswer: -883*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -128. What is the greatest common divisor of u and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1960) - (sqrt(1960)*1 + sqrt(1960)))*-6)\/((sqrt(392) - sqrt(392)*-3)*4 + sqrt(392)) + 4.\nAnswer: 6*sqrt(5)\/17 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/564 (b) 3\/2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 8*u + 102. Give l(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -44?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**8\/6720 + a**5\/120 + a**4\/4 - 4*a. Let i(c) be the third derivative of g(c). What is the first derivative of i(o) wrt o?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 17 = 2*l, 3*n + 0*l = -2*l - 11. Let m(a) = -a**2 - 7*a + 4. Let t be m(n). Suppose t*b = -61018 + 581018. Round b to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 18*s**2 + 24*s + 44. Calculate the remainder when z(19) is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)*g**(12\/11) assuming g is positive.\nAnswer: g**(13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n + 50. Let t be k(-8). Let j(o) = -o - 24. Let f be j(t). Which is greater: -12 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l - 7. Suppose -7 = r - l. What is the common denominator of (-70 + r)\/(1 - 19) and -99\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -0.0135.\nAnswer: 0.2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dld when three letters picked without replacement from mffdmflmmdfmm?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3296 - 19871\/6. Let v be ((-98)\/5)\/(18\/(-36)). Let a = v + -39. What is the common denominator of a and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 15*h - 58. Let b be k(9). Sort 3, 2, b, -6.\nAnswer: -6, b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -365.37 and 0.5.\nAnswer: -182.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -42 (b) 0.04 (c) -2 (d) -2\/5 (e) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q - 39. Let w be d(0). Let a be 3\/36 + (3 - w\/(-12)). Is 2 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 11\/1487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14481 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/9, -13.5, -19?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376, -1255, -2722, -4777, -7420, -10651?\nAnswer: -14470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, d: 1, h: 1, r: 6, x: 4}. Give prob of picking 3 l.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -102*p - 3375. What is the lowest common multiple of j(-46) and 7?\nAnswer: 9219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4324\/(-9))\/(-47))\/(7\/(378\/(-12)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 2*t - 1, -5*t = 5*c - 40. Let r(p) = p**2 - p. Let l be r(-3). Suppose l = c*s - s. Solve s = -n - n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101967148955 + 4380.\nAnswer: 101967153335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2. Suppose 35 = 4*y - 2*i + 7*i, -3*y + 30 = 3*i. Suppose -18*a = -y*a - 6. Let s(w) = -w - 4*w**a + w. Give x(s(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzh when three letters picked without replacement from szkkskkphpmp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -4, -1899 in decreasing order.\nAnswer: 5, -1, -4, -1899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 544*p + 2187. Give v(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (8 - (3 + -5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4966 + 5180. Let j(y) = -3*y**3 - y**2 - y - 1. Let z be j(-1). Suppose 0 = -q - z*w + 4*w + f, 652 = 3*q - 4*w. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -414*y**2 + 55*y + 55. What is g(-1)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i\/((i\/(i**(-13)\/i)*i)\/i))))\/i*i)\/i*i**(-17\/5))\/(i\/(i**(2\/55)\/i)*i\/i**(-14\/5)) assuming i is positive.\nAnswer: i**(-1329\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19102.\nAnswer: 2, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187)*2 + sqrt(187)))*-6 - sqrt(187))\/((sqrt(99) + sqrt(11))*5).\nAnswer: 11*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) 21 (b) 2\/25 (c) 0 (d) -2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b\/(b\/b**(-5)))\/(b**(1\/4)*(b*b\/(b*b*(b\/b**(-2\/7)*b)\/b)*b)\/b))**(2\/45) assuming b is positive.\nAnswer: b**(-11\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37, -47, -57, -67, -77?\n\"Answer: -10*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2601 is divided by 518?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ldlllllllllllll.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-3))\/(-2) + (-31)\/(-93). Let t be 6\/8*(34 + 2). What is the greatest common divisor of r and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*h, 0 = -15534*x + 15529*x - 2*h + 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 244594.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1020*d**2 + 506*d**2 + 507*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14380 - -25666. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -2*o**6 + 194*o**5\/5 - 143*o**4 - 618*o**3 + 162*o**2 - 341. Suppose g(m) = 0. Calculate m.\nAnswer: -2, 0, 1\/6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g - 18*g + 13*g + 3*g + 2 in the form v*g + c and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(2 - (-8)\/(-2))\/(17 + -26)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*a + 8, 4*x - 3*a = -6 + 22. Calculate the smallest common multiple of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128380474 + 3528*s + 128380474 to h + f*s and give f.\nAnswer: 3528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 242924561 to the power of 1\/2, to the nearest integer?\nAnswer: 15586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -5\/2*c**4 - 3*c**5 + 35\/3*c**3 + 12 + 0*c - 5*c**2. Solve m(t) = 0.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*m**3 + 52*m**3 + 52*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 3*g**2 + 5*g + 6. Let m be a(-4). Let s be (m\/4)\/((-2)\/4). Put 0, s, 1 in ascending order.\nAnswer: s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -7, -4, 1 in increasing order.\nAnswer: -7, -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 5 (b) -8 (c) 295 (d) -7\/4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**3 + q**3 - 5*q**3 + (-q**2 + q**2 + 2*q**3)*(1 - 3 + 4) + 0*q**2 + 1102*q**3 - 1013*q**3 - 3*q**2 to g*q**2 + i*q**3 + b + h*q and give i.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -67)*6\/4. Let s be 2\/3 + q\/72. Are 1\/3 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.81 * -2784980.\nAnswer: 2255833.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (20 - 18) - -24?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*i - 1408 = -132*i. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (225\/(-6))\/5*(-42)\/21\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b**2 - 2. Let x be g(1). Suppose x*c + 12 = 22. Let v be 0\/(c*(4 + -3)). Solve 0 = -5*a - o - 6, -5*o - 5 = -v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvmvsmvl. What is prob of sequence lv?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 69. Suppose s = 7*w - 33. Find the first derivative of -14*t**2 + 41*t**2 + w - 18*t**2 wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2058, -13492, -42178, -95994, -182818, -310528, -487002?\nAnswer: -720118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-7880.\nAnswer: -3152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4380880 and 328566?\nAnswer: 13142640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 993 = 2*t, 507 = 4*t + 4*j - 1485. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15279811 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100\/3 - -194\/3. Are k and 32 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4030, -4892, -5752, -6610, -7466?\n\"Answer: t**2 - 865*t - 3166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 36 = -4*v. Suppose -o + 12 = -5*o. Let n = v + o. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 27*x**5\/20 - 15*x**4\/4 + 7*x**3\/2 - 3*x**2\/2 - 24*x. Factor w(y).\nAnswer: 3*(y - 1)*(3*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121186*r + 808338*r + 751584*r.\nAnswer: 1438736*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 130063 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-1))\/(6\/(-3)). Suppose 0 - o = -2*c + 3*l, 12 = 4*c - 4*l. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20526?\nAnswer: 2, 3, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b - 1. Let m be f(-11). Let u = 249\/2 + m. Calculate the common denominator of 17\/16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 135 + 171 = t, 3*t - 38 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.16, 0.6, 5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 325462316 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + -3 - (-1 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)\/(l\/((l\/l**(-8))\/l)))**(-17)\/(l**(-4\/3)\/l**(-4\/7)*l*l*l**(-4)*l**(-2)) assuming l is positive.\nAnswer: l**(814\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 14844859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1468969859 from 10978.\nAnswer: -1468958881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844 is divided by 46 - -170 - 7*(-1)\/(-4)*-4.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -12 (c) 2 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**6\/45 + l**4\/6 + l**3 + 7. Let q(t) be the third derivative of f(t). What is the first derivative of q(k) wrt k?\nAnswer: -16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -806 - 1739*l + 3544 + 4435*l - 1154*l wrt l?\nAnswer: 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 - 5*u**2 + 5*u**2)*(-18 + 350*u + 34 - 16).\nAnswer: -700*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*r - 3*r + 9*r)*(12*r + 19*r - 72*r) in the form k + l*r + j*r**2 and give j.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxpxxxppxxxxpxpxx. What is prob of sequence xxp?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqtqt. Give prob of picking 1 t and 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(9\/(-9))*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*a = 210, -5*o + 2*o = -3*a - 156. What are the prime factors of o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + ((2*(sqrt(700) + -1))**2 - sqrt(700)) + ((-1 + sqrt(700))*-6)**2).\nAnswer: -84123 + 2430*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -933 - -937. Solve r*x = 2*g + 6, -4*g + 14 = -4*x + 9*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4316 divided by -3.\nAnswer: 4316\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 64 = 1. Calculate the remainder when y is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(-7 - (-128)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2763367889+-0.2\nAnswer: 0.0763367889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 4*s - 24, 4*l - 66 = -5*s - 27 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 288*o - 4284.\nAnswer: -4*(o - 51)*(o - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24\/11, -0.3, -2 in ascending order.\nAnswer: -24\/11, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j = 13. Suppose 0 = f - 0*f - 41. Let s = f - -11. Calculate the greatest common divisor of s and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 49*r**2 + 12*r**2 + 21 + 26*r**2 - 25*r - 51*r**2. Is k(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 79*g + g**3 - 217*g + 0*g**2 - 7*g**2 + 73*g + 1 + 70*g. Calculate t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34438, 68896, 103432, 138040, 172714, 207448, 242236?\n\"Answer: -i**3 + 45*i**2 + 34330*i + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.001 and -0.84.\nAnswer: -0.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-3\/7)\/f))\/f**(-15)*(f*f**(-4))**(-2\/45))**(2\/55) assuming f is positive.\nAnswer: f**(3478\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 2*k + 5*k + 6, 3*f - 4*k = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/12 + 49\/21 - -8811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 43.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**2))**34*((w\/(w*((w**(-2)*w)\/w)\/w))\/w)\/((w\/w**(-2))\/w) assuming w is positive.\nAnswer: w**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -576. What are the prime factors of g?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - d - 14. Calculate v(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/17 - 13290*h**3\/17 + 13288*h**2\/17 = 0. Calculate h.\nAnswer: 0, 1, 6644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y*y*y**(-4\/3)))\/y)\/((y*y**(-9))\/y))\/((y\/(y**(-2\/5)*y))\/y**(-2)) assuming y is positive.\nAnswer: y**(104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1463382 and 144.\nAnswer: 11707056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 8 = -2*d. Calculate the remainder when 63 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**2 - 959*o**5 + 687 + 693*o**5 - 703 + 3*o**4 wrt o?\nAnswer: -15960*o**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3679 + -2317769\/630. Let z(d) be the third derivative of 1\/180*d**5 + 0*d + i*d**7 + 0*d**3 + 0*d**4 + 0 - 1\/180*d**6 + 2*d**2. Solve z(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/4196228 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**4\/24 - d**3\/6 + d**2\/2 + 2. Let i(h) be the second derivative of m(h). What is the first derivative of i(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -122*m + 89. Let h(k) = 2*k**2 - 438. Calculate h(u(t)).\nAnswer: 29768*t**2 - 43432*t + 15404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/(-34) + 2\/(-1). Let y = 334.1 + -334. Which is the closest to y? (a) -1 (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -5.37.\nAnswer: 0.4296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*a + 16*a - 10*a + (2*a + 0 + 0)*(-2 + 1 + 0) as g + f*a and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -658862, -1317709, -1976518, -2635271, -3293950, -3952537, -4611014, -5269363?\n\"Answer: 3*y**3 + y**2 - 658871*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/7 in 2, -15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36523943?\nAnswer: 53, 689131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-238))\/(10\/(-7))?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -11*t. Suppose -5*w - 5*l + 2*l = -24, -l + 3 = t. What is y in -3*y + 50 + 12*y + 2*y**w - 18*y**2 + 10*y + 11*y = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*1)\/((-2)\/4). Suppose 4*u = u + q + 4, -5*u = -t*q - 2. Solve 2*n - 2*c - c = 0, u*c = -5*n + 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.119 and -155?\nAnswer: 154.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*l**2 + 0)*(-3*l + 3*l + l + (-14*l + 15*l - 12*l)*(45 - 10 + 16)).\nAnswer: -1120*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2239 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3819 + 3817. Which is the nearest to -26? (a) l (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 7*o**2 + 6*o + 1. Let y be a(6). Let h be (-8504 + y + 3)*-200. Round h to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = -2*a, -4*a - 44*q = -40*q - 24. Sort 52, a, 0, -4 in increasing order.\nAnswer: -4, 0, a, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/213 and 13\/27.\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34 - 23 - 11)*(-563*h + 191 + 1426*h - 192) to f + u*h and give f.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 37. Is w less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(1\/3)*z*z))\/(z**1\/z)*(z*z*z\/((z*z**(1\/6)*z*z)\/z))**(2\/25) assuming z is positive.\nAnswer: z**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*b - 213 = 0, 3*b + 17 = 2*j - 190. Let v = j - 68. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9309455, 9309451, 9309437, 9309407, 9309355, 9309275, 9309161, 9309007?\n\"Answer: -q**3 + q**2 + 9309455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvb when four letters picked without replacement from bvvvvvvbvvvvbbbvvbv.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 8*i**2 - i - 9. Suppose -4*q = h - 19, 26 + 50 = 4*h + q. Suppose 6*t + h = -29. Calculate f(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 979312.5 years?\nAnswer: 97931.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -2\/9, -3, -2.\nAnswer: -34, -3, -2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10523928 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u = 479 - 535. Factor 4\/7 - 2\/7*k**u - 2\/7*k.\nAnswer: -2*(k - 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170262 (base 10) to base 7\nAnswer: 1306251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1371, -3715, -6175, -8751, -11443, -14251?\nAnswer: -17175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, r: 10}. What is prob of sequence brb?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-24))\/((-2)\/12). Suppose 0*u - t*u = 24. Let n be (-3)\/u - 2\/8. Solve -v - 4 = 2*o - n*v, -4*o - 4*v = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 - 0.19. Let y = 32 - 159\/5. What is the nearest to o in 3\/2, y, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14459272 and 81333405.\nAnswer: 650667240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-9)\/3) + 3. Suppose 7*a - t*a + 5*f = -6, a - 3*f = 7. Is -1\/37 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-78)*(-76)\/(-171). Which is the closest to f? (a) -3 (b) -4 (c) 2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 + 7 + (-5)\/(15\/27). Let g(f) = 2*f**2 + 12*f - 7. Determine g(w).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 30. Give t(-19).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a day in minutes?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + 53 + (1 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -256 + 256.383. Let y = b - 0.48. Round y to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:36 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*p - 10\/3*p**3 - 5\/2*p**2 - 5\/6*p**4.\nAnswer: -5*p**2*(p + 1)*(p + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -985ef (base 16) to base 3\nAnswer: -1011201010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 752.9336 decades in months?\nAnswer: 90352.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -0.9. Let i = 2.2 + s. Sort 1, i, 1\/3 in decreasing order.\nAnswer: i, 1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 49*a - 433810 = -140*a. Does 47 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 386112*c**3 - 9*c - 382030*c**3 - 137 + 0*c - c**2 wrt c?\nAnswer: 24492*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 4:05 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 278234379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 9*j - 15. Let y be (4\/5)\/(4\/(-10)). What is the least common multiple of l(11) and (0 + y)\/((-4)\/10)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2234*h**2 - h**3 - 1312 - 2338*h**2 + 4583*h**2)*(-4 + 2 + 0) in the form g + z*h**2 + u*h**3 + r*h and give g.\nAnswer: 2624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 25 - 3 - 1 + 18*l. Let x be f(-18). Let u = x - 8. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 13) in base 5?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 8*c + 8. Determine h(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13705 is divided by 403.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*d - 52, 5*a - 3*d - 64 = -d. Calculate the highest common divisor of a and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*n + 40, -7*l = -4*l - n - 17. Solve -m + l*m = -3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/65)\/((-64)\/160)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 7452.\nAnswer: 74520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1853713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -765, 10247, 33047, 67641, 114035?\n\"Answer: f**3 + 5888*f**2 - 6659*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:03 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/3 - 2*h**3 + 11*h**2\/3 - 2*h.\nAnswer: h*(h - 3)*(h - 2)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 3. Calculate the lowest common multiple of 9 and d(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168813 by -24.\nAnswer: -56271\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.58 times 15?\nAnswer: -263.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, n: 6}. Give prob of picking 2 n.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -875, -4869, -11527, -20843, -32811, -47425, -64679?\n\"Answer: q**3 - 1338*q**2 + 13*q + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346 - -424. Suppose 3*q = -3*c + 48 + 15, 0 = -4*c - q + 69. What is the remainder when g is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 22583611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -bb3386b?\nAnswer: -bb3386b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -9*v - 1427. Let s = v - -280. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t = 21*t + 28. Let 2\/11*v**t + 2\/11 + 4\/11*v = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(175) + 3*sqrt(175))**2 + -4.\nAnswer: -16810 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 345554383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/12*18*6578\/(-2046) - 2\/(-31)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -2\/15 (c) 14 (d) -0.201 (e) -0.05 (f) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88818392 = 4*b - 4*t, 0*t - 3*t + 22204586 = b. Let n = b - 7004595. Round n to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 21, 2\/619, -1\/5, 16, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1271724 + 2771724. Suppose -22*x + 23*x = -u. What is x rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3238.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1445*n = -1442*n - 45. Let j = -24 + n. Which is the closest to 0? (a) j (b) -5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3966966 is divided by 416.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281, 566, 851, 1136?\nAnswer: 1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -7*i + 8*i. Suppose -88 = -3*o + 4*a - i, -2*o + 3*a + 58 = 0. Suppose 5*g - 269 - 111 = 0. What is the remainder when g is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 9594.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308871487?\nAnswer: 7, 11, 19, 127807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*c**2 + 6 + 10 - 17)*(7*c - 12*c - 13*c).\nAnswer: 684*c**3 + 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 134754 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 64. Let q = 20 + s. Let a(j) = 3*j. Give a(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 849*l.\nAnswer: 3*l*(l + 283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 30 = 5*w, 11 = -5*d - w + 34. Suppose -3*y - 7 = -d*f + 49, 0 = -4*y + 4*f - 80. Are -24 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -12, 511 in descending order.\nAnswer: 511, 6, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1400882 and 11186?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a micrometer in nanometers?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1631 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 146*o - 777. Let k be v(78). Which is the third smallest value? (a) 0.4 (b) -268 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -96690, -6 in increasing order.\nAnswer: -96690, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 7*b - 5. Let f be c(-7). Let v = 9 + f. Suppose -o = 3*d - 17, o - 18 = -v*d + 1. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-14)*301\/(-3139)*2\/(-10).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 18. What is the least common multiple of 2 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**5\/6 - 3*f**2\/2 - 9*f. Let p(o) be the first derivative of s(o). Let q(a) = -a. Calculate p(q(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/(-1) + (-210)\/(-98).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - 5*v)*(5*v - 16*v - 4*v + (-4 + 4 - v)*(-2 + 3 + 0) - 2*v + 3*v - 3*v).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 9 - (117 - (-15 - 18)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 9*d - 34. Let j be 49\/(-5) + 4\/(-20). Let z be q(j). What is the common denominator of (-38)\/(-1)*z\/36 and -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -630\/230717?\nAnswer: -630\/230717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + 4*((0 + sqrt(325) + 5)**2 - (-1*(sqrt(13)*-2 + 1))**2) + 4.\nAnswer: 216*sqrt(13) + 1187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 10*q**3 + 3*q**2 + 4*q + 23. Calculate the remainder when z(0) is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 780?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - -227. What are the prime factors of o?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*a + 144*a = -3*x - 19, 6*a = -5*x - 49 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 11:16 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -8978 = -8979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*b**3 + 750*b - 2434*b - 14*b**3 - 35*b**3 - 9*b**3 - 882*b**2 wrt b.\nAnswer: 12*b - 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.465 + -15.365. Which is the third biggest value? (a) -1947 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 9*v = -22. Let o be (-2)\/(-4) + (-11)\/(-2). Solve -2*c - 5*g - o = v*c, -3*g - 9 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43.8441*0.5\nAnswer: -21.92205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48609 + 122609. Suppose -2*p + 4*p = c. What is p rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 58*r**2 - 19*r - 36. Let x be f(-5). Suppose 6*z - x = 375. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 - -127. Is o a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 10 = 3*v, -5*g - 395*v + 397*v + 25 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244378 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.785539 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18842 - -376923\/20. Calculate the common denominator of f and -149\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(54\/(-20))*52326\/(-4845)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37357 + 6350559\/170. What is the common denominator of -53\/3920 and o?\nAnswer: 66640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**3\/6 - o**2\/2 + 18*o. Give j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1187, -2370, -3551, -4730, -5907?\nAnswer: -7082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + -a?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 35 = -s - 4*s, w - 1 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 5*j - 20 = 10*m, -m - 3*j + 8 = 0. Solve -4*h + m*f = -1 - 6, 3*f + 11 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 - 38*z - 541. What is y(-16)?\nAnswer: -957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189\/11 - -934\/55. What is the nearest to 7 in g, 0.2, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288 - 218 + 342)*(2*v + 0 + 0)*(-2*v**4 - 2*v**2 - v**4 - v**4).\nAnswer: -3296*v**5 - 1648*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 92*o. Let v(n) = -13*n. Let d(x) = x**3 + 5*x**2 + 15*x + 7. Let l be d(-3). Calculate l*v(h) - 3*c(h).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Suppose -11*i + 17 = -93. Let t(b) = 16*b**2 + 1044 + i*b**2 - 1044. Determine l(t(j)).\nAnswer: 676*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -290? (a) 13 (b) 0 (c) -2\/3 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 34781*m**2 + 2*m. Let j(p) = 27*p + 1. Give j(n(y)).\nAnswer: 939087*y**2 + 54*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.2 + 32. Is 4 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -241\/4 (c) -2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**3 + 321386*u**2 + 553758 wrt u?\nAnswer: -6*u**2 + 642772*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 9*a - 11*a - 10*a - 2*a**3 + 0*a**3.\nAnswer: -a**3 - 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 13 - 2289*x**2 + 19.\nAnswer: -2289*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-13)\/2 - 1). Suppose -5*p - 11 = v, -2*p - 18 = -3*v - 0*p. Suppose 3*s = -2*o + 8 - v, 3*o + 2*s = 1. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 29602.79mg?\nAnswer: 0.00002960279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 3*q. Suppose -2*d + 4 - 12 = 0. Let h be g(d). Suppose 6*u**3 - 2*u**3 - u**3 - 5*u**3 - h*u**2 + 2*u**4 = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*y + 10, -9*x + 5*x + y + 12 = 0. Suppose -u - 3*h + 52 = 0, x*h - 374 = -4*u - 146. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 4*i**2 + 6*i - 18. Determine l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwaawzwzwazzaawwwaz. What is prob of picking 2 z and 1 a?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.9 + 11. Let o = 1 + -0.5. Which is the nearest to h? (a) -1\/6 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 4*l + 4*l)*(0*l + 2*l - 3*l) + (1 + 0 + 1)*(-353*l**2 + 353*l**2 + 199*l**4).\nAnswer: 400*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:19 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4663 divided by 1?\nAnswer: -4663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 4*z**2 - z - 1. Let a = 811 + -809. Calculate o(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1706 * -836.\nAnswer: -1426216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 17*k**2 + 36*k - 29. What is the thousands digit of h(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -1, 4, 0.1, -2\/355529 in descending order.\nAnswer: 5, 4, 0.5, 0.1, -2\/355529, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**2 - 44683124*d - 89366232 = 0. Calculate d.\nAnswer: -11170779, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 125\/1310153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.582 + -18.382. Which is the closest to -1\/12? (a) -4 (b) -12 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 - 516*f\/11 + 1024\/11.\nAnswer: 2*(f - 256)*(f - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foqffmfdqfdffofdmdq. Give prob of picking 2 d and 1 f.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*z + z - 141658. Is z a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (102 - (-88 + 82)).\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1726485, 1, 16 in increasing order.\nAnswer: 1, 16, 1726485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (16 - (6 - -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17383044989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, -215, 2\/5, 11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 5:16 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 + 553*o\/5 - 9270.\nAnswer: -(o - 450)*(o - 103)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/35 (b) -10\/7 (c) 1625 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -113. Let m = -69 - q. Let s be -3 - (m - 15) - -4. Solve 2*i - 6*i = -p + 16, -5*i = -4*p + s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + k)*(-4*k**4 + k**4 + 5*k**4) + (-2*k + 2*k - 4*k**2)*(44*k**3 + 0*k**3 + 36*k**3).\nAnswer: -318*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*x - 3*r, -r + 3*r = -4. Let u be x\/(-6)*45\/(-12). Suppose -3*j - 130 = -u*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8081688 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -16*x + 18*x. Let u be (-85)\/x*(-160)\/250. Let f = u - -20\/9. Put -4, -5, f in ascending order.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 3*i + 12 = 0. Is (-29022)\/(-30) + i\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(1\/6)*d*d\/(d\/(d*d**(-1\/2)*d*d))*(d\/(d**(-1\/3)*d))**(-12) assuming d is positive.\nAnswer: d**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -15. Suppose -r - 2*u + 20 = -7*u, r - 18 = 3*u. Let j = b - r. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/104, -2291 in decreasing order.\nAnswer: -1\/104, -0.2, -2291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 308487*n - 279. Let z(m) = 616976*m - 558. Let v(g) = -5*r(g) + 2*z(g). Let s be v(13). Round s to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2997 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - u**2 - 17*u - 1. Let c be o(5). Suppose 4*x - c = 4*n - 6*n, 2*x = n - 7. Solve -4*z = -n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 390 - 385. Solve 1 = -3*q + q + 3*b, -q - 20 = z*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 20*v - 1. Let j be t(2). What is the common denominator of -55\/2 and 6\/(-9) - j\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*y = 699. Suppose l = -2*l + y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5508 <= -5508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -237273?\nAnswer: 237276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2516.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1516 - 1516 + 3*l. Let q(x) = 12*x**2 + 16*x. Let s(i) = 4*i**2 + 6*i. Let u(b) = 3*q(b) - 8*s(b). Give u(p(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16159299 and 31161.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87942925?\nAnswer: 5, 7, 19, 26449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127685 is divided by 274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42888681, 42888684, 42888687, 42888690, 42888693, 42888696?\nAnswer: 42888699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 4*q + 5*c, -2*q + 21 + 42 = c. Calculate the greatest common divisor of q and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109d338 (base 14) to base 9\nAnswer: 15787585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 18*h = 264. Let u(r) = -7*r**2 + 6*r - 3. Let o be u(5). Let t = h - o. Calculate the remainder when t is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 8*n**2 - 8*n + 9. Let x be p(7). Suppose -x*o - 1 = -11. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -706, -5962, -20228, -48010, -93814, -162146, -257512, -384418?\nAnswer: -547370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 51*d**2 - 2*d + 5*d - 46*d**2 + 0*d + 2. Let j(r) = -14*r**2 - 8*r - 5. Let f = 4 + 0. Suppose 2*b = -8 + 30. Determine b*w(q) + f*j(q).\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714 = 2*w + 730 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 22*q - 59*q + 22*q + 10815*q**2.\nAnswer: 10815*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 9*u - 6 + 3*u - 2 + 5*u. Suppose w - 3*w = 0. What is y(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -208\/41757 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 15 = -19*l + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/4 and -19895 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1421 (base 13) to base 4\nAnswer: 231110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 2302510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 5*g - 4. Let c be j(3). Let l be c\/7 - 32\/112. Let r(k) = k + l - 1 + k. Give r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -81\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45266351 less than or equal to 45266354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.20556638 to three decimal places.\nAnswer: 1.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w + 2*w)*(-3*w**2 + w**2 + 0*w**2 + (0 + 2*w + 0)*(2*w + 0 + 0)) + (2*w**2 - 3*w**2 - w**2)*(-10*w + 3*w - 12*w).\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l. Let q = 204 - 193. Let d be (q\/7 - 1)\/((-4)\/(-14)). Calculate a(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 23445*v**2 + 17596840*v + 35287500.\nAnswer: 5*(v - 3750)*(v - 941)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263863342 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tju when three letters picked without replacement from {v: 1, w: 8, u: 3, t: 1, j: 1, i: 2}.\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1398 and 4886010.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -189*y**2 + 184771 - 4005 - 309*y + 2119*y - 16961 + 194*y**2.\nAnswer: 5*(y + 181)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -243241 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14168936 divided by -122146\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55832 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1286175536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:41 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*p + 25*p - 1540 = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 22*q + 24. Let c be d(-21). Let g be ((-19)\/c + 1)\/(26\/(-117)). Suppose 29*x - g*x = 295. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:37 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9659779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times -1038?\nAnswer: -145.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 786 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 214200 = -25*z. Round z to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1465, 2896, 4327, 5758, 7189, 8620?\n\"Answer: 1431*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*s**2 + 0*s - 1325*s**2 - 770*s**2 + s + s.\nAnswer: -1985*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1281*v + 1259*v - 100 - 2584*v. Let p be f(-4). What is the greatest common divisor of p and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -62. Suppose 5*y = n*y - 9. Let o be 76 + 1 + 12\/y + 2. Calculate the highest common divisor of 50 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67704654 divided by 22568218\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5884)\/(-168) + -889 + 854\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 5*k - 5*z + 2932, -4*k + 11823 = z. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 12*g + 102 = 0. Sort g, 0, 2 in descending order.\nAnswer: 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*m**2 + 502*c**2 - 251*m**2 - 3*m wrt m.\nAnswer: -2*c**2*m - 502*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 655 + 1645. What is the greatest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134041 divided by -431.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 3) + (-30)\/28. Let j = -9\/28 - i. Which is the second biggest value? (a) j (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 4*n - 17, 13 = -a - 3*a + 5*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((4 - 4)\/2)\/3. Which is smaller: c or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3921 > -3923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 142 = -28 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2527923669 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2790?\nAnswer: 1\/2790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 8*n + 16*n - 56 - 12*n. Give h(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 235\/4. Let d = -3.4 - -3. Which is the nearest to 2\/9? (a) d (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0, 8, 4, -182, 10 in descending order.\nAnswer: 10, 8, 4, 3, 0, -1, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + t)*(-17 - 45 + 6 + 1 - 1 - 2 + 1 + 1 - 1 - 3 + 0 + 2 + (-1 - 2 + 2)*(2 - 1 + 1) - 2 - 1 + 2 - 4 - 2 + 4) + (-2*t + 2*t + 2*t)*(-2 + 1 + 0).\nAnswer: -65*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1544*x**5\/3 - 2054*x**4 - 4688*x**3\/3 + 21574*x**2\/3 - 4052*x - 112\/3 = 0 for x.\nAnswer: -2, -7\/772, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxdddxxxxdxxd. What is prob of picking 1 d and 2 x?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2, -1, 2, -40636 in descending order.\nAnswer: 2, -1, -2, -24, -40636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*w + 4*k, -w - k + 0*k = 3. Let y(c) = 5*c + 5*c - w + 0. Is y(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -18*b + 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**5 - 4*t**3 + 4*t**2 - 3*t. Let p(s) = s**5 + 7*s**3 - 7*s**2 + 5*s. Let x(m) = -7*b(m) - 4*p(m). Find the second derivative of x(y) wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10063, -39303, -87757, -155431, -242331, -348463?\nAnswer: -473833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011 less than 0.21?\nAnswer: 0.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(5 + sqrt(243)\/(sqrt(9) - (-5*sqrt(9)*2 + sqrt(9)))))**2.\nAnswer: 150*sqrt(3) + 2527\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.08 (b) -5 (c) -0.3 (d) 5 (e) -1\/3 (f) -2719\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 5*t - 1. Let k(d) = -10*d**2 + 11*d + 2. Let u(b) = 4*k(b) + 9*r(b). What is u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + f - 246. Let l = -407 - -237. Let w = f - l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 402 + 1011\/5*h + 3\/5*h**2 = 0.\nAnswer: -335, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 u when three letters picked without replacement from {w: 1, s: 2, n: 2, c: 3, u: 3, v: 4}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3839*i + 3844*i = -4*j - 103, j = -5*i - 97 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 15*j**2 - 3*j - 50. What is the units digit of r(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -2)\/(2\/2). Let f(a) = 10*a**2 - 4*a - 3. Let g be f(h). Suppose -5*o + 3*v + g = 0, -v - 19 = -3*o + o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004504139 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -471 + 472. Sort -5, 3, -3, d in decreasing order.\nAnswer: 3, d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2852 is divided by 259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1397)\/2)\/(2\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than -232\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11680645909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/7 + 10*n**3 + 624*n**2\/7 + 424*n\/7 - 160 = 0.\nAnswer: -20, -14, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6865)\/7434 + (-227)\/(-1589) - 12\/(-27) and (258\/(-8))\/(12\/(-4)).\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-148)\/1258 - (-174)\/34. Is 2 + (s + 133 - -2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(66)\/sqrt(24)) + (sqrt(176) + 0 - sqrt(11)).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 - 23*q + 12. Let o be l(-5). Let c(n) = 2*n - n**3 + 0*n**o - 6311 + 6308 + n**2. Give c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-406)\/27666*-53*146\/(-14)*-1*9?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174 - -475. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14)\/(h*h\/h**(-11\/5)))**(4\/21) assuming h is positive.\nAnswer: h**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -338394016 smaller than -338394016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -54. Suppose k + 12 = -r - 2*k, -m = 4*k. Suppose 0 = 2*j + r*j + 20. Put j, 4, -3 in descending order.\nAnswer: 4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 40. Let f be (((0 - 0) + 0)\/(-1))\/o. Let n(q) = 0*q + f*q + q - 2*q. Let j(v) = -4*v**2 + 12*v. What is -j(t) - 12*n(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507828.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*r*z + 2*c**2 - 19*c*r**2*z + 5*c*z wrt r.\nAnswer: c**2*z - 38*c*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - ((-122)\/(-8) - 2) and 4\/14*((-68705)\/(-60))\/13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4246707589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*m - 224*m - 312 = 216*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26721 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 0.04659.\nAnswer: 1.04659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 23004, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**9)\/(m*m*m\/(m\/m**(-5\/2)*m)))**(1\/21) assuming m is positive.\nAnswer: m**(23\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 - 7*o + 32. Let y be x(6). Let z = -116 - y. Solve -10 = -4*n - 5*q + 1, -z*n + 3*q + 11 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -14*p**2 + 4*p - 14. Let y be a(6). Let m = 484\/3 + y. Do -3 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-12))\/1)\/(1841\/(-176736)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-3)\/(-3) - -12. Suppose h - 1 = 4*s. Suppose -s*n = n - 28. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 2. Let i be v(-2). Let n = 8 + i. Suppose 15 - 200 = -37*h. Solve -h*r = -n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 2. Let k be b(18). Calculate the highest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2635 - -2480. Which is the fourth biggest value? (a) 1 (b) j (c) 1\/8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979822.\nAnswer: 2, 489911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 24*y + 288. Let w be t(-12). Suppose w = b - 4*l - 508, -5*b + 4*l + 2502 = 3*l. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1134842 + 14745761\/13. Let h = z - -553. Let 0 + 0*x**4 + h*x**3 - 2\/13*x**5 - 2\/13*x + 0*x**2 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 113 - 6*j - 113. Let t(h) = -h**2 - 3. Let i(w) = w**2 + 1. Let v(x) = 3*i(x) + t(x). What is v(q(z))?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4101 is divided by 441?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 a factor of 1742147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 2626?\nAnswer: -2624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2311 + -1?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivii when four letters picked without replacement from {i: 3, x: 2, v: 7}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Let l be (0 + -1)\/((-2)\/14). Suppose -3*c + l = -17. Solve c = a*d + d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911019 is divided by 303384.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b + 5. Let n(c) = -14*c + 14. Let g(o) = 6*n(o) - 17*r(o). Let m be g(-5). Let z = m - -9. Calculate the remainder when 3 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/54)\/((-295)\/(-100) - 3). Let g be (-898)\/630 - (-4)\/(-10). Let d = q + g. What is the common denominator of d and 29\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -95707, 4 in increasing order.\nAnswer: -95707, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 3, v: 5, g: 1, m: 1, d: 1}. Give prob of sequence lt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 3*v - v + 0*v + 4*v - 2*v + 0*v + v - 5*v - 2*v + 7*v - 3*v - v + 4 - 4 + (2 - 6 + 2)*(2*v - 2*v + 2*v) to the form t + o*v and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10905938 and 13841.\nAnswer: -10892097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29d (base 14) in base 12?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -781274*i**2. Let f(r) = 372*r**2. What is f(w(j))?\nAnswer: 227064731464272*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 21 = -11. Is (25\/(-4))\/(4\/w) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 18*h**2 - 76*h - 48. What is j(21)?\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6335847382.\nAnswer: 2, 3167923691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35580464 or -35580465?\nAnswer: -35580464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162728.82 months to millennia.\nAnswer: 13.560735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 12) to base 15\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15*z**2 - 2. Let h(j) = 70*j. What is f(h(n))?\nAnswer: -73500*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 17*u + 77, -25*c + 39*c + 3*u + 94 + 44 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/17999224 or -1?\nAnswer: 17\/17999224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a**5 + a**4 + 3*a**2. Let q(i) = i**5 - i**4 + i**2. Let o(l) = -6*q(l) + 2*w(l). Factor o(j).\nAnswer: -4*j**4*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 12. Let h be (2 + 23)*c\/20. Suppose -v + 824 = 4*j - h*v, -5*j + 1050 = -v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 329 - 464. Let t = i - -258. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*a = -25, 2*c + 0*c = 4*a - 2. Suppose -c*y + 2*i + 345 = i, 0 = -4*i. What is the remainder when y is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2312, -2090, -1868, -1646, -1424, -1202?\n\"Answer: 222*t - 2534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/36 - (6 + (-40775)\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 24. Let f = t + 17. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/34)\/(((-1620)\/(-432))\/((30\/5)\/(-24)))?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2 - 9*f**2 + 272 + 275 - 157 + 14*f + 263 with respect to f.\nAnswer: -16*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22 - 17 - (4 + -1). Suppose -3*l - 1\/2*l**x - 9\/2 = 0. What is l?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 21 = -2*f, -5*b - 212*f + 207*f + 35 = 0. Solve -b*y - 5*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 25*p**4\/12 - p**3\/3 + 57*p**2\/2 - 211. Let b(c) be the second derivative of s(c). Let n(h) = 2*h. Determine b(n(l)).\nAnswer: 100*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 7:43 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -559 - 5?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-2 + -3 + -4*2*sqrt(288) + 2 - (-5 + sqrt(32) + 0 + sqrt(98) - ((sqrt(288) - (-1*-2*sqrt(288))**2) + sqrt(288))).\nAnswer: -1148 - 107*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -37*l + 1040. What is the remainder when h(-2) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 12*q**2 - 9*q + 1. Suppose i + 0*a - 4*a - 6 = 0, 3*a + 1 = -i. Let l be i + 20\/(-11) - 1376\/(-176). What is the tens digit of s(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1900) + (sqrt(1900) - sqrt(1900)*2) - sqrt(1900))**2.\nAnswer: 3800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 12*x - 5*x + 96.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 60 = 54. Let k be z - (-3 - (0 + -2 + 1)). Determine d, given that -1\/4*d**5 + 0 + 0*d**2 + 0*d**k - d + 5\/4*d**3 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -14*q + 286. Let y be (-9 + (-12)\/(-4))*-1. Let x = 149 - y. What is the greatest common factor of q and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 20 = 4*q. Find the common denominator of -10 - (3872\/(-64) - 56\/(-4)) and (51\/(-7))\/(q - -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(3 - 10\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276307768 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/(-6)*198\/(42\/(-7))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by 100.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 615337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*y + 8. Suppose 5*x - y*x - 66 = 0. Suppose -3*b = -b - x. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -675657, -1351326, -2026995, -2702664, -3378333, -4054002?\nAnswer: -4729671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 3*s**2 + 4*s. Let k be q(-4). Suppose -2 + k = -i. Solve 4\/7*x + 2\/7 - 4\/7*x**3 + 0*x**i - 2\/7*x**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(sqrt(2448)*3 + 1) + 1)**2.\nAnswer: 43200*sqrt(17) + 12691057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*1*-6)\/sqrt(10))\/(sqrt(54) + sqrt(54) + (sqrt(54) - (1*sqrt(594) + sqrt(594))\/sqrt(11))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165459 is divided by 82606.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Let x(v) = -2*v**2 + 5*v**2 - 2*v**2 - v - v. Let z(p) = -22*p. Let c(k) = -66*x(k) + 6*z(k). Calculate b(c(f)).\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1437020 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.86 - 5.86. Which is the nearest to -0.1? (a) -0.103 (b) 2\/7 (c) o (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -25*f + 27 - 39 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -2b3ab94?\nAnswer: -2b3ab8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.226591366 and -35613.\nAnswer: -35613.226591366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3612211482 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 3. Let i be s(-5). Let t be (-294)\/(-10) - i\/(-5). Let k = -15 + t. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 1. Let g(q) = -q - 1. Let r be g(0). Let m(j) = j**3 + 7*j**2 + 5*j - 1. Let o(v) = r*m(v) - n(v). What are the prime factors of o(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/116 - -2 - (-1 + 7119\/203).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5373419?\nAnswer: 41, 131059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Let m(f) = -f**2 - 4*f + a*f. Let l(c) be the third derivative of c**5\/30 - 48*c**2. Give m(l(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (8 - -2) - 4)\/((-6)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 2. Let k = 14404 - 43616\/3. Let b = k + 135. Put b, 0.3, t in descending order.\nAnswer: t, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - ((2 - 0) + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) + (-6)\/(-15). Suppose 4 = -a - b. Let f = a - -4. Solve f = 2*s - 3 - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1052 + -800. Suppose -5*c - 3*n + d = -7*n, 5*c + n - 237 = 0. What is the greatest common factor of 204 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4)*2 - 2. Suppose c - 6 = -s. Solve -2 = 5*v - c*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - u**2 - u + 6. Determine c(-3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3656897, 3656899, 3656903, 3656909?\nAnswer: 3656917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**(-3\/5)\/j)\/j*j\/(j\/((j**(-2\/5)\/j)\/j)) assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 + -8 - (1 - 5) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-10))\/(6\/(-60)). Let t be (-68)\/i - (-1)\/(-4). Suppose t*f - 6 = 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: In base 16, what is 4b4e + -3648?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-392)\/(-2) - (8 - 12). Suppose 7*a + f = 17*a. Suppose -d = -a - 5. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 1. Let h be 2\/12 - (-85)\/30. Suppose h*s = 13*s. What is the third biggest value in s, q, 13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102 + 97 - (0 + 94\/(-18))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9522824 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.196\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 61.\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122221 + -20111221222?\nAnswer: -20112121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1350 - 678 - 672 + 22*w. Let b(m) = 4*m. Determine a(b(p)).\nAnswer: 88*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f + 2*f - 61 - 5*f - 3*f - f to the form a*f + d and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27400180*w**3 + 33680485*w.\nAnswer: -164401080*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29689)\/825 + 36)\/(1\/(-6))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/2)*n\/(n*(n*n\/(n\/(n*n*n**(-4\/5))*n)*n*n)\/n)*n\/((n*n\/(n**(-3\/8)*n)*n*n)\/n)*((((n\/(n\/n**(-8)))\/n)\/n)\/n)\/n assuming n is positive.\nAnswer: n**(-523\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22344.2 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 0.4 (c) -3 (d) 2 (e) -320\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460490 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18561 + -7308. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168 - 168 - 74*w)*(2 - 2 - 3)*(0 - 6 - 1).\nAnswer: -1554*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:34 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 7ba1?\nAnswer: -7ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 70. Which is the third biggest value? (a) -4 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 - p**2 + 11*p + 6. Let b(m) = 4*m**3 - 4*m**2 + 13*m + 7. Let c(y) = 2*b(y) - 3*n(y). Suppose -4*v = -0*v + 16. What is c(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*o - 12, 4*r + 13 = o - 13. Let p(y) = -5*y - 6*y**3 + 2*y**3 - y. Let t(i) = -3*i**3 - 5*i. What is r*t(d) + 5*p(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.99999822 + -43. What is u rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 130480 = -8*t - 44425. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.6, 8, 13?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2 (b) 0.5 (c) 0.4 (d) 74 (e) -0.2 (f) 0 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110010101110 (base 2) to base 5.\nAnswer: 1112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 239. Suppose -u = -6*w + 135. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 4:01 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1265\/13 or -440?\nAnswer: 1265\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*z + 96*z = -2410. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*r - 1 = -41, 11 = -k - 4*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l - 249 = -501 - 507 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 16*c - 2210. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -15*j + 3453. Let g(x) = -34*x + 6901. Calculate 9*a(w) - 4*g(w).\nAnswer: w + 3473","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 37 - 19 + 0*c**2 + 188 to p*c + r + u*c**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104227 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 837678 - 0.757216\nAnswer: 837677.242784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d**(1\/7)\/d)*d)\/d)**(-11)\/(((d*d**(-1\/5)*d)\/d)\/(d\/(d*(d**(-1\/13)*d*d*d)\/d*d*d))))**23 assuming d is positive.\nAnswer: d**(-378327\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 2\/21*j**3 + 6*j + 1\/42*j**4 + 0*j**2 + 0. What is v in d(v) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22886*t**4 + 316*t**2 + 668502*t?\nAnswer: 274632*t**2 + 632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**5\/6 + 91549*s**4\/3 + 3662323*s**3\/6 + 3387674*s**2\/3 + 549354*s = 0?\nAnswer: -18, -1, 0, 183118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = h - 7, 9 = h - 5*w + 30 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2652139*g**2*l**2 + 33*g**2*l - 65367*g**2 wrt l.\nAnswer: -5304278*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17136 - -17106. Suppose -2*k = -3*t + 53, -3*k + 4*t - 84 = t. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulrr when four letters picked without replacement from {r: 5, x: 1, l: 6, u: 2, b: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -43.661.\nAnswer: 130.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozzoozkokz. What is prob of sequence zkk?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -5, 11, -4, -2, -196?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9494 + 531599\/56. Find the common denominator of w and 113\/280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(175) + -1 - sqrt(175))**2 - -2*(sqrt(175) - (sqrt(175) + sqrt(175)*1))) + 4 + -1)*2 + 3.\nAnswer: -20*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2360\/(-15) - -4)*120000. What is q rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110220 + -12?\nAnswer: -12111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3216 - -0.975.\nAnswer: 1.2966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 5*l**2 + 6*l + 1. Let q be k(6). Let t = -2 + q. What are the prime factors of (12\/(-3))\/(t\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*h - 34800 = -445*h. Is h a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*j - 56, 5*j - q = 3*j + 29. Suppose 0 = 2*a + 4*u + 4, -4*a - 2*u = -5 - j. Let r = -6 + a. Solve 0 = -o - r*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (9 - 15) + 36 + (0 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -8) + (1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14020.09 years?\nAnswer: 140.2009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 4:00 PM?\nAnswer: 206","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 4)*(-5 - 2 - 12)*(-5*j**3 + 2*j**3 + 5*j**3).\nAnswer: -76*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -457037 rounded to the nearest 1000?\nAnswer: -457000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82050?\nAnswer: 2, 3, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + 1.4. Let w = -1.43 + 1.83. Do f and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1223, 1431, 1661, 1925, 2235, 2603?\nAnswer: 3041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*i**2*o**4 - 14*i**2*o**3 + 39*i**2 + i wrt o.\nAnswer: -24*i**2*o**3 - 42*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, -0.55, -0.5, -348\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026 take away 313268?\nAnswer: -313268.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433179967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15609706 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17927 or -19096?\nAnswer: -17927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4836 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - b - 46 = 0, 3*z - 6*b + 3*b - 18 = 0. Suppose -11*h + z*h = 20. Let v = h + 22. What is the least common multiple of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -22*m**2 - 39*m. Let d(l) = -4*l**2 - 30. What is y(d(k))?\nAnswer: -352*k**4 - 5124*k**2 - 18630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 - -1))*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j - 1. Let s be f(-1). Let i be -3*(s\/9 + 0). Let m be i + 11 - (1 - 1). Solve u + l = 0, 0*u = 5*u - 4*l + m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 15. Let m(a) = 5*a - 4*a - a**2 + i*a + 2. What is the least common multiple of 11 and m(4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-33))\/((-16639)\/(-7131))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 8. Let x(r) = -17*r + 70. Let s(q) = q - 14. Let d(z) = 5*s(z) + x(z). Give d(m(b)).\nAnswer: 24*b + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1747\/5 - 349. Let k = 0.5 + -0.6. Which is the nearest to -0.1? (a) z (b) k (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 396*a - 399*a + 1509. Suppose -a - 289 = -4*n + 4*s, 0 = -n - 4*s + 178. Is 194 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2)*u)\/u)**(-7\/3)\/(u\/(u*u**39)*u**(2\/37)))**18 assuming u is positive.\nAnswer: u**(29046\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.05424 - 19.05209. Let n = 14 + l. Round n to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*t**3 + 2 - 3714*t + 367231*t**2 + 4*t**4 - 367229*t**2 - 7*t**3 - 41*t**3 wrt t?\nAnswer: 48*t**2 - 594*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -635 - -661. Solve -20 = 2*b - 5*o, 2*b + 3*o - m = 6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -10*q - 3*b + 266, -5*b + 119 = q. Let s = q + -133. What is the greatest common divisor of s and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 74*i - 7282. Let j be r(130). Which is smaller: j or -57\/58?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -16. Suppose 0 = -p + 1 + y. Calculate the least common multiple of 16 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -796 - -790. What is the tens digit of (87\/h)\/(-8 + 95\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in 3, 10.3, 169?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/43 (b) -0.12 (c) 1\/5 (d) -3023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-5.1.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**6\/200 + 2199*t**5\/50 + 1611867*t**4\/10 + 1575331348*t**3\/5 - 1871*t**2. Factor k(f).\nAnswer: 3*(f + 1466)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - 7. Let k = 9 + z. Sort k, -0.3, 4 in increasing order.\nAnswer: k, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in -20.3, -4, 1\/8, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15294233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21226.13 days in microseconds?\nAnswer: 1833937632000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*d + 178. Suppose d = -j + p + p, 3*p - 248 = 4*j. Let q = -42 - j. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3869401773?\nAnswer: 3, 17, 41, 1850503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 197 + 79)*(-a**2 + 3*a**2 + 0*a**2) + 2*a**2 - 2*a**2 + 2*a**2 + 3*a**2 + 3*a**2 - 4*a**2.\nAnswer: 544*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -724 - -730. Suppose r - u = -w, -5*r + 1 = -5*w - 9. What is the lowest common multiple of r and 134?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685230 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 - 3 = -2*l, 0 = -5*l - 2*y + 6. Suppose 4*f + f - 285 = l. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:31 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3752 + -1?\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 36*k**2. Let z(q) = 27*q. Give z(l(o)).\nAnswer: 972*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 28, 11, 2, 43, -4, 1 in increasing order.\nAnswer: -4, -1, 1, 2, 11, 28, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.79 * -398\nAnswer: -1110.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 6*u - 4*u + 9 = 2*o, 3*o + 71 = 5*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.95764 milligrams to grams.\nAnswer: 0.04595764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32332 + 112220 = 3804*c for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 930384 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -344, -697, -1052, -1409, -1768?\n\"Answer: -k**2 - 350*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*n - 19, -y + 4*y - 13 = -n. Let x be -3*n\/3*-5. Solve 9 = -5*o - k, -x*k = 4*o - 0*k + 24 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/12*(9 + -3). Solve b*l - 10 = -0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34464 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0158641, 23, -0.4 in ascending order.\nAnswer: -0.4, -0.0158641, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/13 (b) -11 (c) -2 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1 + 11*p**3 - p - p**3 + 0*p**2 + p**2. Suppose -1 = 4*c - 5. What is the least common multiple of n(1) and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(0*h - 3*h + 5*h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhslhllssslhhcshsl. What is prob of sequence lch?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-9 + 1)) + -4. Solve -7*s + 3*s + c*w = 12, 0 = 2*s - 5*w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 9)*(-h**2 - 1 + 1) + 1163*h**2 - 576*h**2 - 1255*h**2 as q*h**2 + g + v*h and give q.\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m - m**4 - 4*m + m**3 - 26*m**4 + (-m - 3 + 3)*(-3*m - 2*m**3 + 3*m) + 3*m**4 - 3*m**4 + m**4 - 2*m**4 - 3*m**2 + 3*m**2.\nAnswer: -26*m**4 + m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(((g\/(((g\/g**(-3))\/g)\/g)*g)\/g)\/g)\/g)\/g**(-1\/4))\/(g*g*g**(-5)*g**(-1\/4))*(g**(-1\/11)\/g**(2\/7))\/(g**(1\/4)\/g)**44 assuming g is positive.\nAnswer: g**(5255\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1733, -1736, -1741, -1748, -1757, -1768?\nAnswer: -1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18688 - 18358. What is the greatest common factor of x and 1617?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -183, -377, -647, -993, -1415, -1913?\nAnswer: -2487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -777035*c**5 + 43090800*c**4 - 101837915*c**3 + 38010210*c**2 - 965780*c + 6360 = 0?\nAnswer: 2\/149, 3\/7, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 2\/(2 + -4). Let t(g) = 4*g - 3. Let z be t(u). What are the prime factors of (0 + z)\/((-24)\/(-3672))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**3*b*b**(-2\/29))\/((b\/(b**(-10)\/b))\/b*b*b**(-4\/9)) assuming b is positive.\nAnswer: b**(-1729\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-247*z**3 - 562 + 562)*(4*z + 2 - 3*z - 3).\nAnswer: -247*z**4 + 247*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 1, o: 7, j: 1, t: 4, m: 2}. What is prob of sequence mo?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 522665*43\nAnswer: 22474595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 1158. Let s = -1113.9201 + w. Round s to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4505 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/380 and -25\/8.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (102\/(-15))\/(-20 + 3774\/185).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Let a be f + -2 - (-4 + -2). Suppose -v = -4*p + 15, -p + a*v = 2*p + 10. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.2 (b) 14463 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6)*q**(1\/2)\/q)**(-13)\/(q*q**(-2)*q**(-2\/11))**(-17) assuming q is positive.\nAnswer: q**(-520\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 205360 (base 9) in base 2?\nAnswer: 11101110010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7685685 and 57915.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 e when three letters picked without replacement from reyuye.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 229537 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -101 + 107 + 5 + 0 + -1 + -53.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*n - 0*x + 60, -x - 3 = 0. Let w = 13 + n. What is the closest to w in 2\/11, 4, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212322 (base 4) in base 5?\nAnswer: 202321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 2*s - 33. Give a(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 81858004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*v - 4471 - 3424 = 4719 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.360229 nanograms?\nAnswer: 0.000004360229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.24 (b) 0.11 (c) 1\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + -56. Suppose -3*b = -2*x + 20, -u*x + 4*b = -0*b - 32. Determine v, given that 69 + 0*v**2 - 45 + x*v**2 + 28*v = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -668.6 - -668.599997163. Round d to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*f + 15152 = 0, -80*v + 81*v - 3791 = -2*f. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**3 + t**2 - 5*t + 5. Give v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -5484226.\nAnswer: -5484221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 13*o + 15. Suppose 0 = -2*n - 3*n + 75. Suppose -i - 2*i = -n. Solve -o*r = i - 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54213 - -1225?\nAnswer: -52544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 22. What is u(-13)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489429?\nAnswer: 19, 277, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*d**4 - 263*d**4 + 122*d**4 + 28*d**4 + 803*d + 2*d**2 wrt d.\nAnswer: -3048*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130677 - 130732 = -2*s + 5*i, 0 = 32*s - i - 485 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(28) - sqrt(28) - sqrt(28))**2 + sqrt(14)\/sqrt(2)*-1.\nAnswer: 3*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 14*w**2 + 35*w + 86. Let b be z(9). What is the third smallest value in -0.4, 7, -3, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1674, 3298, 4922, 6546?\nAnswer: 8170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 7, 28, 79, 172, 319?\n\"Answer: 2*k**3 - 3*k**2 - 2*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 16*a**2. Suppose 7*p - 277 = -263. Let g(s) = 144*s**2 + 134*s**p + 143*s**2 - 414*s**2. Calculate v(g(k)).\nAnswer: 784*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 60 + (-22 + 34 - 47)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2320432010 - -1?\nAnswer: -2320432004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 1216?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 30*b + 6. Let w be k(-15). Let n be w\/(-4) - 6\/12. What is the closest to -2 in n, -0.3, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + 1 + sqrt(1216) + -3 + sqrt(76) + 1 + -5 + 4.\nAnswer: -2 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7454952*u**4 + 413346*u**2 + 11*u wrt u?\nAnswer: 178918848*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1693*z + 1. Let o(f) = 7*f**2 + 70*f. Give s(o(t)).\nAnswer: 11851*t**2 + 118510*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:22 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 173.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256\/(-12)*(-78)\/(-12)*-213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 1. Let j(l) = 8*l**2 - 3*l + 3. Let k(u) = -3*b(u) + j(u). Let v(y) = 3437*y + 3 - 2 - 3439*y - 1. What is k(v(x))?\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + k - 1997, -5*f - 261*k + 263*k - 1989 = 0. Is -5 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -956*f**4 + 2076*f**4 + 4305*f + 34*f - 24*f**2 - 1075*f**4 wrt f.\nAnswer: 540*f**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2083*u = 1793*u + 17249 + 6292 - 4401 for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Let f(o) = -o**2 + 5*o + 4. Let x be f(4). Let p = x - z. What is the highest common factor of 15 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 409 - 407. Let -29*p**3 + 1608289 + 139*p**3 - 14143*p**x + 70*p**3 + 364500*p - p**4 + 1993*p**2 - 5708914 = 0. Calculate p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 12 - 3. Suppose -3*y + p = -4, q*y - 10 = 2*p - 4. Suppose -4*i + 514 = -y*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 298 - 295. Let i be (-3 - -1) + -3 + 297. Suppose 3*x + 261 = 4*d, r*d - 5*x + 88 - i = 0. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 38*t**3 + 3*t**2 + 9*t + 4. Let u be s(-4). Let x = -1198 - u. Suppose -g = -7*g + x. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-305757)\/(-117) - -9) + 44\/(-143). What is the highest common factor of l and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571, 1029, 1487, 1945, 2403, 2861?\nAnswer: 3319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 14) in base 6?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 1, h: 1}. Give prob of sequence khn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13213717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 84711*l**3 - 318849?\nAnswer: 254133*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/12 - w**3\/6 - w**2\/2 - 30*w + 1. Let z be 3 - (6 + (-6)\/3). Let o(k) = -k**2 + k + 2. Determine z*o(b) - 2*m(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -76268546 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3033 + 8797. Does 44 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4. Suppose 18 = 5*q - 2*q. Let r be ((-4)\/(-6))\/(s\/q). Let a(p) = -p + 2. What is a(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 8, x: 3, k: 2}. What is prob of sequence dddd?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127630*o**3 + o**2 + 40881*o + 5.\nAnswer: -765780*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163376 is divided by 54427.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 19 = 2*k. Let v(i) = -4*i**3 + 17*i - 3*i**3 - i**3 + 15*i**2 + 9*i**3 - 2. Let n be v(k). Is n > -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0 = 94 + 2. Solve -p*b + 29*b = -2*m - 11, -4*m = -2*b + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Let p(k) = -142*k + 1057. Let u(w) = -47*w + 351. Let m(s) = 4*p(s) - 11*u(s). Calculate the least common multiple of m(7) and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51732314*b**4 - 3*b**2 - 1040*b - 278?\nAnswer: -1241575536*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 38*t + 1. List the prime factors of r(1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)*n\/n**(-3))\/((n**(-1\/13)\/n)\/(n\/(n\/n**(-2\/9)))) assuming n is positive.\nAnswer: n**(2389\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -57376 - 126227. Find the common denominator of o\/(-1960) + 2 - 8\/(-10) and -1\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19693385, 19693375, 19693363, 19693349?\n\"Answer: -m**2 - 7*m + 19693393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -17611 and -17589 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:35 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3635*n**4 - 2*n**3 + 61*n + 302943 wrt n.\nAnswer: -14540*n**3 - 6*n**2 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**4 - 4272*b**3 - 1546173*b**2 - 17990292*b - 16448388 = 0.\nAnswer: -706, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 + 3*k - 2. Give s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/120 - r**4\/16 - 65*r**3\/6 - 2890*r**2. Determine z so that l(z) = 0.\nAnswer: -10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z**(-1\/3))\/(z*z*((z*z*z**2*z*z)\/z)\/z*z*(z*z\/z**(-7))\/z) assuming z is positive.\nAnswer: z**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4164331086 - -4.\nAnswer: 4164331090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87684 by -4.\nAnswer: 21921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6070836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136\/3 + -1157\/24. Calculate the common denominator of ((-39)\/(-6))\/(6\/(-20)) and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -197501*f - 597647?\nAnswer: -197501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {f: 5, h: 2, p: 5, a: 1, u: 2, q: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 26*z + r = 0, 5*r + 25 = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0 - 9*f - 21\/2*f**2 - 5\/6*f**3. What is the tens digit of d(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -3*l + 6, 0 = -4*c - l - 41 + 58 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:36 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 986, 1982, 2978, 3974, 4970?\nAnswer: 5966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kok when three letters picked without replacement from kmkkkembkekmoxookbe.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134.6 + -130. Let x = 4.6071 - c. What is x rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.4 + 15. Let j = -7.92 - 0.08. Let c = -13 - j. What is the nearest to -0.1 in -1\/4, n, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7728 and 1104.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(83*m**2 - 129*m**2 - 1 - 1).\nAnswer: -46*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) -10 (c) 2 (d) -3\/16 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -254 + -11110?\nAnswer: -11404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -310*u**3 + 2*u**2 + 5*u + 2. What is the units digit of w(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30267108363 plus -6.84?\nAnswer: 30267108356.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-4 - -8) + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-464) + ((-16578)\/145 - 174\/(-435)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1432*(3 - (-5 + 4 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10144*y - 4209. Let z be u(-9). Round z to the nearest one hundred.\nAnswer: 87100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-2 - -7) + -2. Suppose -2*b + 6*b + 349 = 5*v, -5*v - b + 344 = 0. Let g = v + -60. Solve r + g = u*w - 6, -3*w + 15 = -2*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4545536 and 497168?\nAnswer: 31818752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*f - 0*f - 33, 2*y = f - 5. Suppose 3 - 6 = x. Let g = 1 - x. Calculate the remainder when f is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 14 = -k, -k + 23 = 2*o - 9. Let f = o - 18. Put f, -3, 2 in increasing order.\nAnswer: -3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8921148.\nAnswer: 2, 3, 23, 32323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1080\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - m - 7)*(-m + 0*m - m)*(5 - 1 - 3)*(-1 + 3 + 0).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -19, -20, -23, -28?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkcwrrk. Give prob of sequence kw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*n + 20, 3*n + 3 = -5*z - 22. Let m be ((n - 1) + -3)*-1. Let v = -22386 + 22386. Solve -4*y - r - m = v, -5*y = -2*r + 3*r + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2148 * -10\nAnswer: -21480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176921 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1330220030?\nAnswer: -1330220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccrrncrjcrrjrrrr. Give prob of sequence rnjr.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 898 - 12567\/14. Which is the second biggest value? (a) n (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 116 - 167 + 97 + 106 + 27.\nAnswer: 8*y + 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 10:52 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20710\/60707 or -1?\nAnswer: -20710\/60707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -1670, -3746, -6650, -10382, -14942?\nAnswer: -20330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -119\nAnswer: -5\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -24621552, 0.2, -5, 0.1, 3, 2 in decreasing order.\nAnswer: 3, 2, 0.2, 0.1, -5, -24621552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -5, -2, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*x = 5*i - 740, 2*x = -4. Let y(o) = 82*o + 11. Let m be y(3). Let j = i - m. What are the prime factors of j?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7053 - -10188. Let o = -2086 + p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14 + 2*x - 2 + 2 + 18. Determine o(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, n: 3, i: 5}. Give prob of sequence ny.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3) + 4 + 3 + 2))**2 - (1*sqrt(36)\/sqrt(3))\/(sqrt(4) - sqrt(100)*2).\nAnswer: 2593*sqrt(3)\/9 + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/18*2\/(-4)*-2 - (-418481)\/(-19719).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1893, 2518, 3547, 4986, 6841?\n\"Answer: h**3 + 196*h**2 + 30*h + 1666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2424516?\nAnswer: 2, 3, 29, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 31. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/3300*11*20\/(-22)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**2. Let u(y) = 8*y + 82. Let b be u(-10). Let t(z) = 5*z**2 - 9*z**b + 21*z**2 + 6*z**2. What is i(t(g))?\nAnswer: -2645*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -17809 >= -17030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) + 5*(sqrt(360) + sqrt(360)*1) + sqrt(360) + sqrt(360))\/((sqrt(96)\/sqrt(3) - sqrt(2))*-1).\nAnswer: -26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - (0 + -6) - 9) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/892170 and -41\/9635436.\nAnswer: 48177180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s = 63*s + 13. Let h(r) = -r - 3. Let q(f) = -1. Let b(p) = 1. Let n(i) = -4*b(i) - 5*q(i). Give s*h(g) - n(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Let i = r + -5. Let w be i + 6 + (-10)\/3. What is the second biggest value in 2\/9, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 840*u + 11324. Calculate d(-14).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5 = -5*z, -5*r + 0*z = -3*z - 10. Let h = 4 - r. Suppose 3*w - 5*f = -20, -4*w + 1 = -5*f + 21. Sort -2, h, w in descending order.\nAnswer: w, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 9*n - 3. What is r(5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -201061103 or -201061104?\nAnswer: -201061104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*c - 59, 0 = -a - 3*a + 2*c + 88. Let w be (2\/4)\/(5\/(-30)). Let s = a + w. Solve -3*r - s = -8*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -14 + 74*j - 4*j - 68*j + 0*j. Give l(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93202*x + x**2 - 50412*x + 143614*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 2, 277, 5, 43.\nAnswer: 2, 3, 4, 5, 43, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from sijsohiijjj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:29 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 38513 (base 9) to base 10\nAnswer: 25932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3*l - 9. Let c be f(5). Suppose c = 4*r - 7. Suppose 3*n = 4*p + 9 + 11, -4*n + 20 = -4*p. Solve n*d + r = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18194692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39357819 is divided by 714.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41609537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = w - 40. Solve -4*z - 32 = -w*o, 3*o = -2*z + z + 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -2411?\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-107429)\/(-1133) - (-2)\/11. Let z(l) = 5*l + 4. Let y be z(3). Suppose y = -4*k + o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, v: 1}. Give prob of picking 4 r.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.899 - -0.88642. Let r = -0.012 - o. What is r rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4263100)\/300*(1 - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.522 (b) -3 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*k - 6, -11*b + 6*b - 18 = -k. Let r(j) = 13*j + 4. Calculate r(b).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 - 2*l + 6. What is w(-3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(4 + (-1 - 0)). Let x be (330\/(-45) + 7)*36\/(0 - 3). Solve -y = -x*y + l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26872*t - 4*h = -26867*t - 40, t - 2*h = 8 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-2 - (-1 + 5 + -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 89 = -63. What is the tens digit of (-2*3 - -2) + t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*p - 4947 = -1567 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108271\/15 - 7218. Let a(p) be the second derivative of 1\/100*p**5 + 0*p**2 + 0 + c*p**4 - 11*p + 0*p**3. Suppose a(k) = 0. Calculate k.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192802.9646 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163110450*j**4 + 16835508*j**2?\nAnswer: 3914650800*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15949748, -31899495, -47849242, -63798989, -79748736?\nAnswer: -95698483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/(i\/(i*i*i**(-6\/5))))\/(i*i**(4\/9)\/i*i*i*i\/i**6) assuming i is positive.\nAnswer: i**(376\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/912*484 + -35?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 37079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 13*a - 49. Let p be m(16). Is 2\/211 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7294\/24097 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -4. Suppose y = -4*h, 7*h = -3*y + l*h + 7. Let p be 3\/((-9)\/6) + y. Solve 0 + 2 = p*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**8\/1008 - v**7\/315 + v**6\/360 + v**5\/90 + 15*v**2. Find h such that t(h) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -31 + 489*i + 48 - 27 - 475*i. Let b(w) = 9*w - 7. Calculate 7*b(r) - 5*n(r).\nAnswer: -7*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1235 and 2223?\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (257\/2)\/(11\/(-8 - -52)) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36261024 (base 7) to base 8.\nAnswer: 14232510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-801)\/(-90) + (-10)\/(-4). Is m smaller than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-9))\/(6\/27). Solve 0 = v - 5*v - p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85895388?\nAnswer: 2, 3, 2385983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 11) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 150*l + 2258. What is k(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o**2 - 31*o**2 + 10*o**2 + 2 - 3 + 1.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87366 is divided by 29120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**3\/3 + 1. Let z(d) = -15*d. Let s(y) = 8*y. Let j(a) = -5*s(a) - 3*z(a). What is w(j(x))?\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-14))\/(-6 + 261\/42). Let o be (1 + 4)\/(j\/32). Is 19 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2490 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**6*z*z*z\/(z\/z**6)*z*((z**(-1\/4)*z)\/z)\/z*z*z*z**13 assuming z is positive.\nAnswer: z**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = -3*s + 8, 20 = 3*s + z. Let k be (24\/(-108))\/(8\/s). Which is the second biggest value? (a) k (b) -0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6994530 divided by 466302.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108695 minus -0.028268?\nAnswer: 1108695.028268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13884 divided by 13884?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518*s - 81*s + 43*s**3 + 599*s.\nAnswer: 43*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u. Let c be -4 + 6 + u + -2. Which is greater: -1\/8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*j - 539 + 466 + 688 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -91 in 5, -5, 444?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 3:35 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnmmt. What is prob of picking 1 t and 2 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -972 - 58 = -10*h. List the prime factors of h.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(17) - ((sqrt(17) + -2)*-4 - sqrt(17))**2).\nAnswer: -484 + 81*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**3 + 42*n**2 + 45*n - 540. Calculate m(10).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-2)*(0 + 13). Let h(u) = -u**2 + 18*u - 17. Let r be h(6). Let k = r + y. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g. Let t(c) = -23*c + 8. Calculate u(t(x)).\nAnswer: 115*x - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 646769 and 531743.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -698, -1413, -2166, -2969, -3834?\nAnswer: -4773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t - 28. Let d be t\/((-84)\/(-16))*-6. Is (-1735)\/(-20) - (-2)\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2*h + 5)*(54 + 168 - 36)*(-2 - 1 + 2) to g*h + i and give g.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-136)\/(-22))\/4 + (4 + -2)\/(-2). Suppose -2\/11*x**5 + 0*x**4 + 0*x + 0 + g*x**3 + 4\/11*x**2 = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = a + 4*a - 175, 0 = 5*z - 2*a - 194. Let l be 91144\/(-292)*(-1)\/z. Let v = l + -1\/292. Find the common denominator of v and 15\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microsecond in nanoseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4 - (2 + -2)) + -31 + 97 + -77.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1213, -4, -749, 0 in descending order.\nAnswer: 0, -4, -749, -1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(700) - (-3*sqrt(84))\/sqrt(3))\/((sqrt(288)*-6 + sqrt(32))\/(sqrt(96)\/sqrt(3) - sqrt(8))).\nAnswer: -23*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10848 divided by 10848\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4980.447km to meters.\nAnswer: 4980447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*s**3 - 42*s**3 + 61*s**3 + s**3.\nAnswer: 81*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 0 + 2 + 0 - j**2 + j. Let m(h) = -2*h - 26. Let t be m(-14). Let z be y(t). Do -4 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Is 111 + (c - 2) + 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12012 (base 8) in base 16?\nAnswer: 140a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -631\/4 + 159. Let w be (-2)\/(-3 + 111\/39). Suppose -1 = w*r - 14*r. Is r equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 2. Suppose -35 = -3*d - 8. Suppose 0 = -2*u + 5*u - d. Calculate the remainder when u is divided by b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 716*l + 2928.\nAnswer: -4*(l - 4)*(l + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 - 144. Let j be (-434)\/42 - (-1)\/u*2. Put -5, j, 3 in ascending order.\nAnswer: j, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1011000010101111?\nAnswer: -1011000010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/119 and 60\/2261.\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 38 - 468. What is the remainder when 135 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -2*t + 101. Suppose 8 = t*x - 0. Solve -6*l + x*l = 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.25 - -0.25. Let p = -1940\/77 + 274\/11. Let k = -3 + 3.1. Which is the nearest to k? (a) -2 (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 10:00 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 343.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3507 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49554372 by 1769799.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 506*s + 490*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 11*h - 40. Solve 5*w + 3 + 4 = 2*m, -h*m - 24 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 637 and 0.471552?\nAnswer: 636.528448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g + 3*i, 4*i + 3 + 9 = 0. Factor -9*z - 4*z**3 + 3 - g*z**2 - 2 - 3*z - 5.\nAnswer: -4*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/7 (b) 2\/5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16\/11 - 70\/33. Which is smaller: v or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 1. Let u be n(1). Suppose 8*t = u*t + 30. Sort t, -5, 5 in descending order.\nAnswer: t, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*n**2 + 11 - 12*n**2 - n - 5*n**2 - 7*n**3 - 5*n**2 wrt n.\nAnswer: -42*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**2\/2 + 2*g - 1. Let r(q) = 5*q - 2. Let o(h) = 13*h - 5. Let u(x) = -3*o(x) + 8*r(x). Determine 3*u(f) + 2*y(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -277119 (base 10) to base 13.\nAnswer: -9919b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let s be n(-5). Let y = s + -2. List the prime factors of 8\/y + (-4)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-3)\/50*135\/(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -10. Let y = -189\/2 - -92. Let q = -0.9 - -0.9. Which is the smallest value? (a) w (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12083*d + 75 = -12080*d - 4*a, -4*d + 7*a = -125 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1032.868 - -1031. Let j = 27.2 + -29. Let x = j - y. What is x rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1134 and 97\/1661814.\nAnswer: 14956326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25277 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 8 + 0)*(11*h**2 - 3*h**2 + 12*h**2)*(0*h - h + 2*h).\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21195 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.3. Let q = 0.6 - h. Sort -2, -0.2, q in decreasing order.\nAnswer: q, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 802 + -612. What is the highest common divisor of 30 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/96375 and -97\/16302.\nAnswer: 523701750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-24)*k**(-29) assuming k is positive.\nAnswer: k**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 1.4, -3\/2, 11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/4 + 6\/4. Let h be (4\/(-6))\/(l\/(-15)). Let v = -2.8 + -0.2. What is the third smallest value in 2\/23, h, v?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 18*t**2 + 2*t**2.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -482 and 0.3847.\nAnswer: -185.4254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + h**2 - 2*h + 1. Let x(z) = -7*z**3 + z**2 - 11*z + 7. Let v(g) = -6*t(g) + x(g). Calculate v(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24338836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-612)\/(-45))\/((-20)\/(-25) + -2))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**5 + 6130*m**4 - 1433735*m**3 - 287062150*m**2 - 282730240*m + 571220000 = 0.\nAnswer: -125, -2, 1, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - -25. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242906 is divided by 80328?\nAnswer: 1922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d - 4. Let t be z(-4). What is the greatest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119)*-2 + sqrt(119) - sqrt(119))*-2)\/sqrt(7)*2 - (sqrt(17) - (sqrt(272) + 3 + sqrt(272))**2 - (sqrt(425)*-1)**2))*1.\nAnswer: 41*sqrt(17) + 1522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 3. Let i(p) = -p + 1. Let k(m) = a(m) + 2*i(m). Let t be k(0). Solve -2*z - 3 = -t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69082 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -439 - -438.9335. Round c to three dps.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmk when three letters picked without replacement from {k: 9, m: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 931, 1868, 2805, 3742, 4679?\n\"Answer: 937*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -482, -20.\nAnswer: -482, -20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 4. Let i = x + -26. What is the second biggest value in -0.3, i, 0.2, -3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752414 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 978\/4*420\/(-63). Round j to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3056.813 from 2869.\nAnswer: 5925.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270887 is divided by 892?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*k = 66. Let b(h) = -3*h**3 - h**2 + 9*h - 18. Let t be b(5). Let g = k - t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 51*w + 215. What is u(-15)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 120 = 2*r + 1366, -2*h - 4*r = -718. What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b + b)*(-1009*b + 1009*b - 75*b**3) + (-1 - 4*b**2 + 1)*(-3*b**2 + 5*b**2 + 0*b**2).\nAnswer: 142*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 93\/5. Let h = -7\/20 + o. Which is greater: h or -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3820059408 to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(60)\/(sqrt(60)\/sqrt(5))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2752)\/(-32))\/(10\/(-10)*2\/1)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2\/3 - 276*w - 3376\/3 = 0.\nAnswer: -4, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -28*r + 5. Determine a(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1258486*p*w**3*x + 48*p*x + 2*w**3 + 65*w**2 - 16634*w*x wrt p?\nAnswer: 1258486*w**3*x + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/5 + 4\/10. Let t = 16 - 127\/8. Which is greater: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.098 and 1.42?\nAnswer: 0.13916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.03 - -0.03. What is the nearest to -2\/3 in -5, 1\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -501 less than 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*w**4 + 5*b*w**2 + 63*b - 2*w**2 - 2 wrt w.\nAnswer: 8*b*w**3 + 10*b*w - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*k + 276097 = 40*k - 15111. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1. Let y(d) = 6*d - 8*d + 7 + 2*d + d. What is 21*s(n) + 3*y(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/(x**(-1\/10)*x*x*x*x)))\/x)**(-21)*x**(-1\/34)*x**(-3\/29)\/x assuming x is positive.\nAnswer: x**(-204676\/2465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 6*v = 10. Let t(i) = 7*i**2 + 11*i + 38. What is the tens digit of t(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48708833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -5. Let f = 8 + p. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a day in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357\/35 + -10 - 5208\/(-10) is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 - y**2 + 0)*(1884*y - 343*y - 4525*y - 3897*y) to i*y**2 + o + b*y + h*y**3 and give h.\nAnswer: 6881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.6 - 31. What is the nearest to 2\/7 in -5, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7 = -5*x - 2, -3*x = -v - 3. Let b = -107\/1074 - 12\/179. What is the closest to 0.1 in b, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7088 divide 7345617172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 4. Let f = -2\/3015 + 2347\/3015. Find the common denominator of o(-7) and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 7*y**2 - 6*y - 4. Let a be h(8). Suppose 0 = -0*p - 4*p - a. Is (-1)\/3*p + 52 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-76)\/10*(-50)\/5. Suppose -5*r = -3*r - j. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -1\/2, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/6 + 13966*f**3\/3 - 195160843*f**2\/6 + 259949170*f - 227427018 = 0 for f.\nAnswer: 1, 7, 13962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 w, and 1 i when three letters picked without replacement from pspiiwpziipiiizi?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154 + 155. Which is the closest to s? (a) 2 (b) 6 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1)*(-3)\/6. Let a(l) be the first derivative of -2*l + 0*l**3 - 2 + g*l**4 + 0*l**2. What is the first derivative of a(c) wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 166457\/81 + -2055. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 12:50 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 39*p**2 - 59*p - 63. Let m be (-85 - -3)*(-4)\/8. What are the prime factors of x(m)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 16, 35, 62?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(25)\/(4*sqrt(5)*-3 + sqrt(5)))**2.\nAnswer: 4*sqrt(5)\/11 + 489\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18576038 is divided by 3696.\nAnswer: 3638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*l - 76*l = -172. Suppose -5*t = l - 272. What is the least common multiple of t and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3*sqrt(847) + (sqrt(847) - -4*sqrt(847)) + -3 - ((-4 + sqrt(847) + -1 + sqrt(847) - (sqrt(847) - (sqrt(847) + 1))*-4) + -1))*-2)**2.\nAnswer: 2640*sqrt(7) + 122068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22825, -22823, -22821, -22819, -22817?\nAnswer: -22815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-16)\/(-19)) + (13845\/312 - 44)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttuuquuub. Give prob of sequence ubut.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 822895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 2, 21, 48, 83?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**39*g**(4\/9)\/(g**(-3)\/g))\/(g\/(g\/g**(1\/7))*((g**1\/g)\/g)\/g)**13 assuming g is positive.\nAnswer: g**(-3113\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12))\/((-8)\/336*-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(18) - sqrt(50) - sqrt(50))\/((sqrt(40) + sqrt(10))*5).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4361632 - 0.1?\nAnswer: -4361632.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 5*y**2 - 4*y + 2. Let o be s(4). Differentiate -4*i**4 - 18 - 2 + 0*i**4 + o*i**4 with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28618 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1826*c + c**2 - 3655*c + 1829*c. Suppose -13 = -3*y + 2*d, -2*y + 3 = -2*d - 9. Let j(f) = -1 + y + 2*f. Calculate j(n(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -309340878 divided by 103113626?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/5 (b) -2 (c) 2\/1293 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39002 is divided by 481?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -638, 4, 3 in decreasing order.\nAnswer: 4, 3, -638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2334 = 15*y - 174. Let q = 332 + y. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1882*b**2 + 49*b - 406. Let u(g) = 4704*g**2 + 126*g - 1014. Let p(n) = -7*u(n) + 18*w(n). What is the derivative of p(t) wrt t?\nAnswer: 1896*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17d + -1?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1215750501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (2 + sqrt(288))**2) + sqrt(288) - (-3 + sqrt(8)\/sqrt(4) + sqrt(2))**2.\nAnswer: -309 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4602 and 2106.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -13 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-168)*-6)\/((-6)\/8)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by -8\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10015.57 - 10075. Let x = -0.57 + f. Is -0.1 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1809319 millilitres in litres?\nAnswer: 0.0001809319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f. Suppose 0 = -5*l - 0*l - 20. Let x be 1\/(-4) + (-17)\/l. Let z(a) = 0*a - 5*a + x*a. Give z(g(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -46. Let d be (-3)\/(1 + 5)*5\/u. Solve -1\/4*q**2 + d*q**4 + 1\/4*q**3 - 1\/4*q + 0 = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(6\/5)*y)*y)**(1\/45) assuming y is positive.\nAnswer: y**(-1\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -754, -3020, -6782, -12028, -18746, -26924, -36550?\n\"Answer: 2*l**3 - 760*l**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3330*s**5 - 2*s**2 - 3566*s wrt s?\nAnswer: -199800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -10. Calculate the common denominator of 0 + (h - 106\/(-40)) and 121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2 - 1. Let k be 12\/3 + (f - 3). What is the second derivative of 0*s + s - k*s**5 + s**5 wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/4 - 341*z**3 - 116960*z**2 - 462400*z = 0. What is z?\nAnswer: -680, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 414006 = -8*u, 15*u - 16*u + 3*d = -51737. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -7*y - 572. What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + 1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3851726 to the power of 1\/2, to the nearest integer?\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -353852782 - g**3 + 353852782 + 5*g**4 - 729*g as f*g**3 + c + x*g**2 + j*g**4 + h*g and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 9052534.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*i + 7 = 0. Calculate the remainder when i is divided by 2 - (4 - 5)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {k: 3, h: 10, i: 2, n: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 0*h + 9 + 0*h**2 - 11\/7*h**7 + 0*h**5 + 0*h**4 - 11\/3*h**3 + 0*h**6. What is the third derivative of s(x) wrt x?\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 - 3*c**4 + 13*c**4 + (3*c - 88*c**4 + 18232*c**3 - 18232*c**3)*(-1 - 2 + 1) to f*c + s*c**3 + j + k*c**2 + d*c**4 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h - 48*h - 42 = j, h + j + 7 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -385.518 rounded to the nearest integer?\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*i*n**2*y - c**2*i*n*y + c**2*n**3*y + c*n*y + 14*i*n**3 - 11*i - n**3*y wrt n.\nAnswer: 6*c**2*y + 84*i - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/9)*d**(-40)*((d**3\/d)\/d**(1\/2))\/((d*d\/d**(-3))\/(d**1\/d)) assuming d is positive.\nAnswer: d**(-785\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Let m be (l\/4 + 0)*0. Differentiate -9*k**4 + m - 3 + 7*k**4 wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2560*l**2 + 2577*l**2 - 7927*l**2 + 2490*l**2.\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -4, -5, 39, 0, 53 in decreasing order.\nAnswer: 53, 39, 30, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*j + 2 - 4 + (2 + 3 - 3)*(-2*j - j + 2*j) + 752 - 269*j - 752.\nAnswer: -273*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73? (a) -0.81 (b) 1 (c) -0.0516\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59762 and -1?\nAnswer: -59762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 + 9*r + 4. Let u(s) = 3*s**2 + 5*s + 2. Let t(q) = -2*h(q) + 5*u(q). Give t(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53146606 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: b\"What is the mth term of -108, -440, -994, -1770, -2768, -3988?\n\"Answer: -111*m**2 + m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-5))**(-26))**(-46))**(26\/9) assuming k is positive.\nAnswer: k**(-124384\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925440 divided by -160?\nAnswer: -12034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9772, -1, 0 in decreasing order.\nAnswer: 0, -1, -9772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424064, -424046, -424026, -424004, -423980, -423954?\nAnswer: -423926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 25 - 7 - y**2 - 7*y + y + 3*y. Let p(h) = -2*h**2 - 4*h + 17. What is 3*o(m) - 2*p(m)?\nAnswer: m**2 - m + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 39423 and 26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-107)\/(6955\/50)*-130?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 5704431?\nAnswer: 5704424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*w**2 + 1)*((3*w + 3*w - 4*w)*(0 + 0 + 2) + 11 - 120*w - 24 + 14).\nAnswer: -232*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 13 = 2*z. Let s(i) = -8*i - 2. Let v be s(-1). Suppose 0 = 2*p + z*m + 19, v*m = 4*p + 2*m - 32. Solve -2*j - p*f - 7 = 5, 2*j + f = -8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -4 (b) 20 (c) 15 (d) -0.4 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -7)\/(-1 - -4)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 129180320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32976.38 kilograms in tonnes?\nAnswer: 32.97638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 143. Let j be q(-35). Find the second derivative of 174*y - 8*y**2 - 70*y + 84*y + 3*y**2 - y**j wrt y.\nAnswer: -6*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 3. Let y(u) = 3*u**2 - 11*u + 7*u - 3 - 14*u - 1. Let f be y(6). Give w(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 122311?\nAnswer: -122312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/92 (b) -8 (c) 5 (d) 0.3 (e) 28\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 25. Let g(b) = b**3 - 7*b**2 + 9*b - 14. Let y be g(o). Is 1 - y - (-13 + -2043) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1062805 at least -1062806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154750074 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 708 and 791367.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f. Let k(l) = 48 - 23 - 127*l**2 + 52*l**2 - 25 + l. Give k(c(d)).\nAnswer: -675*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5628 - 4*(4 + -5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 2) + 1 + 7. Solve -4*b = -4 - n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 496068 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtzb when four letters picked without replacement from {t: 1, o: 1, g: 2, b: 1, z: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5*p**2 - 5)*(p + 3*p - 5*p) + 0*p**3 - p**3 + 3*p**3 + (1 - 1 - p)*(-p**2 - 2*p**2 + p**2) - 2*p**3 + 0 + 0.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*t**2 + 108*t**2 - 53*t**2 + 43*t**3.\nAnswer: 43*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 852b06 (base 12) in base 7?\nAnswer: 23562435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 381*b**3*s**3 - 28*b**3*s**2 + 4*b**3*s + 2*b**2*s**2 - 95*b*s**3 - 36*s**2 wrt s.\nAnswer: 2286*b**3 - 570*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-76 + 9 - -31) - -57.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/55)\/((m*m**(-16\/7))\/m))**(1\/2) assuming m is positive.\nAnswer: m**(433\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*m - 16 = 334*m. What is r in 0*r + 0 + 4\/7*r**5 + 4\/7*r**m + 0*r**3 + 0*r**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**4 - r. Let h(s) = -31*s**4 + s + 24. Let u(f) = h(f) + v(f). What is the derivative of u(j) wrt j?\nAnswer: -128*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllv when four letters picked without replacement from vvlvvll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427144080?\nAnswer: 2, 5, 17839301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 10*y = -2*y - 138 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3072 divided by 768.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 + 20 + 12*v - 4*v**2 + 7*v - 3*v. Calculate the least common multiple of 8 and d(-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 5*y**2 - y + 11. Determine w(7).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -297*t + 364*t + 938 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92944 - 42226. Let a(b) = -31*b**3 + 50718 + b**2 - h. Let r(y) = -y**3 - 2*y**2 - y - 1. Let z be r(-2). Calculate a(z).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-8 - (-1 + 3) - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 3*q - 5*b + 10, 3*q = 5*b - 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 4:00 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + (6 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t - 15. Let y be x(-4). Calculate the highest common factor of 8 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 99588, -1 in decreasing order.\nAnswer: 99588, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6265.818 and 0.216.\nAnswer: -1353.416688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1*(-2)\/2 - 3) + 309.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 0)\/1 - -4. Solve d + 3*f = -f - 11, -3*d - f = m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m. Let z(k) = 279*k + 7. Let o(a) = -3 + 34*a - 103*a + 5*a - 78*a. Let i(t) = -7*o(t) - 3*z(t). Calculate f(i(s)).\nAnswer: 628*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (8\/(-2) - -2). Let w = 16 + h. Suppose -4*z = -4*s + 1 + 3, -3*z = -5*s + 13. Calculate the lowest common multiple of w and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-231)\/14 - -11 - 4*-2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = 2*q. Put 5, q, 0 in decreasing order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1131972 minus 34935?\nAnswer: -34931.8868028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -59.2.\nAnswer: -1006.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/(-5) - 4\/(-10). Let h be (-36)\/6*-1*(-1)\/(-2). Let u(v) = -v**3 + 4*v**2 + 3*v. Let q(f) = -3*f**3 + 11*f**2 + 8*f. Give g*u(t) + h*q(t).\nAnswer: -t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u + u)*(u**2 + 3*u**2 - 5*u**2) + (3 + 8 + 3)*(-4*u**4 - 2*u**4 + 3*u**4 + (0*u**2 + 2*u**2 + u**2)*(-u**2 - 3*u**2 + 2*u**2)).\nAnswer: -124*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 40\/(-22) + 2. Let z be 7 - 8 - (-3 + 1). Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/13, 8, -3 in descending order.\nAnswer: 8, -5\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 806442.8ml in litres?\nAnswer: 806.4428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 8 + 17)*(-1 - a - a + 2) + a - 4*a + 4*a + (14 - 5 - 7)*(-1 + 1 + a) in the form j + k*a and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13947, -27899, -41851, -55803, -69755?\nAnswer: -83707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*z + 133*z - 246*z = 627*z - 9243 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50 + 5?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359659.\nAnswer: 457, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4216 less than -71687\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1679\/4448 or 0?\nAnswer: 1679\/4448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*t*u*v**3 + 2*m**2*u*v**2 - 4*m**2*v**2 + 2*m*u*v - 2*m*u - 3*m*v**3 + 3*t*u*v + 4*t wrt m.\nAnswer: 4*t*u*v**3 + 4*u*v**2 - 8*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220208462.\nAnswer: 2, 3, 11, 19, 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**4\/4 - 10*u**3\/3 - 5*u**2 + u + 1472. Suppose 3*j - 11 = 2*j + 4*n, -j + 3*n + 6 = 0. Calculate g(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**2 + 32*o - 80 = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1691297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(672))\/((sqrt(66)*-3 - sqrt(66) - sqrt(66))\/sqrt(11)))**2 + 0 + 4*(sqrt(252) - (-3 + 2*sqrt(252)))**2.\nAnswer: -144*sqrt(7) + 26212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -20*k + 506. Is 2 a factor of v(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -152, -237.\nAnswer: -237, -152, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 6, a: 5}. What is prob of picking 2 h and 1 m?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -1592*h**5 - 21012*h**4 - 84264*h**3 - 74528*h**2 + 107136*h - 23040 = 0. Calculate h.\nAnswer: -6, -4, 60\/199, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -13, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -1*(1 + -2*19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 6*h = 93. Let f(o) = 1 - h*o**2 + 4*o - 3*o**3 + 2*o**3 + 33*o**2. Determine f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/69879107 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 + 59 = 78*t. Sort t, 1, 0, -1, 43.\nAnswer: -1, 0, 1, t, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjdjjjjdjjjjj. What is prob of sequence jdj?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 4.2. Let g = 3.9 + c. Sort -0.2, 2\/3, g in increasing order.\nAnswer: -0.2, g, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.603 + -2.603. What is the second smallest value in -5, 0.3, 83, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (15 - (-8 - (-10 - -2 - 6))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**4\/12 - 5*w**3\/6 - 3*w**2. Let g be d(-5). Suppose 0*u - 3*f - 755 = -4*u, g*f - 160 = -u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (1 + -18)) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 8*x**2 + 8*x + 3. Let d(y) = 17*y - 27. Let i be d(2). What is r(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1350260, -2700522, -4050784, -5401046, -6751308?\n\"Answer: -1350262*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g - 8. Let b(q) = 16*q - 2. Determine l(b(d)).\nAnswer: 112*d - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 = 7*u - 174. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/213381 and -127\/474180.\nAnswer: 4267620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:03 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -833303.18 rounded to the nearest one thousand?\nAnswer: -833000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11950, -124 in increasing order.\nAnswer: -124, -2, 11950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 113066 - 9?\nAnswer: 11305d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 20*f + 9. Let z(u) = -u. Let l(m) = -x(m) + 4*z(m). List the prime factors of l(12).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -1 - 13. Suppose -3*a + 199 = -0*a - 2*b, d*a = -4*b + 154. Is a less than 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -235 - -3?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 174\/11*i**2 + 170\/11 - 2\/11*i**3 - 342\/11*i.\nAnswer: -2*(i - 85)*(i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -974, 2, 140 in ascending order.\nAnswer: -974, -3, 2, 3, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 2120*q - 2120*q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 552*o**2 + 3*o - 2. Give v(1).\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0 + 9\/20*m**5 + 23\/12*m**4 + 0*m**3 + 0*m**2 + 58*m. What is the third derivative of q(v) wrt v?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588381 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/(a*a\/(a**(2\/29)*a*a))*a)\/a)\/(a\/(a\/((a\/((a**(-2\/19)\/a)\/a)*a)\/a)*a)))**48 assuming a is positive.\nAnswer: a**(25488\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 2*w**2 - 147*w + 410. Determine o(10).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 11*c**2 + 3*c - 30. Let y be b(11). Solve 0 = s + l, -11*s + 13*s = y*l - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 232 = -7040. Suppose 2*a = -2*y + 4*y + c, -a = 3*y - 859. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 + 78. Which is the nearest to -1\/3? (a) -5\/4 (b) i (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from whtjjtjrttstsjthrs.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 23*j - 90. Let s(i) = -i**2 + 36*i + 15. Does 25 divide s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/10 and 5\/177.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/62538010 and -9\/3767350.\nAnswer: 312690050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q**2 - 2*q)*(-5 - 1 - 1) - q**2 - q**2 + 10*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (3 - -1) + 19. Calculate the highest common divisor of 66 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13353 (base 6) in base 15?\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 2118186*u**2 + 14827204*u.\nAnswer: 2*u*(u + 7)*(u + 1059086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31925268 divided by -1773626?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 4*t + 5*t + t - 6 - 4*t. Let o be (1\/2)\/(1 - 76\/72). Let k = o + 15. Let w(i) = -3*i**2 + 17*i - 17. What is k*w(u) - 17*q(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:51 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/17020 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38015502 and 6216?\nAnswer: 152062008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -203716.\nAnswer: -1\/101858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 4*a**2 + 9*a - 8*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*z + 678*z - 359*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 + 7 - 7)*((-c + 3*c + 0*c)*(c + 0*c - 3*c) + 62 - 62 + 35*c**2) as k + g*c**2 + r*c**3 + b*c**4 + d*c and give b.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**2 - 17190*f**3 - 13*f**2 + 8488*f**3 + 8583*f**3.\nAnswer: -119*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2400084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + i - i**2)*(-4 + i + 4) - i**3 - 14*i**2 - 7*i**3 + 11*i**3)*(-2*i + 8*i + 0*i).\nAnswer: 12*i**4 - 84*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:29 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -43.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21018436.\nAnswer: 2, 67, 78427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.9, 11, 9\/11, 3, 4, -2 in decreasing order.\nAnswer: 11, 4, 3, 0.9, 9\/11, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154079 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2\/2 + 3063*i\/2 + 7695 = 0. Calculate i.\nAnswer: -5, 1026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 993\/(-123) + ((-38)\/190 - (-164)\/20)?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*q + 191 + 57 = 66. Solve 0 = 2*v + 3*y - 2 + 5, 0 = 3*v - q*y + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1022, 6, 46, -11 in descending order.\nAnswer: 46, 6, -11, -1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + -6375.44956?\nAnswer: -6375.47956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 77. Suppose -2*a = -2 - 152. What is the greatest common factor of a and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 - 443435*j**2 - 11083320*j - 50537340 = 0.\nAnswer: -88662, -19, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = -90*a. Solve -q = l - 3, l - 8 = -2*q - a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmrmrmrrrmrrrmmrrrr. Give prob of picking 4 r.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*u, 72*w - 1 = -2*u + 69*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1272, 4, -4, 2, 5 in decreasing order.\nAnswer: 5, 4, 2, -4, -1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 11*q - 1. Let l(t) = -t. Determine -3*l(w) - o(w).\nAnswer: 2*w**3 - 8*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + sqrt(4000) + (sqrt(4000) + sqrt(4000)*2 + sqrt(4000) - sqrt(4000)))\/sqrt(8).\nAnswer: 41*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4182, 21013, 49080, 88395, 138970, 200817, 273948, 358375?\n\"Answer: 2*j**3 + 5606*j**2 - j - 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((((sqrt(70) + (-2*sqrt(70) - sqrt(70)) - sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(7))\/(-2*sqrt(2)*-3 + sqrt(2)) + (-1 + sqrt(2880) + 2)**2).\nAnswer: 333*sqrt(5)\/7 + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40759?\nAnswer: 40759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/5, -1, -4, -3\/4.\nAnswer: -4, -1, -3\/4, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -42. Let w be k\/(-21) + (-1)\/(21\/(-5823)). Suppose 5*j = 3*m - w, -m - 148 = -3*m - 4*j. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/((-14)\/(-14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, k: 1, s: 2, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 22540722526006.\nAnswer: 22540722526012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.06 + -596381992?\nAnswer: -596381987.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -564 + 1691\/3. Which is smaller: -188 or f?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + -1 - (4 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 1. Let z be p(-1). What is the smallest common multiple of 12 and 13 - 6\/(-1 - z)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -10*o. Suppose o = r + 2*r - 12. Suppose 1 = -g + r. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00419663 to 5 decimal places.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 112*d**2 + 324*d - 483. Give s(-109).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(sqrt(85)\/(sqrt(720)*-6 - sqrt(720)) - (sqrt(68)\/sqrt(36) - (0 + sqrt(833)))**2))*6.\nAnswer: -67964\/3 - 5*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 19*v**2 + 8*v - 15. List the prime factors of h(-20).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - 144*n + 4070. What is p(24)?\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -875776359, -875776358, -875776357, -875776356?\nAnswer: -875776355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -1200011010120010?\nAnswer: -1200011010120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**3 + 3*t**2 + 6*t + 71. Let i(a) = -20*a**3 + 9*a**2 + 17*a + 212. What is 6*i(w) - 17*v(w)?\nAnswer: -w**3 + 3*w**2 + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4662*n - 1169*n - 1151*n - 1154*n - 1166*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) 4 (c) -5 (d) 181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 73\/4 + (-1)\/4. Suppose 5*r - 20 = -v, -3*v + 23 = -4*r - 18. What is the smallest common multiple of 4 and (g\/(-5))\/((-6)\/v)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*l - 12 + 12.\nAnswer: -76*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2454 is divided by 1224.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 25 = -2*x. Let k(f) = 7*f + 3. Let a(u) = -3*u - 1. Let h(j) = x*a(j) - 2*k(j). Let n be h(8). Solve -2*m - 22 = -v + 2*m, -4*v = 3*m + n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 + 3*k**2 + 5*k - 8. Let h be b(6). Round h to the nearest ten.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i. Let r(p) = 2*p - 55 + 55. Calculate m(r(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2857?\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -50, -1\/3, -1, 8, -0.8 in increasing order.\nAnswer: -50, -2, -1, -0.8, -1\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -4. Let t = -10.2 - -9. Let y = k + t. What is the second biggest value in y, 0.4, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.8197153 to 1 decimal place.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 5\/6*j**2 - 2*j - 2\/15*j**5 + 194 + 1\/18*j**6 + 8\/9*j**3 - 1\/2*j**4. What is o in i(o) = 0?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) + -6*2*sqrt(156) - sqrt(156)))\/(sqrt(576)\/sqrt(3)).\nAnswer: 13*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6}. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3 = -40*c + 102. Let k(z) be the first derivative of 0*z**4 - 20\/3*z**c + z**5 + 0*z**2 + 0*z + 11. Determine h, given that k(h) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01291 (b) -0.5 (c) -59.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -365 + -55. Round b to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -59\/3 (c) 0.2 (d) -490\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + z - 123646 + 638355, -3*z - 12 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4141*l**5 + l**2*x + 4*l*x + 10*x + 14 wrt l?\nAnswer: -82820*l**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -104\/407 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -27. Suppose u - b = -5. Is 1 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118863 is divided by 1776.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 7*x**2 - 7*x + 4. Let o be i(6). Suppose -4*y + 496 = -u + 630, -4 = 4*y. Sort 2, o, u in ascending order.\nAnswer: o, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i - 70 = -36*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*r - 12 = 0, -b - 4*r - 12 = -6*b. Suppose b*g - 39 = g. Let w = 71 + g. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198, -4, 1, -3, 3, 5, 7 in ascending order.\nAnswer: -4, -3, 1, 3, 5, 7, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -930498)\/(-46 + 45). What is h rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 859 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -87 and -32208328609.\nAnswer: -32208328696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13 - 10 + 130*l**4 - 6 - 10 - 19*l + 35 wrt l.\nAnswer: 1560*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 3783460?\nAnswer: 41618060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33 - -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36397417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2522848 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 16)\/((-2)\/(-2)). Let r(m) = m - 7. Let d be r(f). Let i be (24\/(-10))\/((-1)\/5). Is d smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 14*y**2 + 14*y + 15. Let c be z(-13). Suppose 25 = c*k + 3*k. Suppose 4*b + 42 = k*b. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*x - 2*g - 271, 0 = x + 4*g - 241. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -1\/504*o**8 + 0 - 1\/4*o**4 + 0*o - 2*o**2 + 8\/45*o**5 - 7\/90*o**6 + 2\/105*o**7 + 2\/9*o**3. Determine z so that d(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4442, 17972, 40472, 71942, 112382?\nAnswer: 161792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpv when three letters picked without replacement from {c: 1, v: 2, j: 3, i: 6, p: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + u = 1, -3*u = 3*w - 0*u + 9. Let o = w + 2. Solve o = 4*v - 3*p - 4, -2*p = 4*v - 4*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228\/(-424) - (-152)\/4028\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - ((-11 - -11) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-120)\/80)\/(6\/(-4)). Let i = -4 + 6. Let v = 2 - i. Solve -2*t - 3 + q = v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -261.726 - -262. Let z = -0.23 + w. Round z to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 50570*m**3 - 303415*m**2 + 455100*m + 45 = 0.\nAnswer: -1\/10114, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 - -368264.9426.\nAnswer: 368265.1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**3\/3 - 3. Let z = 0 + 2. Let w(k) = 0*k**2 - k**2 - k**z. Give q(w(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0 + 1\/12*k**4 + 0*k**3 - 5*k**2 + 0*k. Let q(r) = 14*r. What is s(q(b))?\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706013 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**2 + 101*h - 3. Let n(a) = -14*a**2 - 200*a + 6. Calculate 5*d(g) + 3*n(g).\nAnswer: -2*g**2 - 95*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*111*(-12)\/(-2960).\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318 + 621 - 939 + 6*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109625581*o**3 - 189925956 wrt o.\nAnswer: 328876743*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27328 - 6075 - 18191 + 15454)*(-4*b**3 - b**3 + 4*b**3) in the form o + n*b**3 + t*b**2 + l*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -39. Let w(b) be the third derivative of 2*b**2 + 1\/30*b**5 - 1\/24*b**4 + g + 0*b - 1\/3*b**3. Determine w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.3 (c) -1\/4 (d) -14 (e) 5\/2 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j + 6. What is w(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6011 + 6530. What is the lowest common multiple of 1038 and r?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43.12654um?\nAnswer: 0.00004312654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 + -16 - 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5715 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28851 hours in days?\nAnswer: 0.01202125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -5*f. Let p = -9 + 9. Suppose 3*n - 7*n = p. Solve 4 = -f*u - n*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/3 (b) 2\/7 (c) 5 (d) -3\/2191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*n - 3 - 71, -s - 3*n + 25 = 0. Suppose 0 = -5*g + 31 - s. Calculate the highest common factor of 12 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235045545?\nAnswer: 3, 5, 7, 2238529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*h**3*z - 910*h*z + 64*z - 1277 wrt h?\nAnswer: 171*h**2*z - 910*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*u - 4*g - 9, 0 = -2*u - 4*g + 12. Suppose -3*d + 51 = d + v, 27 = u*d + v. What is the remainder when 58 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2546*m + 2515*m = -155. Which is bigger: m or 107\/19?\nAnswer: 107\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 2*m. Let f be n(10). Let l = f - 79. Solve 0 = x - l - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - 25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 158, 339, 570, 839?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21068 by 4.\nAnswer: -5267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2724 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 818 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 - d**3 + 2 - d + 2*d**2 + 0 + 4 to p*d**3 + i*d**2 + b*d + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3476849, -27814899, -93875319, -222519293, -434608005, -751002639, -1192564379?\n\"Answer: -3476864*a**3 - a**2 + a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 - 4*g**4 + g**4 + (19 + 32 - 162)*(-695*g**3 + 347*g**3 + 315*g**3)*(4*g - 3*g + 0*g) to x*g + j + f*g**2 + w*g**4 + b*g**3 and give w.\nAnswer: 3661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 157132 + 200818 = 5*w, -2*w - 2*v + 143192 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57612.\nAnswer: 2, 3, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1111 by -18790.\nAnswer: 1111\/18790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/(1*5\/175).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdddddbb. Give prob of picking 4 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*p + 6. Let r(c) = -26 + 3*c**p + 26 - c**3 - 3*c. Let z be (-1)\/(1 + (-6)\/5). Let b(s) = 2*s**3 - 5*s**2 + 5*s - 1. What is z*r(o) + 3*b(o)?\nAnswer: o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*a - 206*a - 612*a - 702*a.\nAnswer: -1182*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84059.\nAnswer: 84059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 526 (base 15) to base 11\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 4212863?\nAnswer: 2\/4212863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*p**3 + 3913*p**5 + 3881*p**5 + 10*p**3 - 19*p**3 + 0*p**5 + p**5 - 2*p**5 + (-4*p**2 + 4*p**2 + p**2)*(4*p**3 - 5*p**3 + 3*p**3).\nAnswer: 7795*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*a**2*g**2 - 3*a**2*g*s + 2*a**2*g - 8*a*g*s + a*g + 116*a + 743600*g**2*s + 2*g - 19*s wrt g.\nAnswer: -82*a**2 + 1487200*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from -1125.01.\nAnswer: -1124.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*x - 1. Let z(w) = -4*w + 1. Let j be z(x). Calculate the remainder when 25 is divided by (2\/j)\/(2\/(-39)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95573\/11340 + -1\/1620. Let f be 259\/(-10)*(-24)\/14. Let w = 539\/10 - f. Find the common denominator of w and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r + 4*r + 0*r + (-5 + 2 + 2)*(1 + 0*r + 0*r + r) to j*r + y and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 296888 bigger than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b + 1. Let f(g) = 5*g**3 + 492*g**2 + 4*g + 4. Give -f(y) + 4*s(y).\nAnswer: -y**3 - 492*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 536 - -8591. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 663717*i**3 + 678478*i.\nAnswer: 3982302*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 11*h**4\/24 - 3*h**3\/2 + 1353*h**2 + h + 2. Let z(s) = 6*s - 4. Calculate -6*o(g) + 13*z(g).\nAnswer: 12*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 5*m + 0*m - m**2 + 34 - 7*m. Let f be q(-17). Let t be (-1 + 2)\/(-1)*f. Which is bigger: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 0*t + t)*(-7171 + t - 7427 + 22343 - 7448) + (-t + 0 + 0)*(0 + 0 + 2*t) as v*t + y + i*t**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67473 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 94926 + 8277. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(-1\/6)))**(-13) assuming z is positive.\nAnswer: z**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 1.2. Which is the nearest to 0.1? (a) o (b) 1\/6 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -2. Suppose 4*r + 14 = u*n, 4*n = 3*r + 2*r + 22. Let v be 1*(r + 3 + 10). What is the greatest common factor of v and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104, -213, -322, -431?\n\"Answer: -109*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-2)\/4 - (6 + (-2514)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:44 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 14 = 12. Suppose -4*l + 252 = m*l. Find the first derivative of 10*i + 13 - l - 2 wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 8:20 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 10230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*sqrt(1900)*4.\nAnswer: -320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 3:56 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4300 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0603 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*p + 5*j, -3*p + 2*j = -2*j - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 5, p: 12}. Give prob of picking 2 t.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 56 (b) 1 (c) -3 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1746834, 3493673, 5240512?\nAnswer: 6987351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c. Let w(f) = -28*f**2 + 33*f**2 + 3 - 3. Give t(w(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*s + 50. Let f = s + 15. Suppose -2 = -w + f*w - 5*v, -3*w + 10 = 2*v. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (3 - 4 - 2). Let x be (s\/(-12))\/(1\/984). Calculate the remainder when 9\/(-45) - x\/(-10) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lltrtlotcllolcprt. What is prob of sequence crto?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 6*n**2 + 2*n + 9. Let c be h(-6). Let d be (-20)\/(-60) - (-20)\/18*c. Let v(u) = 6*u + 4. What is v(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 45*f**2 - 6005*f - 6057. What is p(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 1, f: 1}. What is prob of picking 1 f and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13*s**2 - 2*s - 10. Let m(g) = g**3 - g**2. Let t be m(2). Suppose 0 = t*p - 5*r, 7 - 3 = r. Is l(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.9139 and 629730.05?\nAnswer: 629722.1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(2*p**4 - p**2 + p**2) - 27 + 37*p**4 + 27)*(-148 - 30 + 303).\nAnswer: 4125*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9444777 milliseconds in minutes?\nAnswer: 0.000015741295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (419\/(28492\/(-408)))\/(((-12)\/40)\/(-1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.67 and 2068.\nAnswer: -1385.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (9 - 11 - 3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*t = -4 + 9, -3*t + 3 = -2*h. Suppose j - 4*i + 11 = h, 4*i - 9 = i. What is the units digit of (1\/(-2))\/(j\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1373 - 202. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -369701.\nAnswer: -369697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/sqrt(99) - sqrt(99)\/(sqrt(18)\/sqrt(2))) + -3 + (-3 + sqrt(22)\/sqrt(2) - sqrt(22)\/(sqrt(4)\/sqrt(2))).\nAnswer: -6 - 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -199 and -199 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 9. Suppose 4*y + 20 = -y, -3*y = -f*l + 37. Suppose 6*c - 2*c - l*x = -17, -4*c + 33 = 5*x. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1440 - 2064*r**2 + 481*r + 5554051*r**3 + 2351*r - 76*r**4 - 5553403*r**3 - 3*r**5 + 10*r**4.\nAnswer: -3*(r - 2)**4*(r + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 93*q + 104. Let c be a(-94). Which is bigger: 57 or c?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732518317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -23*t**3 + 5*t**2 - 5*t - 5. Let o(s) = -35*s**3 + 8*s**2 - 8*s - 8. Give -8*l(c) + 5*o(c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 153 + 19*w**4 + 154 + w - 14*w**2 - 16*w**4 to the form i*w**2 + m*w + j + k*w**4 + s*w**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 + 8 + -4 - -3. Let n(k) = 3*k**2 + 13*k + 1. Let c be n(l). Suppose 8*r = c*r - 87. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -2. Calculate the remainder when 26 is divided by -18*(10\/z + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**4 + 370*m**2 - 372*m**2 - m**4 - 4 to the form f*m**3 + n*m**4 + d + t*m**2 + r*m and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 9:24 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4)\/b*b**5)\/(b**(1\/4))**48 assuming b is positive.\nAnswer: b**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -110101110 (base 2) to base 4\nAnswer: -12232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -424 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11407*u**5 - 22768*u**5 - 14*u**6 + 11391*u**5 + 17*u - 4*u**2 wrt u?\nAnswer: -1680*u**3 + 1800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/17 (c) -6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -514357827*p**2 - 1161549342 wrt p.\nAnswer: -1028715654*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from sfyvffqosyfqf?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Suppose o = -2*m + 6*m - 88. Suppose -3*f = -m + 4. Solve -f = -3*z + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2139600 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, v: 1, b: 7, p: 2}. What is prob of picking 1 p and 2 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1324277378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 11. Let k be 1\/((i\/3)\/(-5)). Suppose 35 - k = 5*o. Which is the smallest value? (a) o (b) 2\/5 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 4ca?\nAnswer: -4c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (27 - -8) + -1 + -12\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61442779*o**4 + 51763146*o**2.\nAnswer: 1474626696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9867, -18913, -27959, -37005, -46051, -55097?\nAnswer: -64143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15228 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41.9? (a) 2\/3 (b) 4\/5 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -92*p**2 + 5*p - 29. Let j(a) = a**2 + a - 6. What is -5*j(g) + y(g)?\nAnswer: -97*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*d - 235 - 105. Solve -d*j = -94*j - 72 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a)**(-2\/47)*(a**1)**(4\/3))**(-11\/3) assuming a is positive.\nAnswer: a**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002738877 to six dps.\nAnswer: -0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*t - 383*t + 198 = 0. Find the second derivative of -34 + 12 - 69*u + 148*u**2 + t*u wrt u.\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35004143, -35004157, -35004171, -35004185?\n\"Answer: -14*i - 35004129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -1081*m**6\/30 - 527*m**4\/6 - 2*m**3\/3 - 6693*m. What is the third derivative of r(i) wrt i?\nAnswer: -25944*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 316155?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -49) + (2 - 1) + (7 - (-10 - -18))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1319997 = 5*p - 2*b, p - 4*b = -264004. Round p to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 + 12*z - 2. Let v(h) = -9*h**2 - 25*h + 4. Let y(s) = 7*u(s) + 3*v(s). Let w be y(-7). Find the common denominator of (4\/6)\/(w\/1116) and 20\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1686 (base 16) to base 12.\nAnswer: -3406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from hknn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8023399, -16046809, -24070219?\n\"Answer: -8023410*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 10*v + 12. Is (36\/(-8) - v) + 861\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 + 676. Let r be a(-13). Suppose -3*s + 5*s - 4 = 0. Solve 3*m - 5*f + 2*f + 9 = r, -m = s*f - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - a = -5, 707*b + 30 = 712*b - a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/9 and (-10)\/4*188\/75?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let w(b) = -b + 3. Let p(s) = -3*s + 5. Let c(q) = 2*p(q) - 5*w(q). Let l be c(-6). What is the lowest common multiple of o(l) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.031 + -0.431. Which is the nearest to 5? (a) -2\/13 (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-13 - 1*(-7327)\/238)\/(3*-4) and 9\/1024.\nAnswer: 7168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 3065868?\nAnswer: 12263472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -4\/11, -13.1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/((-1904)\/(-952))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12405\/17 - 730. Let k = v - 2\/51. Which is the third biggest value? (a) -0.2 (b) -0.02 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d\/((d*d*(d**24\/d)\/d*d)\/d)))\/d)**(-15))**(-36) assuming d is positive.\nAnswer: d**12960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p = 1320, -267 - 106 = f - 5*p - 96 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21920\/144 + (-2)\/9. Let h = p + -154. Put 0, h, -3, -1 in descending order.\nAnswer: 0, -1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -3\/7 (c) -6 (d) -4\/11 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -5*sqrt(108) - (sqrt(108) - sqrt(108)*-5)*-5)*6.\nAnswer: -5400*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 759 + -165. Let s be h\/24 + 2\/8. Let j = s + -15. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 + 5. Let f be l(4). Let v = f - 21. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11305, -4 in descending order.\nAnswer: 11305, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.006 in 0.04, 0.03, 1, 74?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12079, 11859, 11701, 11605, 11571?\nAnswer: 11599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119800 and 35800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -2) + 19 + -12. Suppose 123690 = -11*l - f*l. What is l rounded to the nearest one hundred?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4 - 6 + v - 2*v + 2*v. Let c be n(4). Suppose -17 = -3*g + c*q + 11, -5*g + 2*q = -40. What is the least common multiple of g and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -28. What is the third derivative of 5*x**3 + m*x - 25*x + 3*x**3 + 8*x**2 wrt x?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223825226.\nAnswer: 2, 61, 367, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 4*t**2 - t**2)*(2 - 5 + 2 - t**3).\nAnswer: -t**5 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b - 2*b + 0*b)*(b**2 - b**2 + b**2) - 55*b**2 + 55*b**2 - 56*b**3)*(1 + 2 - 2)*(-4*b + 2*b + b).\nAnswer: 55*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8870 < 8909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12236850 divided by 34470\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/(4815\/(-1712))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545158744 to the nearest integer?\nAnswer: 23349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.783 - -0.147. Let j = -0.07 - f. Put 3, j, -2 in ascending order.\nAnswer: -2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47\/15 + 1487\/465. Which is the closest to 1? (a) p (b) -3\/4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197 - -201. Suppose -3*m = 3*y - 18, 0 = -m - t*y - 3 - 3. Solve 6 = -4*f + m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000169229 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25007, -49229, -73451, -97673, -121895, -146117?\nAnswer: -170339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15595096 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -726*v + 726*v + 290*v**5 + (v - v + v**2)*(v**3 + 0*v**3 + v**3).\nAnswer: 292*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/((-9)\/(-24)). Suppose l = 2*z - 0*z. Find the first derivative of 2 + 0 - z*b**4 - 4 wrt b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*h + 103*h = 1660. Calculate the remainder when h is divided by 120.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194.79 - -196. Let i = 2.41 - y. What is the second smallest value in i, -1\/6, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6014091*i + 24*i**2 - 6014091*i. Let s(q) = -395*q**2. Calculate s(m(d)).\nAnswer: -227520*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*m**2 - 61*m + 99*m**2 + 47*m + 105*m**2.\nAnswer: m**2 - 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -143. Let r = d - -81. Suppose r = -3*l + 289 + 3368. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 + (1 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*y - 1275 + 535 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/19) + 3*1. Suppose 4 - i = -2*c. What is the common denominator of c\/6 + (-605)\/80 and 95\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 9*p - 7. Let y = -8 - 0. Let f be j(y). Does 11 divide (6\/2 + 8)*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689*o - 1754*o + 18852*o.\nAnswer: 17787*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5796)\/(-69))\/((-9)\/27*-1*3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*y = 6, 6*s + y + 2 = 2*s. What is the third smallest value in 0.09, 2, -0.3, s?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 + 0.02. Let s = 165 - 160. Sort -4, s, z.\nAnswer: -4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 118713453*w**2 + 732621526?\nAnswer: 237426906*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*z = 13*z + 44754879. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 562 + 139. Calculate the highest common divisor of 799 and j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.361947971 + 0.36193. Round w to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18900, 37803, 56706, 75609, 94512?\nAnswer: 113415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let y = 19.1 - 19. Put -4, l, y in increasing order.\nAnswer: -4, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 11*v - 18. Let a be g(9). Solve -3*q + 3*j - 6 = -3, 4*q + 5*j + 13 = a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/p)**(-33)*(p*p**(-2\/5))\/(((p\/p**15)\/p)\/p) assuming p is positive.\nAnswer: p**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3 - 219390*h**2 + 4015819899*h - 176271592068 = 0. Calculate h.\nAnswer: 44, 36543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 396?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -5 + 5 - (9 + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 126, -2\/19 in decreasing order.\nAnswer: 126, 32, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 416 = -25*n. Solve b + n*m = 12*m - 8, 3*m - 6 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3.8. Let d = -1.97 + -0.03. Let y = d + 1.7. What is the smallest value in m, y, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -5*u + 1, -2*f + u - 7 = 0. Let q = 1 - f. Solve 16 = -q*v, -m - 3*m - 20 = 3*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -17*x**2 - 13*x + 5. Let n(j) = 8*j**2 + 7*j - 3. Let g(z) = -2*d(z) - 5*n(z). Let q be g(-9). Round q to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 14. Let u be w(18). Suppose 25 = 5*x, -4*o + 102504 - 32448 = -u*x. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 7*c**2 + 4*c + 4. Let h(v) = -14*v**2 - 182*v + 6. Let x be h(-13). Determine y(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*b**5 - 41*b - 3 wrt b?\nAnswer: 2920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 596297.1 centuries to decades.\nAnswer: 5962971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/3 + 103230671*j**2 + 7992428627948016*j + 23977285574152036\/3 = 0 for j.\nAnswer: -154846006, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43111020 + -3?\nAnswer: 43111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let j(a) = 17915785*a. Calculate j(q(u)).\nAnswer: 17915785*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -189a (base 11) to base 12\nAnswer: -1488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27974538 is divided by 5594877.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a day in minutes?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183202599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2411.029 - -2408. Let k = b - -0.029. Let n = -1.64 - -2.64. What is the nearest to k in 3, 1\/13, n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/132 + 45\/(-132))*-143404.\nAnswer: 35851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17031, -68666, -154895, -275712, -431111, -621086?\nAnswer: -845631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 1 - 5 + 1)*(1711 + 6983 + 1921) as j*q + g and give j.\nAnswer: 10615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/7 + 4\/(-7). Suppose n + 1 = 3*r - 6, 15 = k*r. Solve 2 + 6 = n*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -318*b**3 + 4*b**2 - 10*b - 6. Let f be s(-7). Let x = -43334 + f. What is x rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 8143842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -33.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3014*k + 448420. What is h(-149)?\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3\/5 + 38*v**2\/5 + 184*v\/5 = 0?\nAnswer: -4, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 329\/3096 - 11\/72. Let y = 3338483\/129 + -25879. Let g = y + c. What is the smallest value in 0.4, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 41 + -19 + -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Let v be 160\/(-24) + (-2)\/6. Put -5, q, v in increasing order.\nAnswer: v, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 43 = -13. Let w be n\/(-2) - (-1 - -5). Let x(s) = -s**3 + 3*s**2 + 4*s + 4. Let u be x(4). Solve u*q - 11 + w = -2*a, 2*q - 11 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 10:22 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 852516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -10, 2, 2750 in ascending order.\nAnswer: -54, -10, 2, 2750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*f + 33, -5*r = -5*f + 74 + 26. What is the remainder when 34 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -15. Solve -1 = -q - o*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18491.08m in micrometers?\nAnswer: 18491080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-7)\/42*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 840?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21263 is divided by 10415?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621 = 3*z - 3*k, 4*k + 302 = 5*z - 731. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 1\/8, 0.4.\nAnswer: -1.3, 1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40936 divided by 14.\nAnswer: -2924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 626510447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 668294 and 3159208.\nAnswer: 34751288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5959?\nAnswer: 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.064756 rounded to 3 dps?\nAnswer: -1.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/14544 and -179\/5254020.\nAnswer: 21016080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 8*s**2 + 21*s - 4. Let l be 8 + 4\/8*(-1 + -1). What are the prime factors of a(l)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 46.1. Let z = -0.1 - f. Suppose n + 2*n = 6. What is the closest to n in -0.1, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 264*h + 3571. What is v(-13)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1391 = 6*o - 4*t, 4*o - t - 1872 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -4*i**3\/3 - 3*i**2\/2 - 3*i. Find the first derivative of t(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 23*z - 41*z + 16*z. Let j(y) = 16*y**2. Calculate j(v(r)).\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-50) - 17738\/176400 and 6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5545*d**2 - 225736*d**2 + 3*d - 3*d.\nAnswer: -231281*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202404 and 8202.\nAnswer: 276686268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + (sqrt(2299) - (sqrt(2299) + -1)) + sqrt(2299)) - -5*-4*(-1 + sqrt(2299)))**2.\nAnswer: -10450*sqrt(19) + 830564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984 at most 3966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 36636*m - 74221400.\nAnswer: -4*(m - 6134)*(m - 3025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 1. Let p(s) = 12*s - 4. Give -3*d(c) + p(c).\nAnswer: 9*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssmv. Give prob of picking 1 v, 1 m, and 2 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -22. Let d = 57 + r. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - 5. Let z = j - -49. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r + 9. Sort -5, 5, r in increasing order.\nAnswer: r, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223368, -223332, -223296, -223260, -223224, -223188?\nAnswer: -223152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 11*b - 10. Determine c(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**8\/1680 - o**7\/360 + o**6\/360 + o**5\/120 - o**4\/8 - 5*o**2. Let n(l) be the second derivative of f(l). Factor n(s).\nAnswer: (s - 1)**2*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 42 = -r, 3*u - 3*r + 8*r = -40. Let l be (2\/u)\/((-12)\/(-10)). Let v = -2\/5 + -4\/15. What is the second biggest value in l, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 7 = -2*r. Let i = r - -46. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (35\/(-14))\/((-2)\/4). Let c = 32 + -29. Which is greater: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*((n\/n**(3\/2))\/n)\/n)*n)**3 assuming n is positive.\nAnswer: n**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*t + 387 = 142*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36313 - 2577*i + 36313 to the form f + z*i and give z.\nAnswer: -2577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.04 - 0.04. Let p = -6.3 - -1.5. Let d = k + p. Sort 4, d, -0.4 in increasing order.\nAnswer: -0.4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, v: 2}. What is prob of picking 4 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 24\/41, 2?\nAnswer: 24\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {c: 4, j: 1, x: 1, y: 1, h: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1798\/3)\/(12\/36). What is the greatest common divisor of 62 and b?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3))**(-1\/11))**(2\/49)*(i\/i**(1\/2))**(19\/3)*i**(1\/3)\/(i\/(i**2*i)) assuming i is positive.\nAnswer: i**(17791\/3234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3002*c + 386. What is the ten thousands digit of n(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10141 is divided by 3368?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 20*m**2 + 2*m - 953. Give q(-18).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/15)\/((-1)\/(-5)). Let a be (-4 + 8)\/(q\/2). Sort -3, 4, a.\nAnswer: a, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 16*z - 29*r, 10*z + r - 2*r + 36 = 14*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187859755?\nAnswer: 5, 37571951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 = -92. Suppose 2*k + 5*a = -25, k + 2*k = a + 5. Suppose k = -c - 9 + 12. Solve -m = c, -d = -2*d + 5*m + p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*o + 3. Suppose -2 = -4*j + 3*c, -o*j + 4 = -5*c - 3. Let f be ((-4)\/j)\/4 + 3. Solve -4*y - y - k - 25 = 0, y + f*k + 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p - 13*p - p**2 - 11*p**3 - 16*p - 10*p - 13*p.\nAnswer: -11*p**3 - p**2 - 30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -352416473.60000082 + 352416401.6. Let a = 72 + f. Round a to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h + h**2 + 84 - 20*h + 40*h - 13. Let u be z(-34). Solve -o + 5 = 5*x + 2*o, u*o = 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmn when three letters picked without replacement from {m: 1, n: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4579 + -2.457900936. Round y to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + (-54 - -66) - (1 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 905815 to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13540224.6 minutes in weeks?\nAnswer: 1343.27625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -822 - -821.9123. Let n = 240.0123 - j. Round n to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5453 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 16783764.\nAnswer: 100702584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2 - 18860*j + 17784980 = 0. Calculate j.\nAnswer: 1886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssss. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104)*3 - -6*sqrt(104)*-2)\/((-3*sqrt(80)*2)\/(sqrt(10)*2*3 - sqrt(10))).\nAnswer: 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -108\/7 (c) -62 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 439*v + 5. Give n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 10 (c) -47\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 4:38 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (49 + (14 - 53)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 7. Let s be n(4). Solve -16*r - s = -17*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18030*f**4 + 90*f**2 + 23 wrt f?\nAnswer: 432720*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*u**2*x**3*z + 30*u**2*x*z + 11*u**2*x + 6*u*x - x**3 with respect to z.\nAnswer: 8*u**2*x**3 + 30*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 - (0 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1241693 - 1241693 - 30373*f)*(2*f + 0 + 0 + (2 + 0 + 0)*(2*f - 3*f + 3*f) - 2*f + 4 - 2*f - 6) as m*f + o*f**2 + x and give m.\nAnswer: 60746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(119) + sqrt(119))\/(sqrt(1764)\/sqrt(7) - sqrt(7)) + (sqrt(119) - -1*sqrt(119)*5)\/(sqrt(49)\/sqrt(7)*-6))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*x**3 - x**2 - 5*x - 23 wrt x.\nAnswer: -162*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -482830456687 and 0.5.\nAnswer: -482830456686.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 3. What is the derivative of -2 + j - 2*x**3 + 6*x**3 wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 56*h - 499. Let v be n(9). Solve -2*p = 0, 3*s + 6*p = v*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*v - 23. Let j(n) = n**3 + 4*n**2 + 2. Let s be j(v). Solve -d = w - 8, -4*w + 0*d + s*d = -2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112352 divided by -4.\nAnswer: -28088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + ((-51 - -37) + (-3 - -17) - -11)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 696210*r**3*s**3 - 17*r**3*s + 3*r**2*s**3 + 2*r**2*s - r*s**3 + r*s - 2841*s**2 wrt r?\nAnswer: 4177260*s**3 - 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**5 - j**5 - 3*j**5 + (4*j**4 + 0*j**4 - 3*j**4)*(5*j - 2*j - j) + 6*j**5 - 3*j**5 - j**5 - 9*j - 4*j**5 + 9*j - 1.\nAnswer: j**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18781 and -1581?\nAnswer: 20362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 3. Let c = -1 - 4. Let k = -6 + c. Let z = k + 8. Give w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 4*j**3\/3 + 2*j**2 + 3. Determine a so that q(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -7 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.7 * -67520.\nAnswer: 857504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1612, -313, 3912, 11069, 21164?\n\"Answer: i**3 + 1457*i**2 - 3079*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ggckgkkcgggccgkc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 + 2 - 8)*(-2 - 17*b + 55*b + 62*b - 21*b) in the form k*b + g and give g.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*s + 2641*s - 44248 = 79654 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 15. Let o be c(17). Suppose 5*z - 4*d = -6 - 10, -4*z = -o*d + 8. Suppose -6*r = -z - 36. Let y(i) = 2*i. Let w(j) = -4*j. Give r*w(a) + 14*y(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1768.21915 + 1768. Round a to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*d + 35680 = 4*o + 166*d, -5*d + 44585 = 5*o. What are the prime factors of o?\nAnswer: 11, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 4*h**2 - 26934*h + 161530. Give p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = w, -5*g - 3 = 5*w + 12. Suppose -c = -3*c - 4*z + 52, c + 4*z - 36 = 0. Let t be 2\/7 + c\/7. Is g not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*k + 15*k + 4 + 0*k + 18*k**2.\nAnswer: 2*(k + 1)*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 7, s: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 7*u**2 + u - 7. Let f be z(7). Suppose f = -m - 20 + 24. Suppose 2 + 14 = m*t. Solve 0 = -t*h + 5 + 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 8 + (-19 - 10) + 9?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 5 - 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.71 - -3.66. Which is the nearest to x? (a) 2 (b) -2\/11 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21986574 to the nearest integer?\nAnswer: 4689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122 in -4, -8\/5, -2\/13, -7.2, 2\/13?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0*v**3 + 0 - 1\/3*v**5 + 0*v - 2\/3*v**4 + 18*v**2 - 1\/30*v**6. Factor k(d).\nAnswer: -4*d*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -34 - 6. Solve 4*m = c + 1 + 11, 4*c = -m + r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, -9, -35, -71, -117, -173?\n\"Answer: -5*t**2 - t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m**2 + m**2 + 3*m**2)*(1 + 1 - 5) - 199*m**2 - 227*m**2 + 435*m**2 + 77 as j*m**2 + f + k*m and give f.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-196)*-7)\/(55\/(-22)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42a - 44a1b?\nAnswer: -45249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/17682445?\nAnswer: 2\/17682445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*o**3*s**2 - 568*g*o**3*y**2 - 7*g*s*y - o**3*s - 29248*o**2*s**2*y**2 + o**2*s*y**2 wrt s.\nAnswer: -4*g*o**3 - 58496*o**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17, 37, -77, -13, 1, -5 in ascending order.\nAnswer: -77, -13, -5, -4, 1, 17, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from opoidpgogooooooooooo?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/5, 407, 21621?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 317*v + 968. Calculate h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 8:16 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*l - 172*l + 1 = b, 3*l = -3*b + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 5)*2\/3. Let t(u) = 0*u + u**2 - 3*u + u - 3. What is the units digit of t(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4382933 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -45843 divided by 21\nAnswer: -2183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/300 + c**4\/40 + c**3\/3 + c**2 - 80*c. Find o, given that w(o) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13700 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -225 - -207 - (-1 - 13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130933618 and 12836.\nAnswer: 6418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.37 + 0.07. Let v = -5.17 + 1.17. Let x = 87.8 + -88. What is the closest to -1 in v, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -1\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 9.2. Let h = -9 + v. Let f = 58 + -410\/7. Which is the smallest value? (a) -4 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1493162 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-29))\/((a\/((a\/(a\/a**(-21)))\/a))\/a) assuming a is positive.\nAnswer: a**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 1954629.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178 (base 11) to base 15.\nAnswer: -db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1721 and 264481559.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(54\/90)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2863103?\nAnswer: 109, 26267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5416.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -343.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201 - -203. Suppose -4*q + u*b = -143530, -4*b + 127837 = 5*q - 51608. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 4}. Give prob of picking 2 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 23 + -23 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.46, 1\/6, 3, 65, -112, 2\/5.\nAnswer: -112, 1\/6, 2\/5, 0.46, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34280 and 704.\nAnswer: 3016640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/14 + -5)\/((-2)\/(-6)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*v + 2*v + 14, 4*v + 52 = 5*h. Let r = 13 + -11. Calculate the least common multiple of (-256)\/(-48)*27\/r and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 10*b - 3. Suppose 5*r + 0*r + 15 = 0. Calculate the remainder when 59 + -1*(r - 0) is divided by a(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/26664 and -97\/693264?\nAnswer: 693264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 855 and 969.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -19*g**4 - 7*g**3 + 16*g. Let z(c) = 5*c**3 - 1 - 11*c + 1 + 13*c**4. Let n(u) = 5*v(u) + 7*z(u). Find the second derivative of n(a) wrt a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**4\/8 + 45*r**2 + 3*r. Let l(q) = 141*q**2. What is m(l(w))?\nAnswer: 423*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2773, -8561, -17373, -29209?\n\"Answer: -1512*z**2 - 1252*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1566*l**2 - 1305. Let n(m) = -2*m**2 + 1. Let p(h) = -3915*n(h) - 3*r(h). Let u(c) = -2*c. Determine p(u(v)).\nAnswer: 12528*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7385618 to the nearest integer?\nAnswer: 2718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 2*n**2 + 1. Let x be 2 - (4 - (3 - 2)). Let h be i(x). Let z be -2*2\/4*-1. Sort h, -3, z in descending order.\nAnswer: z, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - -0.36. Let d = 21.00504 + 0.99496. What is the fourth biggest value in t, -1\/2, 5, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5239 is divided by 1719.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 = 12*s - 9198. What are the prime factors of s?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 12) to base 3\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.016 and 133417.\nAnswer: -2134.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125 + 303?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 56.3 - -1.56701\nAnswer: 57.86701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3\/4 + 274155*d**2\/4 - 6024150*d + 132478060 = 0. What is d?\nAnswer: 44, 54743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c + d, -3*c + 7 + 4 = -2*d. Let x be ((-6)\/(-18))\/(2\/24). Suppose 0 = 3*w + 1 - x. What is the closest to w in c, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - 218 + 0 + 3*d**2.\nAnswer: 3*d**2 - 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 13*k - 6. Let u(j) = 2*j**2 + 13*j + 7. Determine -5*m(s) - 4*u(s).\nAnswer: -3*s**2 + 13*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:35 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 481.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374*v + 379*v - 95000 = 0. What is v rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -881533*n**6 - n**5 - 801*n**2 + 80*n?\nAnswer: -105783960*n**3 - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5534 + -5?\nAnswer: -1.4466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 9*w. Let f be c(9). Suppose 4*i - 20 = -4*m, 2 = 4*m - 3*i - 4. Suppose k - 83 = 4*r, -2*r + 319 = m*k - f*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(56)\/sqrt(7) + sqrt(8)) - (sqrt(18)\/sqrt(108) + sqrt(6)))\/(1*sqrt(15)\/(sqrt(405) - sqrt(405)*-1 - sqrt(5))).\nAnswer: -34*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 3493*n\/2.\nAnswer: -n*(n - 6986)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.23 + -12.77. Let m = -12.9999972 - a. Round m to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 15*p**4\/2 + p**3\/6 + 5*p**2 - p + 17. Find the second derivative of o(g) wrt g.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*f + 134*f - 206 = 3*y, -7*f + y + 352 = 0 for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6788, 6422, 5812, 4958, 3860?\n\"Answer: -122*m**2 + 6910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6392.443 nanograms?\nAnswer: 0.000000000006392443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38161.\nAnswer: 31, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**3 + 8*p**3 - 18*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-1)\/(132\/(-130)). Let s = i - -83\/33. Let x = -898\/99 - -80\/9. What is the closest to 1 in 0, x, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -242, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*l**4*z**2 + 12*l**3*z**3 - 78*l**2*z**2 + l*z**3 wrt l.\nAnswer: 168*l*z**2 + 72*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11465103*n**2 + 17941829*n wrt n.\nAnswer: -22930206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 12\/(-2 + 5). Let p be ((-2)\/c)\/(2\/(-4)). Let g = p + 3. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*f - 20 + 90 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 2590 = -2545. Let n(u) = -5*u + 2. Let c be n(-6). Suppose -z*i + c = -28. Calculate the lowest common multiple of i and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 7, -12, -104 in descending order.\nAnswer: 33, 7, -12, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 294 + 192 = 0. Is (-8)\/6*j\/12 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 1597 = 1648. Solve -1\/10*k**5 + 6859*k**2 - 361*k**w - 130321\/2*k + 2476099\/10 + 19\/2*k**4 = 0 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 8:15 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 b, and 1 e when four letters picked without replacement from {b: 2, k: 2, e: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -418978, -840253, -1261528, -1682803, -2104078?\n\"Answer: -421275*d + 2297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158 - 164*b - 78 - 82 + (-3*b + b + 4*b)*(-4 + 4 - 1) to the form p + j*b and give j.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 11:33 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-110))\/((-2)\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3604428ml to litres.\nAnswer: 0.0003604428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 13*g. Let u(m) = -2*m + 9. Let p(q) = q - 4. Let v(n) = 9*p(n) + 4*u(n). Calculate d(v(i)).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61)\/(((-6)\/8)\/((-14)\/12*(-1764)\/2744))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8296, -2\/24921, 4?\nAnswer: 8296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + ((sqrt(5103)*1 + sqrt(5103))*-4)**2.\nAnswer: 326595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from clcdledccd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**3 - 5*h + 4. Suppose -2*b - 3 = -g, 0 = 2*g + 18 - 8. Let q be p(b). Let x = -95 - q. List the prime factors of x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 286386, 286173, 285824, 285345, 284742, 284021?\n\"Answer: d**3 - 74*d**2 + 2*d + 286457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 1. Let u(v) = -v**2 + 3*v + 7. Suppose 0 = 5*r + 2*o + 15, -2*r - 4*o - 18 = -4*r. Determine r*u(t) + 3*c(t).\nAnswer: t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = j - 3*o + 17, -3*o - 12 = 0. Which is the nearest to -0.2? (a) j (b) -2 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + z - 133782 = 0, -5*u + 131919 = 5*z - 35316. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -38.3. Let l = 61214.1 + -61208.799946. Let n = l + g. What is n rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21430897 or -21430863?\nAnswer: -21430897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or 3\/469?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -146, -5 in increasing order.\nAnswer: -146, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, y: 2}. Give prob of sequence yy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486832356?\nAnswer: 2, 3, 1502569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -7 - -16 - ((13 - (4 + 1)) + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + g. Let o(p) = -5*p**2 + 8*p. Suppose b = -5*r - 6, -5*r - 4*b - 8 = -r. Let l(j) = r*o(j) + 6*m(j). Factor l(c).\nAnswer: -c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635175 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22764485 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3*w**4 - 1987*l**3 + 244*l*w**4 with respect to w.\nAnswer: 12*l**3*w**3 + 976*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 9*u**2 - 40*u - 57. Does 95 divide i(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7353, 7842, 23037, 38232, 53427, 68622?\n\"Answer: 15195*w - 22548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.01 - 0.01. Let t = b + -3. Let z = -0.999999 - t. What is z rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 + 92 = 33*p - 98 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(2 + 80*g - 172*g - 2).\nAnswer: 92*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*y - 17249 = -2189*y + 102757 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k**2. Let s(r) = -5*r + r + 0*r + 2*r. Calculate s(n(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 5*g + 2. Let h(l) = -l - 1. Let p(r) = -1. Let b(i) = h(i) - p(i). Suppose 3*k + 7 = -5. Let q(y) = k*b(y) - m(y). Factor q(u).\nAnswer: (u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 582\/(-679)*1*7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 + -2.3. Is h greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Let u be 1\/((-63)\/15 + 4) - (-255)\/45. What is the biggest value in 10\/9, 1\/11, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 1617.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*z + 15, -4*z + 0 - 5 = -b. Suppose -5*i - 5 = 5*f, -2 = b*i - f + 3*f. Put -3, i, 5 in ascending order.\nAnswer: -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 6604.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.63448s to microseconds.\nAnswer: 73634480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(76)*-2*2 + sqrt(76) + -1)**2*-5.\nAnswer: -3440 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) + -2*sqrt(88) - sqrt(88))*-6)\/(sqrt(16)\/sqrt(8)) + -4.\nAnswer: -4 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -4.4504407.\nAnswer: 4.4504407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 357947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3, -14, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 14813 = 469. Suppose b - 242 = -3*x + f, -3301 = -3*b + 5*x. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16100332 from -0.0195.\nAnswer: 16100331.9805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171325 by -24475.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 966.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from ffjhbqqhjhvfvvbv?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**3 - 28*f + 80283*f**2 + 15*f - 4 - 19 - 80285*f**2 in the form n + l*f + t*f**2 + c*f**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - y + 1. Suppose 76 = -3*j + 10. Let x = 13 + j. Let i(h) = -8*h**2 - 4*h + 5. Give x*s(w) + 2*i(w).\nAnswer: 2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3160724 to the power of 1\/2, to the nearest integer?\nAnswer: 1778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t - 62*t + 6840 = 0. Is 38 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10293 + -6651. Suppose 5*t + 4*u - 3894 = 648, -4*t + u + f = 0. What is t rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33135 (base 8) to base 5\nAnswer: 421132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 - -87. Suppose -5*k + o*k + 14511 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3948025 divided by 45?\nAnswer: -789605\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 126*l**3 - 28*l**2 - 28. Let i(w) = -14*w**3 + 3*w**2 + 3. Let r = -870 + 842. Calculate r*i(c) - 3*s(c).\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 5*i - 6. Suppose 4*g = 2*g + 8. Suppose g*w - 20 = 0, -a - w - 19 = -5*w. Let s = -7 + a. Determine h(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70049947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 9. Give a(13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + -2.24. Let m = g + 2.219639. Round m to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -51*c**6\/40 - 134*c**3\/3 - 42*c**2 - 76*c. Let a(w) be the first derivative of t(w). Differentiate a(p) wrt p.\nAnswer: -459*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1500*t. Let s be y(3). Round s to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 44 = 5*r. Let q = -4 - r. Solve q*s + 2*u + 6 = 0, -7 + 0 = 5*s + u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + r**2 + 5*r**2 + r + 2*r + 3*r - 34 as z*r + o + s*r**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/6 and -13\/207?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 3 = -18*m, -3*u + 7 = -m. Let a(s) = 4*s + 4. Let c be a(5). Solve -u*k = -4*p - 10, 4*k + c = -4*p + p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159657.\nAnswer: 3, 19, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i. Let y(m) = 3*m**3 - 2*m**2 + 1. Let l be y(1). Let d(f) = 2*f**l + 292 - 292. Determine d(z(v)).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k - 3. Let s(v) be the second derivative of v**4\/12 - v**3 - 3*v**2 - 17*v - 3. Let q(t) = -t - 1. Let o(x) = -6*q(x) + s(x). Give o(g(h)).\nAnswer: 81*h**2 + 54*h + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 2*p + 214. Let g(v) = -2*v. Give g(y(j)).\nAnswer: 4*j**2 - 4*j - 428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15188 - 1382 = -2*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and ((-180)\/(-42))\/(15\/70)?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*m = 24*m - 22*m + 116 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76409 is divided by 484?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(153) + sqrt(153) + 1*sqrt(153))\/sqrt(9).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 209, 1, -113?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/13*1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o - 5*o)*(0 + 0 + 2) + 6 - 5*o - 6.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q + 24*q + 19*q + q**2 + 44 - 66*q.\nAnswer: q**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.032 in -2\/3, 0.2, -15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.05266.\nAnswer: 0.15798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 2. Let d be c(3). Let a(g) = -g**3 - 6*g**2 - 5*g + 5. What is a(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v**2. Let b(t) = -1176*t**2 + 1175*t**2 + 4*t - 4*t. Determine b(p(y)).\nAnswer: -169*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 6*p**2 - 13*p - 11. Calculate c(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25.7+1122143\nAnswer: 1122117.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:13 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k**2 - 43*k - 312. What is b(-6)?\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + v**3 - 6*v + 2*v - 7 to the form t + f*v + u*v**3 + q*v**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - q. Let z(j) = 10*j**3 + 6*j**2 + 6*j - 44. Let m(f) = 6*t(f) + z(f). Find the first derivative of m(x) wrt x.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7272.17 to the nearest 100.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(768) + sqrt(768)*1)*-4)\/(1*sqrt(486) + sqrt(216)*-1))**2 + -4.\nAnswer: 8156\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-1 - -6 - (-20 + 21 + 6 - -4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-20))\/((21\/90)\/7*-2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 688 - 640. Let f be (-16)\/40 + y\/20. Solve -3*x - f = -5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 20, -13, 10\/11, 0, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.124 * -59.\nAnswer: -7.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (101\/12 + -1)\/30. Let l = 1\/40 - y. What is the common denominator of l and 2 + (-5)\/((-50)\/(-32))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206 is divided by 181?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 661*o**4 + 1026*o wrt o.\nAnswer: 7932*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(468) + -1 + sqrt(468) + sqrt(468))**2 - sqrt(468))*-6)*2 + -2.\nAnswer: -50556 + 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 490 + 64 = 0. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 - 36*h**2\/5 - 174*h\/5 - 44.\nAnswer: -2*(h + 2)*(h + 5)*(h + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5))**(-22))**(-1\/6)*(k*k\/k**(-2\/13)*k)\/k**(-2\/7)*k**4*k*k**(-2\/17) assuming k is positive.\nAnswer: k**(227144\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2952 = 3*x + x. Suppose 2*h - x = -h. Suppose -72 = 4*i - 2*r - h, -5*i - 5*r + 225 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 - 10*s**3 - 5*s**2 + 10*s**3 + 17*s**3 as f*s + u + v*s**2 + p*s**3 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -16?\nAnswer: -49\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, a: 2, w: 2, o: 8}. Give prob of sequence uwua.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.4, -5, 0.1803, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -3, 5, 1, 9829 in increasing order.\nAnswer: -7, -5, -3, 1, 5, 9829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60246 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.181441 litres in millilitres?\nAnswer: 2181.441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**16))\/b**(6\/7))\/((b*b**(-2)*b)\/b)**(3\/4))**27 assuming b is positive.\nAnswer: b**(-12177\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 4654 - 4592. Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*s - 203, -5*n + 2*s + 82 + 247 = 0. Find the third derivative of -2*o**3 - n*o**2 + 7*o**3 - o**3 - 5*o**3 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 132\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 8*o + 23 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 22 + -10 + -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*a**4 + 119*a - 59*a - 62*a + (2*a - 2*a - a**2)*(0*a**2 + 2*a**2 + 0*a**2) - 2*a**4 + 3*a**4 + 0*a**4 - 11*a**2 - 4*a - a**4 + 11*a**2.\nAnswer: -53*a**4 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**4\/24 + d**3 + 9*d**2 + 12*d. Let p(u) be the first derivative of q(u). Suppose 16*c = 46 - 174. What is p(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/156 and 83\/176856.\nAnswer: 2299128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4.5. Let i = 94 + -93. Which is the smallest value? (a) -0.02 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/87 + (-28)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 0 + 0*d + 1\/240*d**5 + 7\/48*d**4 + 49\/24*d**3 + 9*d**2. Suppose m(a) = 0. Calculate a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*u + 9. Let m be (-44)\/u - (-2)\/(-6). Let r = -1 - -3. Solve -r*q + m = -1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9 - 13)*(2*g - g - 2*g).\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -t - 3*l + 17, 3*t = 5*l + 31. Suppose -9*y + t = -6*y. Suppose 4*v + 12 = y*d, -2*d - v + 24 = 9. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 3169730?\nAnswer: -3169726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 3 - (10 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnknnngkkgnxknknn. Give prob of picking 3 k and 1 g.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-13)\/((-1859)\/(-99)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9\/52 + -5\/572. Let t be (1 - 0)\/1 + 1. Suppose -2*j = -0*j - t. Sort g, 0, j in ascending order.\nAnswer: g, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 0, -k - k - 2*n = -92. Which is smaller: k or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3514\/1795 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 1 m when three letters picked without replacement from miiatm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 10:22 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, a: 2, r: 8, i: 1}. Give prob of picking 1 a, 1 i, and 1 l.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 78\/195*90\/(-63)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 1992, 4407, 7768, 12075?\nAnswer: 17328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29958?\nAnswer: 2, 3, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/((-384)\/(-18)) - 0. Suppose 2 = 2*j, -2*i - j - 5 = i. What is the closest to 1\/2 in w, 1, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/51507 and -70\/81189.\nAnswer: 4790151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 + 11*j**2 + j - 95. Determine z(3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1768 from -2251752.8.\nAnswer: -2249984.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = k + 129, -3*k + k - 172 = -4*f. Let s = -43 + f. Put 3, s, 13 in ascending order.\nAnswer: s, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3538*h + 161645 - 161645)*(-h - h - h)*(-4 + 4 + 1) to the form o*h + i + c*h**2 and give c.\nAnswer: -10614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3437783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-35)\/(-10) - 4)*0)\/1. Solve r = -3*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105752 (base 9) to base 14\nAnswer: -19100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 5*h**2 + 4*h. Let w be x(-4). Suppose -2*b - 4*s = s, 4*b + 2*s = w. Solve -z - 3*z + 16 = b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 311*u**4 + 8*u + u**3 + 2*u - 292*u**4 + 18*u + 4*u to the form k*u**4 + x*u**3 + p*u**2 + l*u + g and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(2 + 6\/((-72)\/(-87))). Differentiate 4*y**3 + 62 + a + 4*y**3 + 5*y**3 with respect to y.\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) - (-10)\/4. Let l be 66\/(-6)*8\/(-22). Suppose 3*o - l = 4*o + 4*s, -37 = -2*o + s. Calculate the greatest common factor of t and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 7*v - 2. Let p = 67 + -113. Suppose 3*l - 55 - 99 = m, -2*m - 43 = -l. Let i = l + p. What is w(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -336 + 249*c**2 + 240*c**2 - 728*c**2 - 5*c + 258*c**2 wrt c.\nAnswer: 38*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h - 670 - 781 = -75 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 - (-16 - -18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i - 29*i - 65*i + 5*i)*(-5 + 1 - 2)*(-2 + 0 + 3).\nAnswer: 594*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 10, 0*r + 3*h + 272 = -r. Let z = r - -545. What are the prime factors of z?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + c**2 + 3*c**2 + (-153 + 22 - 44)*(1 + 3 - 2)*(3 + 2 - 2)*(-3*c**2 + 4*c**2 + c**2).\nAnswer: -2098*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.872 + -45.128. What is the closest to 23 in -5, 3\/7, f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2 - 9 + 11 + 11*k**2. Let w(j) = j + 2. Let g(s) = 4*s + 10. Let p(y) = g(y) - 5*w(y). Calculate n(p(o)).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-55) + -2 + 18\/15. List the prime factors of -6*(-14)\/42 - 47*r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3569 - 149827\/42. Find the common denominator of v and (-201)\/10 + (-9)\/(-15).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 80645496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-3)*(-2)\/18. Let j = -1\/3 - y. Let t(c) = 4*c + 14. Let d be t(-3). What is the second biggest value in d, j, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1599 and 7761.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3\/11 + 1789892*j**2\/11 - 17899120*j\/11 = 0.\nAnswer: -894956, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 7*o. Let s be g(5). Let u be (1*s)\/3 + 0. Suppose 3*i - 4*q = -5, i = -2*q + u*q. Put -1\/10, -4, i in decreasing order.\nAnswer: -1\/10, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 - (-14 - -17) - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.8 - 11. Let r = -14 - -13.9. Let j = -0.9 - 0.1. Which is the closest to r? (a) j (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/9 + 2*k**3\/9 - 20*k**2\/9 - 8*k\/9 + 16\/3.\nAnswer: 2*(k - 2)**2*(k + 2)*(k + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(1815)*-1)\/sqrt(5).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 25. Let p = -16 + 4. Let a be w(p). What is the first derivative of -2*f - 5*f + a*f - 5 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Let s(j) = 4*j + j**2 - d*j + j. Let u(y) = y - 4. Let f(h) = 2*h - 11. Let i(z) = -4*f(z) + 11*u(z). Determine i(s(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 982 - 982. Solve -3*r + 2*l = -14, c*r - 11 = -4*r - 5*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1750 and 673330.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -164, -340, -576, -866, -1204, -1584, -2000?\nAnswer: -2446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 43*n**5\/20 - 9*n**3 + n**2 + 2*n + 3. What is the second derivative of h(z) wrt z?\nAnswer: 258*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 92 - 92.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 1389*p**5\/10 - 3*p**3\/2 - 3*p**2 + 10*p. Let c be o(-6). Round c to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/4)*d)\/(d\/(d\/(d*d**(-4))))*d**(-5)\/(d\/(d*d**5\/d)) assuming d is positive.\nAnswer: d**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 831 + 321. Let k = i - 686. Suppose 2*b = -2*a + 226, 2*b + 3*a + k = 6*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119445978 and 510.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*a - 20 = 154*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((-125)\/(-20) + -3)) + 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 + 2*x + 1. Let f be m(-1). Let j = f - 4. Suppose -29 = -d + 5*k, -d + 2 = j*k + 8. Solve -5 + 17 = d*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4064, -5 in decreasing order.\nAnswer: 3, -5, -4064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/5, -5, -261.66?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*b**2 + 0*b**2 + 0*b**2)*(2 + 2 - 6)*(b**2 + 0*b**2 + 7*b**2) + 0*b**4 + 4*b**4 + 2*b**4 as x*b**2 + l*b + f + g*b**4 + n*b**3 and give g.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 615*z**2 + 1290*z + 5000.\nAnswer: -5*(z - 4)*(z + 2)*(z + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122222320331 + 130?\nAnswer: -122222320201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-9) + 13244\/27090?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3 + 3 - 5 + i. Let c be m(10). Let u be (-4 - -2)*(-3 + c). Let z(h) = -h - 2. What is z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 61 - 77 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -13. Let a = y + 19. What is the remainder when ((-1)\/3)\/((-2)\/222) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) - 62\/(-8). Suppose 0*r = -4*r + f. Solve -4*c - r*j = 2, 4*j + 5 = -7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2 + sqrt(1584) + 4*sqrt(1584)) + ((3 + (sqrt(1584) + 0 + sqrt(1584) - sqrt(1584)) - sqrt(1584) - sqrt(1584)) + sqrt(1584))*3)*2)**2.\nAnswer: -60480*sqrt(11) + 5704164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -43 - -6 - (2 + -1). Suppose -r + 12 = 3*r. Let c be y\/78 - r\/(-9). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(72))\/(sqrt(96) + (sqrt(96)*-1 - sqrt(96))) + (4 + sqrt(3) + -4 - ((-3*sqrt(3) - sqrt(3)) + 5)).\nAnswer: -5 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 4) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 4, -59, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 - -0.07806242227?\nAnswer: -322.92193757773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:49 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 466*r - 71*r + 7*r**3 + 468*r - 86*r + 576 + 268*r**2 - 3*r**3.\nAnswer: (r + 64)*(2*r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = 3*d, -3*m + d - 1 = 0. Sort -3, 9, 2, m, -1 in descending order.\nAnswer: 9, 2, m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33859 or 33861?\nAnswer: 33859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/115815 and -52\/63.\nAnswer: 347445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*t**4 - 94*t + 103*t + 2*t**3 - 2*t**3 wrt t?\nAnswer: -1404*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 192033710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:10 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(325) - (-4 + (sqrt(325) + 0 - sqrt(325)))) + 4 - (5 + 2*sqrt(325) + (sqrt(325) + -1 + sqrt(325) + sqrt(325))*-1))**2*-6.\nAnswer: -7824 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 1629 - 5569 + 1967 + 1973.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.5 (b) -0.4 (c) -5 (d) 0.1 (e) -3.02 (f) 104\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 36 + -46 - 40.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258588*k**2 + 517258*k**2 - 258675*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*t**3*v**2 - 2*t**3*v + 2*t**3 + 2275*t**2*v**2 + 737870*t**2*v + 2*t*v**2 + v**2 wrt v?\nAnswer: 224*t**3 + 4550*t**2 + 4*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13031246 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2299 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/71 - -136\/213. Let m = 197\/684 + -5\/76. Find d such that 2\/3*d**2 - 2\/9*d**3 + m - z*d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.06 (b) 5\/16 (c) 1345 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 2\/3, -6\/41, 1\/2 in descending order.\nAnswer: 2\/3, 1\/2, 1\/10, -6\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3422*b + 1729*b + 1735*b.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -157289740 divided by 6?\nAnswer: -78644870\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180553 + 55957 = 5*q. Let s be q\/3306 - 1\/(-2). Let x = s + 14\/551. What is the common denominator of x and -107\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9 - 620\/45. Let m = 7 - o. Let g be (-7)\/(-49) - (-207)\/m. Solve 0*t = -2*t + g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -441 + -4?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-2 - -1)*2. Let m(g) = -g**3 + 5*g**2 + 57*g - 259. Let k be m(8). Solve -21 = -k*p + o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:06 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -45*n. Let t(r) = 30*r. What is 5*j(m) + 7*t(m)?\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -789409, -789399, -789385, -789367?\n\"Answer: 2*k**2 + 4*k - 789415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1681.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198753, -397508, -596263?\nAnswer: -795018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13756 and 17557.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 4*v + 2. Let n be a(-2). Let u be (-3 + 1 - -4)\/1. Find the second derivative of -4*i**3 - 15 + n*i + 15 + u*i wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p. Let g(n) = 3*n**3 + 4*n + 10*n**3 - 14*n**3 + 0*n**3. Calculate -3*g(b) + 4*y(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (145\/(-150) - -1 - (-149224)\/(-5520)) + 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17486 + 387.63486. Let i = x - 388. What is i rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*n**5 - 62519*a*n**2 - 257*a*n - 3*n - 1 wrt n?\nAnswer: -20*a*n**3 - 125038*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 + -1b936?\nAnswer: -1b921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 17*a**2 + 14*a + 18. Let q be h(-16). Suppose l = -5*g + q, g + 4*l - 38 = -g. Suppose d = g + 51. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 7*w**2 - 8*w**2 - 2 - w**3. Suppose 3*z = 2*s - 15, 5*s - 25 = 3*z + 2*z. Determine v(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a, 7*x = 5*x - a + 195. Suppose -4*f + x = -24. Calculate the remainder when 55 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 82*(-3)\/(-12)*-2. Suppose -a - 105 = 3*a + l, 2*a = -2*l - 54. Let h = a - y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126052.514 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -102001 (base 3) in base 8?\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63670000 rounded to the nearest 1000000?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53207784 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q - 17. Let h be f(4). Suppose -455 = h*o - 1575. Calculate the remainder when o is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 109, 91, 57, 1, -83, -201?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 9) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7699621 and 3507800?\nAnswer: 1539924200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r - 30. Calculate the lowest common multiple of r and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -d - 55, -742 = -101*d - 5489 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13341 - 1315.73341. Round o to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:54 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2351871 by -9011.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.752648 rounded to 2 dps?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s - 10. Determine o(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.130056 rounded to 4 dps?\nAnswer: 0.1301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 5*p - 21 = 8*n, 2*n = -2*p. Let t be (4 + -11 - -6) + (14 - n). Solve -f = f + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11102114 (base 5) to base 8\nAnswer: 275607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + j + 12. Suppose -j*d = -d + 110. What is the remainder when 47 is divided by (-268)\/d - 8\/44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 35. Give s(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - z - 12. Let q(w) = -52*w**2 + 4*w + 48. Let f(y) = 12*p(y) + 3*q(y). Let g(k) = 2*k. What is f(g(b))?\nAnswer: -528*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(4547*x**5 + 628*x**5 - 1625*x**5).\nAnswer: -7100*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 23. Let r be (3 + (-12 - f))*-1. Suppose 0 = -0*o + 4*o - 44. What is the highest common divisor of o and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 145.620612ms?\nAnswer: 0.00000168542375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 9, 0, -482, 5 in increasing order.\nAnswer: -482, -12, -3, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29167.\nAnswer: 29167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*r = -r - 2, 4*c - 5 = -3*r. Let k(b) = -2*b**2 + 5*b**c - 6*b**2 + 2*b**2. Let p(n) = -n**2 + 6*n**2 - 2*n**2. What is k(p(d))?\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-32)*2\/(-3). Let d = 86 - 293. Let q = 207 + d. Is q < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**3 + 2*y**2 + 2*y. Let c be n(-1). Let o(l) = -2*l**2 + 7*l. Let q(w) = 2*w**2 - 6*w. Give c*o(p) + 7*q(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444053.\nAnswer: 167, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 18*w - 4. Let r(k) = k**2 + k + 2. Suppose -l - 15 = 3*d, -3*d - 12 = 3. Let f be r(l). What is the tens digit of g(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7456*g + 596817. Give v(-80).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-21))\/(30\/(-21))*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**3 - 7*a**2 + 82*a - 138. Determine r(4).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2 (c) 5 (d) -24 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16707 - -16778. Suppose -k - 3 = -6. Which is the third biggest value? (a) -2\/5 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -692, -659, -626, -593, -560, -527?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*b + 11*b. Solve -3*v + 6*v**3 + 463*v**2 - 463*v**b - 3*v**5 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9285641*i*m - 40995*i + 67 with respect to m.\nAnswer: -9285641*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*(sqrt(512) - 1*sqrt(512)) + 3*(sqrt(512) + 0 + sqrt(512)) + -2)*1*1)**2.\nAnswer: 192*sqrt(2) + 18433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5*k + j + 9 = 0, -3*k + 2*j = 7. Let v(z) = 3*z**2 - 5*z - 3. Let x(q) = q**2 - 2*q - 1. What is k*x(p) + 2*v(p)?\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 7*s**2 - 7. Suppose -p - 4 + 5 = 0. Let c be (8\/(-16))\/(p\/(-56)). Let u = c - 21. Give i(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10121 + 4?\nAnswer: 10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 (base 10) in base 12?\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7 = -5*y, -x + 10 = 2*y - 0. Suppose -3*u + 3*o + 414 = 0, -u = -o - y*o - 153. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/6 - (-4)\/(-6))*1131\/1885. Let q(t) = -9*t + 8. Let o(k) = -k + 1. Calculate j*o(r) + q(r).\nAnswer: -6*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -131, -2376, 4, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -496.\nAnswer: 347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3432768 divided by -858192\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1502, 1289, -2358, -11155, -26818?\n\"Answer: -286*b**3 - b**2 + 1792*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21f8 (base 16) to base 2\nAnswer: -10000111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 543811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -949\/10 at least as big as -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -0.4, 0.5, -46 in decreasing order.\nAnswer: 17, 0.5, -0.4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -77894, -77890, -77886, -77882?\n\"Answer: 4*a - 77898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507124.\nAnswer: 2, 126781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -4*k - 3*s + 16, -5*k - 12 = 3*s. Solve c = -k - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -20.5. Let q(w) = -w. Let y be q(2). Let k be y\/3 + (-8)\/(-6). Which is the closest to 0? (a) x (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 59011 = -5*y, -2*n - 2*y - 3*y = -118037. Let a = n - 28026. Round a to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49506935 to the power of 1\/2, to the nearest integer?\nAnswer: 7036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143522 - -2?\nAnswer: -143520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1912 - 1.1912. Which is the closest to -0.1? (a) l (b) -22.72 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alelj. Give prob of picking 1 l, 1 j, and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69 - 124) + 43 - -50.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 6*s + 46. Let y be (-261)\/(-18) - 1\/(-2). What is the hundreds digit of v(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2\/3 + 8053*p\/3 - 244290 = 0.\nAnswer: -8143, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**4 - b**2)*(-1 - 6*b + 1) - b**5 - 2*b**4 + 2*b**4.\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/65 and -44\/1825941?\nAnswer: 9129705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/1961*((-4)\/16)\/(3\/(-24))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1102157*k + 2745122 wrt k.\nAnswer: 1102157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - h**2 + h - 3*h**2. Let t be (12\/(-3))\/4*-1. What is q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.4084mm in nanometers?\nAnswer: 654408400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2407 + -2303. Calculate the highest common factor of 1368 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/12 and 5\/2*(7 + 3438\/(-432)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (sqrt(432) + 1 - sqrt(432)) - sqrt(432)) + -1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001001 (base 2) in base 4?\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 4574*g + 4572*g - 114, -7*g - 399 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*10\/15 + 4*15\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpzvpppzppzp. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*w - 2 + 208*w + 189*w + 2 - 416*w.\nAnswer: 131*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480933?\nAnswer: 3, 53437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7)\/c*c*(c**(-17\/4)\/c)\/c)**(-1\/2))**(34\/7) assuming c is positive.\nAnswer: c**(901\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -505 + 1241?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3019982.5 to the nearest 10000.\nAnswer: 3020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 6. Calculate the remainder when (-38)\/((-10)\/5)*1 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*k - 11. Suppose -k*u + 10*u - 329 = 0. What are the prime factors of u?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 3*w - 12*w**2 + 24*w + 11*w.\nAnswer: -12*w**2 + 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1368 - 699 = -13*l. Suppose l*r - 4 = 158*r. Solve r*p - 4*u + 13 - 1 = 0, 5*u = -2*p + 29 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2384 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9)*(-24203 - 13). Let f = i - 3435. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 1774125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(128) - (-2*sqrt(128) + -4) - sqrt(128)) + -1*(0 + sqrt(128) + sqrt(128)) + 3 + -1 + sqrt(128) + -1 + 3))**2.\nAnswer: 2048*sqrt(2) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6*w - 8. Let c(l) be the second derivative of l**5\/5 - l**4\/12 + l**3\/2 - l**2\/2 - 18*l. Is c(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.47 - -37. Let y = 0.6 + r. Let f = -1.13 + y. Which is the closest to 0? (a) f (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485400468 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 7*b**2 + 9. Let y be z(7). What is the greatest common factor of 72 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.28596317 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63810 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.49922 and 676.\nAnswer: 675.50078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.4 - 22.51. Let p = 0.11 + i. Let h = 0.2 - 0.2. Which is the nearest to 0.1? (a) p (b) h (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose 0 = -n - 5*b + 21, 0*b = -3*b - k. What is the greatest common factor of 65 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40817?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -301.208 - 0.292. Let s = w + 301. Which is the second biggest value? (a) s (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*d + 74, -5*t + 0*d + 68 = -d. Let n(r) = 5*r**2 - t*r**2 + 5 - 5. Let c(v) = -4*v**2. What is c(n(g))?\nAnswer: -256*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 q when three letters picked without replacement from cccccbccccccccqcccqq?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-13) + 676203\/403?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -5*z**2\/2 + 13*z + 493. What is o(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1821*g - 766. What is the tens digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 394, -3, 3, 7, -9, 0 in descending order.\nAnswer: 394, 7, 3, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*n**4 - d*n + d*q**2 + 110*d + 2*n**2*q + 3*n*q**2 - q wrt n.\nAnswer: -4*d*n**3 - d + 4*n*q + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -37450828 times -0.1\nAnswer: 3745082.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 30 (c) 0.3 (d) 0 (e) -1\/4 (f) 17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:20 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 550740 rounded to the nearest one thousand?\nAnswer: 551000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 + 5*p - 5. Let i(s) = -7*s**2 + 11*s - 10. Let c(b) = -3*i(b) + 5*n(b). Let y = 8 + -16. Is c(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*6.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-3)*(w\/w**(-34))\/w*w)\/(w**21*w**(-4\/7)))**(-3\/17) assuming w is positive.\nAnswer: w**(-411\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*v - 1647 + 247. What is the highest common divisor of v and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*a - 4*z + 11, -2*a - 8 = -4*z. Suppose 0*s + 2*s = 3*r - a, -2*r = -3*s - 3. Calculate the remainder when 150 is divided by (1\/s)\/(5\/(-255)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288327 by 3.\nAnswer: 96109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34520844 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2\/3 - 194*v\/9 - 64\/9 = 0?\nAnswer: -32, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2. Let b be (-12)\/(-9) - 9\/(-108)*-12. Let a(x) be the first derivative of b*x**3 + 0*x + 0*x**2 + 1. Give a(d(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102980a (base 11) in base 7?\nAnswer: 21263022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 - 4*f**2 + 2*f - 5. Let z(a) = -a**3 + a**2 - a + 1. What is m(g) + 3*z(g)?\nAnswer: -6*g**3 - g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 + 14*s**2 + 31*s - 12. Let t be n(-6). Let f = t + 386. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3545000 to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 42 - 121 + 23*b + 42.\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5100750452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*k - 27*k + v - 13, -3*k + 15 = -3*v. Let r be ((-26)\/(-91))\/((-1)\/(-14)). Calculate the highest common divisor of r and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3\/4 + 20265*x**2\/4 - 2432691*x\/4 + 2412423\/4 = 0 for x.\nAnswer: -6873, 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z + 24*z = 34*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.358038 nanoseconds?\nAnswer: 0.006358038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-46))\/(671\/(-15433)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -6 - -6) + 3. Suppose 0 = -j + d*m - 52, -j - 37 = m + 45. Let h = -36 - j. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*z**5\/4 - 18*z**4 - 12*z**3.\nAnswer: -3*z**3*(3*z + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/23, -172.8, -9.1 in decreasing order.\nAnswer: -3\/23, -9.1, -172.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, -64, -360, -942, -1906, -3348, -5364, -8050?\nAnswer: -11502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -10. What is the common denominator of o*228\/8 - -3 and (-158)\/(-4)*(-2)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 - -698\/5. Let f = 68 + -66. Suppose -f = 42*j - 44. Which is the second biggest value? (a) 3\/4 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4798480 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d - 825. Suppose y + y + 4*h = 50, -5*h - d = -4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (9 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*g + 37242, -4*g + 4990 + 69574 = 4*t. Does 330 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 8:09 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000110011 (base 2) in base 6?\nAnswer: 22243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 253 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -856110 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 153\/36 + (-1)\/4. Solve -3*r = 8*y - 4*y + 8, -j*y + 2*r + 12 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2 + 2249*p - 6700. Let c be o(3). Solve 6 + 9\/2*t + 3\/4*t**c = 0 for t.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 3*k**2 - 94973496 + 94973493.\nAnswer: 3*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186202.\nAnswer: 2, 157, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -990008, -1980084, -2970172, -3960278, -4950408?\nAnswer: -5940568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*j = 143, -557*t + 558*t = 2*j + 32. Calculate the greatest common factor of t and 382.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1048 = -51*p + 190*p - 898 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plttlkttklttr. What is prob of sequence ktrk?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*h - 20 = -0*h, -15 = -3*v + 5*h. Let d be (119\/21 - 5) + (-4)\/6. Suppose -v*j = -d*j. Solve j = -5*i + 7 - 32 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -l + 6*d + 25, -10 = 2*d. Let x = -0.9622 - 0.0378. Put -6, x, l, -0.1 in ascending order.\nAnswer: -6, x, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 - 182340*n**2 - 16259248*n - 31789104 = 0 for n.\nAnswer: -87, -2, 45674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6033126957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(304) + 1) - sqrt(304)) + 1 + sqrt(304) + 1 + -4.\nAnswer: -16*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q - 7*q + q**3 + 15*q**2 in the form z*q**3 + r*q**2 + v + f*q and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:54 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 - 12*z**2 + 34335*z = 0. What is z?\nAnswer: -109, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6307 divide 446264399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 12*f**2 - 12*f + 15. Let a be n(-13). Let m(o) = 6081*o - 31. Is m(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -525 + 434 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-28))\/(-3)*(0 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36049 and 657319?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 10*a - 10. Let g(h) = -h**2 - 3*h + 3. Let l(k) = 20*g(k) + 6*p(k). Let v(d) = d. Give l(v(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18553 (base 13) to base 15\nAnswer: -de1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*p**2*r**2 - o**2*p*r**2 - 3*o**2*p*r + 2*o*p**2*r**2 - o*p**2*r + 5*o*p*r + r wrt p?\nAnswer: 4*o**2*r**2 + 4*o*r**2 - 2*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.191914 and 0.1.\nAnswer: -0.1191914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a minute in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2025 and 10126\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -2\/3, -5955\/443, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 1}. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, -2, 11, 86, 253, 542, 983?\n\"Answer: 5*b**3 - 14*b**2 - 12*b + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 151*g - 73374. Determine b(233).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 2\/7, -3, 4\/7, -2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, u: 5, m: 5, o: 3, s: 1, p: 3}. Give prob of picking 1 t, 1 m, and 2 o.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 60*g + 2*g = 7296. Solve 0 = -301*p + 263*p - g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 18984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/54378 and -13\/24?\nAnswer: 217512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 405, 829, 1275, 1743, 2233, 2745, 3279?\n\"Answer: 11*o**2 + 391*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5430\/31, -32, 4, -2\/3 in increasing order.\nAnswer: -5430\/31, -32, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -148*k**3 + 36*k**2 - 4*k - 5. Let d(i) = -148*i**3 + 27*i**2 - 3*i - 5. Give -4*d(y) + 3*g(y).\nAnswer: 148*y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17345460 divided by 1804\nAnswer: 9615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120112220210212 + 0?\nAnswer: -120112220210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = 3*t, -4*f = t + 61 - 73. Let v(r) be the first derivative of 14 + f*r + 15\/2*r**2. Differentiate v(a) with respect to a.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 206*c + 1490. Let i be t(-5). Does i = 464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 16. Let x be w(0). Suppose -2*y + 2 = 2*f, x = y + f - 5*f. Suppose -3*n + 5*t + 4141 = -2537, -y*t = 3*n - 6651. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 9) + -5 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7371)\/104650 + (5 + -4)*45\/345\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348095*r**3*u**3 - 17*r**2*u**2 - 1652*u**3 wrt r?\nAnswer: -2088570*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 8. Let z be w(0). Suppose z = o + 2. Calculate the lowest common multiple of 14 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 122 = 113. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + 5*o - 2. Let l be b(-5). Suppose 2*d = 5*d - l. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*x = -29, -o - 3*x + 2*x + 3 = 0. Suppose -f + 12 = 2*r, -f - 2 = r - 9. Let l be (-1)\/(-8 + 4)*f. Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 6:09 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*i - 37*i - 53*i - 336*i**2.\nAnswer: -336*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5020*c - 11*c**2 + 10*c**2 - 654 + 5019*c in the form y*c + u + x*c**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-24) - 4\/(-16). What is the nearest to -0.1 in 5, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 7:31 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/6 - 12685309*k**4\/6 - 40229310504931*k**3\/6 - 93868251639817*k**2\/2 - 107277949924740*k - 80458443415602 = 0. What is k?\nAnswer: -6342651, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*r + 3*l - 2, -5*r + 5*l - 20 = 0. Let o = r + 5. Let q = o - 0. Is q <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 430\/((-60)\/(-12))*(-24)\/(-48)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = 17*y + 130. Suppose -2*a + 110 = 2*u, u + 3*a - 40 = 25. What is the remainder when u is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349433717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y - 19. Let f be v(-3). Let w(s) = s**3 - 4*s**2 - 5*s - 3. Let g(x) = 11*x + 8*x**2 - 13*x**3 + 11*x**3 + 7 + x**2. Calculate f*g(k) - 9*w(k).\nAnswer: -k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t = 3*f - 6, -5*f = -t - 10. What is the first derivative of -7*j + 3*j - 11*j - f wrt j?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21670000 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2386 = -4*r + 954. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40446 + -21986. Round u to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/4 - 63*z**4\/4 - 569*z**3\/4 + 2163*z**2\/4 - 765*z\/2 = 0. What is z?\nAnswer: -51, -15, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 4)\/(10\/1225190*17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152018537 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -13. Let k be (3\/(-3))\/(t\/15). Suppose 2*n + 80 = 3*i, -64 = -k*i + 3*i + 4*n. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 26*r = -24. Let b(d) = -d**3 - 7*d**2 + 5*d - 5. Let v be b(r). Calculate the greatest common factor of v and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136 (base 8) to base 9.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 36*n - 12. Calculate q(14).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92888173.\nAnswer: 7, 227, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.5451.\nAnswer: -1.0902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 1. Suppose 0 = 2*r - 4*u + 8, r + 0*u = -3*u + 16. Let c be l(r). Solve -1 = -c*g + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1884624884 to 5 dps.\nAnswer: -0.18846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15751 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -637002?\nAnswer: 7007022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**3 - 732*f**2 + 22272*f - 225388.\nAnswer: 4*(f - 29)**2*(2*f - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 16, x + 7 + 3 = 3*a. Let b(y) = 2*y**2 + 0*y**2 - 3*y**a + 0*y**2. Let r(s) = 2*s. Calculate b(r(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*f - 138, 0*f - 3*f + p + 142 = 0. Find the second derivative of 16*u**2 + 1909*u**5 - u**2 - 1912*u**5 - f*u wrt u.\nAnswer: -60*u**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79.7 - 121.7. What is the closest to 1\/4 in -3\/5, -1, x?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x = 2*i + 6, -3*x - 15 = 5*i. Which is the closest to x? (a) 8 (b) -4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = x - 5716, -4*x - x + 4*s = -28562. Is 74 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 30*g - 1. Give f(-2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f - 409. Determine y(-50).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 28*l**4 - 188*l**3 - 56*l**2 = 0.\nAnswer: -2\/7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 3, d: 2, l: 1}. What is prob of sequence dnd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -605429\/310 + 1953. Is v at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 1, 7*c - 3*c + b - 5 = 0. Is c equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2507, -9511, -21181, -37511, -58495, -84127?\n\"Answer: g**3 - 2339*g**2 + 6*g - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**6\/20 + 7*g**5\/60 + g**2 + 3*g. Let w(x) be the first derivative of c(x). Find the third derivative of w(i) wrt i.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000098125 to seven decimal places.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1683*o**3*r + 2*o**3 - o*r - 488*o wrt o?\nAnswer: 10098*o*r + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229864051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 1:12 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q**2*u**2*v**2 - 11*q**2*v**3 - 2*q**2*v**2 + 337649*q*u**3*v**3 + 37516*q*u**3*v - 2*v**3 wrt v.\nAnswer: -66*q**2 + 2025894*q*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49562836 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133641, -133369, -132915, -132279, -131461, -130461?\nAnswer: -129279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2049*n + 105515 = -42013 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119912304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4 - 6844012*c**3 + 5855069376008*c**2 - 11710056623952*c - 46840445504064 = 0.\nAnswer: -2, 4, 1711002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -23*o + 1. Let j be w(-1). Let z be -1*j\/20*5. Which is smaller: -7 or z?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54141971 - 5491571 = -60*t. Round t to the nearest one thousand.\nAnswer: -811000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + sqrt(5324)*-1.\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*j - 97, 240 = -5*j - 3*u + u. Let y(l) = 12*l - 57. Let x be y(5). Suppose -2*t = 2*m + 98, -5*m + x*t - 213 = -0*m. Is m <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9))**7\/(g*g*g**3)**(2\/23))**(-48) assuming g is positive.\nAnswer: g**(-3712\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 20*h = -189. Let r be -6 - h\/((-63)\/(-9)). Solve -2 = 3*m - s, -3*m + m - r*s - 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0*o**2 + 6*o**2 - o**3 + 5*o + 3*o - 1. What are the prime factors of a(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**2)**15*(i**(-2\/15)*i*i)**(-14\/5) assuming i is positive.\nAnswer: i**(4108\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 - 4*x**4 + 3*x**4)*(-270*x + 712 - 712).\nAnswer: 270*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496 divided by 4?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.01344*160.7\nAnswer: -2.159808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (4 + (-165)\/22)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1717822474335 and 0.111.\nAnswer: -1717822474334.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 71449615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121162 + 165?\nAnswer: -120775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191408769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 61 = -2*s + 137, 0 = -n + 3*s + 218. Suppose 5*b = l + n, -27*l = 3*b - 25*l - 121. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + m + 1. Let c(g) = 5*g**2 + 3*g + 3. Let i(f) = 286*f - 571. Let a be i(2). Determine a*c(l) - 3*r(l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41\/5 + -9. Which is the nearest to -0.07? (a) d (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/(-323) - 3210\/(-190). Solve 0 = 2*u - 3*d - r, 11 = u - 2*u - 5*d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*y, 0 = -3*h + 2*y - y + 121. Let l = -18 + h. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 2989863.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 210?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-10)*(-8130)\/2439?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 5910.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + -3 + -138 - 2. Let t = -144 - k. Solve -l = -t*l - j + 4, 4*j = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = 12*o + 15, -4*w = 5*o - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52a (base 11) to base 4.\nAnswer: 21331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.696 and -0.119.\nAnswer: 12.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5295 - 15740 = -y. Suppose -5217 = -r + 4*m, -2*r + 0*m = 3*m - y. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4778\/96235?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwckucu. What is prob of picking 2 u and 2 c?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6845200 to the nearest 100000.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31561222.\nAnswer: 2, 7, 11, 29, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -14737.\nAnswer: -3\/14737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -43050386 and -43050383 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 26*l - 474. Determine n(23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*g - 12, 3*g + 14 = -5*o - 14. Let w(k) be the first derivative of 2*k**3\/3 + 5*k**2\/2 - k + 2. Does 19 divide w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.19 (b) -1\/2 (c) -0.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15706*j**3*w**4 - 5*j**3*w**2 - 39*j**3 + 169*j**2*w**4 - 21*j + 1 wrt w.\nAnswer: -376944*j**3*w + 4056*j**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -268 - -243. Let u be -5*1\/(o\/10). Let v be 2\/11 - 268\/(-220). Does u = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-6))\/((-4)\/(-80)). Let j(d) = d**2 + 9*d - 5. Let o be j(m). Let r be 63\/140 - 1\/o. Put 0, r, -0.2 in descending order.\nAnswer: r, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 259 - -51.774\nAnswer: 310.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (16\/(-4) - 7) + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489825058?\nAnswer: 2, 244912529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7784 and 952?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -70*508\/(-381)*(-3)\/(-5)*1. Calculate the highest common factor of 4192 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -1 + sqrt(704))**2 + 4.\nAnswer: -32*sqrt(11) + 2821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11124 + 11180. Solve q = 29*w - w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00244332 to six dps.\nAnswer: -0.002443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/60 + 4*k**4\/3 - 31*k**3\/6 + 20*k**2. Solve x(r) = 0 for r.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26.54181 tonnes?\nAnswer: 26541810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5, 0.044, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53243 - -3?\nAnswer: 53250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(3\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2038*r - 2037*r = 29*z - 321, 0 = 4*z - 44 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:09 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 23*c - 11. Let z be n(-16). Let h = z + 344. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6*x. Let c(r) = x*r**2 - 4 + 4*r - r**2 + 0*r. What is c(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 14) + 16 + -11 - 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 14 = 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811 = 2*o - 797, -4*q - 3*o - 5 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 - 270. Let u = h - -758. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -30. Suppose 5*k = 2*w - 59, -a*w + k = 2*k - 97. What is the remainder when 39 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 10*c + 5. Let p be r(12). Let v(o) = -o**3 + 13*o**2 - 16*o + 45. Let h be v(12). Let d = -32 + 36. Sort d, h, p in ascending order.\nAnswer: h, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 37.7. Let z = 3.5 - -0.5. Put -1, s, z in ascending order.\nAnswer: -1, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 55*x - 710. Give p(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2+10.57\nAnswer: 12.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.8323 + 3.8323. Let n be (-13)\/(-11) + -1 + 0. What is the closest to 4 in 3, n, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8904, 11824, 16690, 23502, 32260, 42964?\nAnswer: 55614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 16*y - 8*y - 60 = 0. Let l(o) = -9*o**2 + 5*o - 9*o - 5*o. Let i(d) = d**2 + d + 1. Let v(u) = y*i(u) + l(u). Factor v(w).\nAnswer: -3*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 641261, -62 in descending order.\nAnswer: 641261, 2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1783 - -1781. Sort -3\/5, 5, r, -4 in ascending order.\nAnswer: -4, r, -3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4549898669 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/3 + 2\/6. Let m = d + 1. Let v(s) = 2*s**3 - s**2 + 6*s + 1. Calculate the remainder when v(2) is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 764651, 764652, 764653?\nAnswer: 764654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {o: 11, b: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1166614 rounded to four dps?\nAnswer: 0.1167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y - 4. Let l be x(2). Let k be (l\/14 - -2) + 48\/(-112). Solve -5*p - 4*i = 0, -4*p - k = -i + 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*g + 30, 0*v - 42 = 4*g + 2*v. Let w(f) = 4*f**2 - 3. Let u(p) = 2 - 21*p**2 - 5 + 19. What is g*w(k) - 2*u(k)?\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psp when three letters picked without replacement from psp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 11:13 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) -5 (c) 0.01 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/15113 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-11 - -22) + -8 + -14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.5 - 39. Let r = -9.2 + 9. What is the third biggest value in r, 2\/7, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y**2 - 4*y + 37*y**2 + 13*y.\nAnswer: -5*y**2 + 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.2. Let c = -30.13 - -30. Let t = c - 0.37. What is the nearest to 0 in t, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 13*p - 157. What is the tens digit of w(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) - 32\/18. Let j be (2\/(-3))\/(x\/3). Let i = 32 - 25. Calculate the highest common factor of i and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 17, -7\/17, 2\/3, -0.1?\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2*3 - (sqrt(171)*-2 - sqrt(171))*-6)**2.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - -6) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14708212 and 2061?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1305 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 12 = -15*m. What is the closest to -1 in 5\/7, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l + 5*l - 8*l - 7 - 49*l. Suppose 44 = -2*f + 14. Is t(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/1 - -1 - 0. Let o be (m\/15)\/((-4)\/10). Let n = -490.8 + 491. What is the second smallest value in n, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t - t)*((-8*t + 6*t + 8*t)*(4 - 12 + 4) - 4*t + 3 - 3 - 3*t + 4*t - 3*t).\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*x**3 + 171*x**3 - 350*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 154, 336, 532, 748, 990, 1264?\n\"Answer: o**3 + o**2 + 172*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.21727 days to minutes.\nAnswer: 95352.8688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.12 - 0.62. Let a = 28 + -23. What is the nearest to 1 in a, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 7:14 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321 = -s + 315 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78.2 + 78. Let q = -0.04 + -1.96. Let i = -1.6 - q. Put 0, i, t in decreasing order.\nAnswer: i, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738225570.9 take away 0.0186?\nAnswer: 738225570.8814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 3*g**3 - 2*g**3 + (3*g - 5*g + g)*(2*g - 2*g - g**2) - 2*g**3 - 3*g**3 + 7*g**3 + 0*g + g**3 + 0*g + 3 + 2*g**3 + 0 - 5*g**3.\nAnswer: 2*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117035.634 rounded to the nearest 10?\nAnswer: 117040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = -117*x + 127*x. What is the third derivative of x*b**3 - 4*b**3 + 20*b**2 - 41*b**2 - 43*b**2 + 109*b**3 wrt b?\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1480*u - 2 + 1829*u + 2)*(4 - 3 + 0) + 0 + 0 - 2*u in the form l + o*u and give o.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-1)\/(-5) + (-11)\/55. Solve -10 = 8*q - a*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -17, 42, 137, 262, 411?\n\"Answer: -c**3 + 27*c**2 - 57*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23792, -23765, -23724, -23663, -23576, -23457, -23300?\n\"Answer: n**3 + n**2 + 17*n - 23811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c32 - 4?\nAnswer: c2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2194625 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55135 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -525 - -579. Find the second derivative of 7*l**2 + 63*l - a*l + 15*l**3 - 177*l wrt l.\nAnswer: 90*l + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from iiggig.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1153 + -796. Let r = 11 + -20. Let p be (-1)\/(-3) - x\/r. Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5 - 170*p**4 + 522988*p**3 - 87777960*p**2 - 448837200*p - 542376000 = 0. Calculate p.\nAnswer: -620, -3, -2, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-6642)\/(-144) + -47)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, y: 1}. What is prob of picking 1 y and 1 l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-176)*9669\/8790?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 12*s - 4. Let r be b(-11). Suppose 0 = 4*t - r*t. Let n = t + 1. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207187 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - -0.15. Let o = 3.8 + x. Let p = o - 4.002. What is p rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2808898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13586 (base 13) to base 15.\nAnswer: aa72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2 + 6. Suppose -w = -3*w. Let c(f) = 3*f + w*f - 2*f**2 + 8*f - 5*f. Calculate c(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7526, -7532, -7538?\n\"Answer: -6*t - 7520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*j + 1 + 5240*j**2 - 12*j + 14*j + 54*j + 6 wrt j?\nAnswer: 10480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-10))\/(12\/(-30)). Solve 0 = -q + u - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1 - 2)*-2. Let o be (0 + -1 + -44)*-1. Suppose -g*w = w - o. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-183)\/12 - -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*(-315)\/420\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 556127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + 2 + -5 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1392006 + -812185. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*d - 29*d + 27. Let x(l) = -l**2 + 11*l - 6. Give x(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1236*p**2. Let f(g) = 20*g. Calculate f(j(n)).\nAnswer: -24720*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 1, k: 1, v: 1, m: 1, d: 6}. Give prob of picking 1 y, 1 d, 1 m, and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 4, 2, 263.\nAnswer: 0, 2, 3, 4, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -1 + 3 + (-22 - -16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4 <= 7505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 132*o**4 - 4640*o**3 + 5908*o**2 + 1576*o - 2976 = 0.\nAnswer: -2\/3, 1, 372\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/((-1)\/(-18)))\/(-1). Let o be 25 - (2\/(-5) - (-48)\/(-30)). What is the greatest common divisor of o and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*d - 14, 10 = 3*f - d. Suppose g - 348 = -f*g. What is the highest common divisor of g and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3023*v + 3024*v = -13, -3*c + 65 = -5*v. Let a be 94\/18 - 10\/45. Solve j - a*t + t - 20 = c, 0 = -3*j + 4*t + 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.081*46849\nAnswer: -284888.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = -30*u + 95394. List the prime factors of u.\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 - 899*o**2\/3 + 1795*o\/3 - 299.\nAnswer: (o - 897)*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8786714 (base 10) to base 15\nAnswer: b8870e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/3 - 826943*i**2\/3 - 21501169*i\/3 - 20674225\/3 = 0. Calculate i.\nAnswer: -25, -1, 826969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -23 - -76) + -18.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*r**4 + 470*r**3 + 2892*r**2 - 27*r - 3 wrt r.\nAnswer: -432*r + 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97376 rounded to the nearest one hundred?\nAnswer: 97400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 2*p - 1. Let s be h(-2). Let k be (s - -6) + 0 + 1. Find n, given that -13\/2*n**2 + k*n + 3*n**3 - 1\/2*n**4 - 2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120959 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 426487 - 283993. Let p = 142533.0044 - u. Let x = p + -39. What is x rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - a + 2*a)*(3*a - 2*a + 0*a) - 5 + 18 - 13 - 593*a**2 as x*a + b + w*a**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 2:59 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 6298144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -531575*y**3 - 1343926*y**2 wrt y?\nAnswer: -3189450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -14*c - 4. Let x = 85 - 83. Let v(p) = 0*p - x*p - p + 2*p. What is v(u(n))?\nAnswer: 14*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 23*t**7\/210 + 11*t**4\/24 + t**2. Find the second derivative of b(m) wrt m.\nAnswer: 276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45844)\/(-3066) - 2\/(-42).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**6*b)\/b)*b*b*b*b\/(b**(-2)\/b))\/((((((b**5\/b)\/b*b)\/b)\/b)\/b)\/b**(-5))*(b**5\/b*((b**(-5)\/b)\/b*b*b)\/b)**(-2\/105) assuming b is positive.\nAnswer: b**(-416\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.4, -0.7, -0.3 in decreasing order.\nAnswer: 0.4, 0.3, -0.3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63883425, 255533677, 574950763, 1022134683?\n\"Answer: 63883417*a**2 + a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (24\/13)\/((-1536)\/(-14976))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 10*b + 13. Suppose -3*k - 56 + 26 = 0. Is t(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1071.67168 times -0.4\nAnswer: 428.668672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169 - -331. Suppose 0 = -6*s + k - 264. Let q(j) = j**3 + 18*j**2 + 16*j - 13. Give q(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i**3 - 193*i**2 + 557*i**2 + 58*i**4 - 174*i**2 - 190*i**2 - 2*i in the form h*i**2 + o*i**3 + s + p*i**4 + l*i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/5 - 421724*i**3\/5 + 337386*i**2 + 421724*i\/5 - 1686928\/5 = 0. Calculate i.\nAnswer: -210866, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 35650?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*k**2 + 49*k**2 + 51*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*i + 592 + 363 = 97*i - 137 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + b + 2. Let q be (-18 - -19)\/((-1)\/2). What is k(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 21, 67, 143, 255, 409?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/(-7) + (-2 - (-24)\/14). Let j(p) be the first derivative of p**4\/4 - 5*p**3\/3 - 2*p + 3. What is the units digit of j(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:49 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -32 (b) 3\/5 (c) 3.8273 (d) -2\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (970*i + 2397*i + 190*i)*(-2*i + i**3 + 2*i)*(1 - 2 + 2).\nAnswer: 3557*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 8, h: 5, d: 2}. Give prob of picking 1 d and 1 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23035, 22324, 21615, 20908, 20203?\n\"Answer: o**2 - 714*o + 23748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 13. Let o be m(11). Let v be 42\/(-9) + o\/3. Which is the second smallest value? (a) 0.2 (b) v (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 22533?\nAnswer: -22551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/5 + v**3\/2 - 347*v**2. Let g(l) = -l**2 + 1. Give -3*g(c) + z(c).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.00042 + 0.10042. Is -1\/2 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/5 + 147*p**4\/5 - 342*p**3 + 4278*p**2\/5 - 3999*p\/5 + 1287\/5 = 0. Calculate p.\nAnswer: 1, 13, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvv when three letters picked without replacement from {v: 2, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:08 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 6\/11 (b) 10 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - y + 0*y - 20 = 0, -3*y = 4*n - 18. Let c = 7 - n. What is the units digit of c + -2 + 56\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (72\/60)\/(((-9)\/(-20))\/3). Suppose 4*m - 2 = -a, -3*m + t*m = a - 2. Differentiate -13 + 6*l**3 + 2*l**3 - 19*l**a + 19*l**2 wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 908530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.2 - -19. Let y = 2.20018 + r. Round y to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 10*y**2 - 10*y + 1. Let j be f(9). Let b(n) = n**2 + 5*n - 5. Determine b(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973.093569 rounded to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4904011883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 7*l + 13. Let k be j(-7). Suppose -7 - k = 5*r. Let g be (-5)\/(-2*(-2)\/r). Let q(z) = z**3 - 4*z**2 - 4*z + 1. Determine q(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1952 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 - -51195884?\nAnswer: 51195911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**6\/120 + 7*h**5\/60 - 5*h**4\/12 - h**3\/3 - 26*h**2. Let l be n(5). Is (2 - 0) + 379 + l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/((-10)\/15). Let j(q) = 15*q**2 - 85*q + 85. Let g(t) = t**2 - 6*t + 6. Let o(x) = -85*g(x) + 6*j(x). Determine o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 2*i + 0*i)*(-2*i + 0*i + 3*i) + 59*i**2 + 1 + 104191*i - 104195*i + 26*i**2 in the form b*i**2 + w + f*i and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/211 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 48 = -9*p. Let l be -1*(20\/70 - p\/14). Round l to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 30 + (9 - 0) + (2 - (-3 + -2)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 2*s = 13*x - 24, 516*s + 619 - 2177 = x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 5. Let q(y) = y**3 + 14*y**2 + 13*y + 9. Calculate the lowest common multiple of i and q(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-1 + 1) - 38. Let z = -36 - d. Let l be ((-1)\/8)\/((-2)\/(-4)). What is the closest to z in l, -1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + -5 + (17 - (20 + -23))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/3 + 92*m\/3 + 56.\nAnswer: 4*(m + 2)*(m + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + 5 - sqrt(7)) + -4 + sqrt(21)\/(sqrt(216)\/sqrt(8)).\nAnswer: sqrt(7)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 205*z - 7948. What is n(30)?\nAnswer: -898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 6697*a - 364554.\nAnswer: (a - 6751)*(a + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(2\/13)*x))*x)**(1\/28)*x**(2\/135)\/x**(5\/4) assuming x is positive.\nAnswer: x**(-27581\/24570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1945 - -463. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by -229649.\nAnswer: 115\/229649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:40 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 7*g**2 + 4*g - 32. Let b be d(-8). Solve b = 5*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.004, -0.4, -4, -4\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) -6\/7 (b) -36 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211 - -646. Does 11 divide (-2)\/(-4) + g\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 28\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and 360679?\nAnswer: 11541728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3505, 2624, 1741, 856, -31?\n\"Answer: -o**2 - 878*o + 4384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*c - 141*c - 6 = 0. What is the lowest common multiple of (10 - 2)*((-44)\/(-8) + c) and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 1. Let b(n) = 2*n - 3. Give -4*b(s) - 14*c(s).\nAnswer: 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3627 + -3616. Solve i*c - 147 = -10*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 294*q + 10. Let y(i) = -3*i**2. Calculate y(j(w)).\nAnswer: -259308*w**2 - 17640*w - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + 2*sqrt(1088) + sqrt(1088) + sqrt(1088) - 1*sqrt(1088)*4)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3214080 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -11 - (-7 + 23 - 39) - (-3 + 0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, -100, -294, -556, -880, -1260, -1690?\n\"Answer: k**3 - 43*k**2 + 2*k + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3018 is divided by 1266?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 25*m**2 + 65*m + 64. Suppose 4*w - 2*j = -7*j - 111, 0 = -3*w - j - 86. Is d(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79021 + 6994166111?\nAnswer: 6994087090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 4*l + 4. Let i(q) = -4*q**2 - 7*q - 7. Determine -5*f(z) - 3*i(z).\nAnswer: 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -6, 4, -812.\nAnswer: -812, -6, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*j - 3922 = 0, y - 1311 = -2*j + 5*j. Let r = 2032 - y. What are the prime factors of r?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let s = -1 + g. Suppose 0*h - 4*h + 642 = -2*t, t = s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9117086?\nAnswer: 2, 11, 414413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 82 = 4*r, 15 = r - 2*b - 2*b. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*f + 99*f + 30*f - f**2 - 982*f**3 - 17*f wrt f.\nAnswer: -5892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -221. Let o = f - -133.8. Round o to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5262 - -5270) + (1 - 65).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (2 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbmmmmammmmqmdmq. Give prob of picking 1 b, 1 q, and 2 m.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 10*c - 11*c + 3, 17*c + 44 = -2*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/32)\/((-110)\/(-5)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.193613 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1428*s + 1 - 1 + 2733*s - 1401*s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w*w\/(w**(-4\/5)\/w)*w)\/w*w))\/w**(-5))**(2\/27)\/((w\/w**7)\/(w\/w**(-2)))**37 assuming w is positive.\nAnswer: w**(44957\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -15. Put c, -1, 2 in descending order.\nAnswer: 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.993542 to 2 dps.\nAnswer: -1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 45 = 21*x + 104 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -63395.\nAnswer: 50716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 278\/4*10\/5. Let t = g - 63. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-996)\/(-288) + -2)*(-268)\/30. Let u = b + 115\/9. Sort u, 4, -4.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 35 + 23 - 81 + 23.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27772*k - 27772*k - 9*k**3 + 0*k**2 + 0*k**2.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2 + -3) + (-320781)\/345. Is -929 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2204.\nAnswer: -1\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r + 5\/2*r**2 - 1 - 1\/4*r**4 - 5\/3*r**3. What are the prime factors of p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -259 greater than -5303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357 (base 10) to base 2.\nAnswer: 101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 4*z**2 + 5. Let w be a(4). Suppose -6*l + w*l = -i + 26, 4*l + 48 = 2*i. Suppose 6*k - 2*k - i = 0. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2713\nAnswer: 4\/2713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 34*u = 16*u - 2436 for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 8. Let u(x) be the first derivative of x**3\/3 + 48. Determine u(r(n)).\nAnswer: n**2 - 16*n + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Calculate the greatest common divisor of z and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 68921 = 3*m - 2164, -2*m = 3*r - 47393. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7127.94 minutes?\nAnswer: 427676400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 23077210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**5 + 5325*q**4 - 150065*q**3 - 160725*q**2 + 150070*q + 155400 = 0.\nAnswer: -1, 1, 30, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a + 2*t, -3*a - 11 = -2*a - 3*t. Suppose -16 - 4 = -a*y. Solve 0 = j + 2, -2 = -y*q - 5*j - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 39*b**2 - 405*b - 1271. Determine r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-one halves of a hour?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/11)\/l**(5\/6) assuming l is positive.\nAnswer: l**(-37\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 156685, 156721, 156779, 156859?\n\"Answer: 11*s**2 + 3*s + 156671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30986 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 515731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 0) + -12 + (-2 - -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -272733.\nAnswer: -272729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/5 - 580882*s**3 - 1405930971738*s**2\/5 - 226853991937039886*s\/5 + 453713607621202036\/5.\nAnswer: -2*(s - 2)*(s + 484069)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 31949440 to the nearest one hundred thousand.\nAnswer: 31900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63457*i**2 + 2847024.\nAnswer: -126914*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y - 93. Let p be r(-18). List the prime factors of p\/(-55) - (-2 - (-3606)\/(-10)).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -187*z + 138686 - 17518 + 17399. What is the remainder when z is divided by 246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -532 and 87302.\nAnswer: -46444664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 132*y - 2469. Give d(9).\nAnswer: -1281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 + (-130 - -26). Let v = 105 + i. Which is the nearest to -3? (a) 1 (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -85, -158, -231, -304?\n\"Answer: -73*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 22*d**2 - 12*d - 2. Let y(o) = 16*o**3 - 9*o**3 - 6*o**3 - 9*o**2 - 1 - 5*o. Give 5*s(c) - 12*y(c).\nAnswer: -2*c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -8\/15 (c) 4 (d) 2\/9 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 25723004*h + 308676624.\nAnswer: -4*(h - 12)*(h + 6430763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 + 5*z**2 - z**2 + (z - z + 2*z)*(-z - 4 + 4) - z**2 - 4 + 4 - 36 - z**2 + 7527*z - 7527*z in the form u + w*z + n*z**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1631*d**2 + 1759*d + 129. Determine j(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10802427 by 3600809.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001230355 rounded to six decimal places?\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 9) to base 3\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -356 - -1501\/4. Let t = -5\/338 - 13465\/3718. Find the common denominator of b and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -218518*j**3 + 2*j**2 + 2*j + 2. Let f = 10 + -13. Let w be b(f). What is w rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10*k**3 + k**2 - k - 2. Let o be p(-1). Find the second derivative of 5 - 7*c**5 + 24*c + 23*c**5 - 2 + 218*c**3 - 218*c**3 + o*c**4 wrt c.\nAnswer: 320*c**3 + 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 537 = 4*n + 4336, 4*m - 6487 = -5*n. List the prime factors of m.\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-512.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.86 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7370593735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 60. Differentiate 0 - 3 + 12 - u*b + 16 wrt b.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (212\/(-1325))\/(4\/10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -14*r + 9*r + 18, -2*d + 2*r = 0. Let w(l) = 127*l**3 + l**2 - l - 2. What is the tens digit of w(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -18*v. Suppose -4*c + 2*i + 4 = v, -3*c - 4*i + 28 = c. Factor -1\/2*g**5 + 1\/2*g**c + 0 - 1\/2*g**4 + 0*g + 1\/2*g**2.\nAnswer: -g**2*(g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835792 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - 7.9. Let w = -5 - l. Which is bigger: -0.03 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 24*s + 137. Let w be m(9). Factor 8*z**3 - 22 + 35*z - 3*z**2 - 11*z**w + 2*z**3 + 9*z**3 - 18*z**3.\nAnswer: (z - 11)*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20))\/(2\/(-80)*-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 2*l + 1. Suppose -4*y + y = -9. Suppose -1 = y*f + 8. Is u(f) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 7*m**2 - 7*m + 1. Suppose -5*g + 4*p = -2*g - 13, p = -2*g - 6. Let o = 6 + g. Calculate the lowest common multiple of x(8) and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379466 is divided by 15863.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 7. Let y be v(-8). Let i(o) = -o**3 - 8*o**2 + 10*o + 11. Let j be i(y). Solve 0 = j*f + f + a + 10, 5*f + 28 = 4*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.303 (b) -0.1 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 304 = 20*x. Let y(a) = 1 + x*a + 0 + 13. Let i(p) = 5*p + 4. Let l(g) = -14*i(g) + 4*y(g). Let q(k) = 9*k**2. Calculate l(q(w)).\nAnswer: -54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) - (-40431)\/14. Let o = 362689\/126 - r. Let a = o + 88\/9. What is the closest to 0 in 3\/4, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, y: 2, d: 1, h: 3, a: 2, c: 3}. What is prob of sequence adyc?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(9 - 37\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 7 - 18. Suppose 0 = 4*v - 3*h, -h - 5 = r*v - 24. Solve v = -k + 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6919788 and -1308.5?\nAnswer: 6921096.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 0.4 (c) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, f: 2, k: 6}. Give prob of sequence wfk.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -1, 143, -2 in increasing order.\nAnswer: -57, -2, -1, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75662.99 microseconds in milliseconds?\nAnswer: 75.66299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 2*b**3\/3 + 9*b**2\/2 - 5*b - 1. Does 12 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-39)\/(-297) + 48\/(-108). Which is the nearest to 0.1? (a) 0 (b) -7 (c) y (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y, -y = 3*z + 2*y - 69. Solve -3*h = 2*h - z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24901*d*x**3 - 34*d*x**2 - 6*d*x + 4148*x**3 - 714*x**2 + 15*x wrt x?\nAnswer: 149406*d + 24888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -22.66, 19\/32, -0.004 in descending order.\nAnswer: 19\/32, -0.004, -22.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*l + 304, -8*t + l + 449 = -5*t. Calculate the remainder when t is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3001*d**2 - d. Let b be j(-1). Let l = -4488 + b. Let c = -28226\/19 - l. Calculate the common denominator of -16 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -142*g - 2. Let p(z) = -143*z - 2. What is 4*n(o) - 5*p(o)?\nAnswer: 147*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1856, -7402, -16638, -29558, -46156, -66426, -90362?\n\"Answer: u**3 - 1851*u**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 7, -0.089, 273, 0.3?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-88)\/(-14) + 6\/(-21). Suppose 225 = -a + b*a. Solve -a + 20 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36737.\nAnswer: 17, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1834 and 157868362.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 864\/840 - 12\/(-21). Factor -k - 16\/5*p - 2\/5*p**3 - 2*p**2.\nAnswer: -2*(p + 1)*(p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402443 (base 5) in base 11?\nAnswer: 1a458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/9, -2\/993, -1\/2, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 30. Let r = t + -14. Sort r, 3, -3 in descending order.\nAnswer: 3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 291142, 582366, 873668, 1165048, 1456506, 1748042, 2039656?\n\"Answer: 39*z**2 + 291107*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 116*x + 130*x)*(3*x + 0 + 0).\nAnswer: 42*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162860 is divided by 162837.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28393268.\nAnswer: 2, 1307, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -45. Suppose k = -f - 8, -6*k + 4*k - f - 14 = 0. Let u be (k\/g)\/(3\/108). What is the highest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 2:20 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a milligram in micrograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1298 + 1289. Let p(v) = -v**3 - 9*v**2 + 20. What is p(b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 46291.49nm?\nAnswer: 0.00000004629149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*v + 2*v**2 + 31*v + 0*v**2 + 0*v**2 - 89*v as k + l*v**2 + g*v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - 2. Let t(f) = 71032*f + 13*f**2 - 7 - 71032*f. Suppose 4*n = 5*n + 5. Let z = n + 3. What is z*t(v) + 7*l(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*t + 5120 = 5061, 3*m - t = 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*l = -4*c + 11, -5*l = -4*c + 2. Let v(z) be the first derivative of 0*z + 1 + 2\/3*z**c + 0*z**2. Factor v(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + d + 7. Let n be (-10)\/(-35) + 2\/(-7). Let i be a(n). Let l(j) = j + 2*j - i*j. Calculate l(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 15. Let g be a(23). Let p(u) = -68*u + g*u + 4 - 2. What is the units digit of p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415119 is divided by 979?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106.764211 + 106.716. What is y rounded to three decimal places?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29341103 - -324240.\nAnswer: -29016863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 3*m - 3*m)*(139*m**3 - 87*m**3 + 88*m**3) + 173 + 35*m**4 - 173 in the form z + c*m**2 + l*m**3 + s*m + h*m**4 and give h.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x + 3*x + 3 - 10 - 12 - 2*x**2 as t*x**2 + a + i*x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u - 4. Let w be b(-2). Let i be (0 + -1)*-1 - -37. Let m = i + w. What is the lowest common multiple of m and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -8\/267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.921196811234918618 + 16354423438.92119744123491862. Let a = -16354423548 + c. Let j = a + 110. Round j to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**2\/2 - p + 59. Suppose 4*t + 22 = -5*n, -2*t + 2*n + 2*n + 2 = 0. Let w be c(t). Is w equal to -11\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169756099*w**3 - 28610195*w**2 wrt w.\nAnswer: 1018536594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4 + 268*q**3 + 1981*q**2 - 15268*q - 36300 = 0. Calculate q.\nAnswer: -11, -2, 6, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4\/9 + 922*j**3\/3 + 447722*j**2\/3 + 256859930*j\/9 + 4546233272\/3 = 0.\nAnswer: -433, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 239*f**2 - 3325*f - 290. Calculate z(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.218035 rounded to one decimal place?\nAnswer: 39.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3858.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 4*u**3 - u + 34 - 1479*u**2 + 1480*u**2 + (2*u**2 - 2 + 2)*(0 + 0 + 2*u) + 2*u**3 - u**2 + u**2.\nAnswer: 2*u**3 + u**2 - u + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 9*l**2 + 20*l - 15. What is j(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 + 80. Let s(v) = -13*v - 17. Let z(i) = -4*i - 6. Let q(u) = 2*s(u) - 7*z(u). Calculate the remainder when q(f) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000034560555 rounded to 7 dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.3. Let a = 5.9 - 6. Let f = a + n. What is the second smallest value in -4, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -12) + (3 - 7) + 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8665109 is divided by 223.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 8*k + 2*k)*((-2 - 2 + 2)*(3 + 1 - 2) - 6 + 1 + 4 + 2 + 3 + 2) as m*k + f and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 - -4 - -2 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(sqrt(1300)*-3 - sqrt(13)).\nAnswer: -1 + 62*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 54.000000405. What is g rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44737?\nAnswer: 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 346*i - 1030. Determine k(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00821146409 rounded to four decimal places?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5 of a decade in months?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2. Let n = 39 - 39. Suppose n = -7*g - g + 16. Let j(o) = -4*o + 3*o + o - o**g. Determine h(j(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8903.\nAnswer: 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 63*p + 6*p**3 - 17*p - 8*p**3 + 4*p**3 - 52*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1223 - -626. Let u = 94 - n. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + (-34)\/(-6))*-10*6. What is the highest common divisor of g and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722517.1 less than -148231?\nAnswer: -870748.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-104)\/(-20) + 3 + (-64)\/20. Solve 3*n + 5*z + 7 = 26, l*z - 17 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 + 66 = -52*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (-21)\/(-6))*(0 + -54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*(3 - 1). Let c be 1*r*(-6)\/(-21). Let k = 0 - 0. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 221297.7 millennia?\nAnswer: 221297700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -22. Suppose 0 = -s + 2, m - l*s + 4 = -m. Suppose 0 = -5*x + 2*p + 311, 0 = 4*x + 5*p - m*p - 262. What is the highest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31719 and 3201?\nAnswer: 348909","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2 + 13. Let a = 68 - 72.9. Let z = -5.1 - a. What is the third biggest value in 4\/7, 3, p, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -123*t**4 + 7*t**2 + t - 14. Let j(i) = 61*i**4 - 4*i**2 + 7. Let f(r) = -7*j(r) - 4*s(r). Find the second derivative of f(d) wrt d.\nAnswer: 780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {a: 5, w: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1089877521 by -3.\nAnswer: -363292507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 21*w + 25. Let r(c) = -4*c - 5. Determine -2*p(t) - 11*r(t).\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000043645 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4775 + -4797 + 25 + (1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 6*l + 2*l)*(2 - 399567*l + 400331*l - 2).\nAnswer: -4584*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*o - 10. Let b be (12\/4)\/9 + 69\/o. Suppose -3*g + 90 = -3*i, 5*g - 105 = -0*i - 4*i. Solve -g = -b*m + 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.051 + 19.949. Let x = 78 - d. Let y = -59.02 + x. Round y to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 - -23238?\nAnswer: 23500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (778\/(-33) + 2620\/2882 + 3)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.52 + 0.154.\nAnswer: -73.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2230 = -13*s + 2866. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10876414\/5 or 2175284?\nAnswer: 10876414\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -254 - -4?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/sqrt(3))\/sqrt(10) - -4*sqrt(5)*4 - (sqrt(180) + -5 + -4 + -5))**2.\nAnswer: 308*sqrt(5) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3\/1675 (c) -0.5 (d) -15 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13124 times 2\nAnswer: -26248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*y + 24, 4*l + 0*y - 6 = 2*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 26*k + 28*k - 413 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k**2 - k)*(k**3 - 3*k**2 + 3*k**2) - 25*k**5 - 64*k**5 - 405*k**5.\nAnswer: -495*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.407494\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190*45\/58140*((-6)\/45)\/(3\/(-54))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.6 + -190.9. Let z = 172 + y. Let x be 0 + 0 + (-4)\/(-6). Which is the nearest to z? (a) -0.4 (b) x (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 5. Let n be c(-2). Suppose n*k - 16 = 7*k. Is (-1712)\/(-32) - (-2)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 4 + (-768)\/140*2)*5\/(-1).\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(500) - (sqrt(99) + sqrt(99) + sqrt(99) + (6*sqrt(99) - sqrt(99)) + sqrt(99))\/sqrt(9).\nAnswer: -89*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.049? (a) -15 (b) -7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 1. Suppose -4*w = -2*l - 0*l - 20, -n*w + 9 = -3*l. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165828 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 + -0.22. Let n = -3 + -1.6. Let a = m - n. What is a rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, -76, -135, -218, -331, -480, -671?\n\"Answer: -k**3 - 3*k**2 - 25*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 8*j**2 - 5*j + 7. Let b be g(-7). Let y(t) be the third derivative of -t**5\/60 - t**4\/4 + t**3\/6 + 4*t**2 + 209*t. Calculate y(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 8*m + 2. Determine g(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3248511114 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -15\/196, -0.3 in ascending order.\nAnswer: -0.3, -15\/196, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) - (-43494)\/(-87516). Which is the nearest to -1? (a) 4 (b) m (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1046275 and 750.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-144)*-30*2\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*r + 35 = 4*r, -3*r - 159 = -4*n. Let b = n + -12. What is the highest common factor of b and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/171 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 6*o - 14 = 5*o, 3*x + 4*o = 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 60 = -80 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4))**(-16\/9))**(-34)\/((s**(-2\/7)*s)\/(s**(-1\/2)\/s)*s**(2\/3)*s*s**(-1\/6)*s*s) assuming s is positive.\nAnswer: s**(832\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1446154751 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 193*a - 8 = 189*a, -4*a + 8 = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/8 and -93\/1444?\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/20)\/(5\/525). Let i = 797 - 500. Determine x, given that i - r + 4*x**2 + 219 - 88*x + 10 = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 6 + 4)*(-3*l + 6*l - l)*(5 + 4 + 6) as n*l + b and give n.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3590 divided by 94\nAnswer: 1795\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 325.5 + -19.5. Let p = 149 - w. Let h = p - -156.9644. What is h rounded to three decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-14))\/((-52)\/(-364)). What is the third smallest value in -0.4, 4, -5\/21, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/10*(-460)\/15. Let i = -37 + v. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 18 - 10 = 0. Suppose -22 = -3*d - 2*h - x, 0 = -d + 3*h + 5. Let z(o) = -o**3 + 5*o**2 + 2*o - 3. Determine z(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvpppvpp. Give prob of picking 2 p.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1\/13 (c) -4 (d) 2 (e) -97 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - x. Let w(u) = 4*u**2 + u. Suppose -2*b + 13 = -2*d - 1, b = -4*d - 13. What is d*w(o) - 6*l(o)?\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 17*p**3 - 2*p**2 + 1. Let d be i(-1). Let g = 8 + d. Let a be (-6)\/9*(-6)\/g. Put a, 5, 4\/7 in increasing order.\nAnswer: a, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 1. Let o(b) = -3*b + 41. Let j(u) = 2*k(u) - o(u). Let s = 1069 - 1051. What are the prime factors of j(s)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29\/2 of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492795.\nAnswer: 3, 5, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 3*q**2 - q**2)*(-q + 4*q - q) + (0*q**2 - 2*q**2 + 0*q**2)*(20*q + 27*q - 14*q) + (q**2 + 4 - 4)*(3*q + 0*q - 5*q).\nAnswer: -66*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -14*w - 2*r + 240, w - 4*r - 95 = 0. Calculate the remainder when w is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 - 57. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 less than 1690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -22 - ((4 + 1 - -6) + 0 + -1)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110011010010 + 100001?\nAnswer: 101110011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b - 265 = 34*b - 131*i + 144, 4*b + 152 = 7*i + 32 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493*q + 497*q + 12 = -4*l, 4*l = q + 13. Let m be ((-2)\/(-5))\/((-2)\/(-1)). Let f = m + -1\/30. Which is the second biggest value? (a) f (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5110)\/735 + (-6)\/(-378)*-3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 307, 587, 867?\n\"Answer: 280*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 3*k - 34 + 96 - 29.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 24*w + 15 = 3*r, 3*w = -3*r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 1203340567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*d**3 + 368870*d**2 - 4271088*d?\nAnswer: 138*d + 737740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2995*h**2 - 2480*h + 515 = 0.\nAnswer: -1, 103\/599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.081 + 4.081. Suppose 5*n = 2*k - 8, -3*k - 2*k = 3*n - 20. Which is the second biggest value? (a) -0.3 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -17) + 1 + -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223736156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -92*o + 330*o - 1971 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114394041 a multiple of 1083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9252010 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68076716369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, -4, 266, -1 in descending order.\nAnswer: 266, 12, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9897 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-72) - 1\/2. Let x = -1.16 + 1.1. Let z = x + 1.06. Which is the nearest to z? (a) 2\/3 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 + 5*n. Let s(p) = -2*p**2 + 4*p. Let y(t) = -5*s(t) + 4*x(t). Let a(u) = 102*u**2 - 1. Determine y(a(k)).\nAnswer: -20808*k**4 + 408*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13602)\/(-9))\/((-18)\/(-27)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 938, 1244, 1550, 1856, 2162?\n\"Answer: 306*z + 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, y: 1, h: 6, f: 3, e: 1, q: 1}. What is prob of sequence fhy?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 71*r + 638. Give g(43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -20. Let t(z) = z + 9. Let g be t(l). Let o be -3 + 5 + (g - -1). Let r(f) = f**3 - 5*f**2 - 2*f + 2. What is r(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-4)\/2 - 3. Let h(p) = 8*p. Let s(l) = 1994*l + 1980*l - 5944*l + 1985*l. Calculate y*s(k) + 9*h(k).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71035217 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: 4*(-7)\/(14\/(-2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -24. Let c(f) = 5*f - 4. Let x(a) = 15*a - 11. Let y(d) = v*c(d) + 4*x(d). Let i(t) = -3*t**2. Calculate i(y(l)).\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mssssmmsmmmssmmsmss. Give prob of sequence mss.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 - -0.07. Let a = 0.13 + p. Let x = -0.03 + a. Which is bigger: 0.2 or x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 35, -2, -3, -0.26, -3\/2, -4\/3?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 962774.1 kilograms?\nAnswer: 962774100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1060856 is divided by 265214.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259440 is divided by 352?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -2 + 3 + (17 - (38 - 27)) + 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -5. Put 2, 1, u in ascending order.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(-1\/46)\/(l*l**(1\/3))**(-35) assuming l is positive.\nAnswer: l**(6449\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -3184 = -3183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2553 - -446602?\nAnswer: 444016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/(-8) + 1 - (-5268)\/24 is divided by 62.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 3*l**2 + 1\/6*l**4 - l**3 + 0*l + 0. List the prime factors of d(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 0 - 6*z**2 - 7.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 1926179?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.5*-2.8997.\nAnswer: -79.74175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -284, -3, 62\/3, -5\/3, 4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 15*m**2. Determine r(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times -93.4?\nAnswer: 2802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -2.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291640 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) - 6*sqrt(95)*-2) - sqrt(95))\/sqrt(80)*1.\nAnswer: -13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 97 = b, 38*b - 39*b = 2*j - 66. What is the remainder when j is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, v: 1, o: 2}. What is prob of picking 2 o and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -113130?\nAnswer: -113121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by (2 + -1)*(32 + -13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -867663132759?\nAnswer: 867663132758.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13765294900 rounded to the nearest one million?\nAnswer: -13765000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 17*j**2 + 2209*j - 33903. Calculate c(15).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 216 + -153. What is the least common multiple of 913\/154*7 - (-46)\/92 and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 35*k + 455 = -c, -k + 5*c = -75. What is the smallest common multiple of 1142 and k?\nAnswer: 28550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18525564931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*h + 12 = 0, -4*z = -5*h + 2*h - 19. Solve -3*v - 4 = -z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*y - 116, -2*i + 0*i + 5*y + 43 = 0. Suppose -12 - 660 = -28*w. Are w and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 322172 - 142614. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 1 - (14 - (25 - 11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*11\/(-594)*2. What is the second smallest value in 422, m, -0.6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -118, 34, 30?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -928069\/14 + 414289\/6. Let j = k + -2757. What is the common denominator of j and -62\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 3\/4, -96, 1538, 3?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-1 + sqrt(405) + sqrt(5))**2*-6 + -2 + sqrt(30)\/(sqrt(24)\/sqrt(4)) + sqrt(55)\/sqrt(176).\nAnswer: -32 + 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.03859943 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -38574744 >= -38574752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 137093441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-348)\/420 + -3 + 17\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymymmmyyymymmymmymy. What is prob of picking 2 y?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*p + 8 - 183, 3*p + 5*s - 160 = 0. Suppose t + 3*o - 12 = 0, 2*o = -0*t + 2*t - 40. Calculate the highest common divisor of p and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 4227837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25533 + 79941064\nAnswer: 79915531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 231 - -4?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjqqqqjj. Give prob of picking 3 q and 1 j.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 177\/(-2189) - (146\/(-1122) + 7674\/195687)\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 200 times 0.1\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 3. Let x be b(-12). Let k be (-1 - 0)\/((-3)\/x). What is the common denominator of 458\/(-24) + k\/20 and -79\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 4*h - 4*m, 0 = 3*m - 1333737 + 1333719 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 2*o + 28 - 5\/8*o**3 - 1\/32*o**4 - 3*o**2. Determine n so that y(n) = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.53232 rounded to 1 dp?\nAnswer: -90.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**2*s**2 - 2*l*s**3 - 38*l*s + 899*s**3 - 1 wrt l.\nAnswer: -2*l*s**2 - 2*s**3 - 38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-1) + -5 + 6. Let g(z) = z - p + 31 - 10 - 12 + z**2. Let n(a) = -a**3 - 2*a**2 - a - 3. Determine 3*g(y) + 2*n(y).\nAnswer: -2*y**3 - y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/(-28) + 36\/42. Solve -o = -3*t, v*o - 3*t = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 = -2*x, 2*x + 5*j + 4 = 19. Suppose 4*q + 22 = 6*q + v, x = -4*q - 4*v + 44. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/13016 and 53\/4853.\nAnswer: 63166648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 23*x = -4*x + 26. Let l(p) = p**2 + 3*p + 2. Let j be l(-2). Let f = x + j. Let y(t) = 10*t. Calculate y(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4403 - -4402. Let o(z) = -z**2 + z - 1. Let s(b) = 30*b**3 + 30*b**2 - 30*b + 30. Give c*s(k) - 30*o(k).\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/((-7)\/(-14)). Let j be (0 + -3)\/(n\/(-4)). What is the smallest value in 4, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/2013 and -89\/16104?\nAnswer: 16104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n + 5*z + 295, 0 = 4*z - 20. Let f be (3\/9)\/((-12)\/(-9))*52. Suppose 0 = -49*t + 48*t + f. What is the remainder when n is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 34*g - 92. What is the least common multiple of r(30) and 6 + 2 + -5 - -15?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 - (17 + -18 + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151*q**4 - 9859*q**2 - q + 477294.\nAnswer: 1812*q**2 - 19718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence att when three letters picked without replacement from {t: 5, x: 1, a: 3, k: 1, h: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 3024954 - 3*x**2 + 3024954.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 3:50 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l - 22 = 128. Calculate the least common multiple of 9 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*r + 29, -4*i = 2*r - 34 - 0. Sort -5, i, 4 in ascending order.\nAnswer: -5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9067.2 rounded to the nearest 100?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1123, 2252, 3381, 4510, 5639?\n\"Answer: 1129*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 435 - 551045?\nAnswer: -550510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1514*j - 4327*j - 1870*j + 1 + j + 2 - 2 + (-3 + 4 + 1)*(6*j - 3*j - j).\nAnswer: -4678*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731 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: Suppose 13582 = 10*s - 2768. Calculate the greatest common factor of 218 and s.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 377638?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281612 is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74130? (a) -187 (b) -1\/2 (c) 5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/41, -30\/7, 24?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0 - 2\/(-1). Suppose 0 = 3*x + 2*g + v - 4, 5*g = -2*x - 17. Let n(r) = 0*r + x*r - 3*r - 10*r**3. What is n(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2082, 2085, 2100, 2133, 2190?\n\"Answer: l**3 - 4*l + 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80213500771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*f**2 + 11*f**2 + 4 - 6*f - 2.\nAnswer: -32*f**2 - 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 - -0.8. Let k = m - -5.8. Let w be -12 + -2*5\/20*-14. Which is the nearest to 1? (a) 2 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*x + 373187 - 35267. What is x rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(60\/9))\/((-1)\/4). Sort -1, i, -8, 5.\nAnswer: -8, -1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(99) + sqrt(11))*-1)**2 + -4)*2.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 3*b**6\/40 + b**4\/8 + b**3\/2 + 36*b**2. List the prime factors of c(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/280 and -139\/350.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 5*i + 16*i - 10*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 take away 1271513?\nAnswer: -1271375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664 + 194 = 219*f - 252*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 95?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 6\/11 (c) 2\/17 (d) -12861\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f. Let s(x) = 12*x - 11*x - 42 + 13. Calculate s(u(i)).\nAnswer: 3*i - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -24*v**5\/5 + 23*v**4 + 308*v**3\/3 + 16*v**2 - 48*v - 2562. Let k(u) = 0. Calculate u.\nAnswer: -2, -1\/2, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:28 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 m when three letters picked without replacement from myysmiyyyuymm?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 q when four letters picked without replacement from qqrrqqqrqrqrq?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*f - 37 = 29, 5*t - 3*f - 73 = 0. Suppose 0 = -q + t. Calculate the remainder when 39 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 - (1 + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-1))\/((-9)\/(-192)). Let d be (o\/(-8))\/(-6) - 4. Is d at least as big as 2\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 23 = 73 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3 + 221618*h**2 + 6139871248*h + 30693816040 = 0. What is h?\nAnswer: -55402, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1664 and -1661 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3818 and -67\/12.\nAnswer: 22908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 457600 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 377 - 381. Let m = 0.01 - 5.01. Which is the closest to 1\/2? (a) m (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28348 + 28348 - 15*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -5355 and -5355 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 18 + 32. Suppose 0 = 8*u - c*u + 6. Solve -f + 16 = u*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (84\/(-35))\/(-6) + (3 - 76\/40). Which is the closest to 0? (a) -1 (b) -0.5 (c) f (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78872052 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/(9702\/(-33957))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585669.2 kilometers to micrometers.\nAnswer: 585669200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 39*d**2 - 7*d + 8. Is 6 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - -22. Let t = f - 56.4. Which is the second smallest value? (a) -0.5 (b) t (c) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5*-1*sqrt(68))\/(1*sqrt(196)) + (-3*sqrt(1377) - sqrt(17)) + sqrt(1088) + -1)**2.\nAnswer: 540*sqrt(17)\/7 + 619748\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 43.87 + -211\nAnswer: -167.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 5 (c) 592\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-20)\/((h**(2\/127)*h)\/h) assuming h is positive.\nAnswer: h**(-2542\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6853931 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/(((-25)\/5)\/75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1155*b - 6928. What is the least common multiple of 1034 and f(6)?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czzr when four letters picked without replacement from kekkzzrkcree?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a - 10. Determine n(9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 542430 - 11324?\nAnswer: 531102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13397 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 27178\/535 + -66\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, 0.1, -12\/79?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10164 and 95308?\nAnswer: 242177628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120332300033 + -11?\nAnswer: -120332300110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 5)\/(3\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 27, -5.\nAnswer: -5, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8852425.\nAnswer: 5, 354097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3629589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1315 - -1315. Let b(p) be the first derivative of k*p**3 + 13\/2*p**2 - 8 + 4*p**4 + 0*p. What is the second derivative of b(u) wrt u?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1728 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 34, 58, 86, 118, 154?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1794 - 2559 = 255*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*v + 75 = 7*v, 0 = -2*u - 2*v + 50. Let w(o) = -7*o - 3. Let h be w(-4). Let y(n) = -2*n + h - u. Let f(j) = -2*j. What is y(f(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 327.621872 to one dp.\nAnswer: 327.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1.3, -5, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/40 and -33\/2428.\nAnswer: 24280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6*(5\/165)\/((-2)\/(-8)*-4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/263 - -787\/526. Factor q**3 + 1\/2*q**5 + 3\/2*q**4 - 1\/2 - f*q - q**2.\nAnswer: (q - 1)*(q + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753148916?\nAnswer: 2, 13, 673, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5466144 divided by -6.\nAnswer: -911024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29510 is divided by 53.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12070719 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 89 (b) 50 (c) -0.6 (d) 0.4 (e) -0.2 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.2. Let f = -260 - -111.3. Let k = -150 - f. Which is the third biggest value? (a) k (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -2\/5 (b) -1\/2 (c) 0.5 (d) -5 (e) -204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1668)\/(-27) - 0 - (-20)\/90?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4746576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -20 - (2151 + -2135).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 469d7 (base 14) to base 7\nAnswer: 1314460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68100.\nAnswer: 2, 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5040 and -19\/909.\nAnswer: 509040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {g: 2, z: 5, d: 4, k: 2, n: 1}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g\/(g**28\/g*g)*g))**41*g**(-3\/7)\/((g\/(g\/(g*g\/(g**35\/g*g)*g)))\/g))**(-10\/13) assuming g is positive.\nAnswer: g**(-74030\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1005*v + 1011*v + 36 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4566 * 50.\nAnswer: 228300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4214 - -21987. What are the prime factors of k?\nAnswer: 7, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 52*w - 112. What is h(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/26384 and -41\/104448.\nAnswer: 10131456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6803 and 0.15?\nAnswer: 6803.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122157.\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9391467 divided by 3130489?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**5 - 14827*r**3 - 74527*r**2 wrt r.\nAnswer: 120*r**2 - 88962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 34262*v**2 + 4. Let k be b(2). Let i = k + -23052. What is i rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 29 - 3*a**3 - 2*a - a in the form i*a**3 + n*a + l + w*a**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*m**3 - 9*m**3 + 57*m**3)*(2 + 2 - 6)*(5 - 2 - 7) to the form u + k*m + w*m**3 + j*m**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000520996054 to six decimal places.\nAnswer: 0.000521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 888629 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 7*t**2 + 1 + 6*t**2)*(4 - 23 - 5)*(-6 + 4 + 3) to the form k + h*t**2 + w*t and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 1, a: 1, g: 1, x: 1}. What is prob of picking 1 g, 1 e, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 15 = -0. Let p(a) = -a**2 - 12*a + 18. Let z be p(-14). Let j be (2 + -1)\/((-2)\/z). Solve 5*s - 3*x + l = -2, -j*x = 4*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 774067 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 4*l. Suppose z + z - 4 = l. Is 7 a factor of (-2 + 0 - z)*-7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-31)\/((r**(-14\/9)*r)\/r))**(1\/52) assuming r is positive.\nAnswer: r**(-265\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -2404\nAnswer: -4\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -22*w**3 - 76*w**3 + 8*w - 13490 - 6*w**2 + 13482. Let l be h(-23). Round l to the nearest 10000.\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.01 and 0.3.\nAnswer: 6.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from tqeee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 6 + 1 = -h, -3*d + 5 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 - 2*x**4 + x**4 + (0 + 1 - 2)*(-1 + 1 + 3*x**4).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 497.\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/18 and -49\/3384.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**2. Let q be 6*((-15)\/10)\/(-3). Let j(h) = 4*h + 6. Let f = 19 - 14. Let x(c) = -7*c - 10. Let g(l) = f*j(l) + q*x(l). Give u(g(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 + 113?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**3 + 4*f + 4. Let o(h) = 7*h**3 + 5*h + 5. Let d(u) = 5*o(u) - 6*w(u). Let s(l) = l**3 - l**2 + l + 1. Give -d(v) + s(v).\nAnswer: 2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**4))**(-30) assuming q is positive.\nAnswer: q**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -b22?\nAnswer: b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u**2 + 3*u**2 - 3*u**2 + (0 + 0 - 2*u)*(5*u - 3*u - 4*u) - 4093*u + 2044*u + 2142*u + 6*u**2 as b*u**2 + q + j*u and give j.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135159*h*z**2 - h*z + 23263*z wrt z.\nAnswer: -270318*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(216) + sqrt(216)*2)*3)\/((sqrt(100)*2*1)\/sqrt(2)).\nAnswer: 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*s = -28, 6*c - 3*c - 3*s = 18. Suppose 0 = 3*z - 7*z + 4. Solve -c = -2*x + z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6670 - 6669.91578. What is m rounded to three decimal places?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*b = 14 + 13, 3*b = -3*g + 27 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - -0.01. Let y = b - -4.03. Let c = y + -3.9998. Round c to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14577*s**3 + 775486 - 394384 - 394018 wrt s?\nAnswer: 43731*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**(-2)*p))**16\/(p*p**(-3)*p*p*p*p*p*p*((p*p**(-2\/3)*p*p)\/p)\/p) assuming p is positive.\nAnswer: p**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 220, 334, 448, 562?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*k + 376 - 311 = 1180 + 326 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)\/(f*f**(2\/7))*f**6\/f**3*(f**(2\/7))**(-39\/5)*((f*f**6*f*f)\/f)\/(f*f*f**(-2\/7)) assuming f is positive.\nAnswer: f**(97\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(3 - (1 + 4)). Let j be (-54)\/l + 0 - (-7)\/(-28). Is j > -62\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 7, l: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/18829 in -0.5, -12, 5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 446 and 40363.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/4 + 7\/(-28). Solve -5*p + y + y + 19 = 0, -4*p = 2*y - n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41909.\nAnswer: 7, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2. Let x(n) = -7*n**2 - 5*n + 4. Let s(w) = 4*d(w) - x(w). Let r be s(1). Solve -3*a + 6*a - r = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9841*i**4 + 284551 wrt i?\nAnswer: -39364*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -284.9999586 - -285. What is c rounded to six dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.12 - -3.1. Let w = 1118.8 + -1119. Which is the closest to -1? (a) z (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*h**2 - 18*h**2 + 97*h**2)*(-2 - 1 - 1).\nAnswer: -544*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.2 + 15. Let y = h + 1.1. Let w = y - -2.1. Which is the third smallest value? (a) 5 (b) w (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362.7964 hours to nanoseconds.\nAnswer: 1306067040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 389733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1648928880 take away 4.2?\nAnswer: -1648928884.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50683512 by 209436.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/(-85)*110\/(-6)*36\/(-66). What is d in -6\/5*d + 8\/5*d**h - 8\/5*d**2 + 4\/5*d**3 + 0 + 2\/5*d**5 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.45101944 - -19.28102. Let u = i + 0.17. What is u rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 953692*f - 24796668.\nAnswer: (f - 953718)*(f + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k + 6982 - 27*k + 64*k.\nAnswer: -k + 6982","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507720 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -313.5 - -0.5\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 2*l - 7*l. Suppose -3*j - 2*f + l = f, -j - 4*f = -23. Solve -4*y + 2*b + j*b = 1, -3*y + b - 9 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 + 1. Let w be h(1). Let t(v) = 8*v**2 + 2 - 3*v - 2*v**2 - 5*v**2. Determine t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*1)\/((-738)\/(-16113))*((-99)\/6)\/(-11)\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 2 (b) 1 (c) -2 (d) -0.2 (e) -782 (f) -19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 4911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65984414*c*x + 2*c + 327287*x + 6 wrt c?\nAnswer: -65984414*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/4*((-98)\/(-21) - 6). Let x(l) = -l**3 - 6*l**2 - l + 2. Calculate the remainder when y\/((-26)\/(-36) + 6\/(-27)) is divided by x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1307715045 by 3903627.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/3)\/((-12)\/18). Let k be 4\/a - (-1)\/(-2). What is the third derivative of 3*m**2 - 2*m**4 + 2*m**4 + 3*m**5 + k*m**2 wrt m?\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, e: 1, a: 1, u: 2, p: 5, b: 2}. What is prob of picking 1 p and 1 e?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b + 8. Let i(j) = -j**3 - 7*j**2 - 10*j - 38. Let k be i(-7). Suppose -2*f + k - 3 = -5*l, -3 = f. Let c(t) = -10*t - 9. Determine l*q(o) - 6*c(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 3. Let g be r(-5). Suppose g*p - 9 = -p. Let k(d) = d**3 + d**2 - 4*d - 1. Let i be k(p). Solve z + h + 1 = 0, -z = z - 5*h + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 11, g: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-6))\/(3\/9). Let o = y + 20. Suppose -4*r = -o + 4. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/52 + (-1694)\/(-26) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 + 2.7. Which is the closest to y? (a) -0.5 (b) 6 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + (-20)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/3 + 27. Let d(s) = -2*s**2. Give f(d(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14948 + 14948 + 85*i)*(1 - 1 - 7*i)*(0 - 1 + 2).\nAnswer: -595*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - h = -22, -3*p - 3 = 3*h - 24. Let k be 102\/(-14) + (-2)\/(-7). Let n = k - -17. Calculate the highest common divisor of n and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 17 + 2 = 0. Suppose d + v*k - 6 = 0, -2*d - 5*k = -4*d - 18. Let x be 2*(-1)\/((-4)\/(-6)). Put 1, x, d in descending order.\nAnswer: 1, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*y + 106 - 933 = 883 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -2*w**2 + w + 17. What is the tens digit of g(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3*q - 17*p**3 + 70712*p**2*q - 9*p*q + 1330729*q wrt p?\nAnswer: 12*p*q - 102*p + 141424*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 312903 and 4403985.\nAnswer: 4716888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-55)\/60)\/(9\/36))\/(1\/(-9)). Calculate the greatest common factor of g and 8283.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*j, -4*c - 783*j + 260*j = -262*j - 262*j + 39 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b, 93 = 4*u - 4*b - 15. Suppose -u*h + 61 = -155. Sort h, 1, 4 in descending order.\nAnswer: h, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6449307 plus 0.1998?\nAnswer: 6449307.1998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 38\/(-171)*99?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408, -480, -536, -570, -576?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -17) + (4 - 10 - -5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9779 - -21138. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**5\/3 + 353*t**4\/3 + 1508*t**3\/3 - 220*t**2 = 0.\nAnswer: -66, -5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, s: 3}. What is prob of sequence skss?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 1, -9, -39, -95, -183, -309, -479?\n\"Answer: -r**3 - r**2 + 14*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.3, -255\/8, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*a + 5*d + 14, 5*d = 2*a - 7. Let l be a*((-6)\/(-15) + (-6)\/(-60)). Solve l*u + 2*u + 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26277 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wbwwwwbbww?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**4\/40 + 241*d**3\/30 + 732*d**2 + 1440*d - 243. Let r(k) = 0. What is k?\nAnswer: -120, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, h: 4, m: 2}. What is prob of picking 4 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 2*z**6\/75 - 3*z**5\/25 + z**4\/15 + 2*z**3\/5 - 4*z**2\/5 - 60*z + 1. Factor i(f).\nAnswer: 4*(f - 2)*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/90 - ((-46)\/6 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22680130+-6\nAnswer: -22680136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2346032 divided by -1\nAnswer: 2346032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182628.\nAnswer: 2, 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 29, 43?\n\"Answer: 14*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21918 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25053*v + 5244*v - 23038*v - 11646*v - 27*v.\nAnswer: -54520*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2811242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (3 - 8) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 0.2 (b) -1\/6 (c) 0.775 (d) -3\/13 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98720471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*y + r + 96, 3*y - 90 = -3*r. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -3*g - 1069, 3*j = g + 643. Let t = j + -150. Is 2\/5 + 7319\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*f - 37, 204*f = -k + 200*f + 21 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2025 - -23?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-15)*(-1)\/(-6). Which is the closest to 2\/3? (a) 0.4 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssscssscss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(156)\/(sqrt(48)\/(-3*sqrt(4)) - sqrt(12)))**2 + sqrt(117)\/(2*sqrt(144) + sqrt(144) - sqrt(144))*6.\nAnswer: 3*sqrt(13)\/4 + 133\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*r + 54, 5*r + 3*m - 99 = -m. Let k be 8\/32 - r\/(-4). Does 5 divide ((-8)\/(-10))\/(2\/k) - -20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 18*b.\nAnswer: 2*b*(b - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -47 - 1. Let s = -10 + a. Let g = -319 + 322. Solve 0 = 2*h + g*c - 16, s*h - 4*h + 2*c - 14 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 8*r**2 + 2*r - 5. Let v = -31 + 39. Let y be o(v). Is 9 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 354 = 4*g - 298, 5*c - 2 = -g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956971877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -10 - -2) + 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -287 divided by -10816?\nAnswer: 287\/10816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2. Suppose u + 0*u + x + 2 = 0, -3*x - 1 = 2*u. Let d = u - -8. Let h(w) = -3*w + 7*w - d*w. Determine k(h(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-764)\/(-6) + (-10)\/75*-5. Calculate the greatest common divisor of v and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 4 - 14 + 76908*v + 5.\nAnswer: 76908*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*r - 117*r - 5*k - 25, 0*k + k + 75 = -5*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7.6, -908 in decreasing order.\nAnswer: -3, -7.6, -908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2458.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 4 (c) 1\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 795 - 1487. Put 2, -3, 3, m, -1 in decreasing order.\nAnswer: 3, 2, -1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168 - 162. Let j(c) = -1 + 0 + c**2 + 6 + 8*c. Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 1698*o + 1616*o - 10634*o + 13)*(-2 + 3 + 1) as r + p*o and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/15 + (-2)\/(-6). Suppose -44 = -3*a + j*s, -5*a - 2*s = 2*s - 24. Calculate the highest common divisor of 48 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 261 and 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 1. Let v(u) = -23*u + 4. Give -j(q) - v(q).\nAnswer: 22*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-29)\/(-29))\/(-3 - (-665)\/221). Let r = 1499\/14 - u. Which is smaller: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 12 = -4*b, 0 = 4*b - 2*b + 3*y + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 97, 222, 397, 622?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*v + 205 = 83*v + 5*r, 0 = -10*v + 6*r - 310 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3879839 at least -3879836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -463*k**3*v**2 - 286*k*v**3 - 108833*v**3 wrt k?\nAnswer: -1389*k**2*v**2 - 286*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41567 and 985?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*k**3 - 28*k**3 - 1020 - 659.\nAnswer: 11*k**3 - 1679","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 > -5\/66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19 - -14)*(-8)\/10. Solve 3*n + 2 = n - r*u, -5*n + 2*u = -7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*b = -7 + 2, 3*b - 15 = 0. Solve 3*d + 3 = -2*l, d + l = -l - k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*y - 3*v, 3*y - 2*y + 3*v = -1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 17 = 2*m + 33, -m = 2*j + 9 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 10*t + 322 = 0. Solve -4*k = -g - g + 14, 3*k - 4*g = -t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.689934 - -165.691089. Let a = d - 161. Round a to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -98, -2\/37, 0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 9*m**2. Let z be b(9). Let o = z - 3. Let d(v) = -v**3 + 3*v + 3. Let w(c) = -3*c + 2*c**3 - 4 - 2*c - 1. What is o*w(i) - 5*d(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57799 and 1449.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -17*k - 7. Suppose 4*h - 58 + 18 = 0. Let q be (9\/(-6))\/(-1 - h\/(-8)). What is the units digit of w(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802058801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -530.7 - -555. Let r = q + -20.3. Which is the closest to -0.1? (a) 3 (b) -18 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0517 + 4.94822. Let u = z - 5. Round u to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1043*y - 993*y + 2 + 2092*y in the form k + a*y and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.85 - 0.15. Suppose 2*c - 3 = -r - 2, 5*r - 15 = 0. What is the nearest to -0.1 in -0.4, c, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13687 and 13687 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17908.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -0.5, 0, 0.0458?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1\/48 (c) -9\/109 (d) -16 (e) -4 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 11 + 11 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**4\/12 - 2*v**3 + 3*v**2 + 6*v. Let r be y(-12). Suppose 4*b - 5*z = 5, 33 = 4*b + 2*z + 7. Solve b*c - 1 = -r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*b)*(-2 + 1 - 1) - 3*b + 3*b - b + 481104 - 481104 - 8150*b - 3 + 3 + 2*b to a + o*b and give o.\nAnswer: -8153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 5*n + 18, 2*u = 2*n + 12. What is the second derivative of 300*o + 302*o - 598*o - 127*o**u - 2 wrt o?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q**3 + 2*q**2 - 3*q + 1. Let t be k(3). Let v = t - 595\/2. Calculate the common denominator of 4\/12 - (-74)\/48 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2860*j - 1. Let x(t) = -4*t. Calculate x(p(a)).\nAnswer: 11440*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r + 2 = 36*r. Let u(b) = 6*b**2 - 2. Let m(h) = h**2 - h - 1. Let p(s) = r*m(s) + u(s). Solve p(q) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 46. Suppose 2*w + 2*w + 11822627 = l, g = 5*w - 4*l + 14778281. Let m = w + 4265657. What is m rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let m(k) = 4*k. Let q = -8 - -5. Let g(d) = 7*d. Let a(s) = q*g(s) + 5*m(s). Give y(a(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -9 + 34. Suppose 0 = 3*b - 20 + c. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-68)\/12 + 7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*y + 82 + 42, -16 = 4*x. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 14 + (-2142)\/14 - (-4)\/(-8)*26?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. What is the smallest value in x, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(5*12\/1440)*(-8)\/(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -787, -1565, -2335, -3097, -3851, -4597?\nAnswer: -5335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7585491*l**5 - 70*l**2 + 26277*l wrt l?\nAnswer: -455129460*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 15, 1, 1\/6 in increasing order.\nAnswer: 0.1, 1\/6, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 134 = -5*j, -j - 2*x + 9 = -20. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 180*q - 178. Let u be i(-1). Solve -137 = -u*f - 153 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16737197 divided by -5.\nAnswer: -16737197\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/126*91\/(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 4*w - 122, -f - 60 = -2*w. Let j = -27 + w. Is (j\/10)\/(2\/4835) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635887849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o + 11. Suppose t + 12 = 2*w - 13, -w + 2*t = -8. Suppose 2*u = 6 + w. Is 38 a factor of m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.4 - -6.4. Let r = -18 + 91\/5. Which is the closest to j? (a) 5 (b) r (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5941469 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqeqeqeeqeeqeeeqeee. What is prob of picking 2 e?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*d - 14596 = -11876 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + f**2 - 1. Let q(b) = -2*b**3 + 3*b**2 - 3. Let c be (17 - 15) + 1*17. Suppose 17 = 6*x - c. Give x*o(a) - 2*q(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3080343980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*m - 104*m - 248*m + 96*m = 30362 for m.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 v when four letters picked without replacement from vvrvvlvvvrvlv.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1 - 2 + 0 - i - 4. Let g be y(-10). Solve -3*x = -m + 1, -2*x - 3*x - 15 = -g*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - j = -5 + 62, -3*a = -3*j - 57. Let d(h) = -15*h**2 - 1 - a*h**2 + 32*h**2 + 0*h + 2*h. Let n be (-3)\/(-2)*(-4)\/(-3). Give d(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 293, 386, 551, 812?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c = 13*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 4. Calculate the common denominator of r\/(-4) + (-109)\/6 and 55\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (38660\/(-406440))\/((-2)\/(-716)). Let h = l - 7\/2258. Let n = 380\/9 + h. What is the common denominator of n and 5\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578644496.\nAnswer: 2, 3, 11, 13, 31, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*o + 50*o - 2 = 2*r, 0 = 2*o + 3*r + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -99*c**3 + 0*c - 111*c**3 - c + 7*c**2 + 209*c**3. Determine j(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -15 + i - 3*i + 15. Let c(b) be the second derivative of -b**5\/30 + b**2\/2 - 4*b. Let r(w) be the first derivative of c(w). Determine r(o(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by 1331.\nAnswer: -108\/1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 10:41 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 - 30*w**3 - 32*w**3.\nAnswer: -68*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.5899996702 + 23.59. What is z rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -11*h**4 + 181*h**3\/6 - 103*h. What is the second derivative of n(r) wrt r?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/2 + -1 - 0. Let b be (24\/20)\/(c\/10). What is the greatest common divisor of b and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5623 times -0.051?\nAnswer: 286.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 85083 = 154*c - 86523 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + 6 + -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3076355 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013465778246 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**40*a\/(a*a**18) assuming a is positive.\nAnswer: a**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose 2*p = x*p - 225. Let z = -548 - -573. Calculate the highest common divisor of p and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13016861 a multiple of 401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 2352 (b) -140\/47 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 19*i + 53. Determine o(-5).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*z. Let s be 5 - z - (5 - 4). Solve -13 = -3*t - 5*g, 5*t - s*t + 2*g - 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, q: 4, t: 2, s: 2}. What is prob of picking 1 t and 1 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 408 (base 9) to base 2\nAnswer: 101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.7992 hours?\nAnswer: 47.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -485 + 476. Find the common denominator of (-1072)\/72*1\/10 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110 + 163 + 17*j**3 + 26*j + 9*j**2 - 271 - 8*j**2 + j**4 to the form v + i*j**4 + z*j**2 + k*j + a*j**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c**3 - 87*c**2 + 458*c + 5. Let v(j) = 4*j**3 + 44*j**2 - 229*j - 3. Let a(x) = 3*p(x) + 5*v(x). Find the second derivative of a(w) wrt w.\nAnswer: -6*w - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 6388 - 6395 + 12756. Give o(-10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*1*1 + -1 + sqrt(80) + -3 + 4 + -1)**2.\nAnswer: -16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 279*p - 3. Let m be b(1). Let v = m + -53. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 4 (c) -4 (d) 1\/103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(14)\/(sqrt(2) + sqrt(2)*2) + sqrt(7))*5*-3 + ((sqrt(168)*-3)\/(sqrt(6) - (1*sqrt(54) + sqrt(6))))**2*-5.\nAnswer: -120*sqrt(7) - 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/3)\/(18\/1242) is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1989, -3967, -5933, -7881, -9805, -11699?\n\"Answer: a**3 - 1985*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1155876 and 56?\nAnswer: 16182264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -8c9?\nAnswer: 8d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21017711 and 1287?\nAnswer: 189159399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2433 + -5?\nAnswer: -2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/7 (b) 0.1 (c) 1\/2 (d) 3 (e) 8\/3 (f) -0.5 (g) 1.035\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21210112111100 (base 3) to base 4\nAnswer: -33303231330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 2, m: 2, q: 1, i: 1}. Give prob of sequence mm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v = -51*v - 12. What is the biggest value in 2, 1\/4, v, -5\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/528 - 1\/(-4). Which is the nearest to -2\/7? (a) 3 (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpcccee. Give prob of picking 1 p, 1 c, and 2 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/n)\/(n\/(n*(n\/(n\/(n\/(n\/(n**(1\/2)*n)))))\/n)))**(-5\/6)\/(n*n**(-2\/21)*n\/((n\/(n\/(n**(-2)\/n*n)))\/n))**(-12) assuming n is positive.\nAnswer: n**(4979\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 229*n**2 - 4*n - 98. Let o(w) = w + 1. Let x(q) = -l(q) - 6*o(q). What is the second derivative of x(v) wrt v?\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 - 118*h + 74. What is f(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 12*v**2 - 11*v + 20. List the prime factors of q(14).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4 - (-3696)\/(-480)) + (27\/(-3) - -16)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -174035319 divided by 2967\nAnswer: -58657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4364)\/26184*1*-45*1.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 716124666 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 -10091, -20209, -30331, -40457?\nAnswer: -50587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttz. Give prob of sequence tt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -142. Suppose d - p = u, 5*p = -d + 72 - 17. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -216?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 517829 = 517830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110023126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**3 + 29*k**3 + 2*k**3 + 31*k**3.\nAnswer: 43*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 1888 = -26*n. Calculate the remainder when n is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4389.996271 - -4390. Round n to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**8\/336 - 2*h**7\/105 - h**6\/120 + h**5\/6 + h**4\/6 - 4*h**3\/3 + h**2 + 20. Let f(s) = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 5734005*x - 80277050.\nAnswer: 5*(x - 14)*(x + 1146815)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-22)*(1 + -15). Suppose -20 = -4*m - 4. Suppose 2*s - 3*s = -m. Sort -2, s, z in descending order.\nAnswer: s, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.52825 litres?\nAnswer: 44528.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*o*w - 332*h*w + 6*o - w with respect to h.\nAnswer: 2*o*w - 332*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-110)\/30)\/(21\/(-9) + 2). Suppose 5*x = d*x. Which is the closest to x? (a) -0.12 (b) 5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88205471 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 548*b - 19178. Let q(p) = -p + 2. Let r be q(2). Let y = 3 + r. What is the remainder when y is divided by l(35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 497934058?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 10113323?\nAnswer: 10113323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 452 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442598?\nAnswer: 2, 13, 29, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 + -2 - 7 - 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.2 (b) 0.04 (c) 0.1 (d) 2\/3 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w - 4. What is the third derivative of 5 + 3*x**w - 5 + x**2 wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 8) to base 12.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -895780 <= -895780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**2 - 17*l**2 + 2*l + 3 - 2 - 8*l**3 - 2 - 5*l**2 as t*l**3 + q*l**2 + k + p*l and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 24*d**2 - 25*d + 21. Let f be q(23). Sort -0.5, 1\/5, f.\nAnswer: f, -0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 8:07 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-3)*m*m**7*(m\/(m**(-5)*m))\/m**6 assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2880474?\nAnswer: 2, 3, 23, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 180\/175) + 0. Is -1 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + n = -2*c - 24, 3*c - n = -11. Let t(v) be the second derivative of v**3\/6 + 7*v**2\/2 - 3*v. Determine t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131145355 + -162?\nAnswer: 131145163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 806696415 divided by -17926587.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p + 28 = 0. Let n = p - -54. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 487, 590, 673, 730, 755?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53341 is divided by 276?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -f + 935, 0 = -4*f - 0*w - 4*w + 3788. List the prime factors of f.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7269 a factor of 593739189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 4, n: 3, a: 1, l: 3, i: 6}. Give prob of picking 1 l and 1 x.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2373*f + 681562 - 1363125 + 681563.\nAnswer: -2373*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmm. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 4*x**2 - 6*x**2 + x**2 + (6 - 1 - 3)*(-x**2 - x**2 + 0*x**2).\nAnswer: -5*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 - -220. What is the third derivative of -65*r**3 + 35*r**2 - 12*r**2 - 53*r + i*r wrt r?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:04 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 172 = -4*v + 6*i, 2*i = -4*v + 172. Suppose 4*o + 3 = v. Solve 0 = -4*a - 2*w - 0*w + o, 0 = a - 4*w - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/2 + (50 - 5707\/91)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68.70258ml?\nAnswer: 0.06870258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 45\/2 (b) 1.4 (c) -1 (d) 419\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65863 less than -334?\nAnswer: -334.65863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1320)\/5)\/33*33\/3?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3 + 2. Suppose 4*i - x*i - u = 1, 4*i + 25 = 3*u. What is the closest to 0.1 in -2, -5, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = -3*v - 5*b - 455, 2*b - 1 = -6*b + 14 + 9 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -236, -461, -676, -881, -1076?\n\"Answer: 5*l**2 - 240*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 25*c - 6*c - 8*x = -11*c + 33, x + 18 = -4*c - x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24399*g**3*v - 8*g**3 + 57*g**2*v + 15419*g**2 wrt g?\nAnswer: -146394*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2 - 5223*h - 10450 = 0.\nAnswer: -2, 5225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**7\/84 - d**6\/60 + d**5\/30 + d**3\/2 + 4*d. Let g(n) be the second derivative of r(n). Factor g(s).\nAnswer: -2*s*(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*m + 6*m**2 - 66*m**2 + 32*m**2 wrt m?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 1\/7, -1903, 0.4, 30, -2, -3\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314030 - 2402?\nAnswer: -321432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 + 100\/15. Suppose 0 = 4*m - r - 5. Solve m*k = 14 - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -87*t + 43*t + 43*t. Let y(d) = 0*d + 3*d**2 + 0*d + 8*d**2. Calculate y(z(j)).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(4*(sqrt(5) + (sqrt(5) - sqrt(25)\/sqrt(5)))).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 - -2. Let u = 29 - 24. Let k = u - 4.89. Sort h, 0.2, k.\nAnswer: h, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967096407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 448, 493, 538, 583?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 - -11.15. Let y = n - 6. Which is the third biggest value? (a) -2 (b) -0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*i - 15 + 7 + 6)*(-73*i - 2042*i**3 + 73*i + 1562*i**3).\nAnswer: -16800*i**4 + 960*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 879?\nAnswer: 879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/z**1)*z*z*z**(-4))\/(z**7*z\/(z**6*z)*z) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -51662174 minus -23.48?\nAnswer: -51662150.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -957 divided by 2.\nAnswer: -957\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9599, 704, 3\/8?\nAnswer: 9599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3039492.\nAnswer: 2, 3, 241, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**4 + 90*x**3 + 300*x**2 + 280*x = 0. What is x?\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 8 - 62. Calculate the remainder when 35 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 208679997\/12 + 5\/20. Round v to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0337074766108825 minus 4?\nAnswer: -4.0337074766108825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 10. Suppose t + 38 = -2*w, l*t + w + 159 = -t. Let g = t + 60. Solve -2*y - 2*y = g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 3*t - 5. Suppose 4*s + 3 = 7*s. Let c(u) = 3*u**2 + u. Let a(o) = o**2 + 1. Give s*a(n) + t*c(n).\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 + 2*u**5 - 2*u**4 + (2*u - 4*u + u)*(u**3 - u**4 - u**3) + u**5 + 0*u**4 + 0*u**4 - u**3 - 3*u**5 + 110 - u**4 - 113 + 3*u**4.\nAnswer: u**5 + 2*u**4 - u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995585.\nAnswer: 5, 83, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.831 - -22.8. Let s = -335914.0309954 - -335914. Let a = r - s. Round a to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -111, -47, 17, 81, 145, 209?\n\"Answer: 64*x - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*u + 18, 4*u - 2*u = 2*x - 18. Suppose 0 = g - 3*g - 8. What is the units digit of 3\/(g*x\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4151 times -464.7?\nAnswer: 1928969.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -63. What is the remainder when (15 - (-69)\/4)*4 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/12)\/(-47*4\/(-3102))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1373\/28 + 394\/7. Suppose 4*v - 12 = 0, -2*v = -5*k - 7*v. Find the common denominator of t and (k\/(-15))\/((-18)\/(-605)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*z + 2*z - 12, -3*z + 2*v + 6 = 0. Does z = 4\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18361.\nAnswer: 7, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 23*f**2 + 551*f - 13058. What is i(24)?\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50194 or -50191?\nAnswer: -50194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3370 + 7810 + 5960 = 13*g. What is the lowest common multiple of 10 and g?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341235 (base 6) in base 13?\nAnswer: 28481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 4*h - 5*r, 0*h = -4*h - 5*r + 23. Is (-583)\/(-6) - 2\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5294791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 111*f**2. Let t(y) be the first derivative of 19*y**3\/3 - 3368. Calculate t(z(j)).\nAnswer: 234099*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -40*u + 51*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -342 - b?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - 17*y + 95. Let l(b) = -b**3 + 8*b - 47. Give -6*j(t) - 13*l(t).\nAnswer: t**3 - 2*t + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/332692 and 63\/171712?\nAnswer: 5323072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346 is divided by 435.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 12:11 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (345\/(-25))\/3 + 5. Let m = -1.9 - -2. Let k = m - -0.1. What is the nearest to k in r, 1, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2798526 divided by 2\nAnswer: 1399263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 + 14\/(-24). Let v = -4 + 4.4. Let h = -155\/3 + 51. What is the nearest to g in -2, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 64*k - 223. List the prime factors of c(37).\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8248 (base 15) in base 7?\nAnswer: -143141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 2356*q**2 + 696192*q + 1382976.\nAnswer: 2*(q + 2)*(q + 588)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - r + 2 = -5*r, -3*m - 4*r = -23. Suppose 0 = y + m*z - 70, -z + 3*z - 148 = -2*y. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2 + 19. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284 is divided by 108.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2246 divided by -26.\nAnswer: 1123\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k - 27*k = 40*k - 722. Let q = 234 + -158. Calculate the highest common factor of k and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3912200 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -320*q**4 - 51363 + 51363 - 4*q**4 + 4*q**4 - 3*q**4 + q**4 + q**4 - 4*q**4 + (2*q + 2*q - 3*q)*(5 - q**3 - 5) + 0*q**4 + q**4 + q**4.\nAnswer: -324*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 3:38 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 5:00 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 125*f**2 - 8979*f + 77. Give x(176).\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 263229997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6111974141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8040 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 100 - 166 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-20))\/(1\/((-12)\/(-2)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 5)*(98*n - 390 + 110*n - 210*n).\nAnswer: -4*n - 780","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3416764*o**4 + 25807?\nAnswer: -13667056*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*p - 21 = -2*v, -12 = 5*v + p. Let z = -0.3 - 2.7. Let f = z - -4. What is the nearest to f in -2\/7, v, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/10694 and -61\/9.\nAnswer: 96246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 621 and 143505.\nAnswer: 3300615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27313 (base 12) to base 15\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1, 0.1, 7 in decreasing order.\nAnswer: 7, 1, 0.1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(425) + -3) + 4.\nAnswer: -25*sqrt(17) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 11*n = 0. Let x(m) be the second derivative of n + 0*m**2 + 3\/2*m**3 - 5*m. Let p(s) = -s. Calculate 6*p(q) + x(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(66)\/sqrt(54)) + ((-1 + sqrt(72) - sqrt(72) - sqrt(72)) + sqrt(8)\/sqrt(4)*-2)**2.\nAnswer: 19*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213090050 is divided by 4388.\nAnswer: 4382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:12 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((9\/15)\/(-3))\/1). Suppose -x*r + 17 = -3*t, 46 = -3*t - t - 5*r. Let m(n) = -26*n - 48. Does 31 divide m(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38005 - 11?\nAnswer: 37bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 9809?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1141\/5 + -229. Let u(t) = 4*t**2 + 1. Let o be u(-1). Let n = -0.8 - 0.2. Put o, n, m in descending order.\nAnswer: o, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/7*n**4 + 12*n**3 + 228\/7*n + 234\/7*n**2 + 75\/7 = 0. What is n?\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*k + 80*k + 1504 - 352 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = 2*s. Suppose q = 5*d + 34, -32 = -s*q + 3*d - 2*d. Solve 0 = -3*z - q + 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -913, -2012, -3113, -4216, -5321, -6428, -7537?\n\"Answer: -f**2 - 1096*f + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -296123\nAnswer: -296125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -216032 - 5?\nAnswer: -216037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119 a factor of 50853462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 191, 354, 513, 668, 819, 966, 1109?\n\"Answer: -2*t**2 + 169*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11599372*j**5 + 2*j**4 - 13980906*j + 1 wrt j?\nAnswer: 231987440*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174 by 2.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 276076\/11 - 152395261\/6072. What is the common denominator of a and 99\/40?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(2\/7)*m)\/m*m\/m**(3\/7)*m*m)\/(m\/m**(-1\/5)*m\/(m*m**(1\/8))) assuming m is positive.\nAnswer: m**(899\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*(x*(x**(-1\/9)\/x)\/x)\/x)**25\/(((x**1*x)\/x*x*x*x)**(-3\/5)*(x*x*x**1*x*x)**(3\/34)) assuming x is positive.\nAnswer: x**(-345503\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 548468855?\nAnswer: 1645406565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 811930 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -46336*z + 46327*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -15286*b**2 - 21*b + 5. Let d(o) = -3057*o**2 - 4*o + 1. Let k = -14 + 36. Let x(u) = k*d(u) - 4*n(u). Let s be x(3). Round s to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 258 - 258 + 47*s**2 + 13*s**2. Let t(o) = -20*o. What is l(t(y))?\nAnswer: 24000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50569 is divided by 232?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = 14*i - 4*c, c = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 872677161 to the power of 1\/3, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 - -1100011010110101110010?\nAnswer: 1100011010110100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/9)\/(1\/69). Let n = h + -19. Factor 0 + 1\/2*p**n + 0*p + p**3 + 1\/2*p**2.\nAnswer: p**2*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935 is divided by 225.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7723049484 and -0.2321.\nAnswer: 7723049483.7679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3583.5 - -3583. What is the third smallest value in 0.3, b, -7, -18, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/6*3\/(-8) - -3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23632 is divided by 81.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 - 6*f + 1. Let t(g) = -5*g**2 - 11*g + 1. Suppose -3*z - 27 + 4 = -m, 2*m - 34 = 3*z. Give m*y(r) - 6*t(r).\nAnswer: -3*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**2 - 7*q + 3. Suppose 2*i = -5*r - 4, r - 4*i + 14 = -0*r. Let o(s) = -3*s**2 + 3*s - 1. Calculate r*c(u) - 5*o(u).\nAnswer: u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Suppose -12 = -4*p + o. Is -1*(-91)\/(p\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 8*u - 4*u, -3 = 3*u + 3*t. Suppose -3*n + 7*n - 160 = u. What is the greatest common divisor of 100 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43679\/9863)\/(12\/21)?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c10198 (base 13) to base 14.\nAnswer: -84a363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 2*a - 1. Suppose -3*m = -2*l + 5 + 8, 28 = -3*l - 5*m. Let x(s) = s - 1. Calculate l*i(y) - x(y).\nAnswer: -y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2\/11 + 162*q\/11 + 760\/11 = 0.\nAnswer: -76, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6849*d - 828760. Give g(121).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 11 = 2*b + b, -3*k = 3. Let l = 3 + 1. Suppose b*o = 3*o + l. Solve -2*g = -o + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5412\/(-539) + (-6)\/(-147) - (-8892)\/893\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - ((-2702)\/98 + -2)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 25 = -3*a - 26, -5*a - 73 = 4*m. Let h(k) = 5*k + 63. Let s be h(m). Suppose p = 3*w + s*p - 6, -4*w + 5*p = -8. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 480 - 476. Suppose 3*q = 4*y - 30, 4*q - 53 = -m*y - y. Suppose 3*x - 229 = 2*g, 5*g = -x + 3*g + 87. What is the remainder when x is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 41 - 53 - 23*d + d**2 - 3*d**2 + d**2. Suppose -5*t - 5*b + 170 = 0, -5*b + 51 = -5*t + 261. Calculate the remainder when t is divided by k(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-3 + 1)*1). Solve 2*j - 2*v + 4 + k = 0, 3*j + 3*v = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8522281 by 6.\nAnswer: 8522281\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14731*c**3 - 39*c**2 - c + 3 wrt c?\nAnswer: -88386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 19. Is g != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4 - 2 + (-1 + 2 - 2)*(3 - 1 - 4) - 70 - 47 + 86 - 6 + 0 - 4)*(-6*w + w + 3*w).\nAnswer: 92*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1)*v)*v)\/v*v\/(v\/((v**(-2\/9)\/v)\/v)))\/(v\/(v*(v*v**(-8\/5)\/v)\/v*v)*v\/(v**(5\/3)*v)) assuming v is positive.\nAnswer: v**(-52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.381 times -3282\nAnswer: 7814.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8. Let b(t) = t + 9. Let g(s) = -6*b(s) + 7*k(s). Let c be (0 - (-3 - -2))\/1. Let f be (14\/10 - c)*5. Give g(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, -10585?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0.4, 133754, -0.004, 4 in increasing order.\nAnswer: -0.004, 0.06, 0.4, 4, 133754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - g**5 - g - 8*g**5 - 18 + 18 + (-4 + 1 + 0)*(-g**5 - g**2 + g**2) - 143 + 259*g**5 + 143.\nAnswer: 253*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10\/21 + 1\/7. Let x = -0.68 + 0.68. Let g = x + -3. What is the biggest value in b, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 11:33 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 892 + 67114*n - 892.\nAnswer: 67114*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2309 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 4*b + b + 1. Let v(z) = -z**3 + 3*z**2 - 2*z + 2. Let i be v(2). Suppose 4*d - 3*d + i = 0. Determine x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -243566, -4, 0.3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43902 + -43904.5. Which is the second smallest value? (a) 0.07 (b) 0.25 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40179 and 295.\nAnswer: 200895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.28814? (a) 3 (b) 0 (c) 1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -v - 2*j + 9, -4*j = 4. Put 3, v, 46, -5 in increasing order.\nAnswer: -5, v, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**2 + u**2 + 3*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129528 is divided by 367.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/2*(3 + -1)\/(-12). Sort 0.3, -1\/3, w, -0.4 in descending order.\nAnswer: w, 0.3, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -123038046, -123038043, -123038040, -123038037, -123038034?\n\"Answer: 3*h - 123038049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 96\/(-40))*-5. Let z(j) = j**2 + j. Let b(d) = d**2 + d - 2. Suppose 0 = 4*n + n + 5. Let u(r) = m*z(r) + n*b(r). What is u(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:25 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 88a179 (base 11) to base 15\nAnswer: 1d06d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1022.8 + -1023. Which is bigger: 1\/39 or k?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318705.3 rounded to the nearest one thousand?\nAnswer: 319000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/15 - 16\/(-6). Let u(n) be the first derivative of -9*n**2 + 1 + 8\/3*n**3 + z*n. What is b in u(b) = 0?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2208024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -10, 326, 2\/7, -2\/7, -8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*i + 10, -10059*f + 0*i + 16 = -10054*f - 4*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/18*-2*(-3)\/(-30).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:04 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 6:13 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x - 94. Suppose m + l = 2*m - 15, 3*m - 5*l = x. Calculate the lowest common multiple of 2 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v - 20. Suppose u = 1 + 5. Let p(k) = -3*k + 7. Let t(l) = u*j(l) + 17*p(l). Differentiate t(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17163516061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130 + 14?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7203 and -5?\nAnswer: 36015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -22*p - 291. Calculate c(-11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1683 - -1896. Is 213 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/3173 - 23000\/2503497. Calculate the common denominator of -14\/27 and n.\nAnswer: 7101","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11378 + 15845 - 8745)*(-3*w**4 + w**4 + w**4).\nAnswer: -18478*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + 6*j**4 + 19 + (-j + 5*j - 3*j)*(20 + 3*j**3 - 20) + 1 - 1 + j**4.\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535927148.\nAnswer: 2, 19, 7051673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 199, -0.3, -5 in increasing order.\nAnswer: -5, -0.3, 17, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -811*p + 983*p - 4177*p + 607*p - 2380*p to o*p + z and give o.\nAnswer: -5778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n**3 + 12*n**2 - 12*n + 12. Let a(y) = -4 - y**2 + 3 + y**3 + 0 + y. Calculate 12*a(u) + p(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 + 128\/(-156). Let j = 2658.2 - 2658. What is the nearest to -1 in -2, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18325\/28 >= -654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -4.6. Let z = 3.7 + f. Suppose -w - 382 = 2*w - 382. What is the closest to w in z, 29, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 11, f: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -110?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 8 - 3 - 4*s**3 + 5*s**3. Suppose 6 = -5*v - 3*u, 2*v + 4 = -3*u - 2. Determine n(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0876234 to 3 dps.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.8 (b) -281 (c) 2 (d) 0.2 (e) 816 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + a**3 + 3*a**4 + 0*a**4 - 2*a**4 + a**2 + a as f*a + h*a**4 + d*a**2 + x*a**3 + l and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*m + 3177, -50*m = 7*k - 46*m - 22113. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 38 = -17*b - 140 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 46. Let k be r(-44). Let o(y) = -3*y**3 + y**2 - y + 1. Calculate o(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282.5 - 283. What is the second smallest value in 0.3, 5\/6, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4051?\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 3*w = 24*g - 29, -3*g - 45 = -5*w for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397130?\nAnswer: 2, 3, 5, 7, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3158)\/(-118425) + ((-2990)\/(-375) - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -18*o**2 - 77*o + 21*o**2 + 11*o**2. Let v(c) = c**2 - 6*c. Give 6*d(q) - 77*v(q).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:28 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Suppose u + i*u = 8. What are the prime factors of -2 + 10\/(u + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17467 - -26?\nAnswer: 17515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -110000 (base 2) to base 10\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -19. Suppose -2*x + 5*q = -o*q - 103, 5*q = 25. Let z = x + -30. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59015 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 56*l + 11 = -59*l, -4*s + 30 = 2*l for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -139, -359, -715, -1201, -1811, -2539, -3379?\n\"Answer: r**3 - 74*r**2 - 5*r - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 20 + 4. Solve -32*s + 27*s = 3*o + 5, -3*o + j*s + 23 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -30.2 (c) -2\/19 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from pespesesssesssps.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.14, -3, -6 in decreasing order.\nAnswer: 0.14, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + (-5 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -12*i + 9. Let l be 1*12*(8 + -8 - -3). Let q(x) = -x + 1. What is l*q(z) - 4*r(z)?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.32465 years to millennia.\nAnswer: 0.08032465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.016532 nanograms to tonnes.\nAnswer: 0.000000000000001016532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and -1666908.923.\nAnswer: -1666908.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40790654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -27. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811218.\nAnswer: 2, 3, 53, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6132 - -13671. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m - 18. Let c(u) = 58*u + 138. What is -c(z) - 7*o(z)?\nAnswer: -23*z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 776822, 777206, 777590, 777974, 778358, 778742?\nAnswer: 779126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 39. Let m = z - 11. Let k = -2 + m. What is k rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/11)*z)**(1\/9)*((z*z\/(z\/z**22)*z)\/z)**(-4\/11) assuming z is positive.\nAnswer: z**(-808\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/7 (b) -7 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -3)\/((-6)\/(-3)). Solve s = 5*p - 0*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/((b**(-1\/4)\/b)\/b))\/b))\/((b\/(b*b\/b**(-1\/3)))\/b)*b**1*b**(1\/11)*b*b assuming b is positive.\nAnswer: b**(683\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-27) + -1 + 1 + -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2\/(-4) + (-10 - -161). Sort 2\/13, -5, 2, a in decreasing order.\nAnswer: a, 2, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34804893*j**2 + 10727*j - 7 wrt j?\nAnswer: 69609786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1066)\/(-4) - (-17)\/(-34). Suppose 9*j = -g + 1850. Suppose 78 = 2*w - j. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/12 + 2*m**3\/3 + 3*m**2 - 4*m + 1. Suppose -5*l = -0*l - 35. Suppose 0 = 2*z - l - 5. Give w(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-14)\/5)\/((-51)\/4080)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29 and -68\/1263.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*w = 14, 2*w + 16 = -0*k + 2*k. Suppose 0 = -5*a + o - 23, k*a + 5*o = 2*a + 3. What is the third biggest value in a, -2\/7, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*d + 3*m + 2*m, -d - 5*m = -11. Suppose -7 + d = 2*n. Let j(h) = h + 4. What is the units digit of j(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -98312 divided by 6\nAnswer: -49156\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 21 = 3*x - 2*x, -5*x - k + 87 = 0. Let n be 15\/x*42\/7. Solve 14 = -n*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-18))\/(79\/(-711)). Sort 3.5, 4, -5\/4, c in decreasing order.\nAnswer: c, 4, 3.5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17641.2 + 17641. Which is the nearest to 0.1? (a) s (b) -16 (c) 15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 240 = 590. Suppose b = -0*i + 2*i. Let u be -1 + 1 - -20*i. What is u rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 743.537t?\nAnswer: 743537000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7681 to two dps.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 3370597.\nAnswer: 11\/3370597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -463 - -832. Suppose 358 = 3*p - 4*w, -b - 14 = -3*p - w. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or -1410\/31?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195916 is divided by 5258?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -0.3, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 + (-1978)\/(-215) + (-11 - -1))*-5. Let d be (-1 + 2)*-1 + 3. Calculate the greatest common divisor of q and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**3*s**2 - 775*d**3*s - 1253*d**3 + d*s - 17*d + 2*s**2 - 2413 wrt d.\nAnswer: -30*d*s**2 - 4650*d*s - 7518*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m - 7. Let d(c) = 26*c - 36. Determine 3*d(i) - 16*r(i).\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*n + 0 + 2\/5*n**2 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -10, -5, 4, 17?\n\"Answer: 2*j**2 - 5*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*n**4 + 56*n**3 - 81*n**2 + 46*n - 8.\nAnswer: -(n - 2)*(n - 1)**2*(13*n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*y + 20, 2*a = -a + 2*y + 16. What is the greatest common divisor of 20 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.006.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/7*2\/5)\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10707 and 688.\nAnswer: 171312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(2*sqrt(20))*-5.\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + k = -60, 0*f - 45 = -3*f - k. Let z be (-1)\/3 + (-1)\/f. What is the nearest to 0 in -1\/2, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z - 3*y + 6 = 0, -5 = -5*y. Let m = 7 + z. Calculate the remainder when 16 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*(-15)\/(-105)*(-39)\/273?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8569 divided by -1061?\nAnswer: -8569\/1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*b*y**2 + 2*b*y - 2*b - 16*y**3 - 240 with respect to y.\nAnswer: -10*b*y + 2*b - 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 = -35*f + 21. Calculate the remainder when 2028 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-498)\/(-3)*3\/6. Suppose q + 74 = d. Suppose 0 = 4*p - 4*j - 160, -d = -3*p + 2*j - 32. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (19 - (15 + -3))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjppkjkrrpkrpsjk. What is prob of picking 1 r, 1 p, and 1 j?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -116882.6398 to the nearest one hundred.\nAnswer: -116900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8)*-2)\/(515\/206)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -1. Let l = 15 + -21. Let s = -6.4 - l. Which is the third biggest value? (a) w (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-27))\/((-4960)\/(-16368))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 578*p**3\/9 - 5168*p**2\/9 + 11552*p\/9 = 0.\nAnswer: 0, 76\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldrdmdllrldldllddlll. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 386 + -264. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {z: 3, e: 2, a: 5, t: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 474.06.\nAnswer: -474.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 1 = -4*y - 4*f, 4*y + 5*f = 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 1794?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232.8336l to millilitres.\nAnswer: 232833.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-78)\/(-10))\/((-1240)\/(-100) + -12). Solve 13*k + 9 = m*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047551 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/110675? (a) -1\/3 (b) 2\/193 (c) -1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -1\/3*r**3 - 3*r + 3\/2*r**2 - 2. Determine u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = 4*m - 150. What are the prime factors of 3352\/13 + m\/65?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwyqlqqwwqyyqql. What is prob of sequence wly?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-12)*6\/30)\/((-27)\/12)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7329032*o**2 + 2137*o + 2692 wrt o.\nAnswer: 14658064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.88235 kilograms to milligrams.\nAnswer: 44882350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**2 + 2154*i**3 - 2 - 1397*i**3 - 110*i - 2 + 4 wrt i.\nAnswer: 4542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*j + 123*j = 249*j - 16140 for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/21)\/((-35)\/147)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123 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 x be 18\/(-12) + (-9)\/6 + 13. Suppose 582 = -x*h + 16*h. Is 32 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 107*w**5\/30 - 25*w**4\/12 - 423*w**2. What is the second derivative of n(r) wrt r?\nAnswer: 428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83.7 + 88. Let h = 6.13 - g. Let j = -1.8213 + h. What is j rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(1216) - (sqrt(1216) + 1)) + 1 + sqrt(1216) + -2)*-6)**2.\nAnswer: -4032*sqrt(19) + 45540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/13 + -19\/39. Let j(o) = 6*o**3 - 2*o**2 + o. Let a be j(1). Let g be -1*(2\/a)\/(-1). Are g and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50d + -5?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 760209926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53899 is divided by 121.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2697*f**2 - 2701*f**2 - 16*f + 43*f + 384 + 13*f.\nAnswer: -4*(f - 16)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30769533, -30769535, -30769537, -30769539, -30769541, -30769543?\nAnswer: -30769545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126591 (base 12) to base 10.\nAnswer: 301501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 7*m - 2*m)*(-32*m + 2*m - 15*m - 2)*(-6 + 3 + 4)*(-12 + 32 - 15).\nAnswer: 1800*m**2 + 80*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1690*f**3\/7 - 3692*f**2\/7 + 2752*f\/7 - 64.\nAnswer: -2*(5*f + 14)*(13*f - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/((-3)\/9). Let n = u + 2. Suppose l = -n*s + 3*s - 7, -3*s - 4*l + 32 = 0. Solve -v - s = 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -313 + 312.99990314. What is b rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5407\/4 + -1374. Let v = 222536325\/16 - 13897058. Let r = v - 11456. Find the common denominator of r and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, a: 6}. What is prob of picking 1 v and 2 a?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 10, 11, -2 in decreasing order.\nAnswer: 84, 11, 10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1549483 - -15516999\/10. Let k = -2214 + a. Calculate the common denominator of (89\/(-11))\/(1*2) and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337 - 3.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.639335 to one decimal place.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -10 - 476. What is the remainder when 206 is divided by w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1788586421?\nAnswer: 23, 1709, 45503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247091 is divided by 255?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/11*r + 1\/11*r**2 + 324\/11.\nAnswer: (r - 18)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 6*p + 9. Give r(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.1 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 18*c + 0.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11534*w + 438. Let j(u) = 26*u - 1. Give 2190*j(y) + 5*r(y).\nAnswer: -730*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h + 3*h - 224 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197050138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.861382 months?\nAnswer: 0.04884485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 353386 divided by -11\nAnswer: -32126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3, -7*f + 3*f - p - 7 = 0. Let a(w) = -6*w**3 - w**2 + 1. Calculate a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330310033 (base 4) in base 7?\nAnswer: -4226342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -3. Let q = 1 + d. Which is the third smallest value? (a) -4 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.2 (c) 27 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + 5 + -6 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/6 - 2*g**3 - 65*g**2\/2 + 192*g. Let w be m(-4). Factor -w*j - 1 - 225\/4*j**2.\nAnswer: -(15*j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481104649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305*a**4 - 303*a**4 + 6 - 4*a + 5*a + 4*a**2 - 5*a**2 to s + v*a + h*a**4 + z*a**2 + y*a**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2647725?\nAnswer: 3, 5, 43, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 3*x**2 + 5*x)*(4*x**3 - 3*x**3 + x**3) + (34*x - 31*x**2 - 34*x)*(-x**3 - x**3 - 2*x**3).\nAnswer: 130*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 25*o**2 - 23*o + 9. Let x(n) = -n**2 - 10*n - 11. Let j be x(-8). Let u = 7 + j. What is the remainder when p(24) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 9*m - 13. Let y be d(6). Suppose -b - 4 = -2*k, -5*k + 1 = -y*b + 6. List the prime factors of (-250)\/15*b\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -74 + 79 + -19.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - ((0 - 0) + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from vvgvhvghvvhvhhgvvgv.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 73*z - 712. Let x be f(10). Solve 3 = -7*j - x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 9*k - 5*k. Let u = 35 + k. Solve 3*g - u + 19 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**4 - 4*m**4 - 5*m**4 + 2*m - 8*m**4 - 2*m**2 as f*m**4 + x*m**3 + k*m**2 + w*m + d and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6767*o**6 + 21942*o**3 - 2600*o**2 - 18588*o wrt o.\nAnswer: 812040*o**3 + 131652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.12, -0.4, -0.007, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 50 = 0. Suppose -5*m + 20 = -g*m. Let s = m + 17. Calculate the remainder when 24 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.109641 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235421666.\nAnswer: 2, 19, 1789, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -4\/3 (b) 27.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 68*u + 1146. Give a(-33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*3\/30*-15*1\/(-2)*-2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 0.4?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1101123 (base 5) to base 13\nAnswer: -87bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-12)*(1 + (-274)\/262). Are i and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -819 (base 11) to base 4\nAnswer: -33130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 3*z - 2, 4*o + 5*z + 8 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 780 + -776. Solve d - s - 1 = -0, -o*d - 5*s = 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*j - 5119438 + 744740 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:49 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**3 + 4*c**2 - 2*c - 1. Let k be i(2). Suppose -k - 35 = -2*f. Suppose -3*t = -0*t - j - f, 5*j = -15. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r + 5*c - 15 = 0, -4*r + 4*c - 12 = 0. Suppose r = -u + f - 11 + 27, f + 76 = 5*u. Suppose 3*k - 162 = -5*b, u = b - 6*b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176*o + o**4 + 10 + 115*o - 277*o**4 - 10 wrt o?\nAnswer: -3312*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3644213 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331796?\nAnswer: 2, 3, 29, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8279*f + 3*y - 1401 = -8281*f, 2858 = 4*f - 2*y. Calculate the highest common factor of 36 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5166 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 26*m. Suppose -2*l - 2 = -4. What are the prime factors of t(l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nan when three letters picked without replacement from {j: 4, w: 1, n: 3, q: 2, a: 1, r: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9557 and 3.\nAnswer: -9554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a**2 + 3. Let r be (5 + -1)*15\/20. Let c(u) = 9*u**2 + u - 4. Let h(y) = r*c(y) + 4*f(y). What is the second derivative of h(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -35.0000133. Round c to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9595000 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v**(-1\/6)\/v))\/v)\/(((v**3*v)\/v)\/v))**(-2\/23))**18 assuming v is positive.\nAnswer: v**(30\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 3*g + 2*g)*(0*g - 3*g + 4*g) + (1 - 5 + 3)*(2001 + 18*g**2 - 2001) in the form a*g + r*g**2 + t and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**3 - 5*g**2 + 7*g - 1. Suppose 5*h + 45 = 5*o, -o + 2*h + 17 = 4. Let s(x) = 11*x**3 - 8*x**2 + 11*x - 2. Determine o*s(c) - 8*m(c).\nAnswer: -c**3 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 427\/691 or 0?\nAnswer: 427\/691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1369037454?\nAnswer: 2, 3, 227, 443, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*c - 340, -4*h - 5*c + 680 = -2*c. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(96\/(-9))*2. Solve 2*a = g*z + z - 12, -5*a + 3*z - 23 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-15))\/2*(-1645)\/9212?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2367*i*r + 4*r - 377 with respect to i.\nAnswer: 2367*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (2 - 0)) + (1606 - 1584).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y)\/y**6*y\/y**5*(y**(-2\/7)*y*y)\/y assuming y is positive.\nAnswer: y**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16962 + -4107.\nAnswer: 12855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**4\/12 + 2*p + 35. Let j(h) = 47*h**2 - 1. Determine j(f(u)).\nAnswer: 47*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25603539*h**3*j**4 + 7*h**3*j**2 - 2*h**3*j - 4*h**3 - 2*h**2*j**4 + 1682*h**2*j + 8*h*j**2 wrt j.\nAnswer: -614484936*h**3*j - 48*h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 divided by 346?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4011 and -0.4.\nAnswer: -1604.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + c = -0*o - 13, 0 = -o + c + 7. Suppose -o*u + 10 = 3*u. Let k(d) = u*d - d - d - 2*d. Let w(x) = -3*x. Give k(w(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -1\/263, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6 = 2*z, -44189*c + 44193*c - 15 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (517*v + 135*v + 213*v)*(-v**4 + 4*v**4 - v**4).\nAnswer: 1730*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16697523.\nAnswer: 3, 19, 197, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.832 + 0.832. What is the third biggest value in 1.8, -3\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 4*h + 32. Suppose -3*v - 60 = -h*v. Suppose -4*f = -56 - v. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*f - 39 - 17. Let w = 9 - 6. Suppose 33 = -5*y + 4*c, y - 2*y + w = 4*c. Sort y, f, 3 in descending order.\nAnswer: 3, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9774 is divided by 2711?\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -0*k - 5*k. Suppose 8 = -4*r, -5*r = -0*s + 5*s - k. Let a be (-2288)\/(-65) + 12\/(-60). Calculate the highest common factor of a and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*w**4 - 2*a**2*w**2 + 2*a**2*w - 121*a**2 - 32572*w**4 - 2*w**2 wrt w?\nAnswer: -24*a**2*w - 781728*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1960\/13 or -151?\nAnswer: -1960\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1716 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g + 0*g)*(g + 4*g - 4*g) + 29*g - 3*g**2 - 29*g + (-8*g + 11 - 11)*(1 + 3*g - 1).\nAnswer: -29*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 351*p**3 - 5*p**2 + 10*p + 1. What is the units digit of m(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2 - 14*h + 25. Determine x(7).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 2 - 2 + (3 + 3 - 4)*(2 + 3*w - 2)*(37*w + 67*w - 31*w).\nAnswer: 440*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 + 9 - 11) - 22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164763 and 117.\nAnswer: 2141919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 79*k - 18 - 168*k + 80*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*n - 3 + 2, 0 = -2*n + 5*l - 14. Let f be -77 - 3\/1 - -4. Let t be 10\/35 - f\/28. Solve -9 = -t*a + n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045742943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:49 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -23*c - 12. Let x be d(-3). Let b = x + -43. Solve 5*o + 11 = -b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98382 + -491784\/5. Let 1323\/5 + 3\/5*q**2 + u*q = 0. Calculate q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-798)\/(-190)*(-5)\/3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4 = 14. Let n be (-1 + 0)\/(-1 + 0). Suppose f - 3 = -n. Solve -3*h - f*h + l*x = -19, -3*x + 6 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/73, -0.162, -8.\nAnswer: -8, -0.162, 4\/73, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 275*h - 1136*h - 343*h - 1058*h - 338*h - 137 wrt h?\nAnswer: -2600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285 or -286?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11212179*q**2 + 195*q + 98 wrt q.\nAnswer: 22424358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Let s(p) = 21*p - 4. Let v be s(l). Suppose 0 = -4*d - 4*c + v, 4*d - c - 38 = 27. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 651 divide 27741714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 6*a**2 + 4*a + 2. Let w be z(-5). Suppose -3*s + 23 + w = 0. Suppose -s = -t - t. Solve t*q + 0 = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 236 = 4*m, -5*v + 3500 = -9009*m + 8949*m for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -122, -223, -324, -425?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66671745300 rounded to the nearest one million?\nAnswer: 66672000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 + 63 + 55)*(-x**2 + x**2 - x**2) to the form c + u*x**2 + o*x and give u.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 50.5.\nAnswer: 10.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 465*m - 587. Is n(40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 9. Let l = -10 + 71. Let k = l - 53. Determine p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 910 divided by -455.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069824306 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2382474 to four decimal places.\nAnswer: -0.2382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - -6*(-1 + sqrt(171))) + 2*(sqrt(171) - (1 + sqrt(171))) + 1*(sqrt(171) + -1) + 5)**2 + 1.\nAnswer: -192*sqrt(19) + 10961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 + 104.0402. What is h rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10235*o**3 - 35734*o**2?\nAnswer: 61410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2544*c**2 + 4160 wrt c?\nAnswer: 5088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**4 - l**4 - 2*l**4 - 81 - 736*l**4 + 81 + (3*l**2 - l**2 - l**2)*(3*l**2 - 5*l**2 + 4*l**2).\nAnswer: -733*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v - 3*v + 2*v)*(-v**2 + 4*v**2 - 2*v**2) - 3*v**3 + v**3 + v**3 + (3*v**2 - 7*v**2 + 3*v**2)*(-2 + v + 2).\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 4*q**2 - q + 3. Let g be -1 + 4\/2*2. Let b be p(g). Solve 5*j - 35 = -b*o + 4*o, 3*j - 25 = -4*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 101, -1178, -5, 1\/5?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-88)\/(-44) - (-68)\/((-4)\/(-14)*1). Calculate the greatest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -9230120?\nAnswer: -1\/1153765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3cd94 (base 14) to base 10\nAnswer: -150854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:37 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -672753\nAnswer: 19\/672753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 778 + -521. What is the remainder when t is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*l - 752, 5*l + 2*q - q + 748 = 0. Let w(a) = 4*a**2 - 32*a + 169. Let f be w(12). Let b = f + l. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 144 - 4*a**3 + 0*a**4 + 3*a**2 - 70 - 72 + a - 23*a**4 + 3*a**3 as i*a + v*a**3 + s + r*a**4 + m*a**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) -5\/3 (c) -8 (d) -2 (e) 0.042\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85523852.\nAnswer: 2, 359, 59557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1126667*r - 2. Let g be k(6). Suppose 5*q - 104 = -2*a - 12, 3*q - 24 = 4*a. Suppose 18*w - g = q*w. What is w rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9583 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63765, -127520, -191275, -255030, -318785, -382540?\n\"Answer: -63755*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/32258, -46, -0.3 in decreasing order.\nAnswer: 1\/32258, -0.3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**6\/10 + j**4\/6 - 3*j - 2. Let w(y) be the first derivative of a(y). What is the third derivative of w(m) wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**5\/20 - 3*k**4\/4 - 3*k**3\/2 + 9*k**2\/2 - 755*k. Let u = -26 + 28. Let y(h) = -h**2 - h + 1. Calculate u*p(v) - 18*y(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 267931870 and -3?\nAnswer: -803795610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**5\/20 + p**4\/2 - 6*p**2 - 11*p - 3. Let d(w) be the first derivative of h(w). List the prime factors of d(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 32*b**2 + 3*b + 4. Let t = -11 - -23. Suppose 7*u - t = 3*u. Is l(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 785, 2\/3, -5, -1\/155?\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3774*u - 200035. What is m(53)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 36480000 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) 2 (c) -1\/5 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6522 a factor of 507537338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -361464*j**3 - j**2 - 1592424*j wrt j?\nAnswer: -2168784*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 190 = 2*x + 74, -4*w + 260 = 5*x. What is the tens digit of 5*(x\/5)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3600 divided by 144?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018909 rounded to 5 decimal places?\nAnswer: -0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4037*j - 299498. Give f(-74).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -209060, -209059, -209058?\n\"Answer: h - 209061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2\/15 + 22*w\/15 = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-18 + 4)) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**3 - 7*o**2 - 11*o + 5. Let b(a) = -5*a**3 - 7*a**2 - 11*a + 6. Let j(i) = -7*b(i) + 6*x(i). Let r be j(8). Solve -7*t + r = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -871*p. Let b(d) = -15*d. Calculate 117*b(h) - 2*t(h).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 745814 (base 9) in base 5?\nAnswer: 103201033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -787 - -797. Let b(z) = 7*z**2 - 13*z - 9. Let x(n) = -8*n**2 + 13*n + 10. Let d(q) = 6*b(q) + 5*x(q). What is the units digit of d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 4098 + f - 2052 - 52*f**3 - 2056.\nAnswer: -52*f**3 + 2*f - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 5. Determine o(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/26 - (-3275)\/23842)*8\/12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u**2 - 2 + 4*u**2 - 5*u**2)*(-4*u + 0*u + 2*u).\nAnswer: 6*u**3 - 2*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3119*b - 3118*b + 4 = 2*d, 4*d = -2*b + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*i + i = -7, -5*i = -4*j + 41. Suppose 0 = -k + j*k - 21. Calculate the remainder when 27 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.2 (c) -212.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/17, 13.4, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*m + 3*g, g + 92 = 96 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) 6\/5 (c) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -41 + (-106760)\/(-2580) + (-2)\/43. Factor -c*v**3 + 25\/3 - 35\/3*v + 11\/3*v**2.\nAnswer: -(v - 5)**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 38. Suppose 5*p - 2*v - 47 = 0, -p = -3*v - v + q. Calculate the greatest common divisor of p and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 3)\/(9\/12). Let a(x) = 3*x - 4*x**3 + x**3 + 4*x**3 - 3 - t*x**2. Let g be 44\/55 - 11\/(-5). What is a(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 145*w**2 + 43*w + 190. Is 6 a factor of z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-375)\/(-525)*(3\/5)\/3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 1. Let y(c) = -4*c**2 - 12. Determine -6*v(j) - y(j).\nAnswer: -2*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579749 take away -3044.322?\nAnswer: -1576704.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(1\/24). Let y = -14 + 18. Suppose 0*g - y*g = -n. Solve 3*a - 18 = -g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47783 < 47784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 69 = -3*v, -6*n - 176*v = 2*n - 175*v - 51 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*x*x*x**4)**(-3\/41) assuming x is positive.\nAnswer: x**(-21\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31018 + -23a?\nAnswer: -31257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 133*s - 127*s + 266*s.\nAnswer: 3*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(357)\/sqrt(252))\/sqrt(3).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/8)*z**(-6)*z**(3\/7)\/(z**4\/z))\/(z\/((((z\/(z\/(z*z**0)))\/z)\/z)\/z)*(z**0\/z*z)\/z*z**4*(z*z\/(((((z*z**(-2\/11))\/z)\/z)\/z)\/z))\/z) assuming z is positive.\nAnswer: z**(-11783\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654536773?\nAnswer: 11, 59503343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4, -2*a + 0*k + 2*k = -752. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 10\/147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:55 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-353)\/(-30)*-4 + 48\/9 + (-2765)\/525.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -260?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -469*a**3 - 4*a**2 + 186*a + 186. Give o(-1).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a663 (base 11) to base 12.\nAnswer: 36079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*u - 2 - 15*u - 9*u)*(2*u**3 + 2*u**3 - u**3) to the form h*u**3 + c + l*u**4 + t*u + v*u**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 426855*-0.11\nAnswer: -46954.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(363) - sqrt(363)) + sqrt(363))*-3)**2.\nAnswer: 52272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/84 and 32\/159.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2544 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -4\/217 (c) 2\/71 (d) -3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1547? (a) 1 (b) 0.16 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8307 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -19806 and -40.377 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3994.00020387 - 3994. Round b to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 67*z**2 - 16*z + 3. Calculate i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1852, -0.06, -3, -1\/5, -18 in increasing order.\nAnswer: -18, -3, -1\/5, -0.06, 1852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + t**2 - 7*t**2 + (2 - 2*t - 2)*(5*t + 0*t - 3*t) + (21*t + 4 - 4)*(3*t + 0*t - 8*t).\nAnswer: -114*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4632.964 * -4\nAnswer: -18531.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4\/5 (b) -2\/19 (c) 2\/87 (d) 1 (e) 7\/4 (f) -122\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times -3?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (2 - (15 + -2)). Let q(i) = -i. Let f(r) = -r + 12. Let a(u) = -f(u) + 4*q(u). Is a(y) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 2. Let t(l) = -3 - 12*l**2 - 15*l**2 - 2*l**2 - 1 + 33*l**2 + 27*l. Let v be t(-7). Determine f(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 275324\/56*6\/(0 + 3). Suppose m + 6603 = 4*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (344\/(-430))\/(14\/5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101020 (base 4) to base 8\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 + 5*j)*(167 + 63 + 23 + 172 + 37) as s*j + r and give s.\nAnswer: 2310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -283945 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(1 - 1 - 2*l) - 5*l + 3 - 3 + (-3 + 1 - 1)*(-2*l - l + 4*l).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - -1) + -1 - (14 - (-2 + 17))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -295*j - 1190. Let z be o(-4). Which is the closest to -0.4? (a) -1 (b) -5 (c) 0.14 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -59*j**2 + 1003*j + 5023. What is g(-5)?\nAnswer: -1467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80957114*z - 313521647 wrt z.\nAnswer: -80957114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 113121 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3) + 4 + sqrt(1377) + -1.\nAnswer: 3 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8526*j = 8534*j + 128 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*j = -3279 + 4839 + 4704 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1255*g**3 + g**2 - g - 2. Let b be (-4)\/3 - (-2)\/6. Is s(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 2 t when four letters picked without replacement from {l: 4, r: 3, p: 4, t: 4}.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19399 + 63055 = 34*y. List the prime factors of y.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*t = -t + 448, 4*t + 198 = 2*c. Let g be (-1089)\/(-15) - 4\/(-10). Let j = c - g. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**7\/120 - 19*u**5\/120 - 2*u**3 - 19. Let p(f) be the third derivative of i(f). Find the second derivative of p(x) wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5482008 and 113538.\nAnswer: 696215016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*m + 32, g + 5*m + 24 = 40. Calculate the remainder when 91 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-10)*(-200 + 5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/20*(49\/28 - -2). Are b and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34 + 13*z**2 + 2*z - z**4 - 4*z**2 + 0*z**4 - 9*z**2 wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/16*(-280)\/350\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o + 19. Let v(j) = 5*j - 10. Let g = -3 + 14. Calculate g*v(p) + 6*i(p).\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17877*y - 679329. Determine w(38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25446622 a multiple of 514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2000437341 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -2*d**3\/3 + 8*d - 15. Let u(n) = -n**2 + 4. Give 3*c(r) - 5*u(r).\nAnswer: -r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12*o**2 - 10 + 12*o**2 + 5*o**2 - 21*o - 38*o**2 - 5. Let r(z) = 5*z**2 + 11*z + 8. What is -6*q(i) - 11*r(i)?\nAnswer: -i**2 + 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*-4*(0 + sqrt(39)\/sqrt(3) + -1 + sqrt(39)\/sqrt(12) + 1) + -1)**2.\nAnswer: 36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 614, -75, -768, -1465, -2166, -2871, -3580?\nAnswer: -4293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38779 + -38751. Let y = -0.37 - 0.03. Which is the nearest to -2\/5? (a) -0.3 (b) g (c) y (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -3*(sqrt(1872) + -1 - sqrt(1872)))*-3)**2 + 1.\nAnswer: 648*sqrt(13) + 16930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 313448*r - 196549?\nAnswer: 313448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 270 divided by -270\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2. Let n(x) be the second derivative of 0 + 0*x**3 + 1\/6*x**4 + x + 0*x**2. Determine c(n(s)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84780 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1 - sqrt(153)) + 2.\nAnswer: -6*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75918 or -75917?\nAnswer: -75917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4546 times 1?\nAnswer: 0.4546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02152 - -8.93848. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 - 407*o - 20685. Calculate y(-37).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2531545 and 0.0948501.\nAnswer: -2531544.9051499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2838 to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305092966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3) - 14\/(-21) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 17 + -21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**5 + 36152*u**4 - 81685444*u**3 = 0.\nAnswer: 0, 4519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7\/5, 3\/8, 62?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 32 - 32)*(-2*b + 3*b + 0*b) - 3*b**2 + 0*b**2 + 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/sqrt(6) - sqrt(25))*-1)\/(sqrt(55)\/(sqrt(11) - 4*sqrt(11)) + sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8439667 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 12 = -3*q, q = 3*o - 0*q + 4. Suppose 20*r - 726 + 86 = 0. Suppose -4*v + 8*v - r = o. What is the remainder when 13 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d - 36. Let i(r) = r**2 + 8*r - 9. Let c be i(d). Suppose -3*v = 4*x + 7, 0 = -5*x - v - c + 5. What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 46, 0.3, -4, -1\/149?\nAnswer: -1\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7\/5))**(-20)\/(t**29)**(-8\/3) assuming t is positive.\nAnswer: t**(316\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*k**3 + 72*k**2 - 18*k + 37685 wrt k?\nAnswer: 45*k**2 + 144*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.98731 seconds to microseconds.\nAnswer: 88987310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57420 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 12:02 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8.4 (b) 2\/5 (c) 301.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24 - 2 - (1 + -1). Suppose 4*r + 3*d = -566, 2*d = 6*d - 8. Is 7286\/h + 26\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, -5, -4\/9, 0, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2 - -3) + 1)\/(-2). Let u be 0\/2 - (-1 + x). Let v = 37 + -35. Solve o - v*o - u = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 3:30 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22666 * 3.\nAnswer: -67998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-9 + 37 - 80).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-600)\/(-4125)*(-20)\/4\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -27\/131 (c) 21.28 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275146?\nAnswer: 2, 3, 126397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*h - 845*h - 52570 = 895*h - 205135 for h.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 558150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -631, 3, -3, -2, 5 in increasing order.\nAnswer: -631, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*m + 126, -2*m + 70 - 261 = -3*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 173*b + 899. List the prime factors of m(7).\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b1 (base 13) to base 15.\nAnswer: 45e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 39*g + 145. Let h be i(27). Round h to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -7 - (10 - (-4 - 6)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -63.5, 129, 0.4?\nAnswer: -63.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233\/42 - 33\/7. Suppose 0 = -2*q + 4. Which is the nearest to -0.1? (a) i (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**8\/336 + z**6\/72 - 2*z**3 + 15*z. Let k(a) be the second derivative of l(a). Find the third derivative of k(t) wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 14*a - 522. Calculate b(16).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - 63.107. Let c = a - 45.893. Let j = 43 + c. Sort -4, 0.4, j in decreasing order.\nAnswer: 0.4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73749757.12 to the nearest 10000.\nAnswer: -73750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 2, -2\/13, -1\/278 in ascending order.\nAnswer: -2\/13, -1\/278, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863673.\nAnswer: 7, 266239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -10, -101 in increasing order.\nAnswer: -101, -10, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39542*f**3 + 84998*f**3 - 42640*f**3)*(2*f + 4 - 4 + (f - f + f)*(0 + 3 - 4)).\nAnswer: 2816*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 - i - 2. Let u be b(2). Suppose -3*y + 3 = 0, -3*k + 4*y = -u*k - 5. Let c(r) = k*r - r - r. Let v(j) = -3*j. Give c(v(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trrf when four letters picked without replacement from tftrfttfttffrt?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1239161, -1239160, -1239159?\n\"Answer: s - 1239162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 79*q**2 - 2. Let g(n) = -n**2 - 4. Let s(a) = -9*a**2 - 42. Let b(r) = -21*g(r) + 2*s(r). Determine c(b(h)).\nAnswer: 711*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -3, 369, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -470 + 331. Let l = y + 212. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4*n + 22, -5*n - 25 + 0 = 0. Let i = 5 - w. Is (-388)\/i*(-3)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1204 + 86 = 86*k. Suppose -4 = -4*h - 2*x, 7*x + 8 = 3*x. Solve h*v - k = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219540 divided by -4.\nAnswer: 54885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15563 and 175933?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 513 + 7. What is the smallest common multiple of 4 and w?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + n - 3*n + (3 - 1 + 0)*(0 + 2*n + 0) + 2*n - 4*n + 3*n + 3*n - 5*n + 0*n - 4*n + 3*n + 0*n + n + 2 - 2.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*k - 21 - 7, 0 = -3*h + 4*k - 23. Sort 5, -4, h in ascending order.\nAnswer: h, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*q + 3*q**3 to p*q**3 + t*q + g + z*q**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(30\/4)\/3. Suppose -2*h + 3 = -i, 5*h - d*i + 3*i - 10 = 0. What is the remainder when (-47)\/(-2) - h\/(-8) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**2\/2 + 10*p + 5. Let u be c(-10). Solve 3*f = 8*f - u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809987681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q - q)*(0*q + 0*q - q)*(-194*q + 24*q + 4*q).\nAnswer: -332*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 + -131. Let v be (-60)\/684*2\/(-5). Is v smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in 0.01, 0.2, -2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 4*y**2 + 27*y + 7. Give w(5).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.087 to the nearest integer.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/9, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkhh when four letters picked without replacement from {k: 2, h: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 25, 18, 9, -2, -15?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.568 - -0.468. Let l = 0 + -0.1. Which is the closest to l? (a) 1\/6 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 52572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 t when three letters picked without replacement from ttytytug.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26749, -26745, -26741, -26737, -26733, -26729?\n\"Answer: 4*i - 26753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37760 divided by 128?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000086753 rounded to 6 decimal places?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -115, -173, -233, -295, -359?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688 divided by -258?\nAnswer: 844\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163971 - 620467 = -35*p - 11*p. Is 33 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*z + 5*m, -2 = -2*z - 5*m + 13 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49293207*m**3 - m**2 + 5*m + 15267391 wrt m.\nAnswer: 295759242*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.111? (a) -0.2 (b) -3\/2 (c) 0 (d) 0.3 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b**2 + 13*b + 19. Let q(w) be the third derivative of -w**3 + 0*w - 1\/6*w**4 - 29*w**2 + 1\/20*w**5 + 0. What is -7*q(a) - 2*r(a)?\nAnswer: -a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(-3 - 40\/(-12)). Let x = -4.405 + 1.405. What is the closest to -2 in 3, l, x, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n**2 + 2*n + 24. Let i be z(8). Let o = -401 - i. Solve -17 = -5*k + 4*s, 3*k = 4*s + 8 + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9959 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8517921 years to millennia.\nAnswer: 0.0008517921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (243*o + 173*o - 346*o)*(0*o - 5*o + 2*o)*(-o - 2*o + 5*o) in the form t*o + d*o**2 + r + s*o**3 and give s.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 2*u + 2 - 3*u**3 + 3*u**3. Let z(c) = -3*c**3 - 5*c - 5. Suppose 8 = 3*m - 4. What is m*z(t) + 11*r(t)?\nAnswer: -t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80082, 160163, 240244, 320325, 400406?\nAnswer: 480487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j - 28. Let h(c) = -3*c + 9. Let s(v) = 7*h(v) + 2*p(v). Let w(r) = 2 + 0 + 3 - 4. Suppose 4 = 4*t, 4*m - t - 18 - 1 = 0. Calculate m*w(l) - s(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -3303.\nAnswer: -3302.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + 22. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6513, 6843, 7173, 7503, 7833?\n\"Answer: 330*j + 6183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 25*o**2\/2 + 254*o - 154. Let f be x(-10). Solve -2*h + r = 3*h + 11, 12 = -4*h + f*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + -1.6. Let n = 229 + -229.1. What is the third biggest value in 0.5, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5 = -11. Suppose u = c*i + 2*u - 5, 20 = -2*i + 4*u. Suppose -4*m + 17 - 9 = i. Solve -2*j + 10 = 0, 4*v - 3 + 1 = m*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-140)\/(-25))*(-11 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 245*g**4 - 2672*g**2?\nAnswer: 5880*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from memnemeggnmnnmmjn. What is prob of sequence jee?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*p**5 - 435*p**3 + 1460*p?\nAnswer: -100*p**3 - 2610*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 4264 - 4676. Let x be (r\/77 - 12) + 4\/7. What is the fourth smallest value in 23, 1\/3, x, -0.5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -3. Suppose -4*w + 2 = -2. Let j be (-4)\/2*(-1 - w). Sort j, 3, u.\nAnswer: u, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6\/5)\/(f*f\/f**26) assuming f is positive.\nAnswer: f**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-15)\/75 + 247\/10 - (-11)\/(-22) and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3827342 and 4.\nAnswer: -15309368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*o - 30 = 0, 5*l + 13*o = 16*o + 282. Solve -l*r + 8 = -5*t - 62*r, 4*r = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -138582153, -554328632, -1247239437, -2217314574, -3464554049, -4988957868, -6790526037?\n\"Answer: -y**3 - 138582157*y**2 - y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f - 2*f. Solve -f = -3*k - 0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 206407796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*1)\/(sqrt(33)\/sqrt(3)*4).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/231*(-3)\/(-9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -68 and 34621?\nAnswer: 34689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d88 (base 16) to base 4.\nAnswer: 20312020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:28 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**2 + 13*g - 11. Let m(k) = -9*k**2 - 14*k + 17. Let j(h) = -3*m(h) - 4*t(h). Give j(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2 - 2*r + 6. Let v(d) = -63*d**2 - 24*d + 72. Let o(f) = 12*k(f) - v(f). Let m(w) = -89*w - 1. Determine o(m(g)).\nAnswer: 23763*g**2 + 534*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3626*j + 3629*j - o - 15 = 0, -5*o - 79 = -16*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhh when three letters picked without replacement from hhrhhhhrhhh?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678375079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 3*p**2 - 6*p + 4. Let j be s(1). Suppose j = 6*n + 390 - 498. Calculate the remainder when 124 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 7*z + 1191 = 1101. Solve 103 = z*b + 28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169357405 and 0.3.\nAnswer: -50807221.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 165711743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142 - 132.9. Let j = -0.19 - -9.19. Let p = j - x. What is the nearest to 2\/7 in 4, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + (479 - 472).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/44*20\/15. Let r = 16\/33 + u. Let h be ((-496)\/(-620))\/((-64)\/30 - -2). Which is the second biggest value? (a) h (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.114085 * 247.\nAnswer: 28.178995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.9.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -727 + 159. Let y = 983 + o. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -4.7574 to two dps.\nAnswer: -4.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22991 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 6*p + 6. Let f be c(1). Suppose 5*l - 2*s + 4159029 = -20640973, -4*l - f*s = 19839997. Round l to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3626093275.\nAnswer: 5, 7, 20720533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 533 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13875 - 1314. List the prime factors of k.\nAnswer: 3, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {k: 2, t: 1, n: 1, o: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 259, 501, 733, 955, 1167, 1369?\n\"Answer: -5*g**2 + 257*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*q - 2 + 67*q + 67*q to u*q + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -5. Let c = -11.1 + x. Let h = 1 + -0.5. What is the second biggest value in h, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c**2 + 33*c - 3. Let z(t) = -22*t**2 + 100*t - 8. Let w(s) = 8*v(s) - 3*z(s). Let j(a) = 7*a + 6*a - 10*a. What is w(j(x))?\nAnswer: 18*x**2 - 108*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, s: 1, r: 3, n: 1}. Give prob of picking 1 i and 1 s.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)\/(f*f*f*f**(1\/17)))\/(f\/(f*f**(2\/13))*f*f**(2\/5)\/f))\/((f*f**(-2\/11))\/(f*f**0*f)*f**(-2)*f**(1\/8)\/f) assuming f is positive.\nAnswer: f**(-218611\/97240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/139 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2310 - 144 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 156\/145 - 12123\/1160. Find the common denominator of a and 25\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24068 by 4.\nAnswer: 6017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 557 - 554. Sort j, 266, 0.\nAnswer: 0, j, 266","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842589.\nAnswer: 7, 263227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, j: 7}. Give prob of sequence jjww.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**3 - 3*c**2 + 10*c - 31. Let d(l) = l**3 + l**2 + l - 1. Determine 10*d(h) - q(h).\nAnswer: 3*h**3 + 13*h**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 838551276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(180))\/sqrt(6) - sqrt(150)\/(sqrt(5)*1))\/((sqrt(70)*2*4)\/sqrt(7)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*n**2 - 79*n**2 - 86*n**2 - 85*n**2 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243343 is divided by 9012?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 1. Let s be q(-2). Which is the third smallest value? (a) -2 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h + 8*h**2 - 12*h - 10*h + 5*h**2 + 28*h - 13*h.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u + 8. Suppose 5*p + u*d - 25 = -d, -2*p - d = -11. Suppose -3*h + 33 - p = 0. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, r: 5}. Give prob of sequence rrrr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/9913 or 1?\nAnswer: 6\/9913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21244\/(-376) - 2*(-3)\/(-2)*11\/66.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 168\/2 + 6\/(-2). Suppose 3*o - 3*q - t = 0, 3*q + 5 = 2*q. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 217.0038055 - -0.9979345. Let y = j + -218. What is y rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -1\/3, -0.3, 28.1 in descending order.\nAnswer: 28.1, 6, 1, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21940315 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 15037*a + 37 + 53.\nAnswer: 15037*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*t*u**2 - 3*j*t - 12*t*u**2 + 2*u - 187 wrt u.\nAnswer: -2*j*t - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 minus 1182182808?\nAnswer: -1182182848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 77, 170, 299, 464?\n\"Answer: 18*c**2 + 3*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(55\/(-600))*(131246 + 4). Round r to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/(-3250)*(-10)\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 566915502 divided by -3\nAnswer: -188971834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6159414861 to the nearest integer?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.078403563.\nAnswer: 0.0235210689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (7 + -5 - 7) - -7 - (50 - 0)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(225\/6)*72\/520*5.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 - (42 - -15) - 105.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 967*u - 1 - 967*u - 72*u**2 in the form g + r*u**2 + i*u and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -5.\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 100.3. Let j(o) = o**3 - 5*o**2 - 5. Let q be j(5). Which is the third biggest value? (a) 5 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6 + -8 - 7\/(-8) and -101\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 600*a + 7800. Let w be k(-13). Which is bigger: w or -11746?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1666, -8.2, 3.\nAnswer: -1666, -8.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14929 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 88. Let j(s) = s - 23. Give j(r(y)).\nAnswer: y + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let o = m - -2. Suppose 3*q - 2*u - 29 = 0, -o*u + 25 = 2*q - 16. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 48 - 0. Suppose u*a - 5683 - 2129 = 0. What are the prime factors of a?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327762 is divided by 913?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 12. Let b be l(4). Suppose -2*q + 10 = b. What is the second derivative of -223*n**3 - 2*n + 223*n**q + 8*n**4 wrt n?\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173483 is divided by 221.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -2 (b) 0 (c) -2\/9 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2441726 is divided by 174409.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000628999 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2569 divided by -3.\nAnswer: 2569\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 8 - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.487993 - -0.211995. Let x = -3.1 - -3.8. Let j = x - c. Round j to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 29. Suppose -i - 5 = -j. Suppose 0 = s - 0*s - 20. Solve -s = i*v + 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 1. Let v be m(0). Let l be (-30)\/(-1)*(0 - v). Let r be 10\/l + (-43)\/(-3). Solve 5*p + r = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -6*v + 55 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmww when four letters picked without replacement from {w: 4, m: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, z: 5, k: 5}. Give prob of sequence ccz.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (1 + 2)) + 23 + -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -557306 divided by -278653.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19\/2736*-27*(2\/27)\/(-1)\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682 or -685?\nAnswer: -685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102402900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/3)\/(-5) + 56\/(-12). Let s be 7\/j + 1 - 18656\/(-265). Calculate the greatest common divisor of s and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*n + 1479, 12*g + 5*n - 14877 = 3196. What is the greatest common factor of g and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2 - (-9)\/4). Find the second derivative of -k**3 - 2*k - 3*k**3 + i*k**3 + 2*k**3 wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 382, 18, -2\/7, 1.6 in ascending order.\nAnswer: -2\/7, 1.6, 18, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t - 6 = 0. Let x(k) = k + 2 + t + 4. Calculate the remainder when 35 is divided by x(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -30?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000170640353 rounded to 7 decimal places?\nAnswer: -0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -12. Let j = 15 - n. Suppose 3*s = 3*w - 48, -20 = -w - s + 4. What is the greatest common factor of w and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (16\/24 - 0)*1926?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, z: 2, i: 5}. What is prob of picking 1 z and 3 i?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/45*(-6)\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 5*w**2 - 4*w - 1. Let o(s) = -2*s - 2. What is the least common multiple of r(-3) and o(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1562*x - 5292*x + 1 - 913*x.\nAnswer: -4643*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63387913 divided by -293?\nAnswer: -216341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43242 + 43234. Sort 5, -5, 4, -7, w.\nAnswer: w, -7, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 28 = 4*w, 8 = -a + 4*w + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 79*m + 465. Let u(c) = -28*c - 155. Let b(v) = 2*k(v) + 7*u(v). What is the hundreds digit of b(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42996671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**2*v**3 + 2*j*v**3 - 2*j*v - 12*v**3 + 1 wrt j.\nAnswer: -6*j*v**3 + 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 90038894725?\nAnswer: -90038894724.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406, -809, -1188, -1537, -1850, -2121?\nAnswer: -2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 693*i**2 - 2. Let h(r) = 5*r**2. What is h(w(m))?\nAnswer: 2401245*m**4 - 13860*m**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/6 - j**4\/12 - 17*j**2\/2 - 8*j. Let k(o) be the first derivative of g(o). What is the second derivative of k(n) wrt n?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1105031 (base 7) in base 11?\nAnswer: -93362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 + (1 - (-7246)\/(-10)). Let b = m + 1352. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*q + 244 - 8364, -10 = -5*q. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8483*x**2 - 295 + 216*x - 2621 - 8487*x**2.\nAnswer: -4*(x - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24444 and 7848.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m - 4. Let p be s(-4). Suppose 3*g + 3*l = -l + 22, -3*g - 2*l + p = 0. Calculate the greatest common divisor of g and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 3*t**3 + 10 + 2*t**3 - t - 7*t**2 - 6*t**3. Does 3 divide x(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:18 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-2*a**2 + 6*a**2 - 5*a**2) + (a - a + a)*(-8254*a - 8328*a - 6 + 16803*a).\nAnswer: 222*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x*x**3))\/(x**(-2\/9)*x\/x**(1\/5))*(x*x**(2\/9)*x*x\/((x*x**(4\/7))\/x))**(-5) assuming x is positive.\nAnswer: x**(-7192\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sstqhltp. What is prob of sequence ltht?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*i + 91*i - 228*i.\nAnswer: -396*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*o - 85, -t + 2*t - 4*o - 79 = 0. Let z = -87 + t. Solve 15 = l + z*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/6300*-35*3*1*1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/4*((-312)\/108)\/((-40)\/(-30)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10102.5 in -4, -3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -4, 1\/2, -40.614?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 5. Let f be w(-6). Suppose -5*s = -f - 9. Suppose -s*m + 0 = 4*l - 22, 0 = -l - 4*m + 16. Solve l*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4))**(-4\/5) assuming k is positive.\nAnswer: k**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*x + 3 + 10 = 0, 3*x = 4*g + 19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 7 = 2*s, 5*s + 2359*w + 8 = 1187*w + 1175*w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31420 - -16684018\/531. Which is bigger: p or -6\/19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1911364, -1911374, -1911382, -1911382, -1911368, -1911334, -1911274?\n\"Answer: r**3 - 5*r**2 - 2*r - 1911358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-20)*(-10)\/4. Let v = -6.34 - 0.66. Which is the smallest value? (a) v (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -39. Let r be 3*(2\/h)\/(8\/16). Is r at least as big as 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 961*q - 806. Let v(r) = 966*r - 807. Let y(b) = -4*n(b) + 5*v(b). Find the first derivative of y(u) wrt u.\nAnswer: 986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 + -1146440?\nAnswer: -1146512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1684 - -36\nAnswer: -1648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*h**3 - 166*h**3 - 8*h**2 + 8*h**2.\nAnswer: -207*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -451 - -454. What is the second smallest value in -5, m, 13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26109 or -0.12?\nAnswer: -26109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711004?\nAnswer: 2, 7, 67, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 62?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/10)*z**22 assuming z is positive.\nAnswer: z**(223\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33140230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 11) in base 9?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 10000101?\nAnswer: 1111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116*c - c**2 - 52*c - 57*c + 0*c**2 + (-3 - c + 3)*(-c - c + 3*c).\nAnswer: -2*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w - 130 - 132 + 261.\nAnswer: 26*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 4.6. Let b = 0.7 - m. Let x = -5.00000025 + b. Round x to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1826.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 8 (c) 0.53 (d) 3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, 21, 30, 41, 54?\n\"Answer: r**2 + 4*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11366853 divided by -3?\nAnswer: -3788951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1\/(-40)*(24\/10)\/3.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2088 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1c018a (base 14) to base 16\nAnswer: f3ede","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d - 22320 = 9*d. Let t be (d\/(-2170))\/(6\/(-14)). Find m, given that 0 + 3\/5*m**2 - t*m = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2 + 9324*i - 7244748 = 0.\nAnswer: 1554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + x - 2*x = -271, 3*i = 5*x - 167. Suppose -3*f - 107 = 223. Let p = i - f. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1651 + -1654. What is the closest to 1\/3 in 9, -0.1, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Suppose 4*v + 17 + 7 = 0. Let f(s) = -s**3 - 7*s**2 - 6*s + 6. Let h be f(v). Solve 1 = i*o + h, -k - 2*o = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -28, -71, -152, -283, -476?\n\"Answer: -2*k**3 - k**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*q**3\/7 + 1902*q**2\/7 + 8*q.\nAnswer: -2*q*(q - 28)*(34*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 679943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-18920)\/(-90) + (-4)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:44 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-576) - (-54)\/(-81)*(-5)\/(-4) and 65\/244.\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 - -68.4. Let g = 69 - y. Is g smaller than 7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 s, and 1 v when three letters picked without replacement from vsssvvvxsxd?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 715541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (37 + (-28 - 24)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {f: 3, b: 1, a: 3, q: 1, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, 3, 0 in decreasing order.\nAnswer: 3, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = -p. Let l = -6 - -5.96. Let h = 0.24 + l. Put -0.1, p, h in descending order.\nAnswer: p, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 - (-24 - -41 - 5 - 34).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 2*o - 2. What is the units digit of q(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrllvrwllrrr. Give prob of sequence rlwr.\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -9. Let j = o + 8.12. Let n = 413 - 413. Sort n, 0.4, j in descending order.\nAnswer: 0.4, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 1014*u - 501*u - 513*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1228274 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 14*o + 19. What is the remainder when 83 is divided by t(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + t = -1, 15 = -2*l - 5*t + 1. Let q(k) = -4*k**2 - 4 - l + 7. Let r(z) = z**2. What is q(r(x))?\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-5)*(629 + -1). Suppose 4*x + 3*m - 613 = 2*m, -4*x + 4*m + s = 0. What is the remainder when x is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 10*i - 5. Let y(b) = -2*b**2 - 29*b + 15. Let t(l) = -3*y(l) - 8*z(l). Give t(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = -w, 0*k + k = 5*w - 47. Suppose 2*z = -3*t + 17, -z = -0*z + 2*t - w. Suppose z*n = 12*n. Solve q = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*-3*sqrt(187) + sqrt(187)))\/(sqrt(880)\/sqrt(5) + (sqrt(11) + -6*sqrt(11)*-1 - sqrt(11))) + 4.\nAnswer: 4 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 274 (b) -2\/11 (c) -1\/3 (d) 2 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvv when three letters picked without replacement from qkvnnnqsnnsqnknvvsn?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72816081 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8*z + 36. Let h be g(13). Factor 18*y**3 + 9*y**2 + 10*y**4 + h - 101 + 5*y**2 + 2*y**5 + 4*y.\nAnswer: 2*y*(y + 1)**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6735)\/(-2694)*((-2)\/(-5))\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2057) - (1 + sqrt(2057))) + 4 - sqrt(2057)*2*2 - (4 + (sqrt(833) + (-2*sqrt(833) + sqrt(833) - sqrt(833))**2 + sqrt(833))*5)).\nAnswer: -16656 - 114*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 64, 139, 204, 253, 280?\n\"Answer: -h**3 + h**2 + 79*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13619.\nAnswer: 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 3185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -16 - s - 13 + s**2 + 1. Let u be b(6). Suppose u*k = 5 + 21. Calculate the remainder when 89 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -10.5. Let z = -4.2 + 4. Let q be 1670\/(-501) + -2*(0 + -2). Which is the nearest to z? (a) -8 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 5, 219890, -1\/2, -3\/2, 0.4?\nAnswer: 219890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -942458284995.\nAnswer: -942458284995.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/11 + 536*j\/11 - 124266\/11.\nAnswer: 2*(j - 149)*(j + 417)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 197b - 0?\nAnswer: 197b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20188 = c + 20208 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -979 - -1417. List the prime factors of i.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + x)*(3 - 3*x - 3)*(-3*x - 2 + 2) to w + q*x**3 + u*x**2 + z*x and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 13*i + 0 + 2 - 46*i + 34*i - 3. Let x(t) be the first derivative of -7*t**2\/2 + 6*t + 2. Determine 6*v(h) + x(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/((-990)\/648) + (4 + 0 - 16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgggsgsggg. Give prob of picking 2 g.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**4 - 204*b**3 + 1638*b**2 - 2580*b - 4425 = 0?\nAnswer: -1, 5, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -2, -1, 15 in ascending order.\nAnswer: -4, -3, -2, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 521, 787, 1053, 1319?\nAnswer: 1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/26216 and 19\/11.\nAnswer: 288376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31650 = -83*l + 88*l. Round l to the nearest 100.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wffowowoffof. What is prob of sequence wwof?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 497.797 plus -0.165698?\nAnswer: 497.631302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -z - 370, -3*y + 120 = -2*y - z. Differentiate -220*o**3 - 12 + 254*o**3 - y*o**3 wrt o.\nAnswer: -273*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30659507.\nAnswer: 30659507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 + 1 + 0*q + q + q**3 - q**2. Let r = 199 - 194. Let g be v(r). What is the highest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-6 - (-4 - (-7 + 6)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2. Suppose 6*s = s + 15. Let q(t) be the second derivative of 0 + 0*t**2 + t - 1\/2*t**s. Determine k(q(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-3990))\/(4\/(-10)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38485373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 4*v**2 - 4. Let p be d(3). Suppose 43*n + 8 = 44*n. Let f(l) = 4*l - p*l**2 - 19*l**3 + 10*l**3 + n*l**3 + 2. Calculate f(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11931 + -5450. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*m + 3*m = 5, -4*k + 14 = -2*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1271706.55 and 75.76?\nAnswer: 1271630.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6\/(-1))*27*68\/238?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230286.45 rounded to the nearest 100?\nAnswer: -1230300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98997 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/35 + (-80)\/(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:02 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 36 = 16. Suppose -t - 72 = -10*t. Let y(b) = -1 - 1 - 5 - 19*b**2 + 18*b**2 - t*b. Calculate y(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -397 + 39092?\nAnswer: 38695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:05 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4132*30.\nAnswer: 123960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2127 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 25*q**2 - 210*q**2 - 183*q**2 + 13 + 2*q to y*q + h + p*q**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -259, -485, -711?\n\"Answer: -226*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167 + 45. Suppose 2*y - 207 = y. Let j = y + n. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 117 = -4. What is the lowest common multiple of r and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 6, 10*j = 2*a + 5*j - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51504603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -3\/178, -8?\nAnswer: -3\/178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6380\/5655 + (-3)\/(-6)*24\/(-26)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pypyypyypp?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -16*i**2 + 120*i + 58. Give s(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k**2 + k - 1. Let y(v) = -3*v**2 - v + 1. Let h(i) = 2*b(i) - 2*y(i). Let s(p) = 24*p**2 - 9*p + 9. Determine 9*h(j) + 4*s(j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = 55*w + 325 + 397 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72007249.\nAnswer: 72007249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 59200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 377 + -141. Let u = -108 + y. Round u to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1130 + -1130.000005072. What is r rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445109394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-84)\/27 - -3)\/(5\/10). Suppose -5*a = -3*a - 8. What is the third smallest value in a, 6, h?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3602421 (base 13) in base 8?\nAnswer: -77603102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w**2 + 0*w**2 - 10*w**2)*(7 + 7*w**3 - 7) + w**5 - 7*w**5 + 4*w**5.\nAnswer: -142*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -425 (base 13) to base 5\nAnswer: -10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 17 + 19 - 10*h + 814*h**3.\nAnswer: 814*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7082 + -0.7. What is a rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3333132123 (base 4) to base 14\nAnswer: 1d34cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121279 and 585327?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001 (base 2) in base 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 50*b + 4*b**4 - 50*b)*(5*b - b + 3*b).\nAnswer: 28*b**5 - 35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236109 is divided by 21331.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) + (-5)\/10. Let x be 5*-1*(-3 - -2). Let j = -2 + 2. Put x, j, i in ascending order.\nAnswer: i, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 264\/793?\nAnswer: 264\/793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 549420 to the power of 1\/2, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 31123518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.4573 and 248229156.\nAnswer: 248229149.5427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2267 = 9*d - 8814 + 281. What is the lowest common multiple of 270 and d?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11945537 + 238989983\/20. Let s = -3964 + p. Let r = -2424\/5 + 28333\/60. What is the common denominator of r and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/15)\/(4\/12). Let n = 28.63 + -0.63. Let y = -23 + n. Which is the third biggest value? (a) q (b) -4\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 6572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2814441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**8\/1680 - a**7\/525 + a**6\/600 + 19*a**2 - a. Let p(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8528)\/3608)\/(6\/(-33))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51 + -1?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to 10727376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 - 43*k - 188. Let p be f(12). Calculate the highest common factor of 15 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1825\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((50\/15)\/5)\/3. What is the third smallest value in -4\/7, -0.5, -5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/4)*p*p\/(p\/(p*p**4))*p)**(-26) assuming p is positive.\nAnswer: p**(-403\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47125 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.2, -1, -2\/11, 0.4 in decreasing order.\nAnswer: 2\/3, 0.4, -2\/11, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 511*i**2 - 330*i + 2 wrt i.\nAnswer: 1022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 20*q - 15*q. Let z = q - 12. Solve -z*p - x + 8 = -3*x, 3*x = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2365 + -20?\nAnswer: -2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/9, -18, 0.1 in ascending order.\nAnswer: -18, 0, 0.1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62 or -25094\/413?\nAnswer: -25094\/413","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -116*d + 0*d - 2062 = 1650 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j + 4. Let s be b(3). Suppose -4*p - 36 = -2*a, -3*a + s = -0*a + 4*p. Let v be 396\/a - 8\/28. Solve 3*m + 5*t = t - v, -5*m = -4*t + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 1. Let i be t(4). Suppose -5*k - 17 = 3*x, -i = x - 0*x + 5*k. Let j = -1.1 - -0.8. Which is the closest to x? (a) -0.5 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 21 = 3*i, -11*i + 2*q = -8*i. What is the fourth biggest value in 30\/19, 0.3, i, 4, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(66)*1*4)\/(-3*-4*(sqrt(216) - sqrt(6))).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03638687 rounded to 4 dps?\nAnswer: 0.0364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 2*i + 1. Let j be q(1). Suppose 6 = -j*a - 2*o, -3*a + 2*o - 6 = 3*o. Is 1\/a - 466\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2566.64547 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - g**2 - g + 5. Let z be -5 - (-1 - 0) - (-84 - -80). Determine d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*f - 55 = -5*y, 3*y = -3*f + 12. What is the units digit of y + (2\/1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) - 6\/(-4). Let a = -14 + 14. Suppose d - z = -a*d. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25792*i + 25788*i + 5*b + 171 = 0, i + 9*b + 316 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 3}. Give prob of sequence ts.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/11 and 17\/43565?\nAnswer: 479215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-19944)\/(-11634))\/(13\/7)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7160638 or -42963835\/6?\nAnswer: -7160638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51360, -4, -3, 1.\nAnswer: -51360, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 74\/14 - (-14)\/(-49). Suppose -3*p - 4 = -r*p. Let l be 5 - (4 + (-1 - p)). Solve -l*b - b - 35 = -2*w, b = -5*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15443*k**4 + 11569*k**5 + 56114*k**5 - 15443*k**4 - k**5 + 0*k**5 + 0*k**5 + (2*k**4 + 0*k**2 + 0*k**2)*(k + 3*k - 3*k).\nAnswer: 67684*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {p: 1, d: 2, t: 3, w: 1, i: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289368.3 millennia to months.\nAnswer: 3472419600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1175 and 6893725.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3169 or -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 15*p**2 - 28*p + 18. Give m(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 11. Let w(x) = x - 1. Let j(g) = 4*w(g) - z(g). Suppose 2*l = -7 + 23. Let d = 13 - l. Let f(t) = -4*t - 5. Determine d*j(s) + 7*f(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*j**2 - 10*j**2 + 66*j - 66*j to l*j**2 + f + v*j and give l.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.4 - -12. Which is the closest to 1\/3? (a) i (b) 1\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 26. Let m(x) = 153*x. Give j(m(h)).\nAnswer: 306*h - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 229459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + 1. Let l = -0.87 - -0.47. Let g = l + -0.1. Which is the nearest to t? (a) g (b) -3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**7)\/(c\/c**(-1\/3))*c**(4\/3)*c**(-3) assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = 13*x - 16*x, 5*s + 20 = -3*x. Which is greater: s or 1\/113?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0.22, 1 in increasing order.\nAnswer: 0.22, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/4 and -43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -143 in decreasing order.\nAnswer: 3, 1, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z*z)\/z*z*z**(1\/10)*z*(z**0)**(1\/6) assuming z is positive.\nAnswer: z**(67\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**7\/840 + w**5\/120 - w**3\/3 + 3*w. Let c(h) be the second derivative of u(h). Find the second derivative of c(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 395.7 and -17.\nAnswer: 378.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 178.5941 * -0.072.\nAnswer: -12.8587752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3039 * -15.\nAnswer: -45585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10776 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: Collect the terms in 19*j**2 + 3909*j - 11*j**2 - 3909*j.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -47. Solve 5*c = 5, -y*f - 1 = -0*c - 4*c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f + 0*f - 1 - 3*f with respect to f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18982*g - 550 = 18932*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8522 divided by -3?\nAnswer: 8522\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166218.\nAnswer: 2, 3, 13, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 13) in base 8?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33034, -132112, -297228, -528370, -825526, -1188684, -1617832, -2112958?\n\"Answer: 2*z**3 - 33031*z**2 + z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 194*z**2 - 27*z**2 - 91 - 165*z**2 + (-3*z + z + 0*z)*(3 - 2*z - 3).\nAnswer: 6*z**2 - z - 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2039.803 to zero dps.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-9))\/(4\/24). Let c = 3 - 1. Let k(n) = -2 + n + o - c*n. Let p(f) = 2*f**2. Give p(k(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5764 + -276727\/48. Calculate the common denominator of -75\/128 and y.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -4242141023?\nAnswer: -4242141020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 1, l: 1, z: 1, m: 3, o: 5}. What is prob of sequence mmuo?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.7. Let c = 0.60006 - r. Round c to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/105 or -1?\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11 = -0*q + 2*m, 0 = -2*q - 3*m. Let v = -1 - q. Suppose -4*i = -v*n - 44, 7*i = 2*i - 5*n + 85. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i - 5. Let l be i - 1 - 32\/(-2). Suppose -4*a = -5*a + 7. Solve 2*t - a*t = -3*x + l, x = 4*t + 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 9*v. Give r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 45*m**2 - 620*m - 195. What is the hundreds digit of g(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 13184*y - 13207. Give g(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120558325 divided by 19?\nAnswer: 6345175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l - 1 + 10*l + 4*l)*(6 - 3 + 0) + (0*l - 4*l + 3*l)*(-3 - 2 + 3) + 1 - l - 1.\nAnswer: 22*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4075057 and 632.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(14\/392). Suppose -24 = 2*h + u. Which is greater: h or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 547 = 5*h + 3*o, -99 = -h + 5*o - 12. Suppose 0 = 2*v + 7 - h. What is the remainder when v is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.315416 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -6\/13 (b) 10 (c) 193 (d) 3 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 134413*-0.935\nAnswer: -125676.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 2:04 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25, 5, -2021, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 9*f + 165. Let z be 4*-1*3\/(-4). Calculate the highest common factor of f and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2766780 - -0.4.\nAnswer: -2766779.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1343844838?\nAnswer: 6719224190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20643, 20642, 20641, 20640, 20639?\n\"Answer: -c + 20644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**6\/120 - v**5\/10 - 2*v**3 - 10. Let b(t) be the third derivative of c(t). Determine m so that b(m) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzqzqacqcqaacctzqqfa. What is prob of sequence tfqt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2128 and 37\/33392044?\nAnswer: 133568176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -278 - 6*d + 0*d**3 + 0*d**3 + 137 + 140 - 23*d**4 in the form b*d**2 + w + l*d + z*d**4 + n*d**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 88. Let x = 2233\/2 + -1117. Is y at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4060*u - 7575 = 4055*u. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57195649 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 20 = -6*l. Put l, -5, 3 in ascending order.\nAnswer: -5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/4 - 2*y**3 + 3*y**2 - 7*y + 1. Let n be v(-7). Suppose -g + n = -5. What is the highest common divisor of g and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 6*o + 12. Suppose 2*g - y - 49 = 0, -4*g = y - 78 - 5. What is the remainder when g is divided by z(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18764390 rounded to the nearest ten thousand?\nAnswer: -18760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -145970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624.5671 tonnes in grams?\nAnswer: 624567100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - -4.96. Let p = -0.23 + -4.07. Let c = -0.7 + p. Put c, x, -0.1 in ascending order.\nAnswer: c, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33946081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from pxppxjmojkooj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*k - 42 = 167*k. Which is bigger: k or -8\/51?\nAnswer: -8\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyah when four letters picked without replacement from {z: 5, h: 2, w: 3, y: 1, a: 2, x: 6}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*x - 43, l - 4*l = -2*x - 74. Suppose 8*r = 14*r - 1284. Calculate the remainder when r is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6680877500.\nAnswer: 2, 5, 11, 83, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.003? (a) 1\/19 (b) -7.2 (c) -3 (d) -1 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 537 + -361. What is the remainder when q is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/87 + 160\/609. What is the nearest to w in 1, 2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 3435*c + 44562. Calculate z(-13).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*((sqrt(108) + -2 + 3 + sqrt(108) + (sqrt(108) + 2)**2*-1)*-4 + 1) + -3.\nAnswer: 240*sqrt(3) + 2218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z = -2*p + 25, -32 = -4*p + 4*z. Let t be p\/(-15) + 82\/3. Let m be (-6)\/t + 0 - 0. What is the nearest to m in 2\/7, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/1801 (b) -8 (c) 3\/4 (d) -1\/2 (e) -0.1 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 0, 2, 5.\nAnswer: -1, 0, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -21, -3, 55, 171, 363, 649?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1034 - 1030. What is the biggest value in 0.4, t, -1, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*b + 508 = 15*b. Let t(g) be the first derivative of 0*g**b + 0*g - 6*g**2 + 25 + 0*g**3 - 13\/5*g**5. What is the second derivative of t(s) wrt s?\nAnswer: -156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 - (-94)\/6. Let b(c) = 4*c**2 - 3*c. Let o be b(2). Suppose -o = -u - 0*u. Calculate the greatest common factor of u and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6982300 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (25\/450*-1)\/((-12)\/36)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1771 by -54.\nAnswer: 1771\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156583839 is divided by 78291912?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 - 154662*r**2*u + 16*r*u + r + 820*u - 1 wrt r.\nAnswer: -12*r**2 - 309324*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/3)\/(4\/(-6)). Suppose -o*b + 6 = 4*a, b + 1 = -a + 4. Let k be b + 2 + (0 - 2). What is the greatest common factor of 6 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*i - 18296, -2*a + 3*i + 7320 = i. List the prime factors of a.\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pddaasaada. What is prob of picking 1 s and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**3\/l))\/(l*l**7))**(16\/5)\/((l*l**(-1\/2)*l)**(2\/29)\/(l**1)**(-1\/4)) assuming l is positive.\nAnswer: l**(-15053\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 8:22 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5375, -42963, -144991, -343679, -671247, -1159915, -1841903, -2749431?\nAnswer: -3914719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 468 = -448 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by 5\nAnswer: 101\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11397, -22808, -34219?\n\"Answer: -11411*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*o - 2*a, 2*a + 24 = -o - 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -150*c + 4498. Let u be r(30). Let y(o) = 2*o**3 - 2*o**2 - 2*o + 2. Let l(j) = 3*j**3 - 5*j**2 - 5*j + 5. Give u*l(f) + 5*y(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -57?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42.812 + 43. What is i rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r + 2*r - 3463 - 2*r**2 + 3462 in the form t*r + c*r**2 + l and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 210*i**2 + 423*i - 212.\nAnswer: -(i - 1)**2*(i + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2555 is divided by 431?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**8\/2184 + 48*t**7\/455 - 5*t**6\/26 - 28*t**5\/15 - 145*t**4\/52 - 6*t**2 - 604. Solve m(a) = 0.\nAnswer: -145, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - -158. Does 52 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l + 113. Let f be m(18). Suppose -f*o + 10*o - 2*s = 416, 2*s = -3*o + 256. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + (-12 - -15) + 26 + -24 - -25?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 96551.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/11, 0.1, 730, -60, 2, -2?\nAnswer: 730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*f + 69*f - 17*f - 16*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9330617*f**4 + 2739161*f wrt f.\nAnswer: -111967404*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -13.3. Let j = -1.43 - -1.4. Let o = -2.97 + j. What is the closest to 1 in -1, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539400 divided by -3?\nAnswer: 179800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 740*x**3 - 41*x**2 + 306*x**2 + 21*x**2.\nAnswer: 740*x**3 + 286*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, 0 = -6*v + 7*v + 2*d - 18. Suppose -171 = -27*m + v. Solve 3*u = m*u + 4*y + 4, -3*y = -2*u + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/273 or 3\/2?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 67. Suppose -q = -3*q - g, -q + 3774 = 3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*x + 37, 2*g + 26 = 4*g - 2*x. Calculate the remainder when 159 is divided by 15*g\/(108\/16).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:09 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3513 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -867\/13 - -35369\/520. Find the common denominator of a and 1\/28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2561 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c)**(-42)\/((c\/(c*c**(-2\/19)\/c))\/c**(-2\/9)) assuming c is positive.\nAnswer: c**(-7409\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -25 + 95. Let z = s - -9. Put z, 2, -2 in ascending order.\nAnswer: z, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672856656 to the nearest integer?\nAnswer: 25939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1535548581 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/26)\/((-12)\/(-208)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 d, and 1 y when three letters picked without replacement from {m: 3, u: 2, f: 1, d: 1, h: 1, y: 5}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/641 - 4497\/3205. Let s = -736 - -740. Are t and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m*r**2*t - 16*m*x - m + 20*r**2*t*x + 2*r*t*x - 2*r*t + 4*t*x wrt r.\nAnswer: -10*m*t + 40*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*k - 2\/11*k**3 - 2\/11 - 6\/11*k**2.\nAnswer: -2*(k + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 855*f + 172716. Give r(-202).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:51 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -41845906+-98857\nAnswer: -41944763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10206 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 - ((-48)\/(-88)*11 + 16)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*950 + (-5 - -4)*5?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 181 and 277197699.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x*(x*x\/(x*x\/(((x\/(x**6*x))\/x)\/x)))\/x)*x*x))*x**4)\/(x**(-2\/5))**(-2) assuming x is positive.\nAnswer: x**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.630303ml to litres.\nAnswer: 0.002630303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Let i be -5*2\/6*-1. Is t less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 950*q**2*x**5 + 5099*q**2*x**2 - 214*q*x**5 + 21*q wrt x.\nAnswer: 57000*q**2*x**2 - 12840*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13911.\nAnswer: 3, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8)\/((-5330)\/(-208))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12388, -24773, -37158, -49543, -61928?\nAnswer: -74313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422209051?\nAnswer: 3, 23, 233, 50221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 1. Let o(i) be the first derivative of -i**2 + 10*i + 93. Let a(g) = -3*k(g) - o(g). Give a(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2. Let c(b) = -22*b - 13 - 17 + 24*b - 15 + 3. Give c(x(o)).\nAnswer: 14*o**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -29*j + 6*j - 67*j. Let a(p) = -4*p. Suppose o + 3*o = 53*r - 51*r + 8, -4*o + 4*r = 0. Determine o*q(b) - 88*a(b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218 - -239. Let m be (4 - -1)*(-1 - -2). Solve l = -0*l + 4*f + 10, m*f = -3*l - v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3956 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/371532 and -87\/229996.\nAnswer: 4829916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u*u**(2\/3))\/u)**(-16\/5)\/(u**(-1\/2)\/u)**(-2\/3) assuming u is positive.\nAnswer: u**(-143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5595 equal to -5592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 4. Let c be 816\/(-442) + ((-8)\/26)\/2. Determine s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + 17 + 15 - 25 - 25*n**3 to the form u*n**4 + m + t*n**3 + y*n + a*n**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 10*n - 5*n - 5559, 3*p - 5471 = -5*n. List the prime factors of n.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120220804 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 275025667 a multiple of 2447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52514 - 7126. Let d = 45387.22918 - h. Let n = -0.77 - d. Round n to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 218, -2378, 1 in increasing order.\nAnswer: -2378, -4, 1, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbcb when four letters picked without replacement from bbccbbc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 3*g - 3. Suppose 0 - 5 = -c. Suppose c*q - 11 = -2*h, 5*q + h = q + 10. Let r be v(q). Solve -r = -7*o + 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1169948549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5186097, -5186091, -5186085, -5186079, -5186073?\n\"Answer: 6*v - 5186103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6683636013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 452 - -4. Calculate the remainder when j is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53062 and 27176.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1.4 (c) 369 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/4 - 2 - -12. Suppose s*j - 234 = 3*j. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 1 = 15. Let h be (-3*(0 - 1))\/(z + 0). Suppose 2*s - 309 = -h*j, 4*j = 4*s + j - 573. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/480 - j**4\/48 - j**3\/4 - 9*j**2 - 2*j. Let d(s) = 0. Calculate s.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(1*sqrt(78) - sqrt(78))*-6)\/(3*2*sqrt(486)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70 - -71) + -10 + 42\/(-2) + 2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -738 = 20*c + 522. Which is bigger: -67 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 11. Suppose z = 3*s + u + 3*u - 645, 5*s - 2*u - 1101 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s - 101. Let t be i(8). Suppose t*j = 22*j - 10. Let k(q) = q**3 + 3*q**2 + q. Calculate k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105525 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/96*(-3)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4072320 and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**6\/120 - j**5\/60 + j**3\/6 - 27*j**2. Let l(i) = 3*i**3 + 5*i**2 - i - 5. Calculate 5*g(d) + l(d).\nAnswer: -2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(91) + sqrt(91)) - -2*sqrt(91)*-2)\/(sqrt(42)\/sqrt(6)*-2*6)*-4.\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -12*m**2 - 24*m - 23*m + 0*m**2 + 165 - 113*m + 7*m**2 = 0.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -15. Suppose x + 20 = -6*k + 11*k, 0 = -k - 3*x + 20. What is the least common multiple of a and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 3*x - 7. Let b be 3\/5 - 508\/(-20). Suppose 0 = 4*m - b + 6. Determine j(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 10*b - 26. Determine v(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2224762 to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a meter in centimeters?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/33 in 6, 2\/15, -1\/5, -0.4, 17\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.29 (b) -0.5 (c) 871 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -15*i**3 - 17*i**2 - 5*i + 5. Let c(d) = -22*d**3 - 26*d**2 - 8*d + 8. Let h(q) = -8*b(q) + 5*c(q). What is the third derivative of h(k) wrt k?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = u + 2, -5*u - f = 2 - 18. Let m = 39 + -38. Solve 5 = 4*n - 2*l + m, 3 = 3*n - u*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -399 + 267. Let i be 160\/a - (-2)\/3. Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1620)*-2)\/(sqrt(9) - sqrt(1008)\/sqrt(7) - (sqrt(81) + -1*sqrt(81) + sqrt(81) + sqrt(81) + sqrt(81) + sqrt(81))\/sqrt(9)))**2.\nAnswer: 2880\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f + 7. Let q be i(0). Suppose -q = -3*r - 1. Suppose g + g + 13 = z, -r*g = 4*z - 22. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s. Let j = -313 - -315. Let a(p) be the second derivative of -1\/4*p**4 + 0*p**3 + 3*p + 0 + 0*p**j. What is t(a(f))?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 275 or 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-702)*9*-39?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667 is divided by 215.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/144114 and 39\/13070.\nAnswer: 941784990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p - 2*x - 25, -3*p - 3*x = -15. Suppose -4*t = -5*a + 80, -4*a - 3*t + 40 - p = 0. What is the remainder when 243\/7 + 4\/14 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*j**2 - 35*j**2 - 590*j**2 + 318*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/3912876 and -125\/7173606.\nAnswer: 43041636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, o: 10}. What is prob of picking 1 o and 1 u?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001011001000111110 (base 2) in base 4?\nAnswer: -1023020332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.9 - 0.1. Let x be 10\/(-90)*(3 - 18\/2). What is the nearest to o in -2\/3, 2, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-25) - ((-763292)\/100 + 11).\nAnswer: 2, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**5\/8 + 63*q**4\/4 + 33*q**3\/4 - 711*q**2\/2 + 2889*q\/8 + 2835\/4 = 0.\nAnswer: -5, -1, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/12 - 3*v**2 + 2807*v - 1. Let w(b) = -b**2 + 11. Let m be (-1)\/(12\/27)*4. Let a = -3 - m. Calculate a*w(i) + 11*o(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 4:28 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -462621\/7 or -66090?\nAnswer: -462621\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 7650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 21 = -5*t - 8, -4*l - 4*t = 52. Are l and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 40790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 z, and 1 w when three letters picked without replacement from wkkkzkkwkxzzkzkzkz?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907134076.\nAnswer: 2, 17, 23, 127, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6771804, -6771794, -6771786, -6771780, -6771776, -6771774?\nAnswer: -6771774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 1. Let o(t) = 6*t**2 + 4*t**2 - 3 - 2 - 3. What is -8*f(w) + o(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 2*t**2 - 3*t - 3. Let b(o) = -o**2 + 3*o**2 - 7*o**2 - 8*o + 3 + 4*o**2. Let w be b(-8). Give d(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -325039731 to the nearest ten thousand.\nAnswer: -325040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/4 - (-5)\/10. Let p = -77 - -77. What is the smallest value in d, p, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 473, -1758, -5475, -10678, -17367, -25542?\n\"Answer: -743*j**2 - 2*j + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1700) + 0 - sqrt(1700) - sqrt(1700))*3)**2.\nAnswer: -300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 10*d**3 + d**3)*(0*d - 3*d + 5*d) + d**3 - d**3 - 3*d**4 + 4 - 4 + d**4.\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l*u**2 - 12543*l*u - 24297*u**2 with respect to l.\nAnswer: 4*u**2 - 12543*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8192*v**5\/7 + 1500672*v**4\/7 + 55429728*v**3\/7 + 10357922*v**2\/7 + 646638*v\/7 + 13464\/7 = 0. Calculate v.\nAnswer: -132, -51, -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3879\/7 - 555. Which is the second biggest value? (a) 3 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16560705, -16560703, -16560701?\n\"Answer: 2*b - 16560707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 84.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6978644 microseconds in nanoseconds?\nAnswer: 697.8644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 14522*s**2 + 424*s - 424. Let k(h) = -103*h**2 - 3*h + 3. Calculate 424*k(d) + 3*y(d).\nAnswer: -106*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4*3\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -2*b + 1\/2*b**3 + 1\/3*b**4 + 1\/2*b**2 + 1\/20*b**5 + 0. What is the units digit of h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169991 is divided by 593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 10 = -4*n, 125*c = -4*n + 126*c + 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1647*l**3 - 66 - 702 - 23 - 2*l**2 - 1646*l**3.\nAnswer: l**3 - 2*l**2 - 791","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 4*b**2 - 72*b + 11165. Determine i(19).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/777?\nAnswer: -2\/777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {t: 1, a: 11, n: 2, j: 1}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -65*h - 16 + 55*h + 24 - h**2. Determine y(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2688*m - 21326 + 7886 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2261 less than 7.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -210311?\nAnswer: 210310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-90)\/27)\/((-2)\/(-3)). Let t = -31 - -34. Sort p, t, -7.\nAnswer: -7, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7117849?\nAnswer: 17, 293, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 2:48 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 0.1 (c) -7 (d) -5 (e) -0.5 (f) 173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13768646 to the nearest integer?\nAnswer: 3711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + -62. Let x = 446 - 853\/2. Find the common denominator of x and (s\/135)\/((-8)\/(-158)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(4 - 1) - -1. Suppose 22 = 3*f + 4*s, 5*f - 6 = 3*s - 2*s. What is the second smallest value in -0.1, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1277, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 148\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 7*a**2 - 8*a - 4. Let v be k(4). Let h(m) = -2 - 3*m + 4*m**2 + 30*m**3 - 20*m**3 + 4 - v*m**3. Determine h(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1\/(-6)) + 139\/(-6). Let y = -2 - r. What is the remainder when 39 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 6*p = -4*m + 934, -m + 236 = -p. What is the remainder when m is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/345)\/(((-40)\/180 - (-476)\/(-72)) + 7)?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**3 + j - j)*((2 - 1 + 0)*(-3 + 1 + 1) - 5 - 3 + 4)*(1 - 4 + 2)*(-3*j + 5*j - j) to w + a*j**3 + l*j**2 + m*j**4 + u*j and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 4*r - 41, 5*j + 309*r = 314*r + 45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 - 671?\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33669 and -0.08?\nAnswer: -2693.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7675 and 93328?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*z + 3525 - 4000 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 17*m**2 - 34*m + 88. Let t be i(-19). Let s(p) = -p**3 + 11*p**2 + 11*p + 17. Calculate s(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 5, n: 11}. What is prob of picking 1 f and 1 b?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**5 - 17*b**5 - 136*b**6 + 3*b - 11*b**2 + 0*b + 7*b**5 wrt b?\nAnswer: -16320*b**3 - 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38720473.917899937 + -38720301.9179. Let p = y + -172. What is p rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14878 take away -102.4?\nAnswer: 14980.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) -26 (d) 5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 11*o + 22*c - 170, 306*o + c = 301*o - c + 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + sqrt(80) + -3)*-1 + 3)**2 - (-3*(sqrt(80) + 1) + -3 - (-5 + 1 + sqrt(80))*5)**2.\nAnswer: -5155 + 824*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51501032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a1 + -2c?\nAnswer: -8cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -75 - 55 - -43?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6800 or 6581?\nAnswer: 6800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 697471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 607800056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1796*d**3*p**3*s - 5*d**3*p**2*s + 2*d**2*p**2*s + 2*d**2*p + 15199*d*p**3 - 2*d*p - p**3 wrt d?\nAnswer: -10776*p**3*s - 30*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0076 + 31.0076. Which is the fourth smallest value? (a) -6 (b) t (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2783 and 101\/30734.\nAnswer: 706882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 + 23*g**3 - 618*g**2 - 12240*g = 0. What is g?\nAnswer: -30, -17, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-2\/5))*v**(-3\/7))\/(v**(-3)*v**(-11)) assuming v is positive.\nAnswer: v**(461\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 5*v - 6. Let h be l(5). Let n(a) be the first derivative of -a**3\/3 - 5*a**2\/2 + 8*a + 1. Let q be n(h). Solve 4 = -q*j + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4\/8 - 1833*h**3\/2 - 2272677*h**2\/4 - 20010861*h\/2 - 357542667\/8 = 0. What is h?\nAnswer: -1213, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 10*u = 10. What is the third smallest value in u, 0, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43310 and 3050.\nAnswer: 216550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 7. Let a be p(9). Let q(y) = 13*y - 3*y**a - 13*y. Let f(l) = -2*l**2. Give f(q(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 67 - 67 - 2*w**2. Let g(x) be the first derivative of 11*x**2\/2 - 1. What is n(g(s))?\nAnswer: -242*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = -4*m - 2*i, 5*m + 4*i + 191 + 50 = 0. Let q = -19 - m. Suppose -4*v = -9*v + q. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 + 2 - 2 + 3*a**3)*(-14 - 43 + 14) to the form l*a**3 + x + b*a + y*a**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 13 - 37 = 0. Suppose t = -1, 3*t - t = 5*j - 177. Suppose 9 = 4*i - j. Solve 0 = -2*m - l, 0 = -w + 4*m + i + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35411c (base 14) to base 3\nAnswer: 10102022010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161 + 255. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465 divided by -465.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36831 is divided by 113?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/84242, -3, 7, 1\/5 in descending order.\nAnswer: 7, 1\/5, 3\/84242, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -509, -2071, -4675, -8321?\nAnswer: -13009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*d - 37, 0 = 4*d - 3*s - 47 + 15. Let o(y) = -y**3 - 4. Let j be o(d). Let x be 9\/(-6) - j\/6. Calculate the highest common divisor of 50 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 15595755?\nAnswer: 15595755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 - 4*d**2 - d. Let p(w) = 5*w**3 + 3*w**2 + 2*w. Determine 4*c(s) + 3*p(s).\nAnswer: -s**3 - 7*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/9)\/(l*l\/(l**(-2\/5)*l*l))*(l**(-2)\/l)\/(l**3\/l) assuming l is positive.\nAnswer: l**(-263\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/18*(40\/70)\/(-2))\/(14\/(-147))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -581, 25.\nAnswer: -581, -3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -433 + 832. Let h = 399.04 - z. Which is the biggest value? (a) 0.4 (b) 1 (c) 0 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.59726 - -0.39574. Let x = u + -20. Round x to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, a: 1, l: 3, b: 5}. Give prob of sequence bbba.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-four fifths of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*x - 2738, 236*x - 232*x + 6809 = 5*d. Calculate the least common multiple of d and 24.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13879 and -237097.\nAnswer: -250976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2895 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 1342.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 42*m**2 + 8*m + 22. Let n be z(-9). What is the common denominator of 83\/20 and n\/80 - 4\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24372 or -24407?\nAnswer: -24407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -157738 (c) 0.079 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-7) + (-4)\/(-14). Suppose -4*d - 5*f = d + 15, -5*d + 5*f = -35. Suppose 4*s - 16 = t, 0*t + 5*t - 8 = -d*s. Put l, s, -1 in increasing order.\nAnswer: -1, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252333 (base 7) in base 16?\nAnswer: b58c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421007*j - 60557*j + 108301*j + 690834*j.\nAnswer: 1159585*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, b: 7}. Give prob of sequence blll.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*i*o**2*z**2 - 83233*i*o**2*z + 9*i*o - 18*i*z**2 + 2*i*z - 2*i - 3*o - z**2 wrt o.\nAnswer: -88*i*z**2 - 166466*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -3. Suppose -5*g + 59 = b, c*b - 8 = -g + 4*b. Let x(w) = -w**3 - 4*w**2 + 3*w + 12. What is the remainder when x(-5) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.1. Let l = -116.34 - 1.66. Let m = -118.2 - l. What is the nearest to k in m, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -22221?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-168)\/(-9))\/((-2)\/(-3)). Calculate the highest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -95. Solve f + u + 2 = c, -f - 13 = -2*u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25074*p**2 + 4556.\nAnswer: -50148*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - g**2 + 2*g + 1. Suppose 5*d + 3*h + 9 = 0, -5*d + 5*h - 25 = -0*h. Give n(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6300 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0*n**7 + 0 + 0*n**3 + 0*n - 3*n**2 + 1\/240*n**6 + 0*n**5 + 0*n**4 - 1\/672*n**8. Find b, given that c(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6376 and 37\/18.\nAnswer: 57384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1a74 (base 14) to base 6\nAnswer: 34130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.672 * 8\nAnswer: 29.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110101000100110101 (base 2) to base 3\nAnswer: 102001012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9290 + 111605\/12. Calculate the common denominator of t and 17\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*b = -t - 104, -2*t = -3*b - 47. Let j = -14 + t. Let h = 21 + -14. What is the lowest common multiple of h and j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (5 + 10 + 24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:27 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 39 = -2*a, -14 = 2*a - 0*a + 2*o. Let m be (a\/(-16))\/((-1)\/(-4)). Calculate the highest common factor of m and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534449471.5 + 59?\nAnswer: 1534449530.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14670.1 + 14042. Let i = 601 + t. Round i to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12580 - -5676. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/15 + 574184*a\/15 + 574186\/15.\nAnswer: -2*(a - 287093)*(a + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 65982?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 163*w**2 - 2*w - 16846*w**3 - 11556*w**3 - 161*w**2 - 3 + 5. Let v be c(1). What is v rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from ususssm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18408 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*p - 375 = -354, 3*h + 4*p = -28 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:16 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179836, -719478, -1618882, -2878048?\nAnswer: -4496976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*y + 7434 = -329*y + 191*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3075590 + -5?\nAnswer: 3075586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*0\/2 + 3. Suppose 0 = a*x - 0 + 6. Let o(m) = m**3 + m**2 + m - 2. Determine o(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6012.162 - 5876.9. Let o = -0.262 + j. Let w = o + -134.9802. What is w rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 644\nAnswer: 103.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-21))\/3)\/(1\/1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -96 (b) 25 (c) 2\/559 (d) 83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**2 - 5*w**2 + 0*w**2)*((-2*w**2 - 3*w**2 + 3*w**2)*(-1 + 0 + 3) - w**2 - 2*w**2 + w**2 - 9*w**2 + 11*w**2 + 12*w**2).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 - 2*q + 2*q + (-3 + 3 + 2*q)*(0*q + 2*q**4 + 0*q) + 3952*q**4 - 39*q + 68*q - 3948*q**4 + 54*q - 3*q**5.\nAnswer: 5*q**5 + 4*q**4 + 83*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - w + w + (w - 2 + 2)*(-4 + 5 - 3) + 0 - 2*w - 1 - 3 + 574*w - 318*w - 313*w.\nAnswer: -63*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (17 - -10) + -4 + -20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 161786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -302*g - 11. Let p be m(8). Let v = 2898 - p. Is v\/20 + (-6)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5529*u**2 - 2*u + 2*u + 16201*u**2.\nAnswer: 21730*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/4 + -8)\/1. Let n be 2\/4 - (-7)\/2. Suppose l = 4*k - n - 5, -2*l + 4 = 3*k. Which is the biggest value? (a) x (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31307*g + 11 + 15 + 15 - 56 + 14.\nAnswer: 31307*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2882 + 2882 - 6*o)*(-o + 0*o + 2*o) to b + d*o + r*o**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 814*n**2 - 6*n. Let z be (3 + -1)\/(((-6)\/(-2))\/6). Let m be w(z). Round m to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p = 90*p - 3870. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*-2)\/sqrt(9) - sqrt(5600)*2)\/(sqrt(72)*3 - (sqrt(8) + sqrt(392) + sqrt(392)*-1)).\nAnswer: -11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 3*f**2 - 15*f + 5. Let m be k(6). Suppose 2*y + 10 = -3*t - m, 3*y + 47 = -5*t. Let n = 183 + y. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + g + g**3 + (2*g - 2*g - 3*g)*(-3*g**2 + 17 - 17) + (3*g**3 - 3*g**3 - g**3)*(8 - 29 - 16) to the form q + u*g**3 + r*g**2 + l*g and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -190*x**3 - 7*x**2 - 164*x - 99. Is v(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289.69 + -0.31. Let o = 203 + k. Let u = 88 + o. Sort u, -5, -0.4.\nAnswer: -5, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21230 and 440.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 35 (b) 5 (c) -5\/2 (d) -1.7 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 = -7. Let i(t) = -t**3 + 4*t**2 - 3*t + 4. Let p be i(3). Put h, p, -3 in decreasing order.\nAnswer: p, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 33*l**5\/5 + 7*l**4\/12 + 7*l**3\/6 - 189*l. Find the third derivative of i(u) wrt u.\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392, -574, -1050, -1964, -3460, -5682, -8774?\nAnswer: -12880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (-57 - 3) - (154 + -145) - 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 7. Give a(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a tonne in kilograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -404583 >= -404583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(170)*3)\/((sqrt(350)\/sqrt(7))\/sqrt(5)) + 1.\nAnswer: -6*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11*(h*h*(h*h\/((h*h**(-7)\/h*h*h)\/h))\/h)\/h*h)\/(h*h**4)**(-35) assuming h is positive.\nAnswer: h**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 17*k**3 + 1. Calculate the smallest common multiple of 9984\/455 + -22 - (-2470)\/350 and m(1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2587\/5640 - 3\/376. Is b less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17958 is divided by 3501?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(0 + -10))\/((-11)\/(-22))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14470665 (base 8) to base 16.\nAnswer: 3271b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 811*n + 0*n**3 + 94*n - 905*n - 8*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -118*l - 3. Let p(i) = -6*i - 2. Calculate -4*p(a) + s(a).\nAnswer: -94*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.4 (b) -20.7 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/588 and 1\/9261.\nAnswer: 37044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -7 (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9471)\/10824)\/((-1155)\/45).\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7))**24 assuming l is positive.\nAnswer: l**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 12. Let i be (-1)\/z - (-69)\/(-180). Let l = 10231.1 - 10231. Which is the smallest value? (a) i (b) l (c) 1\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108177*j**2*s**5 + 21*j**2*s**3 - 7659834*j**2 + 3*s**2 wrt s.\nAnswer: 6490620*j**2*s**2 + 126*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16225 - -232\nAnswer: -15993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - 1073\/203) + 9\/(63\/2)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6040 divided by -861.\nAnswer: -6040\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 - d**2 + 6*d**2 + (-3 + d + 3)*(2*d + 2*d - 3*d) + (0*d + d - 2*d)*(0 + 2*d + 0).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-48)*(-8)\/90.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let m(u) be the first derivative of -289*u**3\/3 - 142. Determine m(b(i)).\nAnswer: -1156*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 0 + -1 + -2 + -1. Let n = 33431\/3 + -11143. Solve 0 + 0*x**3 - 2\/3*x**4 + n*x**2 + t*x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n + 1. Suppose -2 - 6 = -4*w. Let p(z) = -30*z**2 + 5*z + 17*z**2 + 15*z**w - 5. Let b(s) = -p(s) - 5*x(s). Factor b(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - -16. Let r = -27 + s. What is the second biggest value in 2\/21, -5, r, -3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3)\/((100\/10)\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*a + 4*m + 6, -1 = 5*a - 3*m. Let d = 40 - 55. Is a at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9\/(w**(-26)*w))\/((w\/(w*w*w**(-3\/2)))\/(w*w**(-2\/47))) assuming w is positive.\nAnswer: w**(3239\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8621*o = 7768*o + 27296 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prpsstpttt. Give prob of sequence tptp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 586*d**3 - 11*d**2 + 11*d + 7. Let a(t) = -291*t**3 + 5*t**2 - 5*t - 3. Calculate 7*a(c) + 3*x(c).\nAnswer: -279*c**3 + 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 1672863.\nAnswer: 92007465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1588*v - 417*v = -793*v + 104092 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 15) in base 10?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 5:26 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13714367?\nAnswer: 211, 64997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**9*l*l**(1\/2)*l assuming l is positive.\nAnswer: l**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a = -8*a + 5148. Calculate the highest common factor of 416 and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -1\/4*f**6 - 3\/10*f**5 + 1\/2*f**3 + 0*f**2 + 3\/8*f**4 + 0*f + 4. Factor n(b).\nAnswer: -3*b**2*(b - 1)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19728 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 44*q + 706. Let r be n(-16). Solve w + t = r*t, 4*w - 4 = 2*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/8 - 114\/(-60). Let k = -3780 - -11338\/3. Which is the closest to k? (a) h (b) -2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 31. Let s = -10 - t. Which is the nearest to 0? (a) s (b) 4\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = s - 5*s + 3*z, 0 = s - 2*z - 20. Suppose 2*w - 4*w = o - 19, 0 = 4*o - 20. Let y be -1 + 5 - (-21)\/w. Solve y*m = 2*m - s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 27. List the prime factors of h*((-2)\/(-5) + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 - -0.1. Let q = 4.8 - x. Let m = -16 - -14. Do q and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.03 + -0.03. Let r(y) = -y**2 + 14*y - 30. Let k be r(11). Suppose 17 = -3*s - 4*z + 5*z, 4*z - k = -s. What is the smallest value in 4, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuauua. What is prob of picking 1 a and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10669488*q**2 + 21086*q - 91 wrt q.\nAnswer: -21338976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3814 + 7623 - 1328*q - 3813 + 643*q**2 - 667*q**3 + 1356*q**2.\nAnswer: -(q - 2)*(q - 1)*(667*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 11*a**4\/2 + a**2 - a + 3. Let b be z(1). Let 3*q**3 + b*q - 21*q - 5*q**3 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -4, 2\/11, 1\/46, 0.4, -1\/7, 100?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 17*(249 - 0). Let c = 39127489\/9 - 4343261. Let n = y - c. Find the common denominator of 17\/5 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 34*f - 62. Let t be g(32). Find the second derivative of -4*r - 16 - r**5 + t + 46*r**2 + 7 + 2 wrt r.\nAnswer: -20*r**3 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-59 + 18 - -23 - 41)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjsjpsjjjjssssj. What is prob of sequence jpjs?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*b - 3*b + 16 - 5*b - 9*b to the form l + q*b and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14030961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 - n**5 + 4*n**5 + (-8*n**4 + 11*n**4 + 6*n**4)*((2 + 3 - 4)*(n - 2 + 2) + n - 1 + 1 - 12*n + 34*n - 21*n).\nAnswer: 26*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 187823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -1.5, -0.4, 0.2 in decreasing order.\nAnswer: 0.2, -0.07, -0.4, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298612839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of -7 + -1 + -1 + 614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-51))\/(188\/60 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -46*(-2)\/120 - (-27)\/(-45). Let r(x) be the first derivative of 0*x - 8 + 1\/9*x**3 - 1\/3*x**2 + k*x**4 - 1\/15*x**5. Factor r(t).\nAnswer: -t*(t - 2)*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121\/2537 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 - 329 = -9*f. Solve 2*n = -n - 9, n - f = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 40.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(2 + k - 2) + (0*k + 0*k - 2*k)*(1 - 4 + 0) to m + x*k and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 67*v**3 - 51*v**3 + 3.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11334989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 16 - w - 16 to h*w + a and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1576*w**2 + 3608*w.\nAnswer: -3152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 72197318 and 0.1458697.\nAnswer: 72197318.1458697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 38.47504km?\nAnswer: 38475.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m. Let c = 2 + m. Suppose c*o = -7 + 3. Does -3 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l)**12*l**1*l\/(l*l\/(((l\/(l*l**(-7)))\/l)\/l)))**(-3\/17) assuming l is positive.\nAnswer: l**(21\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (12 - 16 - -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2. Let y(n) = n - 1504. What is y(b(d))?\nAnswer: 4*d**2 - 1504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 5*i**3\/3 - 951. Let l(a) = -38*a + 3. Calculate l(s(f)).\nAnswer: -190*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.7, 1\/4, 5 in descending order.\nAnswer: 5, 1\/4, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + 2 - -6. Let c be ((-1)\/2)\/(m\/(-42)). Solve -c*d + 2*d = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7729 - -7743. Let i be ((-72)\/(-14))\/((-5)\/(-35)) - 1. Which is smaller: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 43510281.\nAnswer: -435102810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 28 = 73. Suppose 4*a - s = 5*k, -6 + 1 = 5*k. Let t be -3 + a + (-2)\/(-2). Which is smaller: -6\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + ((-7)\/(-4) - (-28 + (-9483)\/(-580)))\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 21*s + 14. What is d(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 - 9 = 0. Suppose 0 = 2*h + 3*h - g*n - 90, 0 = -2*h - 3*n + 15. Suppose s = 5*i - h, i - 55 = -3*s - 4*i. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -539064, 1 in decreasing order.\nAnswer: 2, 1, -1, -539064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.66910407 rounded to 2 decimal places?\nAnswer: 17.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*(-77)\/((-19173)\/12118)*2\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 8*u - 5*j, -2*j - 10 = -3*u. Let q = -25 - -9. What is the third biggest value in q, 3, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -57 (c) -7299.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -w - 34, -3*r + 62 = -2*w + r. Let i = 26 + w. What is the smallest value in i, -2, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 3. Let b be s(4). Let t be -2 - (406\/(-14))\/(2\/4). What is the highest common factor of t and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 + 959 = 39*z + 30*z. Let w(g) = -g**2 - 8*g + 10. Calculate the smallest common multiple of w(-8) and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*h + 70, 0 = -7*l + 3*l + 4*h + 100. Let n = 1 + l. Let s = 10 + -7. Solve -6*v - 17 = -2*v + s*u, -3*v = 5*u + n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/f*f**(-4))\/(f**(-2\/11)\/(f\/(f\/f**(2\/17))))*f**(1\/3)\/f**(1\/4)*(f\/((f*(f*f**(-2\/7))\/f)\/f))\/f**4 assuming f is positive.\nAnswer: f**(-240827\/15708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, c: 4, k: 4}. What is prob of sequence ekec?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 99.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 16*t - 10*t + 31*t**2.\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (24\/54)\/((4\/3)\/2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:11 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogcv when four letters picked without replacement from {o: 1, v: 2, d: 1, c: 2, g: 2, w: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*z + 54*z**2 + 6*z**2 - 272*z.\nAnswer: 60*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**5\/20 + 13*k**4\/12 - 8*k**3\/3 + 2*k**2 - 2*k + 8. List the prime factors of z(5).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f + 3. Let t be z(-2). Suppose 0 = i - 5*d - 2, -2*i - 2 = -3*i - 3*d. Is 5 a factor of (-1)\/(t\/5 + i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -1.1 (c) -0.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 32 = 3*c, 7*a + 39 + 5 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (2 - 5) - (277 - 329).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 11. Let l = 11.7 + -12. Put l, 1, u in increasing order.\nAnswer: l, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -970 by -5346.\nAnswer: 485\/2673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p + p**2 - 5*p. Let h(k) = -2*k**2 - 2*k**2 + 3*k**2. Calculate h(a(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 200*j - 102*j - 4*j**2 - 98*j. Let h(r) = 5*r. Give b(h(z)).\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 2, q: 2, e: 2, a: 1}. What is prob of picking 1 n, 1 q, and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 5*d - 12. Let f(v) = -4*v**2 - 17*v + 37. Let m(j) = -2*f(j) - 7*i(j). Calculate m(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -132740, -271011, -409282, -547553?\n\"Answer: -138271*s + 5531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {x: 3, r: 1, v: 1, f: 2, m: 1, p: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 + 418. Suppose 0 = 84*h - 88*h + v. Is h a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -1, -14.071, 0.03, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**5 + 3*i**5 - 2*i**5)*(61 + 29 - 7).\nAnswer: 83*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:18 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/67 - 339\/134. Which is the closest to -2\/3? (a) p (b) -2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 192*h + 8 + 55*h)*(-538*h - 536*h + 212*h).\nAnswer: 118094*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**4 - 250*o**3 + 6*o**2 + 147694 wrt o?\nAnswer: 8*o**3 - 750*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*d + 13*d + 46200. What are the prime factors of d?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.2 + 66.2. Sort r, 2, -9 in descending order.\nAnswer: r, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -4. Let g be r\/(-9) + (-136)\/(-36). Let -y**3 - 4 - 5*y + 4 - 2*y**2 + g*y = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-12)*(-4)\/8*3. What is the units digit of 1602\/6 - (3 + a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + r)*(0*r**2 - 2*r**2 + 4*r**2) + 2*r**3 - 2*r**2 + 2*r**2 + 2156807*r + 4 - 2*r**3 + 2156795*r - 4313620*r - 8*r**2.\nAnswer: 2*r**3 - 8*r**2 - 18*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeaa when four letters picked without replacement from {e: 7, a: 4}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26098, -26096, -26092, -26086, -26078, -26068, -26056?\nAnswer: -26042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 38.322 + 5\nAnswer: 43.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2) + sqrt(200)*-6)**2 + 3 - (1 + 2*4*sqrt(162)).\nAnswer: 400*sqrt(2) + 6980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19653606220 take away -5?\nAnswer: 19653606225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13565*x + 10389*x + 6657*x to h*x + r and give h.\nAnswer: 3481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199*p**3 + 1236*p - 1046*p - 34*p**3 wrt p?\nAnswer: 990*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342294.723089 + 43.6\nAnswer: 342338.323089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2238501*o**4 + o + 139828?\nAnswer: 26862012*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u. Let j(k) = 4865*k + 385. Let d(l) = -38*l - 3. Let i be (2 - (-44)\/(-10))*50\/(-20). Let t(a) = i*j(a) + 770*d(a). Give -85*b(v) - 6*t(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 + 19*v**3 + 14*v**3 - 63*v**3 + 19*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-150))\/(1856\/2320)*-3*3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 46 = b. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 13. Suppose 0*z + 3*w = -x*z, -5*z = -4*w - 9. Solve m - 4 = z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -197 + 202. Suppose -h*j - 10 + 15 = 0. Let p(i) be the first derivative of 8*i**2 - i + 3. What is p(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -37*t. Let v(q) = -9*q. Calculate v(z(r)).\nAnswer: 333*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(480) - sqrt(30))*5)\/sqrt(6) - sqrt(1500)\/sqrt(12)*-5)**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 24. Let a(s) = -2*s - 22. Let b(c) = -4*a(c) + 3*q(c). Give b(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12 = 12. Let t be (27\/18)\/(2\/k). Does 6 divide t\/(-4)*36\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**4\/8 + d**3\/6 + 34*d**2. Calculate a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597354 times -497?\nAnswer: -793884938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323220 (base 5) to base 15.\nAnswer: -3425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91914 divided by -3.\nAnswer: -30638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 22*k + (-k + 2*k - 2*k)*(1 - 3 + 3))*(30 - 531 - 48) to m + v*k and give v.\nAnswer: -11529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10609 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-15) + -7 + 148\/20. Let f = 7 - 7. Let c = 0.02 + 0.28. What is the closest to f in c, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 603871?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3666\/(-282))\/((-11)\/11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 1, p: 3}. What is prob of picking 2 q and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -16, 4*v = -h - h + 888. Suppose -4*r + 9*r - 222 = -4*k, -4*k = 4*r - v. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 764 divide 84895520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32104 - 86395 = -4435*y + 956*y + 164886 for y.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:20 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 564 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002107885 to 5 dps.\nAnswer: 0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 13*p + 23352 = 138*p. Calculate the lowest common multiple of p and 106.\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 43. Suppose -124 = -a*m - t, 2*m - 3*t + 108 = 6*m. Suppose m - 22 = d. Solve d*k + 6 = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 28*l - 117 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 0*l**2 + l**2 + 2*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17163591 (base 10) to base 7\nAnswer: -265613424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1662 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*j*u**3 - 3*j - 56*u**3 + 3*u wrt j.\nAnswer: 8*u**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -693. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27698780.\nAnswer: 2, 5, 17, 41, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -569 - 6087. Let b = 981 - y. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -43.6. Which is the closest to 6? (a) -1 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 + 0*k**3 + 16*k**2 - 4*k**3 + 0 + 65*k + 2*k**4 - 2 - 66*k in the form j*k + a*k**2 + v*k**3 + r*k**4 + h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 5*p + 1. Let t be q(5). Let g be (6\/(-8))\/(t\/(-72)). Suppose -4*z = -3*k - 18, 0 = -k - 2 + 4. What is the greatest common factor of z and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 10*q + q)*(1 - 1 + q)*(8*q + 0*q + 0*q).\nAnswer: -64*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*g - g**2 + 17*g + (-g + 4*g - g)*(1 - 2*g - 1) + 4*g**2 + 0*g**2 - 3*g**2 - 13*g - g**2 - g**2 + 21*g.\nAnswer: -6*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.063 + 0.063. Let k = 18 + -9. Let y(t) = t**2 - 11*t + 22. Let v be y(k). Sort v, l, 20 in descending order.\nAnswer: 20, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from raa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/(3680\/(-400)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.7 + -10.9. Which is the fourth biggest value? (a) 0.5 (b) 18 (c) -0.3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15))\/((-54)\/(1080\/(-116)))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1353616 and 352.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2811 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6975431 nanometers to centimeters.\nAnswer: 0.00000006975431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = 15*d - 12 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5*a - 8 = -5*v - 0*v, -608*a - 2 = -v - 611*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5412*h + 5412*h + 38187*h**3.\nAnswer: 38187*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -20. Let i(k) = 2*k**2 + 12*k + 11. Let j be i(-5). Suppose -5*o = d - 21, -5*d + 3*d + 2*o = 18. Which is the closest to g? (a) -5 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-nine halves of a century?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117099, 117098, 117097, 117096, 117095, 117094?\nAnswer: 117093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 62\/6 - 4\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*c = 14, 0 = 2*c + 22 - 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110155 divided by -285\nAnswer: 22031\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = b - 13, 4*b - 2 = -0*b - 2*g. Suppose -s - 2 = -3, 101 = b*l + 5*s. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -83*j**5\/20 + j**4\/12 - 636*j**2 - 1318*j. What is the first derivative of c(x) wrt x?\nAnswer: -249*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-199*b - 194*b + 415*b)*(2 - 5 - 4)*(-3*b + 0*b + 5*b) in the form i + a*b**2 + z*b and give a.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 82 = 4*a, 4*q + a = 41 + 18. Let o = 6 - q. Let s = -6 - o. Are 3 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*i**3 + 6*i**2*j + 2436*i - 1745406*j with respect to i.\nAnswer: -54*i**2 + 12*i*j + 2436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) -302\/5 (d) 160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 7. Let v = 14 + c. What is the closest to 1 in 3\/2, v, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 4*u - 2. Let v be d(3). Is 8 + -3 + (v - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2529994 + 0.\nAnswer: 2529994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**4 - 14*c**3 + 0*c - 7 - 3*c**2 + 2*c**2 + c + 16*c**3 in the form g*c**3 + s*c**4 + p*c + b*c**2 + m and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3113.449611 to 1 dp.\nAnswer: 3113.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 181*p - 1127. Give l(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201 + 201 - 103*o**2)*(1 + 1 + 0).\nAnswer: -206*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 (base 6) in base 3?\nAnswer: 20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 10*u**2 - 3281*u\/4 - 810.\nAnswer: (u - 81)*(u + 1)*(u + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 4\/19 (c) -0.021246 (d) -2\/5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 24\/31?\nAnswer: 24\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35462028 is divided by 102.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/((-2)\/3). Which is the second biggest value? (a) -0.5 (b) -0.012 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -25628616\nAnswer: 1\/25628616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08659 + 38.94659. Which is the biggest value? (a) 0 (b) 2 (c) -0.2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66265, -132629, -198993, -265357?\nAnswer: -331721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 766, 1555, 2374, 3235, 4150, 5131, 6190?\n\"Answer: 2*j**3 + 3*j**2 + 766*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*q + 0 = 50, 3*u - 130 = q. Let f = 9 - 5. Calculate the greatest common factor of f and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*y**2 - 40*y**4 + 4*y**2 + 7*y - 4*y**5 + 9*y**3 - 23*y**2 + 9*y**4 - 117 wrt y?\nAnswer: -240*y**2 - 744*y + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/9 + 2*q**4\/9 - 14*q**3\/3 + 94*q**2\/9 - 80*q\/9 + 8\/3 = 0. What is q?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*((13 - 8) + (-24)\/2). What is the tens digit of (-4*(-7)\/i)\/((-4)\/370)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = -2*p - 38*p + 30*p - 980 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12555 + -152125?\nAnswer: -135130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdkkd. Give prob of sequence dkkk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2. Let k(f) = -472*f + 85857. Give k(c(v)).\nAnswer: -472*v**2 + 85857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - -0.3. Suppose 2*s + 5 = 3*c + 14, 0 = 5*s - 5*c - 20. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (28 - 65) + 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 20 - (1 - (13 + -3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -801.6542 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u**2 - u**5)*(907 + 1902 - 212).\nAnswer: -2597*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161\/(-69)*1\/(-7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 342703693 to the power of 1\/3, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17*a + 1. Let q be x(-1). Suppose 45 = 3*o - q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4*j**3 + 0*j**4 + 2*j - j**4 + 4 to the form n + y*j + t*j**4 + p*j**2 + r*j**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3*o + 0 + (0 + 4 - 2)*(4*o - 5*o - o) + 4*o + 2*o - 3*o)*(-1 + 1 - 2*o)*(2 - 1 + 2) to m + d*o**2 + x*o and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2309186*d**2 + 2407000 wrt d.\nAnswer: -4618372*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + ((sqrt(13) - sqrt(117)) + -3)**2 + (sqrt(13) - (-3 + sqrt(1053) + sqrt(13)))**2 + 4.\nAnswer: -42*sqrt(13) + 1129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1716, 3335, 4940, 6525, 8084, 9611, 11100?\n\"Answer: -i**3 - i**2 + 1629*i + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/7 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7290*k + 14578. Calculate x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:29 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*h**3 + 120*h**3 - 38*h**3 - 47*h**3.\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.4, 0.045, -4\/7, -8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203.58 - 200. Round c to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 + 170 - 10*t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 2*(-2)\/2. Let p = 25 + -25. Solve p = 2*n - 8, m*j + 9 - 20 = -4*n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 0.3291931.\nAnswer: -0.0708069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d - 6. Suppose 4*w - 7 - 31 = 2*f, -5*f - 110 = 5*w. Let l = -14 - f. Is r(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -284 divided by -63\nAnswer: 284\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5522 - 9317. Let q = 4724 - r. Suppose 4054 = 9*w - q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*y**2 + 1 - 2 + 0 - 310*y**2 + 1.\nAnswer: -243*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-22) + (-24)\/(-11). Suppose -4*b + 4*v = -3 - 21, 3*b = -v - 2. Put z, -1, b in descending order.\nAnswer: z, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95360 and 1680?\nAnswer: 2002560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h - 2*h**3 - 1 + 6*h + (3 - 2*h - 3)*(h**2 + h**2 - h**2) + 0*h**3 - 31*h**3 + 6*h**3.\nAnswer: -29*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {k: 5, z: 1, c: 4, o: 1, p: 1, q: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2226)\/2862)\/((-2)\/(-12)*-2)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551, 1095, 1639, 2183, 2727, 3271?\nAnswer: 3815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 309612*s**3 + 1561502*s?\nAnswer: 1857672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 2*f = -10, -421*v - 10 = -419*v - 2*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1744788 times -0.3?\nAnswer: 523436.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-3 - (-17 - (-5 + 1)) - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 58*m**2 - 8*m - 9. Let f be t(-1). Suppose -2*l - 53 = -f. Suppose -l*u + 24 = -6*u. Let r(i) = i**3 + 8*i**2 + 9*i + 1. Give r(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7874 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3791.\nAnswer: -2\/3791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 16924.\nAnswer: -3\/16924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 11*w + 2. Let v be i(-11). Suppose 30 = c + v*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1522 and 6\/(96\/(-80)) - (1 + (-298)\/96).\nAnswer: 36528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g. Let b(o) = -6*o. Determine s(b(z)).\nAnswer: 72*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + -96765.2753258?\nAnswer: -96804.2753258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 18. Let m be (-16)\/(-72) + ((-16)\/9)\/(-1). Let i be m*1*(-16)\/(-2 + -2). Calculate the remainder when 49 is divided by g(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 728.0758441 to two decimal places.\nAnswer: 728.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 261*b - 5140 - 602 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1701 + 1705. Solve 9*a = -p + v*a + 15, 23 = 3*p + 4*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -1\/21*k**7 + 3*k - 1\/2*k**3 + 0*k**6 + 0*k**2 + 0 + 0*k**4 + 0*k**5. Find the second derivative of l(y) wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(4\/8*1). Suppose -3*t = 4*p - 192, p + 5*t = -q*p + 240. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 34 + 828 = 0. Let j = h + 799. Solve -5 = -j*x + 10*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29325 - 4425. What is b rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*l**5 - 2*l**4 - 12*l**2 - 17*l wrt l?\nAnswer: 3780*l**2 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 - (-9 + 6). Suppose -q*b = 15 - 39. Round b to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 2*k. Let t(l) = 19*l**2. What is t(r(x))?\nAnswer: 171*x**4 + 228*x**3 + 76*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdvdvv. What is prob of sequence ddvd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, e: 1, n: 2, h: 1, u: 1, a: 2}. What is prob of sequence aa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 747306 and 21000.\nAnswer: 373653000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -101768, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 less than or equal to -1294\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 235534 and 18.\nAnswer: 2119806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (0 - 1) - 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45325345903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {y: 3, i: 6, c: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14158 and -740.5?\nAnswer: -10483999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 16*x - 12. Let k be y(8). Let j = 204 - k. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -8.86. Let z = -0.86 + m. Suppose 0 = 2*y + 2*q - 6, q + 2 = -5*y + 5. Which is the nearest to z? (a) -4 (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 4*k - 10. Let u be (-9 - 3)\/((-6)\/4). Let z be v(u). Solve 0 = -4*g + 2*d - z, d - 15 = 4*g - g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 12956496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.2 - 21.641. Let b = 0.059 - r. What is the nearest to -7 in 4, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18687086 to the nearest integer?\nAnswer: 4323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 27 - 9 = 0. Let z be (-75)\/j + (-3)\/(-4). Suppose 5*n - z = 8. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 11 = -1. Suppose -3*r - 14 = 10. Let f = k - r. Sort f, 0, 5.\nAnswer: 0, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11298 and 146605?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -908 - -930. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 13160.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81180 = 8*o - 8*o + 30*o. Is o a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48258942 is divided by 530318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 440 = 5*j, 2*j - 87 - 92 = -b. Is j a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s + 127. What is the units digit of b(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7 + 5*g + 0*g**2 - 2*g**2 + g**2. Let d be u(3). Is -1 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by (5\/15)\/(5\/1005) + -4?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -5.6.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -26*o**2 + 210*o + 13. What is d(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 14*u + 2*o + 19, 4*o = -4*u + 4. Solve 4*c = 2*f - 16, u*c + 4 = 7*c + 3*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 7*h - 52 = -4*w - 7*h, 0 = w - 3*h - 78 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150.45 - -8.45. Which is the second smallest value? (a) p (b) 3\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 10.96449us?\nAnswer: 10964.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31322*m**2 + 29403*m**2 - 60707*m**2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 2*z - 1, 4*m + 8*z + 167 - 90 - 105 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 0)\/12*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -224 + 369. Solve -103*v + l = -74*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5637*u**3 - 2211*u + 44 wrt u?\nAnswer: 33822*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 2\/7 (b) 53 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 5*q**3\/6 + 62*q - 1. Let t(s) = -5*s. Determine y(t(v)).\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.6 + -6. Let w = 7.4 + x. Let v = 9.00000112 - w. What is v rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-8 + -4 + 17 + 54 + -47)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3598186*q**4 + 27091508?\nAnswer: -14392744*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540538464 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 15*f**2 + 3. Let t be k(15). Differentiate 8*b**t - 8*b + 4 + 8*b - 2 wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 10:22 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 131135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 79420228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560.09 times 8?\nAnswer: -12480.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 11*b - 16. Solve a + 0 = -2, 0 = w - b*a - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k - 1. Let j(v) = 4*v**2 + 2*v + 2. Let t(m) = 2*j(m) + 4*x(m). Let z(u) = 2*u. What is t(z(l))?\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 39 = -9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18854 is divided by 187.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -2 + 4 + 2. Suppose 3*t - o*t + 231 = 0. Suppose 0*w - 173 = -3*w + 2*k, -3*k - t = -4*w. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7009.6 and 5?\nAnswer: 35048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 550 - 254. Let j = s - 301.44. Let u = j + 5. Round u to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.8167 - -2.139942\nAnswer: -8.676758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + (-1 - (-34)\/4))*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 + 3*b - 1. Let p(w) = -9*w**2 - 7*w + 1. Let u(m) = 5*c(m) + 2*p(m). Let h be u(2). Suppose -2*o = h - 21. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -874 + 21?\nAnswer: -853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 18770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1166*p**2 + 158*p + 1168*p**2 - 2 + 17*p**3 - 181*p in the form t*p + y*p**3 + o*p**2 + w and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6989.61053 rounded to 0 dps?\nAnswer: -6990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uudumumzsozsu. What is prob of sequence do?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59367, -59359, -59349, -59337, -59323, -59307, -59289?\nAnswer: -59269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, -4.4, 1\/6, 0.134, 6, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*d**3 + 7*a**2*d**2 - 98*a*d**2 + 524*d**4 wrt d.\nAnswer: -12*a**2 + 12576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86876 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55\/103 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121 + -1222?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v + 53 - 10 + 438 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 11 = 86*c - 90*c, 8 = -8*c - 4*y - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4.6, 206, -2 in decreasing order.\nAnswer: 206, 4.6, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1715)\/25 - -5)\/(21\/(-35)). What is the highest common factor of m and 424?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 952697539*i - 777499217 wrt i?\nAnswer: 952697539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:21 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**4 + 2*s**3 + 2*s**2 + 4*s + 222 - 223 + 2*s**4 - 4*s**4 in the form r*s**3 + o*s**2 + z*s**4 + l*s + g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -307, -305, -303, -301?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 11.678.\nAnswer: -326.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/10 - 361\/(-95). Suppose -5*r = s + 23, 0 = -t*s + 2*r + 15 + 1. Suppose -37 = s*z - 191. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/32 - -29\/96. Let w = -0.12 + 0.19. Let p = w + 2.93. What is the closest to d in -2\/5, p, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-11 + (1 - -4) + -8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3467 divided by 171\nAnswer: 3467\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/13, -112?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 110. What is x(5)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 5*n**2 + 6*n + 3. What is q(-9)?\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 15*z + 58. Determine k(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605, 534, 463?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*10\/(-35) + (-2185)\/(-2394)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:50 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1797\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10409 + 21282. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:56 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/(s\/(s*s**(-1\/2)*s)))*s**(-6)\/s assuming s is positive.\nAnswer: s**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k - 3*k - 1 - 1. Let g be t(4). Suppose -g*c = c + 1770000. Round c to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 2 = 4*l, 37*l = -47*l + 7*l - 5*m + 862 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 737848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.5 (b) 0.05 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-5)\/(-2) + -2). Suppose -a = 5, x + q*a = -2*a - 17. Suppose 18*d + 7 = -19*d + 44. What is the smallest common multiple of d and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4469\/7 - -646. What is the common denominator of y and -3\/217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 92 = 3*b. Let j = b + 45. Suppose j - 99 = -l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 12 = 4*y, 5*q + 5 = -y + 2. Suppose q = 11*i - 0*i - 4950. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**4*x**3 + 18674546*f**4*x**2 + 98032*f**2 - 72*f*x**3 wrt f?\nAnswer: 96*f*x**3 + 448189104*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13d9 (base 16) to base 3.\nAnswer: -20222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1. Let m(w) = -w + 7. Calculate -m(b) - 4*v(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**4\/4 - 16*w**3\/3 + 5*w**2 - 32*w - 10. Let s be r(-17). Calculate the highest common factor of s and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53 - 42?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 58. Let s(g) = -3*g - 119. Determine 5*m(f) + 2*s(f).\nAnswer: 4*f + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = -2*j + 7*w + 68, 2*w = -10. Is 314\/7 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52417802?\nAnswer: 2, 107, 244943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 4 = -4*m. Let b = -19.8 + 21.61. Let i = -0.81 + b. What is the third biggest value in m, 2\/5, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 14. Let p be (-2)\/(-4)*1*0. What is the units digit of a(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6)\/((-3)\/(-8)). Let t = 4 + r. Solve 16 = -3*s - o, t*s - o = s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -6*m**4\/13 + 4*m**3\/13 + 18*m**2\/13 - 8\/13 = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 864*p + 181*p + 6 + 384*p.\nAnswer: 1429*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 826636 and 1316.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/8 + 46932*i + 938665\/2.\nAnswer: -(i - 375466)*(i + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4788 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*h**3*z + 476*h**3 + 20*h*z**4 wrt z?\nAnswer: -20*h**3 + 80*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.456 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/60)\/2 - (-2430012)\/90. Round g to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 5*c**2 - 4. Let o be p(-5). Let y be o - 1*12\/3. Is y\/6 - (-152)\/6 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124552071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9954.515 tonnes to nanograms.\nAnswer: 9954515000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 - 5*o. Let s(f) = -f**2 - 2*f. Let z(x) = -2*p(x) + 5*s(x). Let i(k) = -1873039420*k**2 + 1873039422*k**2 + 1 - 1. Give i(z(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1374594762.\nAnswer: 2, 3, 457, 491, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + p - 15 = 0, 2*f - 19 = -3*p - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4. Let k be w + -2*(-1)\/(-2). Let f be 1 - (20\/6 + -2). Is k less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(700) + 5 + -5)**2 - (0 + (-3 + -1*(sqrt(28)\/(sqrt(12)\/sqrt(3)) + sqrt(7)))**2).\nAnswer: -12*sqrt(7) + 663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1433, 3152, 5237, 7784, 10889?\nAnswer: 14648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 255411113?\nAnswer: 255411120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 13 = 2*k, -4*k + u + 19 = -2*u. Suppose -5*d = -2*n + 51, -12 + 0 = -k*n. Let i(q) = -q**3 - q**2 - q + 4. Let t be i(2). Are d and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**3 + 8*i**3 + 5*i**3 + (2*i - 1 + 1)*(i + i**2 - i) + 2 - i + 2*i**3 - 2 to x*i + j*i**2 + o + k*i**3 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {b: 1, k: 3, d: 4, r: 1, p: 5}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51452 (base 6) to base 3.\nAnswer: -100102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/(-7) - -4) + (-57)\/21. Let l(t) = 58*t - 28. Let a(j) = -29*j + 14. Let i(v) = p*l(v) - 5*a(v). Differentiate i(d) with respect to d.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 9. Let t = 53 + z. Solve 0 = t*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1727 (c) -12 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.5, 3, 2\/569, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -6 - (0 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -246*v - 4. Let l(g) = 4*g - 2. Let h be l(2). Let o be n(h). Round o to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**4 + 9231*k**3 - 767820*k**2.\nAnswer: 144*k + 55386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 8:37 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t - 14. Let d(b) be the second derivative of -4*b**3 - 154*b. Determine d(a(g)).\nAnswer: 264*g + 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-7)*p)\/(p\/(p*p**(-4))))**44*(p**(-3\/4)*p**(2\/7))\/(p**(-2\/9)*p*p**(-4\/3)) assuming p is positive.\nAnswer: p**(55463\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from iaxacjd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzzkzkz. What is prob of picking 3 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**2. Let g(s) = -7*s**2 + 17*s + 2. Calculate g(h(t)).\nAnswer: -252*t**4 - 102*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 4, v: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -59 (b) -47\/5 (c) -7 (d) 0.01 (e) 0.1 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 30 = 8. Suppose -3*c + 1 + j = 0. Let r = -2 + c. Solve -p + 2*p - 4*t = -r, 0 = 2*p + 4*t + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c - 4. Suppose 4626*j - 4609*j - 289 = 0. Let q(r) = 26*r + 12. What is j*f(a) + 6*q(a)?\nAnswer: 3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikdiidddidddiiddddd. What is prob of sequence id?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 - -0.006. Let x = d + 0.0874. Let f = 0.2 - x. What is f rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -2400021?\nAnswer: 2400023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6072\/690 + -2 + -4. Which is the closest to k? (a) 1 (b) 3 (c) 10 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -4*q + 22, -98*d + 100*d + 211 = 31*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 - 785*q\/3 + 616225\/6.\nAnswer: (q - 785)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j + 36*j = 21 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 4:37 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6816?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3763?\nAnswer: 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b + 96 = 18*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/5 + 68*v**3\/5 + 1086*v**2\/5 + 4532*v\/5 - 5687\/5.\nAnswer: (v - 1)*(v + 11)**2*(v + 47)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = -3*a, 3 = -a + 4*w + w. Let h(n) be the third derivative of -1\/15*n**5 + 1\/3*n**4 + 0*n + 0 + 2*n**2 + a*n**3. Factor h(j).\nAnswer: -4*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5171151486 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1795 divide 2031809694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 33 + 9 = -3*v, -6 = 2*y - 4*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 128*n + 2. Let j(v) = -246*v - 6. Let d(p) = -j(p) - 2*z(p). Let o(g) = -41*g**2. What is o(d(k))?\nAnswer: -4100*k**2 + 1640*k - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 9:11 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 14. Let u be (2\/(-4))\/((-2)\/s). Let -3*a - u*a - a + 2*a**2 + 5*a = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2118562.02828329 - 0.02828329. Let v = c + -2118560.99999996. Let t = -1 + v. Round t to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1018053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {x: 4, d: 6, j: 4, e: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**1*j)\/j*j)**(12\/5))**(-1\/12))**(-1\/83) assuming j is positive.\nAnswer: j**(1\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/55*35*2\/(-28)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -799, -813, -837, -871?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/16, 1, 2, 36\/7 in descending order.\nAnswer: 36\/7, 5, 2, 1, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15)\/((-8)\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2355894 = -23*u + 2355043 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 25. Calculate the greatest common divisor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -496\/14155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*v - 4121, 1642 = 2*t - 10*v + 12*v. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 296.0502 - 0.0502. Let s = -296.023 + w. Round s to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(320)\/sqrt(2)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = z - 2, -z - 2*h - 10 = -6*z. Suppose z*w = 3*k + 4*w - 21, -w = 0. Let -4*m + 6*m - m**2 - k*m**2 = 0. Calculate m.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3482*u**2 - 6608*u**2 + 3482*u**2.\nAnswer: 356*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:59 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-60))\/(6\/(-135)). Let a = g - -71\/56. Calculate the common denominator of -3\/7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 11. What is n(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304104 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11245 + -11235. Is d > 217\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - -54. Let r = 125 - w. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/12 - 10*g**3\/3 + 21*g**2 - 17*g. What is the remainder when v(-19) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3964 divided by 4.\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 11*i**2 - 7*i + 10. Let d be r(-11). Calculate the common denominator of (d\/(-4))\/(-3 + 9) and -37\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 9*f**2 + 18*f**2 + 731*f - 731*f.\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 30. Let i be u(27). Let q be i\/(-3)*4*1\/42. What is the second biggest value in -0.2, 12, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3272737 (base 9) in base 2?\nAnswer: 110101101110010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.522 - 1.32. Round c to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-893)\/((700\/(-40))\/35). Calculate the highest common factor of n and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 4*s**3 + 3*s**3)*((-2*s - 1 + 1)*(-5 + 0 + 3) + 2*s + 2*s - 3*s) + (-3*s**3 + 5*s**3 + 0*s**3)*(0*s + s + s) + s**4 + 4*s**4 - 3*s**4.\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjuuujn. Give prob of sequence juu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0 + 5, 5*l = 3*p - 79. Suppose -2*g = -p - 8. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8*0 - -25. Let x be (-142)\/(-7) + j\/35 + -1. Suppose x*u + 27 = 21*u. Calculate the least common multiple of 15 and u.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 158466696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -52 (b) 3 (c) 2\/85145 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5296 = 3*k. Suppose -2*u + k = 2*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 18 (b) -2\/3 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -27*v - 6. Suppose 743*k = -208*k + 8559. What is the remainder when i(-4) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4528 and 668.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:26 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-28)*(20\/(-15) - -2))\/((-12)\/(-420))?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*c**3 - 2*c**2 - 75*c - 512461 wrt c?\nAnswer: 21*c**2 - 4*c - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-215)\/(-10) - (-2)\/(-4). Suppose -v = 6*y - y - 9, -5*v - y + g = 0. Suppose -v*w + 3*d + 389 = 0, -622 = -5*w + 2*d - 141. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1334*o**2. Let s(v) = 13*v. Give x(s(p)).\nAnswer: 225446*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/288 and -101\/42.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -2\/17 (c) 1 (d) 4 (e) 1\/9 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - 87*d**3 + 51*d**3 + 2*d**3 - 4*d + 4*d + (0 + 0 - d)*(3*d**2 - 2*d**2 - 3*d**2).\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4 - 8023*l**3 + 21458850*l**2 - 19141288852*l + 19119838024 = 0. What is l?\nAnswer: 1, 2674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134971 + 134864.871. Let x = r + 0.129. Let l = x + 106.0049. What is l rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -5, -1513, -4, 3 in increasing order.\nAnswer: -1513, -110, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 10. Let x = -10 - -2. Let l be n(x). Suppose 0 = -5*i + 4*a + 40 + 26, 5*i - 68 = l*a. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 1 in increasing order.\nAnswer: -5, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5330652*c*k*y - 8*c*y + 262844*c wrt k?\nAnswer: -5330652*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*y = 8, -4*n - n = -2*y + 27. Let z(a) = -a - 7 - a + 0*a + a. Give z(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -21 + (-2166)\/(-133)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*n + 110*n + 48*n)*(-3 - n + 3 - 1) + 2*n**2 - 3*n + 3*n.\nAnswer: -110*n**2 - 112*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287869, 287872, 287875, 287878, 287881?\nAnswer: 287884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101673 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (4 + 1 - 1)) + (2 - -7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 3. Let x be m(6). Let p(u) = -u. Let v be p(3). Let k be v\/(-12) + (-4)\/(-32). Which is the third biggest value? (a) -0.4 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8980271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -537*o + 1507. Let c be k(3). Sort 4, 5, c, -2, -5 in decreasing order.\nAnswer: 5, 4, -2, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1433, -1, -5, -3\/8, 3\/4 in ascending order.\nAnswer: -5, -1, -3\/8, 0.1433, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let y(r) = -r + 1. Let f(l) = -166*l + 9. Suppose 5*q = -3*d + 10, 41*q = 38*q - 5*d + 6. Let a(h) = q*f(h) - 18*y(h). Determine a(g(m)).\nAnswer: -314*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39324008 is divided by 182?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -877 + 3505\/4. What is the smallest value in 247\/6, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000161818925 to 6 dps.\nAnswer: 0.000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 847600757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.133 in -0.5, -2\/9, -3, 1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 3*h + 100. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 - 110 = h. Suppose 5*t - b - 34 = -10, -2*b = 8. Suppose 0 = -t*y - 2*n + h, -n = 5*y + n - 24. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13481364.92 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 2. Let d = -6.1 - y. Round d to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5972 + -463.1.\nAnswer: -463.6972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 38016 (c) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10423655787077 and 3?\nAnswer: 10423655787080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 35776681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 23*y**2 + 15*y - 8. Let a be p(-22). Let j = -55 + a. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2, 14079.9 in increasing order.\nAnswer: -2, 0.3, 14079.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4239 * -118\nAnswer: 500202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h. Let j(o) = -12*o - 1. Let c(m) = -18*f(m) + 4*j(m). What is the first derivative of c(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -4, -0.5, -1.1, 0.05?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 6271?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 57925*c**2 - 289750*c.\nAnswer: 5*c*(c - 11590)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, d: 2, y: 3, i: 1, l: 5}. Give prob of sequence iz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2910 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 412705?\nAnswer: -412713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-5*f + 8*f - 6558*f**2 + 6556*f**2).\nAnswer: 4*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1515 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -10095.\nAnswer: 1\/10095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)*10\/125*-5. What is the closest to -3 in 4, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7795261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1548420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 38959*j - 136. Is n(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 14*v**2 - 34. Let o be l(-14). Let n(g) = -49*g + 85. Let x(h) = -8*h + 15. Let r(q) = o*x(q) + 6*n(q). Let p(c) = 15*c. Calculate r(p(y)).\nAnswer: -330*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irirksbkiabibikrrr. What is prob of picking 1 s, 2 r, and 1 b?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14797 * -68.\nAnswer: -1006196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-5 + (3 + -10 - -15) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6597 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -776, 4, -2, -123 in descending order.\nAnswer: 4, 3, -2, -7, -123, -776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(99))\/sqrt(9) + -2*sqrt(66)\/(sqrt(24)\/sqrt(4)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2073289 and -0.5.\nAnswer: 1036644.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r + 37. Let j be f(4). Put 2, 0, -3, j in decreasing order.\nAnswer: j, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 1\/2 (c) 58.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*(-3)\/6)\/(4\/(-8)). Is (u - 1 - -892)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - j = 5*n + 204, 0 = 5*n - 3*j + 255. Let q = n - -91. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = 8, -2*h = -4*s - 144. Suppose -d + h = -0*d. Is (6\/2 - d)*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 36 - 106*r - 251 + 11 + 72*r - 256*r. Does 26 divide d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, h: 1, i: 11}. Give prob of sequence ii.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h + 0*h)*(-1 + 5 - 2) + (9*h + 5*h - 2*h)*(-5 - 7 + 3) + 4*h - 6*h - 2*h as l + k*h and give k.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7114, 7029, 6886, 6685?\nAnswer: 6426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 7. Let m(f) = 8*f + 13. Suppose 0 = 5*h + 5*u - 10, 2*u - 12 = 5*u. What is h*m(j) + 11*g(j)?\nAnswer: 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7575, 7575, 7577, 7581, 7587?\nAnswer: 7595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1\/559 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Suppose 0 = -2*l - u*p + 18 - 4, -4*l = -p - 10. Solve 3*t - 6 - 14 = 4*i, 0 = -l*t + 2*i + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(3*sqrt(351))\/(3*sqrt(12)).\nAnswer: -3 + 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5999633 (base 10) in base 16?\nAnswer: -5b8c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 33*j + 7. Calculate l(9).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -4, -2, -233, 4 in increasing order.\nAnswer: -233, -5, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 897 = 108*x + 1410 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from tvevevavvtv.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20182 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:49 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - 6*1*sqrt(171)) + -2*sqrt(171)*1)*3)\/(5*(-1*sqrt(441)*4 - sqrt(441))).\nAnswer: 3*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1 (c) 0.054 (d) 403\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103897, -207798, -311699, -415600, -519501, -623402?\nAnswer: -727303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139251896 + -217.\nAnswer: 139251679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f. Suppose 9 + 3 = 4*p. Suppose 5*c + 5*a + 13 = -2, -2*c = -p*a - 19. Let d(q) = c*q**2 - 2*q**2 + 4*q**2 - q**2. Calculate d(o(n)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**4\/6 + y**3 + 3*y**2. Let p(s) = -43141 + 21566 + 21572 + 2*s. Calculate -4*k(b) - 9*p(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 993091406 to the power of 1\/2, to the nearest integer?\nAnswer: 31513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by -246\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k + 2 - 22*k + 2*k**3 - 3 - 14*k to the form g*k + v*k**2 + n + o*k**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 35 = -60 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 32, 3672, -5 in decreasing order.\nAnswer: 3672, 32, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4377 + 3?\nAnswer: 4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {t: 4, x: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 90, 3 in increasing order.\nAnswer: -3, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:14 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjtjfjfqj. What is prob of picking 1 j and 1 q?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 3283?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -8, p = -14382*y + 14379*y + 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**3\/2 + w. Let m(n) be the second derivative of -5*n**4\/12 - n + 1. Calculate i(m(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.3 + -73.3. Let i = u + 69.9. What is the fourth biggest value in 1, -5, 0.2, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 3*x + 3*x)*(0*x - 5*x + 3*x) - x + x + x**2 + 2*x - 3*x**2 - 2*x + (6*x + 9*x - 5*x)*(2 - 4 + x + 0) to the form w*x**2 + i + c*x and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 20*p - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, -1.9, -2\/3, 4589?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*v - 36 - 21, 4*x = 2*v - 58. Let n = 24 - x. Suppose -3*o = -q + n, 3*q + 5*o = -2*q + 160. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-25) - (-3819)\/15. Suppose -p - b = -3*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1535 - 3496 = -43*i. Solve 108*r = i*r - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t**2 - 164*t + 8. Let a(y) = 4*y**2 + 60*y - 3. Let m(o) = -8*a(o) - 3*z(o). Determine m(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214 not equal to 3167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 16 + 16)*(2 - 3 + 0) + 216*s - 246*s - 997*s.\nAnswer: -1030*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(684) + -1 - sqrt(684)) + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 25*i + 19. Let b be (-73)\/146 + 37\/(-2). What is the tens digit of v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 10*w + 22*w - 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 795980 by -10.\nAnswer: -79598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -16*k + 40. Let z be f(9). Let b = 126 + z. Calculate the remainder when 40 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.28968 to zero dps.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3. Let m be h(0). Let s = 15 - m. Find the third derivative of 2*l**2 - s - 2*l**3 + 12 wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*x - 393*x = -22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 246.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 3. Let g be l(-4). Let y = g - 4. Suppose -y*w + 180 = -0*w. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 6 = -23*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4 - (-5 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2264 + 2264 - 294*c**3.\nAnswer: -294*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iciiiiiiiiii. What is prob of sequence ici?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 9*x**2 - 8*x - 5. Let h be z(-8). Suppose -6*c + 20 = -52. Suppose -3*n - q = -12, 3*n + 0*n - c = -3*q. Put -7, h, n in decreasing order.\nAnswer: n, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -343221 + 10?\nAnswer: -343211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124\/(-1891))\/((4\/6 + (-80)\/30)\/(-1))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -4*u. Let m(b) = 2*b - 6. Let n be m(4). Suppose -5*c + 12 = n. Which is bigger: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20803 and 20280874.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1443\/36*4 - (-6)\/9. Solve 0 = 166*o - k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 156 = -4*s, -s - 52 = -50*i + 46*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-8))\/(12\/8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 23. What is c(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*s, 20*s - 19*s - 6 = -d. Let l(m) = 15 + 3*m**2 + 12*m**2 + 5*m**2. Let k(p) = 5*p**2 + 4. Give d*l(b) - 15*k(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 32 = -31*d. Let s be d\/(-48)*(1 - -2). Suppose x + 4*h - 69 + 10 = 0, s*h + 164 = 4*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306552 (base 7) in base 16?\nAnswer: -ce19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*p**3 + 12*p**3 - 3*p**3.\nAnswer: 92*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000160745137 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y - 5. Let z(u) = -9*u + 4. Let g(o) = 4*f(o) + 5*z(o). Let a(h) be the second derivative of h**3\/3 - 3*h**2 - 85*h. What is g(a(k))?\nAnswer: -2*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5646028091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/3 + 58*n**2\/3 + 34*n - 54 = 0. Calculate n.\nAnswer: -27, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(2) - sqrt(2)*-2))\/((sqrt(80)\/sqrt(4) + sqrt(20))\/sqrt(10) + sqrt(2)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4945928 and 81607812?\nAnswer: 163215624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 254 - 259. What is the smallest value in -1\/5, i, 3, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_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: Rearrange 195*m + 587*m - 22*m**2 - 14*m**2 + 710*m + 38*m**2 to the form g*m + v*m**2 + l and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 820? (a) 2 (b) 1 (c) -4 (d) -13\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81529339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + (-154)\/(-10). Let k(x) = -x + 19. Let y be k(i). Solve -2*b = -y*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 3917469.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*j + 10, -4*s = -2*j - 9 - 11. Let q(f) = 0*f - s*f + 3*f - 1 + 11. What is the units digit of q(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*-2*sqrt(11).\nAnswer: -10*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/316745144 and 67\/12.\nAnswer: 950235432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 1:49 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110100000110100 (base 2) to base 6.\nAnswer: 5253232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.069 - 0.469. Suppose 9*k = -1 + 28. Let f = 45 - 179\/4. Which is the closest to k? (a) f (b) q (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55404652333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = 3*f - 27, 2*q + 21 = 3*f. What is the remainder when q*3\/((-18)\/28) is divided by ((-3)\/(-5))\/((-4)\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 17. Suppose 0 = 2*r + q*r + 192. Let k be (-15)\/6*r\/210. What is the biggest value in -21, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(960) + sqrt(960))\/(sqrt(192) + 3*sqrt(192)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126055 is divided by 1416?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -47*l + 526. Let h(w) = -3*w + 2. Let z be h(2). Calculate the lowest common multiple of 2 + z\/(-2) + -3 and o(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 130*f**2 - 229*f - 32*f**2 + 226*f + 22*f**2 as w*f**2 + h + p*f and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 28, 3.\nAnswer: -1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-6) + (-1)\/2. Let u = -11 + 15. Let a = u + h. Is 3 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, n: 6, c: 1, j: 3}. What is prob of picking 3 n?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + 0.58. Let o = -0.1 - -0.2. Let g be (2\/(-6))\/((-2)\/8). Which is the biggest value? (a) g (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**5*x**(-10)*((x\/(x*x\/((x**(-2)*x)\/x))*x)\/x)**(-20))**(-8) assuming x is positive.\nAnswer: x**(-376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -574.01 - -574. Put x, 1\/71, -1\/8 in ascending order.\nAnswer: -1\/8, x, 1\/71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 divided by 10?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 17*b**2 + 2*b - 2*b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-8) + 4)\/(30\/280)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.987 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {w: 4, e: 1, x: 3, j: 1, d: 3, h: 6}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 14*c**2 + 30*c + 35. What is g(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 - 10762*q\/3 + 4674492.\nAnswer: 2*(q - 3167)*(q - 2214)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -10*h**2 - 18*h + 0 - 7\/6*h**3. Differentiate v(y) wrt y.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 740 and 780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/76 and -13\/171.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 2 (c) 0.02 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6931 is divided by 365.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1106115, 2212221, 3318323, 4424421, 5530515?\n\"Answer: -2*v**2 + 1106112*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 1 + 59*w**2 - 2 + 2*w - 36*w**2 in the form i + c*w**2 + f*w and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26400 + 26450.646. Round g to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m**2. Let f(v) = -6*v**3 + 2*v. Give -f(z) - 2*o(z).\nAnswer: 4*z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 37250*c - 18562*c - 5 - 19186*c as m + d*c and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8)*9\/(18\/(-8)). Determine g so that -34\/9*g**m + 32\/9*g**5 + 2\/9 + 32\/9*g**4 - 34\/9*g**2 + 2\/9*g = 0.\nAnswer: -1, -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (5 + -2 - (5 + -5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k + 104 + 1415 = -793 + 5848 for k.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 4*m - 52*m - 44.\nAnswer: -56*m + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5114*x**2 - 2*x + 873.\nAnswer: 10228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-8))\/t**7*(t\/((t*t*t**9)\/t))\/(t*t**4\/t))\/((t*t\/(t\/t**(-2\/5)))**(4\/15)\/((t*t**(-2\/11)*t)\/t**(-9))) assuming t is positive.\nAnswer: t**(-94\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5.2 (b) -5 (c) 0.4 (d) 4 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a01 - 888?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 13. Let f be s(-10). Suppose -q - f*q = 0. Suppose 28 = k - x, q = k - 3*x - 24 - 0. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*f + 11, 2*u + f + 0 = 2. Let a be 0 - u - -98 - (-1 - -4). Suppose 0 = 3*n - 7*n + a. Calculate the remainder when 44 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 2*n**3\/3 + 3*n**2\/2 - 2*n - 15. Let c(g) = -1. Calculate 2*c(d) - r(d).\nAnswer: -2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -10. Let h = s - -13. Let c = -6 + h. Let m(u) = 4*u - 1. Give m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (29\/6)\/(24\/16) + -3. Let c be 0 - -4*1\/2. Suppose 14 = c*o - 2. Sort 0.1, o, h in ascending order.\nAnswer: 0.1, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 282.46 + -279. Let t = 3.611 - c. What is t rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200907939 divided by 295019\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/76*(-2)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125790.2 - 633285463?\nAnswer: -633411253.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10571, 42050, 94515, 167966, 262403, 377826, 514235?\n\"Answer: 10493*t**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14645826241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(21)\/sqrt(7)*-3 + (sqrt(12)\/(sqrt(24)\/sqrt(6)) + sqrt(3) - sqrt(3))) - (-3*5*sqrt(300))**2*-2.\nAnswer: -6*sqrt(3) + 135000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*d + 305 - 305)*(d + 2*d - d).\nAnswer: 34*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -42. Let k(i) = 7*i**f + 3*i**2 - 6*i**2 - 5*i**2. Let z(r) = -74*r**2. Determine z(k(p)).\nAnswer: -74*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 233 - 80)*(1 - 3 + 1)*(3 - d - 3).\nAnswer: -293*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 625744819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 31, 0.068, -2\/7?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 9:21 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/p**(-11))*p))**23 assuming p is positive.\nAnswer: p**253","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 21.78, 0.2, -2\/9, -0.2, 2\/3, 7, -202?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -369\/4 + 93. Let k be 39\/102*(-16)\/(-4). Let s = 1\/34 - k. What is the closest to -0.1 in p, s, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 11:26 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 156 = 17*y. Suppose g = -1 + 2. What is the remainder when y is divided by (21\/9)\/(g\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1992892 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -20) + 10 - (10 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 5. Let l be q(-27). Let h = 89 + l. Calculate the greatest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {s: 4, n: 6, d: 2, v: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 715 by -5.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/((-8)\/68))\/1. Suppose -3*k - 2*i + o = 0, 0 = k - 0*k + 2*i - 3. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 less than 420?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01144471 rounded to five decimal places?\nAnswer: 0.01144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -731969, -731981, -731993, -732005?\nAnswer: -732017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcgjpph. What is prob of sequence gc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((15 - 15) + (-1)\/159). Let o = d - -182. Suppose 5*k + 4*x - 8 = 0, 3*x = -2*k - 2*x - 7. What is the remainder when o is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319761 is divided by 317?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11431 - 11431 + 25*j**5)*(-14 + 4 - 3).\nAnswer: -325*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5147.\nAnswer: 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/4 - 3*l - 3.\nAnswer: -3*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 10:37 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.4 (b) 8 (c) 11 (d) 3 (e) 4\/9 (f) -35\/6 (g) 14\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*-7*(-15)\/70?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 1, r: 1, e: 1, s: 4}. Give prob of picking 2 s and 1 r.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*k - 11 = 0, -k - 7 = -u - 5*k. Let n = -196 + 186. Let r be (-4)\/14*(n + u). Solve -3*h - h + 5*a = 0, 0 = -r*h + 4*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28, 25, 22, 19, 16, 13?\n\"Answer: -3*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z + 6. Suppose 5*l - 4*h = -49000016, -5*h + 49000008 = -5*l - z*h. Round l to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -13244, -1\/10, 0.61, -22?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55924052 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h + 288 - 288)*(-29 + 42 - 40).\nAnswer: 324*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1568 and 4011968?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2811 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 g(z) = -5*z - 1. Let w be g(-5). Let b be (-16)\/54*w\/(-32). Determine y, given that 0*y - 2*y**5 + 0 - 2\/3*y**4 - b*y**2 + 10\/9*y**3 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 39 = -178*x + 150 - 28, -x = m + 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((10\/(-3))\/((-24)\/45))\/6 and 43\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 10*g**2 + g - 2. Let a be o(-6). Let v be 15\/12*30*a. Suppose 2*q = q - v. Round q to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.7. Let y = -0.3 + r. Let h = 0.0000025 - y. Round h to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-24)*-2 - 93\/18.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 5*a**2 + 5. Let w be z(-5). Factor 5*t**4 + w*t**2 - 5*t**3 + 5*t**2 - 4*t**4 - 4*t - 2*t**2.\nAnswer: t*(t - 2)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -31. Which is bigger: w or -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9823 + 9825. Which is the closest to -2\/3? (a) t (b) 1\/5 (c) 8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 0*j + 8*j**2 - 1\/30*j**5 - 1\/3*j**4 + 0*j**3 + 0. Find the second derivative of o(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 586, 1328, 2366, 3700?\nAnswer: 5330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-320)\/(-36))\/16)\/(3\/18)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 124*m**2 - 504*m + 394. Is i(130) a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.6 - -29. Let q = f + -50.5998625. What is q rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2191 and -43.\nAnswer: -94213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 88 + 209084?\nAnswer: 209172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 - 35504374*g**3 + 150820264*g**2 wrt g.\nAnswer: 120*g**2 - 213026244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 18. Suppose -2*f - 96 = -s*f. What is the highest common divisor of 24 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 + (4 - 4) + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 9391.\nAnswer: 3\/9391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 9052*x**5\/5 + 961*x**2 + 2*x + 9919. Find the second derivative of u(a) wrt a.\nAnswer: 108624*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7763706 divided by 2587902.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = s + 5*z - 456, -2*z - 456 = -s. What is the lowest common multiple of s and 76?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 10*x = 132. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*y + y**3 - 34*y + 11 + 0*y**3 to the form c*y + n*y**3 + o*y**2 + h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39848, 39337, 38826, 38315?\n\"Answer: -511*a + 40359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21563360 divided by 14.\nAnswer: 1540240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 16. Suppose g*k = 6*k + 12. Let x be 3*(5\/2)\/(-5). Is k smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a. Let r(h) = 5*h + 6. Let o(u) = 5*u + 7. Let b(f) = 6*o(f) - 7*r(f). Let p(m) = 4*b(m) - 3*s(m). Let w(c) = c. Calculate w(p(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -90 - 6. Let f be 1\/(-2) - 14\/(-4). Suppose 0 = -b - 2*a + 4, f*b + 2*b + 4*a = 20. Solve 0 = 3*r + b*o - u, r - 5*o = -16 - 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63074673, 126149344, 189224015, 252298686, 315373357?\n\"Answer: 63074671*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - k + 19. Let o be t(0). Let q = o + -11. Suppose -y = y - 10. What is the remainder when q is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwrd when four letters picked without replacement from ddrdddwwrwdhrddwdd.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - 4)\/(88\/(431200\/(-210))).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3407452 is divided by 51627?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 - -95343?\nAnswer: 9535a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42832 is divided by 487?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 32377*s + 614795. Determine c(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187267\/205 - 3120\/41. Let y = k - 849. Find the common denominator of -67\/3 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 862?\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -58c5b5 (base 15) to base 3\nAnswer: -21222121012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b79 (base 13) to base 4.\nAnswer: -132213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**5 + 372*f**4 - 760*f**3 = 0.\nAnswer: -95, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/8721 - -88183\/17442. Let n = 66\/343 - -31529\/5488. What is the common denominator of n and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) - (sqrt(144) - 2*sqrt(144)))\/(sqrt(8) - 1*sqrt(648)) + ((sqrt(22)\/sqrt(275))**2 - -5*sqrt(8)) + -4.\nAnswer: -98\/25 + 37*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5103 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 1 e when three letters picked without replacement from reayard?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 38. Let h be m(-20). Suppose 48 - 6 = -3*t + h*v, 5*t + 5*v + 45 = 0. Let q be (260\/210)\/(2\/t*-4). Which is greater: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -57, -105, -161, -219, -273, -317, -345?\n\"Answer: v**3 - 13*v**2 - 2*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -18. Let m be 3 + s + (4 - 1). Suppose 3*v = n - 89, -5*n + 263 = -m*v - 134. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522106.\nAnswer: 2, 13, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52466042535 + -2.153.\nAnswer: 52466042532.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19904 and 160.\nAnswer: 99520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3105 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 490569517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = 0, 37 = 4*y + 4*q + 9. Suppose 4*b - 12*w = -14*w + 1610, y*b = -w + 1613. List the prime factors of b.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a00 (base 13) to base 6.\nAnswer: 120302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335380095?\nAnswer: 3, 5, 101, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q = 6. Suppose -3*o + 58 = -w - 3*w, q*o + 2*w - 34 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*s**2 - 5\/2 + 31\/6*s.\nAnswer: -(s - 15)*(2*s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2970.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/9 (b) 255 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-6))\/o*o\/o**0)**(3\/5)*(o**0*o)**(26\/5)\/(o**(-1\/6)*(o**2*o)\/o) assuming o is positive.\nAnswer: o**(227\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v = -r + 7, v + 3 = r. Suppose 0 = 3*u - 5*u - r. Let z be 5 + u - 0\/5. Solve -o = -z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 16. Let p be x(8). Suppose 4*r - 425 - 95 = p. Suppose -3*m + 5 + r = 0. What is the remainder when m is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-12) + -3)*84\/630.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, g: 2, q: 3, u: 1}. What is prob of sequence qpqg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = -5*w, -4*m - m = -2*w - 17. Factor -3*o**2 + 3\/2*o**5 + 3\/2*o**4 + 3\/2*o + 3\/2 - 3*o**m.\nAnswer: 3*(o - 1)**2*(o + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 2452623976?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*y - 16092 = 207*y. Calculate the remainder when 897 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 1778*y**5 - 12*y - 591*y**5 - 594*y**5 + 12*y**2 - 11*y**4 - y**4 - 590*y**5 + 9*y**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -10. Let l = 44 + -47. Let g be l\/1 + (-18 - -23). Solve -g*b - z = -3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -1, 3 in descending order.\nAnswer: 115, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -15*j**2 - 7*j - 13. Calculate w(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 3 = 4*u, -3*h + 21934 = 5*u. Is h a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -409588 or -409525?\nAnswer: -409525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3840*i**2 - 119*i + 7669*i**2 + 2 + 2*i**3 - 3827*i**2 to p + x*i**3 + v*i**2 + n*i and give n.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*q + 6*q - q**4 - 14 - 11*q wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228, 3, 4.\nAnswer: 3, 4, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*t - 4*c = -65*t + 496, 4*c = -5*t + 912. What is the remainder when 1758 is divided by t?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-12) - 14\/(-8). What are the prime factors of (3\/(-1) + 11)\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/322 + 234\/46. Suppose h*f + 8*m - 7*m - 1080 = 0, -875 = -4*f - 3*m. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10730 to the nearest 100.\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-36)\/(-21))*(-138)\/(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 109*v**2 - 122*v**2 + 238*v**2 + 7 + 8*v. Let i be -3 - (1 - (-3 - -1)). What is q(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126612885 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (10 - (-8 + (7 - -6)))) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 8. Solve 0 = l*n + 2*q - 12, -2*q + 15 = 3*n + 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*v - 10, 4*a - 3*v - 60 = -7*v. Let p = -8 + 6. Let z = 20 + p. What is the remainder when z is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126107*g + 24 = -126104*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 9 = 6*k, 3*l = 4*k + 33. Suppose -j - l + 134 = 0. List the prime factors of j.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 5*d - 3*d - 38 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 382519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67\/(-23) + (-598)\/6877)\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(72)*1*1)\/(sqrt(24)\/sqrt(96))*3)**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*z - 10 = -30, 2*b - z = 10. Suppose -406 = 61*f - 54*f. Let o = -55 - f. Calculate the remainder when b is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 8614*h - 51717. Calculate d(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -2\/9*l**4 - 4\/15*l**5 - 1\/27*l**6 + 5\/9*l**2 - 30 + 4\/9*l**3 + 0*l. Determine g, given that u(g) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - (-37 + 39)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59895, 60095, 60297, 60501, 60707?\nAnswer: 60915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*r - 5 = 0, 2*g = -3*r - 2 - 5. Let v = -71 - -92. Suppose -y = -3*l - v, 2*l = -l - 4*y - 6. Which is greater: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.47*-10.\nAnswer: -34.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*j + 64, 1 + 0 = j. Solve -3*l - p = -3*c, 0 = -l + 3*l + 2*c + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 574\/205*(-80)\/448*-48?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 85*j + 35. Let l(s) = -5*s - 2. Suppose 89 = 2*n + 35. Let r be (7 - 3)*n\/6. Let k = -20 + r. Give k*o(y) - 35*l(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8203*u**2 + 568*u - 132. Let j(g) = 205074*g**2 - 14202*g + 3267. Let p(l) = -4*j(l) - 99*n(l). What is the second derivative of p(f) wrt f?\nAnswer: -16398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.42 to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 84 + 0 = 0. What is the remainder when 30\/45*(-123)\/(-2) is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 606332*a**2*h + a**2 + 269767 wrt h?\nAnswer: 606332*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211511 is divided by 819.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (2 - (-5 + 1)) - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(91) - sqrt(91)*-2)*-2)\/((-1*sqrt(21))\/sqrt(3)))**2.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -420*h. Let q(o) = o**2. Determine q(y(v)).\nAnswer: 176400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrhrzzrhr. What is prob of picking 2 r and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3601000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**3 - 2*b**2 + 4*b. Let c(g) = -g**2 + g - 1. Determine -4*c(o) + p(o).\nAnswer: -6*o**3 + 2*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**9\/3780 + d**5\/20 + d**4\/12 + 9*d. Let f(o) be the third derivative of z(o). Find the first derivative of f(u) wrt u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167102 divided by 2?\nAnswer: -83551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/8 + 35\/2. Suppose 2*t = 2, 7*i - 3*i - 5*t + u = 0. Let q(w) = w - 4. Determine q(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 3*m**2 + 2*m. Let d be p(0). Suppose -3*h + d*h + 3*b = -17316, -2*b = h - 5772. Is (h\/259)\/(2\/14) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 45\/202?\nAnswer: 45\/202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4409784 to the power of 1\/2, to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2991 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: What is 7055290 divided by 1?\nAnswer: 7055290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/222)\/(-6) + (-73)\/(-666)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - l - 3. Let o(f) = -18*f**2 - f - 3. Let q(i) = o(i) - z(i). Let u(p) be the second derivative of p**4\/12 - p. Determine q(u(a)).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -4. Suppose -y = -3*n, 2*y + 5*n = 6*y - v. What is the remainder when 6 is divided by (9\/2)\/y*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -1\/22, -1.29?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 253181 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 4. Let p be ((-4)\/5 + 2)\/((-27)\/(-90)). Suppose -p*o - 2 = -14. Let k(c) = -9*c + 9. Determine o*k(v) - 7*g(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 4*n - 2. Let r(j) = -2*j. Let c be r(2). Let d be y(c). Is 2 a factor of (-69)\/(-12) + d\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(72) - ((sqrt(72)*-1)**2 + 4) - (-3 + sqrt(72) + 0 + sqrt(72))) + 5 + (sqrt(12)\/(1*2*sqrt(6) - sqrt(6)))**2).\nAnswer: -396 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, t: 7}. What is prob of picking 2 b and 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, d: 1, u: 1, y: 1, p: 1}. Give prob of sequence ypgu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05798258 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 147 - 11*y**2 - 7*y**2 - 146 wrt y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(5\/9))**(-5\/14)*(f*f*f*f**0*f)**(-21\/4)*f**(-3)*f*f\/(f**(1\/5)\/f) assuming f is positive.\nAnswer: f**(-13481\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20849 + 166793\/8. What is the smallest value in z, 1, -52, -0.7?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 30528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459*a - 6*a**3 + 1459*a.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -921 - -36?\nAnswer: -8c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - a**3 - a + (-58*a + 134*a + 129*a)*(-2*a**2 - 3 + 3) + 3*a - 3*a + 2*a**3.\nAnswer: -409*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-1\/9)))\/(((a*a**3)\/a*a)\/a))**(-26) assuming a is positive.\nAnswer: a**(728\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.21 - 18.5. Let w = 2.09 + p. Let q = 1.5 - 1. Which is the smallest value? (a) w (b) 1\/4 (c) q (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/4 + 271*c**3\/6 - 208*c**2 + 148*c + 2. Differentiate q(n) with respect to n.\nAnswer: 6*n + 271","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 3034897463\/1020 + -2975389. Let l = d - 19\/60. Find q, given that l + 4\/17*q - 2\/17*q**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*m - 8 = 525 + 781. Calculate the remainder when 691 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 5. Suppose y*i = 10 + 10. Find the second derivative of -3*d - d**i + 3*d + 2*d wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15402929?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**7\/210 - w**6\/30 + w**5\/12 - w**4\/12 - 148*w**2 - 3*w. Factor z(i).\nAnswer: i*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + x - 14 - 165 = 0, 2*v - 2*x - 370 = 0. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5e2e - 5?\nAnswer: 5e29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*y = 285, 0 = -5*u + u - 2*y + 590. Suppose -z = 3*c - 78, -2*c + 5*z + u = 3*c. Let t = 17 + c. What is the highest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177536980?\nAnswer: 2, 5, 103, 86183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 718444 and 11180.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 0*h**2 - 2*h + 2\/3*h**3 - 1. Solve y(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 31 = 5*h - 3, 0 = -4*h - 2*b + 20. Calculate the least common multiple of 57 and h.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m - 3. Calculate w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9*-26963634\nAnswer: 242672706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 2.9609?\nAnswer: 3.1609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (0 - 0)\/3. Suppose -3*n - z + 10 = -25, 3*z - 15 = s. Suppose 2*q - 30 = -q - 3*w, q - 4*w = -n. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 10 = -5*o, 10*p = -3*o - 105. Sort -2, 2, 3, p.\nAnswer: p, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17257096 - -3?\nAnswer: 17257099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -4*u. Let c be -2 - -1*(11 - u). Calculate the remainder when 308\/c - (-9)\/45 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - g. Let f(a) = a**2 - 81*a + 1. Let r(n) = -34*n**2 + 531*n - 7. Let s(j) = -7*f(j) - r(j). Give -s(i) - 36*x(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 95928 divided by -12\nAnswer: -7994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 31 + 732 - (1 - 0 - 2). Let s = h - 239. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*(0\/1 + 0))\/(-3019 + 3021). Which is the third biggest value? (a) 2 (b) 552 (c) 0.3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118776 is divided by 279690.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(7) - sqrt(14)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -101000111011?\nAnswer: -101000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 3211.97115048.\nAnswer: -3214.97115048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -150891068, -301782138, -452673208, -603564278, -754455348, -905346418?\n\"Answer: -150891070*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 86cb - 0?\nAnswer: 86cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 65 - 55 = 0. Suppose q = -y + 14, 2*q - 5*y - s = -3*q. Solve 0 = 7*t - 2*t - q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3) + 4\/((-12)\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 3*i + 13, 3*n - 4*n + 2 = -4*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 14285 = -25715. Round l to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86520?\nAnswer: 2, 3, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5243, -41953, -141589, -335615, -655495?\nAnswer: -1132693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdddkdd. What is prob of sequence kd?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21822+346\nAnswer: 22168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v = 2*l - 406, 3*l - 9 = 0. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4139037.\nAnswer: 3, 7, 65699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 15, 6, 21, -5, 9 in descending order.\nAnswer: 21, 15, 9, 6, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4492 + 3890 = 0. Let v = b - -11119\/4. Find the common denominator of -23\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 210\/(-63) - -2 - ((-1308)\/(-9))\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 76 = -3*k - 5*p, -102 = -5*k + 4*p. Let g be (-22)\/22*(0 + -5). Solve -2 = g*r - k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8 + 0*m + 4*m + m. Let o(v) = 6*v - 8. Let l(p) = 3*k(p) - 4*o(p). Is l(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -g - 3*i, g + 5*i = 36 + 56. What is the greatest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38757 and 4676678.\nAnswer: 14030034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhnh when four letters picked without replacement from {i: 1, q: 4, h: 5, n: 5, a: 4}?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 23?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -33 - -24 - (-6 - (-9 - 2) - 9)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3591*t**2 - 4708*t**2 - 11313*t**2 + 3*t**3.\nAnswer: 3*t**3 - 12430*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 - 2. Let m = 2 - i. Let p = -0.2982 + m. What is p rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18865747 is divided by 770.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -332105, -332054, -331999, -331940, -331877, -331810?\n\"Answer: 2*o**2 + 45*o - 332152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99593\/7002 - 1\/778. Determine f so that -20\/9*f**4 - 2\/9*f**5 - j + 160\/9*f - 50\/9*f**3 + 40\/9*f**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.8 - -11.8. Let j = 1.1 + -1. Put n, j, 19, -3 in descending order.\nAnswer: 19, j, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-720)*16)\/((-2)\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3913 > 3913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 15 - (0 - -1). Let u be 2\/3*90\/y. Suppose 5*o - 22 = 2*d, 0 = 2*d + o + u*o - 14. Which is bigger: d or -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -31, -63, -127, -235, -399?\n\"Answer: -2*z**3 + 2*z**2 - 4*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.043 - 0.257. Are -0.03 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (3 + (2 - (6 + -1)) + 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 0*p + 2*p)*(0 - 4 + 2) + (-1 + 3 - 4)*(-9*p - 2*p + 13*p + 26) to g + b*p and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115 + -13154?\nAnswer: -13037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-13\/3))**(-1\/21) assuming f is positive.\nAnswer: f**(10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 5*i + 13. What is r(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27071114.\nAnswer: 2, 7, 83, 23297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*z - z, z + 6 = 4*j. Suppose -3*c + 32 + 29 = -2*n, 48 = j*c - 5*n. What is the remainder when 52 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 10. Suppose -2*a + v = -4*a + 8, 3*v = 4*a - 16. Let n be u(a). Solve n*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29259.82216 + 29262. Let t = -2.1138506 + k. Let w = t - 0.064. Round w to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 2.2. Let z = l + 1.878. Round z to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477, 625, 779, 939?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-3\/5)*m))**(3\/4) assuming m is positive.\nAnswer: m**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8137294 to the power of 1\/2, to the nearest integer?\nAnswer: 2853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 5*u - 25, -15 = -385*u + 382*u + 3*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -718, -1373, -2026, -2677, -3326?\nAnswer: -3973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12771 + 0.1364. What is m rounded to four dps?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -22. Let r = j + 7. Let s = -4 - r. Solve -x + t + 3*t + 3 = s, -4*x + t - 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0*w**3 + 0*w**2 - 1\/4*w**4 + 0 + 48*w. Let t(o) = 3*o. Give t(l(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -29768392.6424147+2\nAnswer: -29768390.6424147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -885*k - 300*k + 4740 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(4\/5))**(7\/6) assuming q is positive.\nAnswer: q**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -18. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*r + 49*r + 155. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6091000 to the nearest one hundred thousand.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 + 70*w**2 - w + 36. Let r be v(35). Sort 3, -12, 14, r, 5 in increasing order.\nAnswer: -12, r, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -735*h**2 + 353*h - 4 + 3123*h**2 + 4 - 2 wrt h?\nAnswer: 4776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -765 by -1.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 8:20 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(((sqrt(1152) + 1 - (sqrt(32) - (sqrt(96)\/sqrt(3) + -1))) + 5)*-6)**2 + -2).\nAnswer: -762690 - 155520*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*q + 31, -4*j + 21 = -j + 3*q. Let a(h) be the first derivative of 0*h + 2\/3*h**j + 1 - 5\/6*h**4 - 2\/3*h**3. Factor a(m).\nAnswer: -2*m*(m + 1)*(5*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 40*c**2 - 204*c - 10. Let m(d) = 20*d + 1. What is 10*m(p) + x(p)?\nAnswer: 2*p**3 + 40*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82.1 + 82.2. Which is the smallest value? (a) -155 (b) 4 (c) 1\/5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59\/2, 0.3, 1, -0.4161.\nAnswer: -0.4161, 0.3, 1, 59\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 128\/56 - 4\/14. Let a = -28 + 41. Suppose a - 9 = g*y. What is the lowest common multiple of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*15\/(-15)*((-20358)\/18)\/13?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07249533 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*2\/4*(-40)\/50?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43683622*b**2*p**2 - b**2 - 7*b*p - 224*b + 6*p - 20 wrt p?\nAnswer: 87367244*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from kkuuuukkukuuuukkucu?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*f**2\/7 - 2258*f\/7 - 32604\/7.\nAnswer: 2*(f - 38)*(41*f + 429)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 11 - (-6 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149047 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 5*b + 5. Let s be u(6). Suppose -c = -3*y + 4*c + 21, 4*y = c + s. Suppose 2*t = -3*i - 3*t, -5*t = y*i. Which is bigger: i or -3\/20?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*6\/8*2. Let r(s) = -b*s**2 + 4*s**2 + 0*s**2 - s. Let o(m) = m**2 + m - 4. Let k(i) = -o(i) + 2*r(i). What is k(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 + -138. Let j be (4\/(-10))\/(s\/(-1700)). Let a(i) = -7 + 69*i - j*i - 34*i. Determine a(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46907122 rounded to the nearest ten thousand?\nAnswer: -46910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -99, 25010, 0 in descending order.\nAnswer: 25010, 0, -1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 20712955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-12))\/(2\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 7) + (15 - 25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 276*y.\nAnswer: -2*y*(y + 690)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (-1 + sqrt(891) + sqrt(891)))**2*-6.\nAnswer: -5352 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 1, k: 4}. Give prob of sequence rrk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1853918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4350, -8712, -13068, -17418, -21762, -26100?\n\"Answer: 3*p**2 - 4371*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 0.07?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -13 - 17. Let m(s) = s - 3*s**2 + u*s**2 - s. Let c(n) be the third derivative of n**4\/24 + 3*n**2. Give c(m(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 280, 2242?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18 - (-511396)\/(-8))*(-6)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 306818.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 606131*h**3 - 4*h.\nAnswer: 606131*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 14, -18*d - 29 = -20*d - 5*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10713288 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**2 + 68*t. Let n(z) = 25*z**2 + 205*z. Let j(k) = -8*l(k) + 3*n(k). Let c(o) = -3*o**2 - 18*o. Let g(u) = -9*c(u) - 2*j(u). Factor g(i).\nAnswer: 5*i*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*sqrt(405) + 0 + -2)*-5)**2.\nAnswer: 2700*sqrt(5) + 40725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 540?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -434 + 113*q + 434 in the form m*q + f and give m.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524312380 to the nearest integer?\nAnswer: 22898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 3*s - 2*s)*(-2*s**2 + 0*s**2 + 0*s**2) - 2*s**3 + 11*s**3 + 10*s**3.\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -5. Calculate the least common multiple of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44344 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 244 + 224 + -494 - (-1 + 77).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 88547 + 2*k**3 - 175011 + 86464.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5\/3 - 23*d**4 + 7652*d**3 - 246428*d**2\/3 + 296160*d - 353856 = 0?\nAnswer: -194, 3, 4, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 88*a - 551. Determine o(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215 - 214. Let d be (-2 - n) + (-20)\/(-10). Let j = 1 - 0.6. What is the closest to 1\/2 in d, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 51*v + 29. Calculate i(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Suppose 3*i - 1 = -z, -y + 5 = -2*i + 3*z. Suppose i = 5*l - 0*l. Solve s + 3*q - 17 = l, -2*s = -q - 4 - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) - 4*sqrt(240))\/(sqrt(84)\/sqrt(7)*-5).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*n**2*q*u**3 - 3*n**2*q + 6*n**2*u - 49*q*u**3 - q*u**2 wrt n?\nAnswer: -20*n*q*u**3 - 6*n*q + 12*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2 - 7993182*o + 5324246540427 = 0.\nAnswer: 1332197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -8453283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000384966 rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 579*c**3 - 12*c**2 - 16*c - 42 - 578*c**3 - 5*c**2. Let z be m(18). Is 87*(-4)\/z - (-7)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592*w**3 - 672*w**3 + 1268*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 580.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2) - 8\/(-4). Suppose -z = -4*x + 54. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 626, 624, 622?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -374*a**4 - 438?\nAnswer: -1496*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-10)*90\/54.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (3\/75*10 - 5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + 0*o)*(-2*o + 4*o - 6*o) + (o - 4*o + 5*o + (-1 + 2*o + 1)*(4 + 2 - 4))*(15*o - 19*o - 21*o).\nAnswer: -154*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1173)\/(-138))\/((12\/(-16))\/((-6)\/4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -52*u**2 + 1894*u + 19005. Give a(-10).\nAnswer: -5135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 179614577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/16 + 443\/240. What is the common denominator of -109\/204 and t?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.094 + -0.394. Suppose 0 = 11*l + 9 + 2. What is the closest to l in j, -3, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/(a\/((a*a*a**1)\/a)*a))\/((a**0\/a*a)\/(a\/(a*a*a*a**(-1\/2)))) assuming a is positive.\nAnswer: a**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/26 - (9494\/(-1833) - 8\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 122 + 215\/43*12\/(-10) - -4. What is the highest common factor of g and 960?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 19, -0.017, 20.74?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -499779 and 22.24?\nAnswer: 499801.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + c - 398 + 1390, 2*h = 5*c + 644. Is (-4)\/(-8)*-6 + h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c6c2 (base 13) to base 4.\nAnswer: 12232100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + ((-246)\/(-170) - 1)\/(805\/(-16100)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*p**2 + 33 - 33 - 7*p**2 to the form j*p**2 + o + y*p and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.5185116 rounded to 0 decimal places?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3234840 and 1905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2. Let t be -1 + 13 + (-1 - 0). Let g(q) = t*q**2 + 4*q - 5*q + q. Give g(u(h)).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80286*f*m**4 - 8*f*m - 784*f - 30*m**4 - 55*m**2 + 2*m wrt m?\nAnswer: 1926864*f*m - 720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 644 - 641. Let j = 3 + 1. Suppose 0*l - 4*l + 6 = 5*g, j*g = -3*l + 4. What is the nearest to h in 0, g, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-4\/5)*w)\/(w**(1\/2)*w))**4 assuming w is positive.\nAnswer: w**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/128, -5, 1, 1\/5, -29, 23.5?\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*26\/6*(-2 + 9 + -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.20459 - 0.204570658. What is a rounded to seven decimal places?\nAnswer: 0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 85?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921664 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((2\/(-14))\/1). Suppose -147*u - 4 = -188 - 404. Solve u - d = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 5:46 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.05 - -10.55. Let w = 0.017 - 0.017. Which is the second smallest value? (a) 0.1 (b) g (c) -4\/3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q - 288 = 110*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*m + 1707, 3*m - 62*a = -67*a + 1677. What is the highest common divisor of m and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -6, 125, 376, 789, 1406, 2269, 3420?\nAnswer: 4901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/7616682 and 46\/1539.\nAnswer: 68550138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57280 - 30742 = 1783*z + 2218*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.089 + 1.13284. Round o to three decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.31 (b) -4 (c) -11\/3 (d) 2\/113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/137, -2, -0.5, 5173, 0.04?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78778 or -78776?\nAnswer: -78776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 240 * 0.61.\nAnswer: 146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 509359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 30252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9347380829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 8. Let b(w) = -w**3 - 5*w**2 + 6*w + 4. Let l be b(-6). Suppose v + 22 = -l*v - 2*c, -14 = 3*v + c. List the prime factors of q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 5) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.4 - 10.39. Suppose -1 + 4 = -c. What is the nearest to 1 in b, c, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 15) to base 16.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12913 = 12*l - 13321 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 3, k: 2, l: 4, x: 4, c: 3}. What is prob of picking 1 d and 1 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 6*x + 2*u + 81, 4*u = -4*x + 128. Calculate the remainder when 250 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(1 + 159\/6)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:55 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*b - 7 + 9 - 2 to the form r*b + t and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 4*m - 4. Let u be l(7). Let h be 22038\/(-4)*u\/(-6936). Let x = 186\/17 - h. What is the common denominator of -87\/4 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k - 3. Let c(g) = 11*g + 5. Let x(n) = -4*c(n) - 9*i(n). Let a be x(-6). What is the greatest common divisor of 7 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6 = -5*t, 0 = -0*d - 5*d + 5*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 7. Let k(u) = -u**2 + 11*u - 16. Calculate the remainder when k(9) is divided by r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r + 78 + 98 = -76 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/29 or 0?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2159*w**3 + 2165*w**3 - 4326*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/13 + (-21 - -4 - -16)\/((-78)\/(-543))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42\/5*h + 3\/5 + 147\/5*h**2 = 0.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 110 - 116 + 3414*b + 452 - 111 - 3416*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, v: 1, u: 2, n: 9, p: 1}. What is prob of sequence pt?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 726 and 408?\nAnswer: 49368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 1\/3*l**3 + 0*l - 2*l**2 - 1\/420*l**5 + 1\/1260*l**6 + 0*l**4 + 0. Let t(h) be the first derivative of w(h). Factor t(p).\nAnswer: 2*p*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 602*b**3 + 5110*b**2 - 4651*b - 979. Let n(w) = 177*w**3 + 1503*w**2 - 1368*w - 288. Let m(s) = 12*k(s) - 41*n(s). Solve m(f) = 0.\nAnswer: -10, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19600 times 708\nAnswer: 13876800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -32*l**2 - 16*l + 4. Let s(j) = -j**3 - 2*j**2 - j - 2. Let i = 364 + -348. Let w(a) = i*s(a) - v(a). Differentiate w(c) with respect to c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465 divided by -93.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 666 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 105*b**4 - 495*b**3 + 975*b**2 - 845*b + 260. Let i(k) = 8*k**4 - 38*k**3 + 75*k**2 - 65*k + 20. Let z(r) = -40*i(r) + 3*p(r). What is v in z(v) = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 4458304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 12 = -0. Let a(y) be the first derivative of y**3 + 10 - 5 - 5*y**3 + 3*y**m. Suppose a(d) = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2155723\/99 - -21775. Which is the closest to 1? (a) -0.4 (b) m (c) 20 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -3 (c) 20 (d) 0.4 (e) -5 (f) 63.729 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40 and -0.03261.\nAnswer: -40.03261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -1. Let a(b) = -b + 2. Let v be a(0). Is (l\/6)\/(v\/(-84)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*o + 77 - 4 = 0, -4*i = 2*o - 96. Let w(c) = c**3 + c**2 - c - 27. Let m be w(0). Let z = i + m. Sort 3, 5, 1\/8, z in descending order.\nAnswer: 5, 3, 1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3\/5 - 460*z**2 - 375086*z\/5 + 377388\/5 = 0. Calculate z.\nAnswer: -953, -198, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147862581.\nAnswer: 3, 173, 284899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49, 42, 31, 16, -3, -26?\n\"Answer: -2*j**2 - j + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 1. Let u be l(6). What is the greatest common divisor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/3)\/(d*d**(3\/4)*d))**(4\/29)\/((d**(4\/7)\/d)\/(d\/(d*d*d**(-3)))*(d**0)**(-4\/7)) assuming d is positive.\nAnswer: d**(1388\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 6*k - 1)*(9*k**4 - 2*k**4 + k - 5*k**4).\nAnswer: 12*k**5 + 2*k**4 + 6*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -7*g**5\/4 + g**4\/4 + 1953*g**2 + 20*g + 2. Differentiate v(w) with respect to w.\nAnswer: -105*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 + 3 = 5*p, 2*p - 2*z - 12 = 0. Let t = -35373 + 247617\/7. Determine m, given that 22\/7*m - 22\/7*m**3 + t - p*m**2 + 8\/7*m**4 = 0.\nAnswer: -1, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 15\/251 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 122580 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7636, 30549, 68732, 122179, 190884, 274841?\nAnswer: 374044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7463186750 to the nearest 1000000.\nAnswer: -7463000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -116a587 - -5?\nAnswer: -116a582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24803455 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 924.2782t?\nAnswer: 924278.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 4. Let q = v + -4. Let f be 54\/15 + (-4)\/q. Which is the third smallest value? (a) 0 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1130020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 42 = 2*z + 78, 5*n - 21 = 3*z. Solve 0 + 1\/11*t**z - 1\/11*t**2 + 0*t = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/2550 + ((-1182)\/1071 - -1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 268*j*q**2 + 867*q**2 wrt j?\nAnswer: 268*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 348 + -347.999673. Round p to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*z + 15, 7*f - 3 = 3*z + 2*f. Solve 35 = -z*a + 3*l + 13, 0 = -3*a + 3*l - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 3140 = 4*g - 34*c, g - 782 = 2*c. What are the prime factors of g?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6040727 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 6*a - 2*a)*(a - 2 + 2) + 0*a**2 - 4*a**2 - a**2 - a**2 + a**2 + 2*a**2 + (-a + 5 - 5)*(a - a - a) - 1 + 1 + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577471439?\nAnswer: 101, 647, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 50 + 50 + 90*a**2.\nAnswer: 90*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13187 + 461607\/35. Find the common denominator of j and 77\/1095.\nAnswer: 7665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4 and 155\/114.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85712\/2922)\/(-3*6\/27).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*g + 20 + 26 - 46.\nAnswer: -184*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 15. Let w be (-32)\/r + 2\/(-9). Let v(t) = 35001*t + 2. Let a be v(w). What is a rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3018330 divided by -3.\nAnswer: 1006110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-40)*y*y**(25\/2)*(y*y*y**(4\/11)*y)**(-6\/19))**(20\/9) assuming y is positive.\nAnswer: y**(-115210\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 18. Let u(v) = 1. Let k(t) = q(t) - 2*u(t). Differentiate k(s) wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1219 - -1306. What is the smallest common multiple of x and 27?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 22. Suppose 0 = -w + 5*u - 3*u - 8, -u = -5*w - 4. Suppose w = z + z - y. Solve -6 = -z*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + k**2 + k + 52. Let l be 16\/(-28) + (-24)\/7. Let d be ((0\/(-3))\/l)\/(-1). What is the tens digit of c(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 14. Suppose 2*x - 2 - 6 = b. Let j be ((-4)\/6)\/(x\/(-1296)). What is the highest common divisor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192281469 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058202463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6110, -7365, -8586, -9755, -10854?\n\"Answer: 3*z**3 - z**2 - 1273*z - 4839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*d - 5*f - 0, 3*d + 3*f - 15 = 0. What is the remainder when 77 is divided by (117\/18)\/(d\/4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5051 - 2251?\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 - 2*a**3 - 52*a + 57*a + 174 + 5*a**3.\nAnswer: -2*a**3 + 5*a + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, 1 s, and 1 a when four letters picked without replacement from nuasuuururnu.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 47 = 3*r. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 20. What is s(11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34355475 and 6930?\nAnswer: 68710950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10423, 10491, 10605, 10765, 10971, 11223?\n\"Answer: 23*t**2 - t + 10401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-15)*39\/(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/70 - (-135)\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*z - 2693, -a + 311 = -3*z - 568. Let b = a + -626. Is b a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-10)\/(-24) + (-3)\/(-9). Let x = -572.7 + 548. Let u = x + 24. Which is smaller: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 44. Suppose -b*z - 4*x = -8*x - 1697, -4*z - 3*x + 1370 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 3*f - 5. Let q(x) = x**3 + 2*x + 4. Determine 3*q(y) + 2*u(y).\nAnswer: 3*y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4472 is divided by 95?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -407 + 710. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/38240 and 67\/185172420?\nAnswer: 1481379360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/11 - 1062*b**3\/11 + 74002*b**2\/11 + 60333678*b\/11 - 407261656 = 0. Calculate b.\nAnswer: -397, 76, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 15*w = -992. Let h be (-8)\/60 + w\/60. Sort -5, 11, h, -3 in descending order.\nAnswer: 11, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/270 - f**4\/36 + 2*f**3\/27 + 6*f**2. Let s(c) = 0. Calculate c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 77*l - 4. Is o(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 4*b**2 - 2*b - 2. Let w = -14 + 10. Let x be u(w). Let o be 21\/x - (-2)\/4. Solve -k = o*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-434)\/28)\/(40\/(-120))*4\/(-3)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**3 + 9*f**2 + 5*f + 31. Let r(z) = 2*z**3 + 4*z**2 + 2*z + 15. Determine 4*d(g) - 9*r(g).\nAnswer: 2*g**3 + 2*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160310 and 10948.\nAnswer: 2244340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 146, 271, 406, 557, 730?\n\"Answer: v**3 - v**2 + 121*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/((2*sqrt(50))\/sqrt(5)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*f**2*w**3 - 2*f**2*w**2 - 31*f**2 - 281815*f*w**3 - 2*f*w**2 - w**3 - 2*w**2 + 617 wrt w?\nAnswer: 120*f**2 - 1690890*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -186, 2, 2005, -4 in ascending order.\nAnswer: -186, -4, 2, 3, 2005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 1, -30, 2, -3.\nAnswer: -30, -3, 1, 2, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -37*q + 221. Let f be 62\/(-155)*(-30)\/(-8)*-4. Let l be k(f). Suppose 0 = -3*t - t. Does l = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 9*l + 10*l)*(l - 3*l - 4*l + 3*l + 0*l - 5*l + (-1 + 2 + 1)*(0*l - 5*l + 3*l) + l + 0*l + 0*l - 3*l + 3*l - l) as x*l + f*l**2 + w and give f.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 2:51 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**9*(j**4\/j)\/j)**(-49) assuming j is positive.\nAnswer: j**(-588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (-35)\/(-7)) + (-2)\/(-1). Sort z, -17, 0, -5 in increasing order.\nAnswer: -17, -5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**3 + z**2 - z - 4. Let d(m) = -11*m**3 - 3*m**2 + 5*m + 1189. What is d(y) + 3*k(y)?\nAnswer: y**3 + 2*y + 1177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12989698 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 5:56 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhzpzhpphp. Give prob of picking 2 z and 2 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8221800 divided by -710?\nAnswer: -11580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 212*p - 7003 + 2388 - 3868 - 1057 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((3 - 15)\/4 + 2). Suppose 0 = -3*h + 4*w - 10 + 2, -2*h = -y*w + 2. Solve 0 = c + h*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50352707*f*x**3 + x**3 + 54*x**2 + 3*x + 23942 wrt f.\nAnswer: 50352707*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033713 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 + 157. What is the highest common factor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 458545835 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -11 - 10 - -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-10)*(-25)\/(-10)*2. Let t be ((-2)\/(-36))\/(h\/12). Which is the second biggest value? (a) -2\/57 (b) t (c) 2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -916, -912, -906, -898, -888, -876?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = -12, -r - 460 = 4*p. Suppose -7*o + 254 = -936. Let m = p + o. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from qqqqqoooqoqqoqqq?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22134030?\nAnswer: 2, 3, 5, 737801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and -0.0221.\nAnswer: -13.0221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.5 + -10.5. Sort c, 0.2, 1 in decreasing order.\nAnswer: c, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1974 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-22))\/(((-2)\/10)\/((-35)\/(-14)))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgzgzsbb. Give prob of sequence gbbv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43450 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87, 4, -79, -162?\n\"Answer: -83*j + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q**3 + 17*q - 17. Calculate i(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*w + 161*l**2*w - 11*l*w - l + 3*w - 14 wrt l.\nAnswer: 6*l*w + 322*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 1155 = -0*o. List the prime factors of o.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2647.639?\nAnswer: -2647.639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 111 = -o, 3*g + 4*o = 49 + 47. Suppose -9 = -77*c + 76*c. Calculate the least common multiple of g and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/4 (b) -2 (c) -4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41581037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111310044 (base 5) to base 6.\nAnswer: 1223344334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggygmyygyggggyggm. What is prob of picking 1 g and 2 y?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 297135721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 4*l**2 + l + 1. Let t be p(4). Let o = t - 0. Suppose -o*j + j + 340 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2. Let w(n) = 5*n**2 - 4. Let b(m) = 6*m**2 - 5. Let u(a) = 4*b(a) - 5*w(a). What is c(u(q))?\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1930442527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*z + 3 - 111. What is the third derivative of -3*y**2 + 29*y**2 + 39*y**3 + 20*y**2 - z*y**2 wrt y?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjjxcx. Give prob of sequence xjj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 80. Let h(b) = -233*b + 58*b + 55*b + 59*b + 59*b. What is h(a(i))?\nAnswer: 2*i - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14188.\nAnswer: 2, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*(-56)\/18*(-264)\/154?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**7\/14 - k**6\/15 + 50*k**4\/3 + k**3\/3 + k**2\/2 - 4728*k. Find the third derivative of x(o) wrt o.\nAnswer: -180*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.45548 less than -62624?\nAnswer: -62790.45548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = -0*b. Suppose b = 5*t - 14. Calculate the remainder when (3\/2)\/((-1)\/(-4)) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m + 2*m - 4*m**4 + 196 - m**2 + 2*m**4 - 200 to the form t*m**2 + u*m**3 + p*m + k + j*m**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 110249430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -63779.329 to 0 dps.\nAnswer: -63779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:21 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-14) - 3195\/(-105). Let y = 109 + -34. What is the greatest common factor of u and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1520 and 2910\/(-45)*(-9)\/(-1824)*2?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 667 - 691. Let l(n) = -n**3 + 13*n**2 - 43*n + 27. Let y be l(u). Solve -w = y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(312\/132) + 13\/26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11464183 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-10))\/(-6*48\/1440)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09739 - -0.092987. Round b to four decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.09 (b) -0.5 (c) -60 (d) -2 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 7\/12*j**4 + 0 + 1\/10*j**6 + 19*j + 0*j**2 + 0*j**5 + 0*j**3. What is the third derivative of h(m) wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 13 + 12. Let y(j) = j**2 - 3*j + 8. Let v be y(3). Solve p*g + v = -12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q + 18 - 14*q + 7*q)*(0 + 1 + 0).\nAnswer: 2*q + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 6*y + 2. Let s(p) = p**3 + 4*p**2 + 2*p + 1. What is the remainder when w(5) is divided by s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*w**2 - 1\/4*w**3 + 0*w = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 l when three letters picked without replacement from fxrxrhrlgrlffxfrrx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4176900 divided by 59670.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (1 + sqrt(22)\/sqrt(2)) - (2*sqrt(121) - sqrt(121))\/sqrt(11).\nAnswer: -sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 + 0 = 4*i, -4*i = -4*a + 8. Suppose -4039 = q - i*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a**3 - 4*a**2 - 7*a - 7. Let p(w) = 4*w**3 - w**2 - 2*w - 2. Let u(j) = 7*p(j) - 2*t(j). Find the third derivative of u(k) wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22 + -26 - (-384)\/(-2). Let z = l + 348. What is the remainder when z is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36925\/(-385) + (-388)\/(-4)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1865 divided by 82\nAnswer: 1865\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y = -4*x - 164, 4*y - x - 19 - 6 + 3 - 19 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617486 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v. Suppose v = -t + 78 - 18. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3251? (a) -3 (b) 0.4 (c) -0.1 (d) 2\/7 (e) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.2 + -4. Let c = -0.2 - y. Let u = 11.5 - 12. What is the closest to 2 in c, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002019929 rounded to five dps?\nAnswer: -0.00202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -165 and -13.\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 2. Let u = 207\/5 + m. Suppose -5*n + 6*a - 3*a - 12 = 0, -5*a = -2*n - 20. Is u less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 12*s**2 - 15*s - 43. Give v(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -1. Let i(l) = 3 + l - 6*l**2 - 6*l + 2*l + l**3. Let m be i(f). Solve 4*q - 5*j - m = 0, 8 = 4*q - j - 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/90*(-15)\/50.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.463 + -0.463. Which is the biggest value? (a) -8 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3394.79s?\nAnswer: 3394790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -106*j**3 + 132. Let l(t) = -849*t**3 + 1056. Let q(f) = 33*d(f) - 4*l(f). Differentiate q(h) with respect to h.\nAnswer: -306*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 + 1. Let j = -0.05 - 0.95. Let d = b - j. What is d rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17877 + -17876.9. Let i = 1 - -1. Which is the closest to m? (a) i (b) -2\/25 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 7*o + 0*o + (o - o - o)*(-1 + 4 - 2) - o + 3*o + 0*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 383.\nAnswer: -1532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - f + 15, -3*h + 2*f + 3 = 5. Let y be 13\/3 + (126\/27)\/7. Put y, 8, -5, h in increasing order.\nAnswer: -5, h, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 152.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4*-1 - -3)*-1. Let b be 16\/(-2)*(6 - 11\/2). Sort b, -5, 0, t in decreasing order.\nAnswer: t, 0, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108714 rounded to 3 dps?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 236 + -13227356?\nAnswer: -13227120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h**2 + 47*h - 2. Let p(n) = -n**2 - 3*n + 1. Determine -5*p(q) - t(q).\nAnswer: 16*q**2 - 32*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/((-4)\/(-4)) + 476\/14. Solve 18 = -5*y + p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c**3 - 8*c**2 - 15*c - 5. Let t(m) = -20*m**3 + 14*m**2 + 32*m + 9. Give -4*t(f) - 7*y(f).\nAnswer: 3*f**3 - 23*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*m - 492 = -98, -3*f = -m - 1212. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-62200)\/(-18660))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1930 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 97629775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**3\/3 + b**2\/2 + 3*b + 5. Determine z(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d. Let b(z) = 7*z**2 - 29*z. Determine p(b(w)).\nAnswer: 42*w**2 - 174*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60435 and 1628685?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-28173)\/(-4))\/((-210)\/(-560))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29131, 34196, 39261, 44326, 49391, 54456?\n\"Answer: 5065*a + 24066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -8836*a**4\/7 + 17860*a**3\/7 + 132163*a**2\/7 - 2818*a\/7 + 15\/7 = 0.\nAnswer: -3, 1\/94, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 23*j**2 + 2*j**2 + 11*j.\nAnswer: 25*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2372 + 2390. Suppose -l - 60 = -4*l. Calculate the lowest common multiple of n and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4\/5*o**2 + 3668\/5*o + 0 = 0.\nAnswer: 0, 917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 7*b**2 - 6*b - 4. Calculate w(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.4, -0.01, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3019 and 0.051.\nAnswer: 153.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, -29, -131, -275?\n\"Answer: -21*h**2 + 3*h + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*r - 3*r - 5*o, -15 = -5*r - o. Suppose 0 = r*z + x, 0*z = -z + 3*x. Let k(y) = y**3 - y**2 - y + 119. Is k(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -4*o + 890. Let t = o + -5. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 5)*(-3 - 2 - 5)*(x - 3*x**2 + x + 0*x**2 - 2) as i + q*x**2 + o*x and give q.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3182 and -27\/11137.\nAnswer: 22274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 + 2059 = 5*v. Let j = v - 211. What are the prime factors of j?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 5*x**2 - 10*x - 8. Suppose 15*u = -88 - 2. Let a be q(u). Put a, 1, 3 in increasing order.\nAnswer: 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 4:15 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/570)\/(2 + (-5)\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014 = -7*v + 23911. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 175 and 296774137.\nAnswer: 296774312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62279 and 476133.\nAnswer: 14760123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 455.4017nm in kilometers?\nAnswer: 0.0000000004554017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/1437?\nAnswer: -10\/1437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53935457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -999.\nAnswer: 4\/999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 42 = 4*f - 0*i, 32 = -4*f - 4*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -150 + 110 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -0.1, -1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q + 42. Let f be g(6). Solve -o - o = f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 164*u + 160*u + 23, u = -5*t + 27. Suppose -2*w + 8 = 5*c, -5*w - 8 + 28 = 3*c. Sort -96, t, w.\nAnswer: -96, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5920*n + 4917*n - 6628*n - 5 - 3986*n.\nAnswer: -11617*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.96 + -0.9572. Round q to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93 - 43 - 50 - 952*s to the form r + c*s and give c.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 5, -6, 0.\nAnswer: -6, -2, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (1 - -2)*1. Suppose -b*x + 56 = -2*x. What is the lowest common multiple of x and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a meter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 + 10*v - 9. Let h be k(9). Suppose -5*g + 40 - 15 = h. What is the remainder when 24 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:59 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 13\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -122022 (base 3) in base 8?\nAnswer: -723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -84. Suppose q = j*q - 76. Calculate the remainder when q is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 2*y + 23, -4*y - 553*h = -555*h + 26 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003491401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c + 2b?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/720 and 37\/1236?\nAnswer: 74160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 629 - 615. What is the remainder when 81 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-36)*9\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13923 - 53469553.9?\nAnswer: -53483476.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + -7 + 1 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1432\/(-30072)*-3*10*-1.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n - 12. Let q be -3 - (2 + (-2)\/n*-4). Let l(x) = -x**2 - 4*x + 5. Let h be l(q). Solve -h*k + j + 18 = -4*k, -2 = -3*k - 5*j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -3. Let b be (t\/(-2))\/((-2)\/(-10)). Let m be (6\/(-32))\/(13\/52). Sort b, 0.4, m in increasing order.\nAnswer: m, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awa. Give prob of sequence aw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -569*m**4*q**3 + 53961*m**4*q + m**2*q**3 - 67067*m**2*q**2 + 2*m*q**3 + m - q**3 + 16*q wrt m.\nAnswer: -13656*m*q**3 + 1295064*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43240513 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 5025900 - 5025903 + 11*l**3 + l**2 - 22*l**4 to h + f*l**2 + u*l + t*l**4 + d*l**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - r + 3, -28*o + 3*r = -31*o - 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 1. Suppose r*f = 5*z - 19, 2*z + 0*z - f - 7 = 0. Let o(j) = -2*j + j + 2*j - z*j + j**2. Let c(d) = -2*d**2 + 2*d. Calculate 3*c(q) + 5*o(q).\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 4:30 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -16\/23 (b) -5 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**3 - 8. Let q(g) = 0*g**2 + 1655736*g - 1655736*g + 7 + 5*g**3 + 0*g**2. Give 6*a(m) + 7*q(m).\nAnswer: -m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-98) + (-12)\/42. Let u = 43\/147 - h. Let y = 1 - 2. What is the nearest to y in u, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.19 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2*u**6\/15 + 2*u**2 + 2*u + 5. Let s(m) be the first derivative of i(m). Differentiate s(h) wrt h.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.233 + 6.\nAnswer: 6.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 + 42*n**2 - 14*n - 52. Give s(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + c - 28 = -2*p, 34 = 2*p + 4*c. Let q(n) = 4*n - p*n + 7*n. Let z(a) = -a - 5. Let o(r) = -4. Let u(l) = 5*o(l) - 4*z(l). Calculate q(u(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, x: 3}. What is prob of picking 3 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -16, -1461, -0.3 in increasing order.\nAnswer: -1461, -16, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:01 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/34, 29\/4085, 2, 19?\nAnswer: 29\/4085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 1:35 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 6 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449906311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (770\/(-55) - 74\/(-4))*(-1)\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51706 + 51991 = -19*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11967.2 at most as big as 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 3*p**2\/2 + 2*p + 3. Let m be n(8). Calculate the greatest common divisor of m and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**6\/60 - u**5\/20 + u**4\/6 - u**3\/6 + 2507*u**2. Let l be (4 + -3)\/((-2)\/6). Give j(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 1, 13465, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4 - 24788*q**3 - 248080*q**2 = 0?\nAnswer: -10, 0, 12404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11441495 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1537, -2, 793 in decreasing order.\nAnswer: 1537, 793, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8.2. Let d(y) = -y**3 - 3*y**2 + 2*y - 3. Let u be d(-4). Suppose -3*o - u = 2*o. Which is the nearest to o? (a) -1 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1 (c) -0.07 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 484 - 8. Calculate the remainder when c is divided by (-47)\/376 + 363\/24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 2, p: 4, i: 1}. What is prob of picking 2 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7796089409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.861 - 0.021. Let k = i - -0.16. Which is the smallest value? (a) -0.4 (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9843 + 9842.999993811. Round p to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6096 rounded to the nearest one hundred?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z + 4 = 41*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.5. Let j = -0.35 + -0.05. Let w be (-42)\/(-8)*((-305)\/35 - -9). Which is the closest to -2\/3? (a) g (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = -13*h + 79184 + 5340. What are the prime factors of h?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 501.5, 2, 1\/2, 1 in descending order.\nAnswer: 501.5, 2, 1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h**2 + 24*h + 55. Let j(m) = -3*m**2 + m. Let w(b) = 4*j(b) + x(b). Give w(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-46)\/(-4) + 3\/6. Let r(p) = -p**3 + 11*p**2 + 11*p + 17. Let d be r(h). Suppose 3*w + 4 = d*w. Solve 5 = 2*l + 5*k, -l + w*k = -0 + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8634 + -8638. Let j be (18\/6)\/(3\/2). Suppose 0 = j*g - 2*a + 12, 4*a = 2*g - 0*a + 20. Put -0.2, g, -3, z in descending order.\nAnswer: -0.2, g, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a - 3394*a = 3104*a + 307991 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31031013 + -11?\nAnswer: 31031002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107 - 207 + 28 - 3 + 4 + 0 + (2 - 2 + 2)*(-4 + 3 + 2))*(-3*n**2 + n**2 + n**2) to the form c + u*n**2 + f*n and give u.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 36 = -3*m. What is the units digit of (-1*(1 - -200))\/(m\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/30*(-11)\/99*-45?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Let v = 0.0473 + -0.0473. Which is the nearest to v? (a) k (b) 0.5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 6*x - 144. Solve -x = -34*q + 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j**3 - 5*j**3 + 4*j**3 + 7 - j**3. Let m(r) = -5*r**3 + 3. Let d(s) = -6*a(s) + 11*m(s). Differentiate d(n) wrt n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnc when three letters picked without replacement from nnncnncc.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94290 and 56.\nAnswer: 377160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462749696?\nAnswer: 2, 3, 317437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 539*c + 1276*c + 242*c + 127534 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -46234?\nAnswer: -46234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2\/3 - 268*c + 5474272\/3 = 0.\nAnswer: -2776, 1972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-59)\/(-2) - (-3)\/1. Is d equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from culblcjculi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7517 + 7517 + 2*c - 27*c**3.\nAnswer: -27*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**3 + 75*s**2 + 230*s - 4164. What is y(14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11061, 3, 1, 0, -4, -9 in ascending order.\nAnswer: -11061, -9, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13 greater than 79\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-5 - -1)*-1. Let x(a) = a**2 - 20*a + 96. Let h be x(13). Solve -2*t - 22 = -4*o, s*t - 2*t - h = -5*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.01069 months in millennia?\nAnswer: 0.0111675575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 9*i**2 + 9*i - 20. Let r be k(-10). Let u be (-5)\/(r\/(-4) - 5). Solve 2*q - 5*w = u, -4*q + 0*w - 8 = -4*w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 5*p + 15 = 0. Let k(w) = w**2 + 2*w + 2. Let l be k(-3). Suppose l*g - p = 2*d + 27, -24 = -4*g + 2*d. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 3*p + 2 - 3. Let s(r) = 7*r - 6. Let j(c) = -c. Let d(f) = 2*j(f) + s(f). Give -6*a(m) + d(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 8:39 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 290.3 + -565.4. Let r = u - -274. Which is the biggest value? (a) 0.04 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*o + 316 + 84 = 0, 0 = -4*j + 3*o + 535. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 235847420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 673131856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - 33 - -20 - 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -109 and 0.71.\nAnswer: -77.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 494261 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = -k - 36, -3*k - 89 = -4*z. Let s = k - -31. Solve 20 = 5*d + 5*q, 0*d + 3*d - 4*q + 23 = s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-232)\/56 + 2 - -2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 110 = -0*l. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2511 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from dahathfatdda?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m)**(-40)\/(m**9\/m**11) assuming m is positive.\nAnswer: m**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1325 - -315?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5 + 112*k**4 + 1096*k**3 + 1760*k**2 = 0. What is k?\nAnswer: -44, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plpllillipllilpillll. Give prob of sequence ip.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/6)*s)\/s**(-9))**(-11) assuming s is positive.\nAnswer: s**(-715\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3722717225 + 3722567943.39873. Let t = q + 149289.6. Let k = t - 8. Round k to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y. Let j(c) = -c + 1. Let i(g) = -g + 2. Let z(p) = -i(p) + 2*j(p). Calculate z(m(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 864*c**4 + 541.\nAnswer: 3456*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2448))*-5*2 + 3.\nAnswer: -120*sqrt(17) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-465477)\/34)\/(2\/(-8)). Suppose -180*c + 174*c = -b. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*t**5 - 11*t**5 - 37*t**6 + 3*t**2 + 32*t**2 - 2*t wrt t.\nAnswer: -4440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3767? (a) -1\/3 (b) 17 (c) 8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 3, e: 5}. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -18, 5, 7, -17026 in descending order.\nAnswer: 7, 6, 5, -18, -17026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(4\/13))\/w)\/w*w*w**(-2\/23))**(1\/19)*(w**0)**15*(w\/w**(1\/4))**33 assuming w is positive.\nAnswer: w**(561947\/22724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + 6*o - 11. Let c(q) = -4*q**2 + 25*q + 19. Let s(z) = -11*z**2 + 67*z + 51. Let d(x) = -8*c(x) + 3*s(x). Give -5*d(k) + y(k).\nAnswer: 2*k**2 + k - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.319 + 3.319. What is the third smallest value in -2\/5, x, -3, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/7, -124, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 7*p**2 + 8*p + 9. Calculate the remainder when 17 is divided by y(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 7*v + 6. Suppose -4 - 16 = 4*l. What is the remainder when m(l) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1191220 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 1 + 6 - 2 + 5*x**2 + 1 - 4*x. Let l(j) = -j**2 + 2*j + 2. Let s be l(-2). Determine v(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 8*c**2 + 8*c + 10. Let j be -1*(14 - 0)\/2. Let x be f(j). Let q(d) = -d**2 - 3 + x. Let g(k) = -6*k. Give g(q(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3403255740 to the nearest one hundred thousand.\nAnswer: 3403300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/((-72)\/90)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -8 + 5 - (4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202786 is divided by 6337.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0245785966 and 322807.\nAnswer: 322806.9754214034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-58648)\/14662)\/(((-34)\/(-4))\/1)\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*t + 265. Let c be ((-6)\/5)\/((-27)\/t). Is 2 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 - 660\/(-65)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1300) + sqrt(1300) + -1 + sqrt(1300) + -1 + 2 + 0 + sqrt(1300) - ((1*(sqrt(1300) - sqrt(1300)*2))**2 + (6*sqrt(1300)*-1)**2 + sqrt(1300)).\nAnswer: -48098 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from {c: 3, f: 6, e: 3, z: 1, t: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 934560 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-12 - 1)*2. Suppose 0*v + q = v. Suppose 0 = -n + 22 + v. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/590239457 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25147, -23477, -21807, -20137?\nAnswer: -18467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*g - 34, f - 7 = 3*g + 12. Solve 0 = -b + 2*n + 4 - f, -5*b - 4*n - 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998075847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-103)\/36 - (-3)\/(-12)) + 3. Let d = 918 + -3667\/4. What is the closest to c in -0.5, -5, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b414 (base 14) to base 15.\nAnswer: -21e2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 3*q + 4. Let g be t(4). Solve -3*u - h + g*h - 9 = 0, 5*u - 2*h + 26 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2. Let x(o) be the third derivative of -55*o**2 + 1\/24*o**4 + 0 + 47\/6*o**3 + 0*o. Determine x(b(m)).\nAnswer: -m**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43259\/3 + -14420. Which is the second biggest value? (a) -1 (b) q (c) 1\/4 (d) -4 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7 + -1 + -2 - (1 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - c = 1556120 + 235697. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8488168*b**4 - 390707*b**2 + 8.\nAnswer: -203716032*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 times -1475?\nAnswer: 70800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3801 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*2\/(-21)*(5 + 1700\/(-40)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k. Let j(x) be the third derivative of -1\/30*x**5 + 0*x**4 + 0*x + 0*x**3 + 4*x**2 - 5. Determine j(v(u)).\nAnswer: -162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mktjtppv. What is prob of sequence vmp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -38?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82265972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 63*l**2 + l - 64*l**2 - l.\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11986943?\nAnswer: 83, 139, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 11*u**2 - 3*u + 6. Let r be o(-12). Is 2\/(-8) + r\/72*-471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*h**2 + 38*h**2 + 49 + 45*h**2 + 32*h**2 + 103.\nAnswer: -2*h**2 + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 2*i**2 + 5*i - 4. Let u be m(3). What is the third biggest value in u, -0.01, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112\/39937 != -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {t: 2, l: 1, x: 1, n: 1, w: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 < -8117\/242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155\/(-124)*((-10752)\/(-5))\/(-64).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004413094 rounded to six decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2226 - 8995\/4. Let x = 4867\/1036 + 13\/148. Calculate the common denominator of n and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:52 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550878235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(171) + sqrt(38)\/(sqrt(2) + (sqrt(2)*-3*2 - sqrt(2))) + 5)*2.\nAnswer: 12 + 17*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 + -79. Factor 86*f - 6*f**2 + 7 + 20 + b*f + 4 + 5.\nAnswer: -2*(f - 18)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -114 + 118 + 3*l**3 - 4*l**2 + 0*l**3. Let k(p) = -p**2 + 1. Let u(f) = -f**2 + 1. Let c(d) = -2*k(d) + 3*u(d). Give -4*c(i) + y(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1552877032.\nAnswer: 2, 7, 1091, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (14\/84)\/((-4)\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + 10*y + 5. Let d(p) = -p**2 - 2*p - 1. What is -5*d(q) - v(q)?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-13 - -22))\/(42\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 700, -2, -76, -512, -1 in ascending order.\nAnswer: -512, -76, -2, -1, 1, 700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**3 + 62*r**2 - 125 wrt r.\nAnswer: -6*r**2 + 124*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16 + 19 + -1 + 39\/(-18). Let a(u) = 2*u**2 + 3*u. Let d be a(-2). What is the nearest to 1\/3 in -0.5, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4277 and 13?\nAnswer: 4277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2596 - -5034. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/44864 and -81\/24389192.\nAnswer: 195113536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8175 divided by 1635?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 3, -38274 in descending order.\nAnswer: 3, -83, -38274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1115 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50381 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68.4 + 230.6. Let j = s + -298.97. Let m be -3 + 2\/6*7. What is the closest to j in m, 4\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.085692734 to 4 decimal places.\nAnswer: -0.0857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/7))\/((t\/t**1)\/t*t*t) assuming t is positive.\nAnswer: t**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3298 + 171.01504.\nAnswer: -3126.98496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let -14*a**5 + 380*a**4 + 76*a**3 - 3576*a**2 + 1602*a + 4860 = 0. What is a?\nAnswer: -3, -1, 2, 15\/7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225361 + 38710. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1457\/1716 - -34\/39. Let z = 3\/11 - f. Which is the nearest to 0? (a) -3 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*o - 496*o + 84480 = 0. Calculate the lowest common multiple of o and 144.\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v = -458 - 393 - 349. Calculate the remainder when 306 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1671.09 + 1670.69. Let y be ((-2508)\/419)\/3 + 2. Put 0, f, y in descending order.\nAnswer: y, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 2)*(0*k + 2*k + k) + (3 - 3 + 2)*(-5*k - 6*k + 4*k + (0 + 1 - 3)*(-k - 2 + 2)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2\/l**14)\/(l**(-2\/7))**(2\/49) assuming l is positive.\nAnswer: l**(-4112\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/27*-3)\/((2436\/9)\/(-14)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5511\/9 - (-1)\/(-3). Suppose 0 = -5*t + v + 138. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**9\/13608 + f**8\/7560 - f**7\/3780 - f**6\/1620 - f**3\/2 + 4*f. Let u(j) be the second derivative of t(j). Factor u(h).\nAnswer: 2*h**2*(h - 1)*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -593 + 743. What is the least common multiple of 135 and n?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 477 + 117. Let n be (-5)\/g + 23\/12. Let r(k) = -k**3 + k + 2. What is r(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172.639 nanograms to milligrams.\nAnswer: 0.000172639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 92?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x - 171. What is i(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) + 1)*-5 - (1 + sqrt(833) + 1)) + -2*((sqrt(1700) - (5 + 1*sqrt(1700))) + (sqrt(1700) - (sqrt(1700) + sqrt(1700) + 0 + -2))))**2.\nAnswer: 44*sqrt(17) + 8229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**8\/2240 - x**6\/240 - x**4\/12 + x. Let b(p) be the third derivative of s(p). Factor b(k).\nAnswer: 3*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 869843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33910.\nAnswer: 2, 5, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 2*z, -3*n + 0*n = 0. Find the second derivative of 4*o - 1 - 9*o**z - 4 + 5 wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*sqrt(2)*-2 - sqrt(72)\/sqrt(4)).\nAnswer: -4 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -365, -550, -737?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*u + 24, -10*p + 3*u = -5*p. Suppose -322 = -p*l - 322. Solve 0*r + 3*r + 3 = l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1079*a**2 - 4*a**4 + 2160*a**2 + 6*a - 1085*a**2 + 2*a**3 to the form l*a**4 + o*a**3 + s*a + t + n*a**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7944, 17552, 28816, 41736?\nAnswer: 56312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:20 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 5*t - 3. Let c be r(-6). Let u be 18\/(-8)*(-8)\/c. Suppose q - 4 = u. 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: Three letters picked without replacement from {f: 1, w: 4, q: 5, m: 1, r: 5}. Give prob of sequence rfm.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 6*205\/(-390) + 3 + 74\/(-26)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (39 - 1\/1) + -1?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k + 6. Let r(p) = p + 21. Let y be r(-21). Let f be (0 + (y - 2\/(-5)))*-10. Determine t(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00041686607 to seven decimal places.\nAnswer: 0.0004169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 14*d - 138. Solve d*v + 12 - 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9*7)\/(122\/(-549)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o + 66 = 0. Let z = -61 - -17. Let x = o - z. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1734757 - -32.\nAnswer: -1734725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 13) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*h - 2. Let b = h - 2. Let m be b\/3 - 91\/(-3). What is the highest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49\/5? (a) -2 (b) 5 (c) -2\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.02861.\nAnswer: -0.002861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1056 and 12672?\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75553 or -75556?\nAnswer: -75556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -364, -365, -366, -367, -368?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 7*t**2 - t - 7. Let p be f(-7). Solve d + p*d - 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1382705 * 22\nAnswer: 30419510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/286968781 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1199369 divided by 3\nAnswer: -1199369\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*m + 638*m + 14*l - 19*l + 30 = 9, 5*m + 13*l = 60 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sims when four letters picked without replacement from mmmmscmmisicsmmssis?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 4, s: 1, e: 7, f: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5373449.1 seconds to hours.\nAnswer: 1492.62475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56841475 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 181, 180, 177, 172, 165, 156, 145?\n\"Answer: -h**2 + 2*h + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35, 34, 21, -10, -65?\n\"Answer: -x**3 + 6*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(144) - (-2*sqrt(22) + sqrt(22))*2)\/(sqrt(539) - sqrt(539)*2 - (sqrt(11) + (sqrt(11) - -2*sqrt(1331)))).\nAnswer: -9*sqrt(2)\/124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3262570 = -2*p - 4*y, -226*p + 1631315 = -225*p - 3*y. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - w + 65 = -6*w, 0 = -2*m + 3*w + 95. Calculate the remainder when m is divided by -1*-2*(-21)\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430586883.\nAnswer: 3, 911, 52517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -13\/2. Which is the third smallest value? (a) y (b) -5 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) 5993 (c) 4 (d) -4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-665)\/70 + 11)*(-28)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(6\/7)\/(q\/((q\/(((q\/(q\/(q*q\/q**(2\/11))*q)*q)\/q*q)\/q))\/q)) assuming q is positive.\nAnswer: q**(-74\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**4*u + 3*r**2*u**3 - 17*r**2*u**2 - 17*r*u**3 - 2*r*u wrt r?\nAnswer: 36*r**2*u + 6*u**3 - 34*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2. Let a(c) = -2162*c**2. Calculate x(a(z)).\nAnswer: 18696976*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*z - 594 = 46*z. What is the smallest common multiple of 36 and z?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.491 - 0.509. Sort 241, d, 0.3 in increasing order.\nAnswer: d, 0.3, 241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -z - 12, -4*z + 2 = -3*g + 5. Suppose 6*k - g = k. Is ((-249)\/(-15))\/(k\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1370 (base 9) to base 12.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -91\/6, -151, 0.1089?\nAnswer: 0.1089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 64857754265509?\nAnswer: 64857754265508.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 - 36 = 0. Let m be (-4)\/n + 4\/10. Suppose -3*t = -m*t - 12. 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 k(p) = 2*p + 25. Let a be k(-11). Let v(l) = 67777*l**2 + l + 4. Let i be v(a). What is i rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 5 - 5 + 11 + 2. Let c(x) = -x**3 + 6*x**2 + x - 6. Let v be c(6). What is the units digit of b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43125049.14 and 10.\nAnswer: -43125039.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58678 is divided by 376.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 26*h + 12. Let j be m(13). Calculate the common denominator of (118\/(-4))\/((-78)\/52) and 241\/(-40) + j\/(-20).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2248 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -235*s - 51. Let w(g) = 78*g + 19. Determine 3*k(h) + 8*w(h).\nAnswer: -81*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1476 by -2.\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3879 - 3880. Suppose 3*i - 3 + 9 = 0. Put i, -4, 2, p in increasing order.\nAnswer: -4, i, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -7*d + d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a + 18*a - 5 - 7*a + 3. Let z be 669\/51 + 17\/((-2023)\/14). Calculate g(z).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116556*r + 1553 - 3103 - 116555*r + 1550.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 4*i + 1. Let v be k(-4). Let m = -29 + 18. Let g be m\/14*-2 - 2. What is the nearest to 0 in g, v, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 6. Let k be l(6). Solve 3*p - 10 + 1 = k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805 is divided by 311?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177 - 177 - 18*m to the form y*m + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24078.\nAnswer: 2, 3, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.41 - 0.21. Let c = -201 - -192.7. Let y = h + c. Round y to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 458*y - 6402. Calculate s(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/54 and 85\/123066.\nAnswer: 123066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 35892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/2 - 37059*a**3\/2 + 56560260*a**2 + 4109722536*a.\nAnswer: 3*a*(a - 6212)**2*(a + 71)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/((13\/377)\/(90\/522)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 6*b**2 + 3*b - 3. Let h be d(-5). Let j = 16 - h. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 y when three letters picked without replacement from ylaayzylxhhhlal.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 2*x - 35, -39553*u + 39548*u = -5*x - 20 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d**3 - 274*d**2 - 567*d - 276. Let t(z) = -28*z**3 + 823*z**2 + 1704*z + 827. Let q(a) = 13*k(a) + 4*t(a). Factor q(g).\nAnswer: 5*(g - 56)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14339982 to 4 decimal places.\nAnswer: -0.1434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5539008 tonnes?\nAnswer: 553900800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.015.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x = 4*t - 397, -3*x = -5*t + 497. 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: Calculate the highest common factor of 6864 and 25329954.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (58 - 4123\/70)\/((-6)\/256). Factor 304\/5*a + 36\/5*a**3 + 2\/5*a**4 + w + 168\/5*a**2.\nAnswer: 2*(a + 2)**3*(a + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.75 - -6.45. Let m = 5 + -3. Suppose -j = n + 4*n + 25, -10 = -m*j + 2*n. What is the closest to j in 3\/2, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8329.9 and 0.5.\nAnswer: 4164.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/2707605 and -13\/36?\nAnswer: 10830420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjjwjwwwljwjlwlljjjl. Give prob of sequence jll.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/80 + 18\/(-5) + 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108? (a) 3 (b) 0 (c) 5 (d) 2\/5 (e) -45680\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49.6 - -50. What is the third biggest value in i, 8, 1\/4, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -s - 3*s. Let w = 6 + -4. Let q = 0.1355 + -0.0355. What is the biggest value in w, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:03 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94329873 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)\/sqrt(3) + sqrt(1617)*2)\/(-1*sqrt(33)\/sqrt(275)).\nAnswer: -75*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Simplify ((w*w**(-1)*w*w*w*w\/((w*w**(1\/10)*w)\/w))**(11\/4))**(2\/113) assuming w is positive.\nAnswer: w**(319\/2260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-2)\/(-12)*-2. Let x = -1.3 - 2.7. Which is the nearest to 1? (a) -2\/15 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, b: 3, i: 2, w: 2}. What is prob of sequence ixbi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/2 - -5)*(-4)\/(-1). Let b be 9 + r*(3 + -5). Solve 4 = 3*f + 2*c, -b*f - 2 = c - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1664121+77\nAnswer: -1664044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + q - 6*q + q**2. Let s(p) = 7*p**2 - 9*p - 2. Let i(v) = v - 1. Let m(u) = -2*i(u) + s(u). Give -4*m(g) + 9*z(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -234*c + 2226. Determine f(9).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/((-8)\/(-3)). Let a be 1\/((-2)\/(-2)) - -7. Suppose 4*i - 3*i - 20 = -5*x, -a = -2*x - 2*i. What is the smallest value in -2, x, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386181391 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-6 - -12)) + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40 + 10*g - 24 + 4*g**3 + 22*g + 28*g**2 + 0.\nAnswer: 4*(g - 1)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -5 + 11 - 9) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -3\/8*h**4 - 2\/3*h**3 + 0*h + 8*h**2 + 0. Find the first derivative of t(j) wrt j.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*b + 595 - 2597 = 1130 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Suppose -3*h = -y - 47, 0*h + 4*h = 2*y + 62. Suppose -h = -g*f + 52. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -473 - -334. Let h = -138 - v. What is the biggest value in 2, h, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193777, -193740, -193703, -193666, -193629, -193592?\nAnswer: -193555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x*y*z**2 + 4*x*y*z - 7461*x*z**2 - 10*x + 79*y*z + 2*z**2 wrt z?\nAnswer: -4*x*y - 14922*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Put h, 0, 3 in descending order.\nAnswer: h, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133856732 is divided by 362.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 57*a - 670. What is the smallest common multiple of t(-9) and 600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 41, 87, 149, 227?\n\"Answer: 8*n**2 + 6*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13.87*-5\nAnswer: 69.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 5:53 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1315, 1317, 1319, 1321, 1323, 1325?\n\"Answer: 2*f + 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6))**(1\/11)*o**(-3\/5)*o\/(o\/((o*o*o**(-19)*o)\/o)) assuming o is positive.\nAnswer: o**(-5813\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q + 27. Let t be h(-5). Let n = 20 - t. Suppose f - 15 = n. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-27))\/4 + (-64975)\/(-5175).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, l: 3, m: 2, h: 1}. Give prob of picking 1 l, 2 p, and 1 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2*y + 1\/3*y**3 + 12 + 71\/2*y**4 - 3\/2*y**2. Let v be c(1). Round v to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 10*c**2 - 3*c + 16. Let w be g(5). Suppose -3*i = 2*i - 25, -i + w = -n. Solve -35*a - n = -37*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c**2. Let f(g) = 21*g**2. Determine t(f(m)).\nAnswer: 5733*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -63*i - 10. What is u(3)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6477, 6424, 6369, 6312, 6253, 6192, 6129?\n\"Answer: -f**2 - 50*f + 6528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54015098*i**5 - 2149*i - 1615 wrt i?\nAnswer: -1080301960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 16*v + 60. Let j be q(-4). Let a(l) = 8*l**2 - 4*l - 13. Is a(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20009 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 1 - (-746 - -759)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1526 and 145450690?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25\/57 - -2\/19. Let p = -0.4 + 0.3. Which is the nearest to p? (a) g (b) -4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-17 + 2875\/175).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 795 - 795. Let p(d) be the third derivative of 0*d + 7*d**2 + 1\/4*d**4 + 1\/15*d**5 + 0*d**3 + b. Find the second derivative of p(g) wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3612001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 45*u**2 - 16*u - 7. Let p(v) = 22*v**2 - 9*v - 4. Let i(r) = 3*a(r) - 5*p(r). Find the first derivative of i(z) wrt z.\nAnswer: 50*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/5 + 1184*r**2\/5 - 3516*r\/5.\nAnswer: -4*r*(r - 293)*(r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.3 - 4.2. Which is bigger: c or 0.09?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208405 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:41 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 4:32 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2\/5 - 79*a\/5 = 0.\nAnswer: 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 4*n + 4. Let c(f) = -f**2 - 2*f + 2. What is -9*c(i) + 4*l(i)?\nAnswer: i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14097213 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n**2 - 140*n + 17. Let t be u(14). Solve -5 = -4*m - t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 142*l**2 - 16*l - 7. Let u(f) = 402*f**2 - 47*f - 22. Let s(d) = 6*u(d) - 17*z(d). Give s(-8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16 + -14)*(4 + -1 + 2). Suppose 4 = -4*t - 3*p + p, f = -2*t - 3*p. Which is greater: 2\/183 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-25)\/(-10))\/(5\/(-10)). Let c(m) = -m**3 - 5*m**2 + 3*m. Determine c(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/7 - 442226*w + 95964964\/7 = 0. What is w?\nAnswer: -1547822, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 2*v**2 - 2*v - 2. Let y be z(-2). Let w(q) = q**3 - 40*q**2 + 177*q - 62. Let t be w(35). Suppose y*h - t = -0*h. Solve -h = -4*d - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 18 = -4*z, 5*r + 5*z + 0*z = -25. Let w be (-3)\/r*60\/9. Suppose 4*h - 36 = -o, -3*h - o + w = -h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/25, -2, 3, -5?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t. Let d(k) = -3*k. Let a(w) = -2*d(w) + 3*x(w). Let g = 18 + -16. Let f(p) = 37*p + 3*p**g - 37*p. Determine a(f(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5 + 0.5. Let c = -49 - -48.971. Let k = -0.271 + c. What is the smallest value in l, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(165)\/sqrt(3)*3)\/((sqrt(77)*-2 + sqrt(77))\/sqrt(7) + sqrt(11) + sqrt(11)) + 1.\nAnswer: -2*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6530a7 (base 14) to base 16.\nAnswer: -344c4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*q + q = 47, 0 = 2*d - 4*q - 44. Let b = d - 12. Let z(j) = 20*j**3 + j**2 - j. Let p be z(1). Calculate the highest common factor of p and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 6:51 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11729105*r. Let u(b) = -2*b. Determine u(a(k)).\nAnswer: 23458210*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 1)*(2*l - 4*l + 0*l)*(l - 4 + 4).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*y = 145, 2*b + 3*b - 4*y = 175. List the prime factors of b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)*a*a*a**3*(a**2)**(6\/11))**(4\/15) assuming a is positive.\nAnswer: a**(-72\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s + 35 = -41*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109092319 or -109092316?\nAnswer: -109092316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123140 rounded to the nearest one thousand?\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46738 is divided by 658.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*m + m + 5*a, -m - a + 40 = 0. Is m less than or equal to 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**5\/30 + 71*q**4\/12 + 46*q**3 - 94*q**2 + q. Factor b(c).\nAnswer: 2*(c + 2)*(c + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((2 - -2)\/(-264)). What is the highest common divisor of b and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 165*q**3 - 167*q**3 + 2 - 2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 77 + -84 + (5 - (2 - 2)) + -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-22*y - 165 + 16*y + 4*y).\nAnswer: 2*y + 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**3 - n**2)*(-4*n + 13*n + 5*n)*(0*n + 2*n - 4*n) + 0*n**5 + n**5 - 3*n**5 + 63*n**3 - 16*n**5 - 63*n**3.\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {d: 7, v: 6, b: 1}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2608848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hshd. What is prob of picking 1 h and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, 4.\nAnswer: -21, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 7 = -3*o - 5, 3*o = 4*k - 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m + 59. Give p(17).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a microsecond in nanoseconds?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 - -99. Let m be (114\/(-2))\/((-78)\/(-18) + b). What is the hundreds digit of (-31939)\/m + 3\/((-54)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 2. Let k(j) = -90*j**2 - 142*j + 216. Let n(g) = 10*i(g) + k(g). Let z(q) be the first derivative of n(q). Differentiate z(b) wrt b.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 11*q**2 - 6*q - 152. What is g(-9)?\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.232 + 0.231999813. Round c to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, 2904, 8258, 15746, 25362, 37100, 50954?\nAnswer: 66918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (4*(2 + sqrt(13)) + sqrt(13) + sqrt(208)*1 - sqrt(91)\/(-1*sqrt(7) - sqrt(7))*5)**2*-2.\nAnswer: -7135\/2 - 368*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/232 and -28\/23519.\nAnswer: 188152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -9, 1\/1690, 2\/21 in ascending order.\nAnswer: -9, 1\/1690, 2\/21, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 46 + 13*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19087 (b) -304\/31 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -150301123 and -0.4.\nAnswer: -150301123.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-306)\/(-66) - (-8)\/22. Suppose -1 - 5 = -3*t. Suppose 4*f = t*f + 3*r + 87, 3*f - v*r = 131. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100 - -10?\nAnswer: -100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -836874*d + 34311840. What is z(41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 41\/4 - 5\/(40\/(-6)). Suppose 2*o + 3*x + 2 = i, -5*o + 29 = x. Calculate the lowest common multiple of (51\/(-12))\/(6\/(-24)) and o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 14524.\nAnswer: 72620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.4 - -14.9. What is the fourth biggest value in 3, j, 4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 395967.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -13*o**2 - 31*o + 88. Calculate n(3).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/10*8\/(-3). Suppose n*f + 18 = -p, 2*p = -2*f + 6*f. Let w = 59 - p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-1\/2)\/a)*a**(-6)*a**(-2\/19)*((a*a**(-2\/9))\/a)\/a assuming a is positive.\nAnswer: a**(-1651\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17487 + 17490. Solve -y*m - 14*k + 11*k = 9, m - 4*k + 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4 - 40*c**3 + 124*c**2 + c wrt c?\nAnswer: 24*c - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 0 - 185*f**3 - 5*f**2 + 0 + 5*f - 5 + 110*f**3 + 98*f**3. Let b(d) = -851*d**3 + 184*d**2 - 184*d + 184. Give 5*b(t) + 184*q(t).\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 8:03 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2316)\/136 + (-200)\/(-6800).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56375 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28257 divided by 9419?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 344361 + -198418. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 61. Give p(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3730?\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84564490 is divided by 1351?\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-45)*-3)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, z: 1, e: 2, l: 3, p: 2, f: 1}. What is prob of picking 1 l, 1 p, and 2 e?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 6. Let a(z) = -z**2 + z + 1. Let g(d) = -a(d) + n(d). Let v(j) = 2*j**2 + 7*j + 11. Let k be 7 + -3 + -13 - (-36)\/2. Determine k*g(q) - 4*v(q).\nAnswer: q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**5\/7 - 53*u**4\/7 + 673*u**3\/7 + 837*u**2\/7 - 1458*u\/7 = 0?\nAnswer: -2, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261012 is divided by 225?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23 and -99378?\nAnswer: 99355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*c**2 - 4*c**4 + 76*c**3 + c + 78*c**3 + 2 - 154*c**3 to f*c**3 + a + v*c**4 + q*c + b*c**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 5. Let h(g) = -g**3 + 3*g**2 + 1. Let x be h(2). Let t be r(x). What is the greatest common divisor of t and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*(9 - 11). Find the first derivative of -n + 4 - k + k - k**4 wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 6. Let z be d(0). Suppose -z*j + 2*j + 13 = t, 3*t - 4*j + 25 = 0. Put 1, t, 3 in descending order.\nAnswer: 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3064204*y - 3301830 wrt y?\nAnswer: -3064204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**8\/i*i)*i**(-16)*i*i)**(7\/3) assuming i is positive.\nAnswer: i**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:59 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1676\/179 - 14368\/1611. Solve k - 2\/3*a**2 + 10\/9*a = 0 for a.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 192 - 285. Calculate the least common multiple of 7 and (-2 - (y + 6)) + -1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(2\/21)*p*p)*((p**(-15\/7)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(-131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 5*c - 8. Let k be u(-10). What is the remainder when 18 is divided by 12\/k - (-52)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -493\/6. Let n = 43.04 - 43.84. Which is the fourth smallest value? (a) n (b) -1 (c) -4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 413\/8 (b) -1 (c) -0.5 (d) 32.6 (e) -0.3 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -615*u**4*y - 3243*u**2*y - 143200*u*y + 19*u wrt u?\nAnswer: -7380*u**2*y - 6486*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -241294\nAnswer: -5\/241294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/18279945 and 5\/18189?\nAnswer: 18279945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416943 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35641494 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u - 6 = 41*u, 12 + 2 = 3*i + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140*l*m - 924*l + 5*m**2 wrt m.\nAnswer: -140*l + 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3)*60\/(-990)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.956 - 27. Let m = 2.044 + f. Which is the second biggest value? (a) m (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/11 and 151\/113456190?\nAnswer: 1248018090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*v + 419 + 450 + 1140 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*q = s - 16, -2*s - q + 16 = 0. Let v(z) = -z**2 - z + 3. What is the smallest common multiple of v(0) and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2522215.\nAnswer: 5, 67, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(sqrt(1900) + -2 - sqrt(1900))*1 + 2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111730 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 131792881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c + 5*f = 33, 4*f - 20 = 0. Suppose -c*x + 35 = 3*x. Let m = x - -4. What is the remainder when 87 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08088 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**2 + 15*i**2 + 9*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 5)**2 - sqrt(44)\/(sqrt(12)\/sqrt(3)).\nAnswer: 19*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2174 divided by 1087?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88286, 176606, 264940, 353294, 441674, 530086?\n\"Answer: i**3 + i**2 + 88310*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + 2*sqrt(1584)*1)**2*-6.\nAnswer: -38070 - 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3 (b) -9 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 12. Let t(i) = -1. Let d(p) = 2*p + 2 + 1 - p. What is x*d(o) + 5*t(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3974 - 1903 - 4*o - 1678.\nAnswer: -4*o + 393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79053 + 133906. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16848 at most -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(2\/3)*n*n*n))**(-29)*n*n**(-1\/4)*n*n*n*(n*n**6*n*n)\/n assuming n is positive.\nAnswer: n**(1069\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -93, -2, 6, -4 in ascending order.\nAnswer: -93, -4, -2, 2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314*i*n - 370*n - 2 wrt i.\nAnswer: -314*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 16*p - 16. What is o(-6)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 9:39 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(sqrt(637) + 2) + -3*(sqrt(637) + -3 + sqrt(637))*-3)**2.\nAnswer: 34020*sqrt(13) + 1859517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 1\/2*z**2 + 0*z**3 + 0 - 4*z - 1\/12*z**4. What is l(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*m - 74523 - 74547 + 149045 - 106*m in the form t + z*m and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22650318 and 24434.\nAnswer: 22650318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0645992534 to three dps.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1502481136 to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11483639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - y**2 - 5*y + 12. Determine i(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*s + 3 + 16 - 16 + 917*s.\nAnswer: 1047*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/350)\/(11\/(-88))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11950, 23660, 35386, 47134, 58910?\n\"Answer: n**3 + 2*n**2 + 11697*n + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*x + 0)*(0 + 2 - 3) + x - 4*x + 2*x + 32 - 30 + 2144*x - 2 to g + m*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -1\/5, 1\/5, 3\/5, -1\/16, 11, -259?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2*v**2 + 3*v**2)*(0 + 1 + 1) + (-4*v + 2 - 2)*(5 - 5 - 5*v) - 9*v + 3*v**2 + 9*v.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 57*l**2 + 110*l = 0. What is l?\nAnswer: 0, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. Suppose 2*w - 4 = 3*w, z*j - 3*w - 48 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 132, 87, -8, -171?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3924\/7194 - (291\/(-11) - 3).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -316 and 220047.3.\nAnswer: -69534946.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 86 + 249 = 4*l, 2*d - 10 = 0. What are the prime factors of ((-12)\/10)\/((-3)\/l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -68*u**2 - 215*u + 48. What is j(-3)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 46.057 and 0.07?\nAnswer: 45.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20203 (base 12) to base 7\nAnswer: 232521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6283 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1\/2, 3, 2\/23 in increasing order.\nAnswer: -2\/9, 2\/23, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4\/3 - 46*l**3\/3 - 238*l**2\/3 + 46*l\/3 + 80 = 0.\nAnswer: -15, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0 + 0)*(0*g**3 + g**3 + g**3) + 0*g**4 + 3*g + 2*g**4 - 2*g.\nAnswer: 6*g**4 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v - 7. Let f be l(-2). Let a(j) = -j**2 + 9*j + 4. Let g be a(f). Let o be 276\/g - (-2)\/3. Calculate the highest common factor of 80 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11))**39 assuming z is positive.\nAnswer: z**(-429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p + 3 + 21. Let g(c) = -2*c - 8. Let s be g(p). Is s <= 2\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i = -21*i - 28. Suppose -77 + 625 = -i*h. Let d = h - -142. Solve k = d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q - 6. Let v be (-1)\/4*q*28. What is the highest common divisor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 866*v - 46*v + 37*v**2 - 34*v**2 + 920*v as b + g*v + z*v**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -640075 + 640145.0127. Let d = k + -70. Round d to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-770*f - 1431*f + 5027 - 5027)*(4*f**3 - f**3 - 4*f**3 + (-2*f**2 + 3*f**2 - 3*f**2)*(-2*f + 2*f + 2*f)).\nAnswer: 11005*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7308171?\nAnswer: 3, 13, 47, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19.5 times -3\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r + 0*r**4 + 1\/2*r**6 + 0*r**3 + 1\/2*r**2 - 3 + 0*r**5. Find the second derivative of g(k) wrt k.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1493695*u - 2*u**2 + 2987395*u - 1493700*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21716 and 37858.\nAnswer: 59574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24607\/4 + -6151. Factor 1 + 1\/8*m**2 - o*m.\nAnswer: (m - 4)*(m - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from fqfrcfqfkbffrfbfff.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -155048.\nAnswer: 5\/155048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/351567 and -89\/4185?\nAnswer: 54492885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k**2 - 18*k - 1. Let m(a) = -3*a**2 + 9*a. Let i(o) = -4*l(o) - 9*m(o). What is the units digit of i(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/18*(-20)\/(-900). Let l = b - -289\/162. Let 0*r + 2\/3*r**4 - 2*r**5 + l*r**3 - 8\/9*r**2 + 0 = 0. What is r?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(4\/1953))\/((-1)\/(-2)). Suppose -f*r = -1954*r - 4. Let q(h) = 7*h**3 + 14*h**2. Let j(t) = -6*t**3 - 13*t**2. Give r*q(s) - 5*j(s).\nAnswer: 2*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5400000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 57?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9 + ((-8)\/21)\/8. What is the closest to 48 in 5, -0.028, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -4.9. Let k = 1.3 + -0.3. Let u be 0 + -1 + 4 + -1. Which is the closest to k? (a) 3 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, 2\/3, 2\/7, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**2 - 1444. Let h(b) = -9709*b. Calculate q(h(o)).\nAnswer: 19418*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from ccpje.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 20*c + 11. Let z(i) be the second derivative of 1\/9*i**3 + 0 + 1\/36*i**4 + 1\/6*i**c - 11*i. Factor z(m).\nAnswer: (m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37050 less than -0.5?\nAnswer: 37049.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*s - 2225*f*z + 436*s*z + 6730113*s wrt z.\nAnswer: -2225*f + 436*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175743 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpp when three letters picked without replacement from {p: 2, c: 2, o: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -3 - -1)\/1. Suppose -n + 4*n + 120 = f. Let y be ((-60)\/n)\/(1\/14). Calculate the greatest common divisor of y and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22110 (base 3) in base 16?\nAnswer: e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 404 - 106 - 105 - 96 + 2*h**2 - 104 to the form a + m*h**2 + p*h and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37721621 is divided by 289.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*z)*(2 - 1 + 3) + (-1 + 1 - 1)*(0*z - 4*z + 3*z) + 3*z + 2*z - 3*z - 10*z + 8*z - 63 + 4*z in the form t*z + g and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 11:30 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-9)*(-411)\/(-274).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 96.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2*x**5 - 3*x**4\/2 + 8*x**3 + x**2 - 125. What is the third derivative of b(v) wrt v?\nAnswer: 240*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.23 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 + 10*c - 18. Let s be m(-13). Round s to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 12. List the prime factors of 3\/5 + (-42)\/w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = b - 7, 2*b - 3*q - 18 = 0. Solve 4*g + b = 5*z + 13, 2*g - 10 = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -624714*o + 624714*o + 15*o**2 + 2*o**2. Let c(d) = -22*d**2. What is a(c(y))?\nAnswer: 8228*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 673, 671, 667, 661?\n\"Answer: -s**2 + s + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.7 (b) 1 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4605705716.\nAnswer: 2, 19, 691, 87701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*p + 3*g + 26, -2*g - 12 = p. Let x(i) = i + 14. Let s be x(p). Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 94, 294, 676, 1300, 2226, 3514, 5224?\nAnswer: 7416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-11.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 243 + -8021\/33. Sort 0.4, 0, 0.2, a.\nAnswer: a, 0, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 206 = 4*f - 526, -3*j - 4*f + 200 = 0. Suppose -2*k - 110 = -4*k. Let m = j - k. Let o(w) = -w**3 + 4*w**2 + 5*w - 7. Calculate o(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 13*i**2 + 27*i - 17. Let a be t(-10). Suppose 0 = -a*l + 3463 + 7483. What are the prime factors of l?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.71?\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11 - 11 - x. Let f(t) = -2*t. Determine p(f(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8538 and 678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 2*y + 1\/2*y**2 + 1\/6*y**3 + 0. Let b(g) = -2. Let f(p) = p - 2. Let k(a) = -b(a) + f(a). Determine -j(q) - k(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/576 and -107\/768.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -155*j**2 + 16604*j + 242. Calculate x(107).\nAnswer: 2275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1817*j**2 - 441*j - 22. Let z(r) = 909*r**2 - 222*r - 12. Let t(v) = -6*o(v) + 11*z(v). Find the second derivative of t(n) wrt n.\nAnswer: -1806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521\/(-2*4\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -2.3 (c) 0.2 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 113, 86, 37, -40, -151?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + u**2)*(2 - 2 + u)*(-11 - 13 + 8)*(2*u - 5 + 5).\nAnswer: -32*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83061 is divided by 912.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/607 - 3047\/3642. Let o = -1.7 - -3.7. What is the smallest value in o, i, -2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b4d6 (base 15) in base 16?\nAnswer: 15b13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(0 + sqrt(684) - sqrt(684)))**2 - (-4 + sqrt(76)\/sqrt(196) + -4).\nAnswer: -sqrt(19)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/25344052 and -67\/100.\nAnswer: 633601300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((1 + sqrt(2736))*2 - (1*sqrt(2736) + -5)))*5)**2.\nAnswer: 7200*sqrt(19) + 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 58809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/3 (b) 3307 (c) 4 (d) -0.2 (e) -1\/1140\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -4*2\/(-4) + 1575. Let t = u - 383. Suppose -3*l - 1591 = -4*m - 0*m, 3*m - 2*l - t = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 24 + 200*g + 220 + 69.\nAnswer: 200*g + 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -703, -1075, -1353, -1507, -1507?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5629.393 millennia to centuries.\nAnswer: 56293.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 23 - 25)*(-13*a - 6*a**2 + 13*a).\nAnswer: 216*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 925112 and 591.\nAnswer: 2775336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 0) + (93 - (22 + -9)) + -28.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -o + 47, -2*b = -0*b + 4. Let t = o - 20. Which is greater: 36 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102 - -5) + 91 + -46?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26539366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 2*h + 3 = -3*p, h - 3*p = 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 7*p**2 + 20*p - 16. Let r be h(9). Solve -3*x = -4*x + r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 15*b - 47. Give w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -238670 (base 10) to base 9.\nAnswer: -403348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 + 0*z**2 + 6*z + z**2 + 5 - z**3 + 0*z**2. Let y be -6 - 0*(-2)\/4. Let f(g) = g**2 + 6*g + 7. Let d be f(y). Calculate j(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 22. Let a = l + 25.4. Let v = 2 + -5. What is the smallest value in -3\/5, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124\/177 - -2\/59. Let u = -100 + 102. What is the nearest to 4 in g, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4256 at most as big as -4330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 30*w**2 - 30*w**2 + 14*w**2.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -4*o - 33 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/217 + 95\/217. Which is the third smallest value? (a) 5 (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13790 and 770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + ((-2)\/6 - 68\/(-24)). Let r = 3 + -4. Let s = 0 - 0.1. Which is the nearest to r? (a) s (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 9. Let m be 8*232\/384 - 2\/(-12). Give k(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*j + 2*k, -3*j + 4*k = -j - 34. Let i(s) = -s + 20. What is the units digit of i(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + (-34)\/30 - -2 and -5\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*h - 91*h - 87*h - 239*h - 87*h - 82*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -14238*j - 42711. Determine x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 1. Let v be 8\/(-2)*2\/h. Suppose 1 = f - 3*p - 7, -4*f - v*p = -4. What is the remainder when 4 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/9 (b) -3 (c) -0.4 (d) -58 (e) 102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 25?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 223? (a) 0 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 222, -4849, -13300, -25131, -40342, -58933, -80904?\n\"Answer: -1690*o**2 - o + 1913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 6*a**2 - 17*a + 184. What is the remainder when w(0) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0.3, 1\/20, 2\/29, -4\/7 in descending order.\nAnswer: 0.3, 2\/29, 1\/20, -4\/7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/6*180\/(-40). Suppose -3*i - 30 = -o*i. Let y(b) = b**2 - 12*b + 14. Give y(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/3 - (6 + 133\/(-56)). Put -0.5, -11\/7, q, -2 in increasing order.\nAnswer: -2, -11\/7, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15056061623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, 2, -4\/443, 3\/4, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (80\/28)\/(2\/7). Let f(r) = r**2 - 10*r - 4. Let x be f(7). Let s = c - x. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31576 - -157916\/5. Determine n so that 3\/5*n**3 + 48\/5*n + 21\/5*n**2 + h = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66304 is divided by 634?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**3\/3 + 9*z**2 - 17*z - 2. Let i be k(14). Calculate the highest common divisor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 5*o**4\/3 - 10*o**2 + 11*o. Let v(b) = -4*b. Determine h(v(m)).\nAnswer: -160*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27 + -0.48. Let l = w + 0.201. Round l to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(5 - 5*x + 8 + 3*x).\nAnswer: 4*x - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 - (5 + (-5 - 6) + -6 + 21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -53912.17795 to the nearest 1000.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6104 by 1526.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -12, -2, -2.59, 25 in descending order.\nAnswer: 25, 5, 0.5, -2, -2.59, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4004.1l?\nAnswer: 4004100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (-3)\/(-8) - 1635\/(-120).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4136 by -22.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*w + 122*w + 1477 = 5217 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9a5 (base 14) to base 13.\nAnswer: -10488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 4851.\nAnswer: 4855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 1013 = -r - 1106, 4*r - 46 = -3*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30*16\/72*3. Let a(r) = 374*r + 6. Let w be a(5). What are the prime factors of (-16)\/i - w\/(-20)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5450 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 434\/6 - (-1102)\/87\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6 + (-2)\/(-3). Let r = q - 0. Suppose r*n = -n - 6. Let m(g) = -g**2 + 2. Calculate m(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 216*z + 212*z + 68 = 0, o - 8 = 2*z. Solve -192 = o*y - 94 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/105 + 95*a**4\/21 + 752*a**3\/21 + 4*a**2 + 1. Find v, given that k(v) = 0.\nAnswer: -188, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038170975 rounded to 7 dps?\nAnswer: 0.0003817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-2\/3)*d)*d)\/d*d*d*d**(-5))\/(d**(-2\/5))**(-1\/6) assuming d is positive.\nAnswer: d**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 832.326 litres?\nAnswer: 832326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -16*j**2. Let b(p) = -53*p + 15. Let v(u) = 3182*u - 903. Let f(q) = 301*b(q) + 5*v(q). What is f(x(m))?\nAnswer: 688*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2 + -0.8. Let h = 1469 + -1475. What is the closest to 1 in j, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27744 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 192 = 25*m. What is the remainder when 189 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.8 - -4.8. Which is the third smallest value? (a) -5 (b) -0.04 (c) o (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -156 - -157. Let p = 38 - 0. Calculate the common denominator of 27\/17 and (y + p\/(-48))\/(4\/(-12)).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 980*r + 596 + 523 + 478 - 329 wrt r.\nAnswer: 980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 - m**2 + m - 1. Let a(s) = 7*s**3 + 51*s**2 + 3*s - 2. Give -a(h) + 2*i(h).\nAnswer: 3*h**3 - 53*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -17517*l - 420361. Calculate n(-24).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -o - 2*b, -8*o - b + 173 = -4*o. Suppose -18 = -2*g + o. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((238\/(-4))\/7)\/(59\/(-49442)). Which is smaller: 7121 or l?\nAnswer: 7121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/4 + 11*u**2\/2 + 10*u = 0.\nAnswer: -20, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-6))\/(28\/(-56)). Sort 4, -106, z, 1 in decreasing order.\nAnswer: 4, 1, z, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 3*x + 15, -336 = 3*w + x - 341 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -428733633?\nAnswer: -428733633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -186403471*y**2. Let p(a) = -a**2. What is p(u(i))?\nAnswer: -34746254000847841*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + 115 + -115?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-128)\/120)\/(6*2\/18))\/((-56)\/200).\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixip when four letters picked without replacement from pppipxppppp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -413 - 2*n - n + 372. Let f be o(-15). Let y(p) = -p**3 - 4*p. Let j(c) = c**3 + c. Give f*j(x) + y(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*l + 183 + 968*l + 425*l.\nAnswer: 1250*l + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 2*v**5\/15 - v**4\/24 + v**3\/6 + 3*v**2 + 10. Let z(k) = k**3 - 11*k**2 + 10*k + 1. Let w be z(10). Calculate p(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 24*r - 20. Let x be f(25). Suppose -x*g = g - 438. What are the prime factors of g?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5*n**2)\/(n**(-5)\/(((n\/n**(-1\/4))\/n)\/n)))\/((n**(-2\/5)*n)**(-6\/7)*n**(-3)*n**(2\/19)) assuming n is positive.\nAnswer: n**(38993\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20006132 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.37 + -27.37. Which is the biggest value? (a) -0.1 (b) 16\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1296) + sqrt(1296) + (2*(2*sqrt(1296) + sqrt(1296)) - sqrt(1296)))\/(sqrt(144)\/((-2*sqrt(12) - sqrt(12))*-4 + sqrt(12))).\nAnswer: 4 + 546*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1117713, 1117704, 1117695, 1117686?\n\"Answer: -9*x + 1117722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 9:49 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-112)\/(-28) + 2\/(-4)*-6. Solve 3*r = -4*r + o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a factor of 138050810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2 - 7 - 4*y + 2 + y**3 - 2*y**3 + 6*y**2. Let n be i(5). Suppose b**3 + 1\/2*b**4 + 0 + 1\/2*b**n + 0*b = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 1.9. Let t = 9.6 + d. Let f = 8.36 - t. Round f to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + 4 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**3 + 4*x**2 + 26*x. Let w(r) = 12*r**3 + 14*r**2 + 78*r + 1. Give 7*n(c) - 2*w(c).\nAnswer: 4*c**3 + 26*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/3 of a decade?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 2643*r**3 + 2636*r**3 + 0*r**2.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 5:06 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 0.1, 0.4, -3\/2006, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 709, 704, 695, 682, 665, 644, 619?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - c**5 + 2*c + (-2 + 2*c**4 + 2)*(0*c - 4*c + 2*c) - 2*c**5 - 1 + 1 - 2*c**4 - 189*c + 47*c**5 + 189*c.\nAnswer: 40*c**5 - 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1 - 183*l - 141*l + 376*l. Determine o(-1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 30 = 5. Let v(k) = -k**2 + 6*k - 1. Let u be v(o). Suppose u*i - 14 = -2*d, 3*i + 5*d - 10 = 3*d. Solve b = -2*c - i, -b - 3*b - 16 = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212 by 59.\nAnswer: 212\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2\/(-8)*(-3916)\/(-89)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**3 - 18*r**2 + 2*r + 1. Give u(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.97 + -0.03. Let l = 4.58795 + -7.587. Let j = h - l. What is j rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/6)\/d**(-1\/10)*(d*d*d**(2\/7)*d*d)**(-33) assuming d is positive.\nAnswer: d**(-14822\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Suppose 3*u = -s + 11, 5*u - 20 = -0*u. Is s greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12112052 (base 6) to base 5\nAnswer: -44222114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14679952 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ccdtcbdbtttc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -17569.77 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -981164*v**2. Let h(c) = 1169*c. Determine h(m(b)).\nAnswer: -1146980716*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t\/t**(-2\/7))\/t)\/t)**0)**1*(t\/(t\/(t**(-1)\/t)*t))**(-4\/7)\/((t*t**(-1))\/t*t*(t\/((t**(1\/2)*t*t)\/t)*t)\/t) assuming t is positive.\nAnswer: t**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/230)\/((-15)\/(47700\/(-24))) and -27\/70.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -99. Suppose 5*m + g = 296. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 21 - (-19 + 28) - -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*b - 95*b = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20790 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -358 - -2351. Suppose 3*p - s = 107. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -3. Calculate the remainder when (-58)\/(-3) + 1\/u is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 4*k**2 + 4*k. Let s be x(-8). Let m = 6351 + -6323. Calculate the highest common factor of m and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -10 + (-9 - (8 - 38))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13368364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 207690*p - 415380. Determine a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = -20. Solve -u*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s + 3*s + 8*s - 1 + 8 + 18*s in the form q*s + o and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10) - (-2)\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760 is divided by 352.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tagrgrrrgartrrr. Give prob of sequence raat.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 22, -4 in descending order.\nAnswer: 22, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, -1.3, 3\/5, 0, 28 in decreasing order.\nAnswer: 28, 3\/5, 0, -0.5, -1.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - 541\/6. Let i = 0.9 - 1.4. Which is the smallest value? (a) -3\/2 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53\/3? (a) 0.1 (b) 80 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2794352c + 5?\nAnswer: -27943527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16585 - -265457\/16. Calculate the common denominator of f and 2\/4 - (-3071)\/(-581).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1377) + 1) + 3.\nAnswer: -36*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2736) + -1.\nAnswer: 1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f + 191. Determine w(16).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 112*h**2 - 583*h - 216. Let w be i(117). Solve 0 = -w*g + 205 - 223 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -58*v**4 + 2266*v**3 + 366*v**2 - 20394*v + 1404 = 0.\nAnswer: -3, 2\/29, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8328257247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o + 4. Let k(c) = -34*c - 1. Let d(h) = -75*h - 1. Let i(f) = 4*d(f) - 9*k(f). Give 3*i(w) - 4*m(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 11 + 2. What is the remainder when -1*(1 + (-34)\/2) is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 17*u**2 + 13*u - 36. Suppose 6*d + 48 = 3*d. Let z be j(d). Let h(c) = c**3 - 11*c**2 + 3*c - 29. What is the hundreds digit of h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b - 14*b - 2*b**2 - 10*b + 8*b - 38.\nAnswer: -2*b**2 - 47*b - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154259001 to the power of 1\/2, to the nearest integer?\nAnswer: 12420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-28)\/(-7) + 5. Suppose 0 = u*a - 177234 + 38601. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*w - 36*w = -207*w + 24*w - 4112 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(5\/30). Let c(o) = o + 1. Let r be c(5). Suppose 2*s - r = -0*s. Do y and s have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/255354 and -143\/144669648?\nAnswer: 1591366128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/10)\/(99\/825). Suppose -342 - 588 = -f*o. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349 divided by 9.\nAnswer: -349\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k - 53 = -5*t, 3*k - 3*t - 69 = 0. Calculate the remainder when (-4)\/14 + 993\/k is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-5 - -6) + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1459\/6 or -244?\nAnswer: -1459\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*u + 0 = -46, -5*u + 220 = -5*p. Let w = 56 + p. What is the greatest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let m be (-4)\/(-18) - (-1720)\/36. Suppose -5*j + j = -m. What is the highest common factor of b and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424139*p**2 + 424138*p**2 + 7 - 7.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1878 - f - 203 - 2*f - f.\nAnswer: -4*f + 1675","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 6. Let j(f) = -f + 3. Let l(u) = -2*u + 6. Let q(g) = -7*j(g) + 3*l(g). Determine 3*m(z) - 5*q(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.4755\nAnswer: -0.0951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 6*c + 4. Let w(x) = 4*x - 14. Let f be w(c). Suppose -3*o = 5*q - 27, -o = -2*q - f*o + 10. Solve -5*h - q*u = 6, 2*u + 2*u = -5*h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:37 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 471787284 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113614970 a multiple of 1818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105895, 105898, 105901, 105904, 105907, 105910?\nAnswer: 105913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(7\/(-7))*(-90)\/(-225))\/(4\/(-90))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*h**2 - 7*h**2 + 5*h**2)*(-1 + 2*h + 1) to n*h**3 + d*h**2 + k*h + u and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1754513928 rounded to 5 dps?\nAnswer: -4.17545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1 = -2*g + g, -22 = -4*g + 2*u. Let j be (g - -6) + (-1 - -1). Calculate the greatest common factor of 99 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 5*u**2 + 7*u + 3. Let j be y(18). Let p = -327 - -344. What is the greatest common divisor of j and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 2*d - 2*d + d**2 + 7 - 4. Let o(v) = -v**2. Give o(g(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -459 + 366.5. Let z = l + 480.5. Let n = z + -385.81. Round n to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 41. Put 3, 0, f, 2 in decreasing order.\nAnswer: 3, 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/8*1\/((-6)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*b - 586639 + 584837 = 0 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - ((57 - (127 + -71)) + (0 - 0))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -5, -2, -3 in decreasing order.\nAnswer: 4, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4555700 and 91114?\nAnswer: 4555700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v. Let c(n) = -21*n**2. Determine x(c(g)).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -12*g**2 - 34*g + 65. Determine a(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 29*s**2 + 72*s - 86. Calculate u(-26).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1621422 divided by 38\nAnswer: 42669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -9 + 5 - 30?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 66703.05 millennia?\nAnswer: 667030.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let n(w) = -4. Give -n(t) + s(t).\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 7. Let b be p(5). Suppose 0 = b*f + 3*f - 40. Suppose f*l - 3*l - 26 = -k, l = 3. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 588, 2393, 5398, 9603, 15008, 21613, 29418?\n\"Answer: 600*h**2 + 5*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) + (-1)\/3. Let d = -63 + 86. Let x = d - 19. What is the second biggest value in t, 1\/10, -3, x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2305)\/461*(-3)\/(-23*45)?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 5*x**2 - 52*x + 8805. Is 255 a factor of o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 38379812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 - -18246952?\nAnswer: 18246952.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 21, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -767 - -787. Let m be 0\/(-1) - 0 - -10. Calculate the highest common divisor of o and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1366135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 14. Let x(g) = 1. Let b(s) = -q(s) - 6*x(s). Let k be b(-6). Let i be 3 - (-1)\/(k\/(-6)). Solve 20 = v - 5*u, i = -v + 5*v + u - 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 + -23 + -13 + 7 + (-8 - 34)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/42185 and 28\/2301?\nAnswer: 126555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*b + 939*b + 3476 = 423*b for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7944840 a multiple of 1465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -12*w**2 - 17*w - 12. Let d(x) = 28*x**2 + 35*x + 26. Calculate 4*d(n) + 9*h(n).\nAnswer: 4*n**2 - 13*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -61 - (7 - (-5 + 3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 1:46 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3 + 0 + 4 - 3*g**2. Let y be z(5). Let h = y - -155. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(74 - 169 - -94).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**8\/6720 + c**6\/1440 + 22*c**3\/3 - 10. Let s(a) be the third derivative of v(a). Suppose s(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 9. Let u(b) be the second derivative of -b**5\/20 + 2*b**2 - 11*b. What is -9*u(f) - 4*z(f)?\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-21)*(-7)\/(-2) + 64. Suppose -9*g + 1080 = 3*g. What is the highest common divisor of g and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 546, -5 in increasing order.\nAnswer: -12, -5, 546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 7, -2 in increasing order.\nAnswer: -7, -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, 1 r, and 1 w when four letters picked without replacement from {m: 1, w: 2, o: 1, r: 1, g: 1, c: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 971 - 1003 - (-28 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 15. Let d(b) = -552 + 1106 - 562 + b. Give 11*d(x) - 6*w(x).\nAnswer: 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51020 is divided by 259.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 8:16 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - g. Let b(r) = 45*r**2 - 20*r. Let x(h) = -b(h) + 20*p(h). Let u(n) = -3*n**2. What is x(u(q))?\nAnswer: -45*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26\/9, -8.497, -748?\nAnswer: -8.497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 931.0269 + -922.85. Let x = u + -0.0969. What is x rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277 - -164476.\nAnswer: 164199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1197, 2392, 3587, 4782?\nAnswer: 5977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 440403 (base 5) to base 10\nAnswer: 15103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 4, o: 1, h: 5, d: 2, f: 1}. What is prob of sequence of?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -0.2, -3552, -2\/7 in ascending order.\nAnswer: -3552, -2\/7, -0.2, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000106272556 to six decimal places.\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 7*o**2 + 6*o + 28. Calculate v(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1)\/2 - 15\/(-30). Factor -u**5 + 1\/3*u**4 + 0 + y*u + 0*u**2 + 2\/3*u**3.\nAnswer: -u**3*(u - 1)*(3*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 4, -29, -82, -161, -272, -421?\n\"Answer: -s**3 - s**2 - 9*s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42766 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 20979822.26 to the nearest one hundred thousand.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*sqrt(117) + sqrt(2548) + 3)**2.\nAnswer: -6*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 10:28 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -2 (b) 8\/5 (c) -0.2 (d) 9580\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1406 and 180926189?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-24)*38\/209*-21.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 4*z - 1. Let w be j(4). Let k be (w - (-2 - -1)) + -1. What is the smallest common multiple of 2 + k + 4 + 0 and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403938444?\nAnswer: 2, 3, 7, 13, 67, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w - 39*w + 16 = 0. Let v(s) = s**2 + 4*s - 4. Give v(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a factor of 786109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181979360?\nAnswer: 2, 5, 881, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-50)*(-720)\/96)\/((-6)\/(-15))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(130) + sqrt(130)*-2 + sqrt(130))*2 - sqrt(130)) + 1*sqrt(130)*-1)*-1)\/(-2*-3*sqrt(10) - 2*sqrt(360)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -919680 divided by -4.\nAnswer: 229920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01081626 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(960)\/((sqrt(15)*2)\/sqrt(5)) - ((sqrt(605) + -2)**2 - ((3*sqrt(5) - sqrt(5)) + -5)).\nAnswer: -614 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-10))\/(1665\/61050)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297451 is divided by 5041?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q**2 + 46*q + 9. Let x be p(-5). Solve 3*f - 5*s = -12 + 42, 0 = 2*f + x*s + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*k*s**3 - 255*k + 39*s**3 + s**2 - 2*s wrt s.\nAnswer: 48*k + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.7 + -0.7. Let k = -2 + 0. Let j = 2.1 + k. What is the nearest to j in 2, 2\/13, l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(3*t**5 - t**5 - 4*t**5) + 8*t**5 + 127*t**4 - 127*t**4.\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-6716)\/(-736) - 2\/16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-45))\/((-38)\/342)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - 70. Solve -161 + 8*v**3 - 4*v**4 - 5*v - 2*v**5 - v**5 + h*v**2 + 159 = 0.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by (1428\/(-119))\/(3\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/13 (b) -3 (c) 0.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5852, -5873, -5896, -5921, -5948, -5977, -6008?\n\"Answer: -g**2 - 18*g - 5833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**2 - 8*k + 7. Suppose 3*l - 17 - 46 = 0. Let y(u) = -3 + 4*u - 55*u**2 + l*u**2 + 18*u**2 + 18*u**2. What is 3*g(h) + 7*y(h)?\nAnswer: -h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3437 + -0.1437. Let u = -355.4 + 355. What is the nearest to 2 in q, -5, 3\/7, u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcvccchhhchhv. Give prob of sequence vc.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**3 + 6*b**2 - b + 6. Suppose -36*y + 40*y - 24 = 0. Let j(n) = 15*n**3 + 13*n**2 - 2*n + 13. Determine y*j(z) - 13*m(z).\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -16*i + 10*i. Let k be (-7)\/((-98)\/(-4)) + (-4)\/i. Let y be (-4)\/(-6)*(-6)\/(-2). Solve -10 = -k*x - y*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265.044378 - -91580?\nAnswer: 90314.955622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114487 is divided by 10608?\nAnswer: 8407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 3159\/6 + -3 - 1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 21 - 7 - 2*g**3 + 0*g**4 - g**2 + g**4 as n*g**4 + h*g + a + p*g**3 + z*g**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j - 2*q - 61, -8 = -2*q. Let d be (-230)\/25 - 1\/(-5). Is d bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 1. Let b(d) = -11*d - 3. Let r(h) = -b(h) + 3*v(h). Let a(u) = -3*u. Give r(a(j)).\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1184.95 + -1154. Let r = -30 + u. Let j = -0.05 - r. Which is the smallest value? (a) 2\/5 (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15115 - -15114. Let q(w) = 53*w**3 - 3*w**2 + 2. Let n(j) = -j**3 - j**2. Give f*q(x) + 3*n(x).\nAnswer: -56*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50.5 - -50. Which is the third biggest value? (a) 0.2 (b) f (c) 3\/8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*(sqrt(325) - sqrt(325)*-4) + sqrt(325) + (sqrt(325) + -2 - sqrt(325))*1))**2 + 3.\nAnswer: -320*sqrt(13) + 83207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104 and -1993.\nAnswer: 207272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4643\/15 >= -310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5705 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 102, -8106 in descending order.\nAnswer: 102, 21, -8106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 10*s**2 + 15*s + 18. What is the remainder when p(-6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-4)\/(48\/57) + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.8 - 1.8. Let b(p) = -p**3 - 18*p**2 - 11*p - 572. Let c be b(-19). What is the nearest to y in 0.3, 0, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + n - 5003 = 0, -5*t = -6*t - 2*n + 1006. Let k = 86 + t. What is the second derivative of -3*g**4 + 1067*g - k*g + 3*g**4 - 12*g**5 wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/7))\/m)**2)**19 assuming m is positive.\nAnswer: m**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 - w**2 - 2*w - 1. Suppose -10*a - 30 = -16*a. Suppose n + a = 6*n. Let i be ((-9)\/3)\/n + 2. Determine o(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7229 - -209639\/29. Sort 3, c, -0.1, 0.4, -3 in increasing order.\nAnswer: -3, -0.1, c, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542\/3 - 2\/3 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3272869?\nAnswer: -2\/3272869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -131*k**2 + 254*k. Let w(a) = -259*a**2 + 507*a. Let s(q) = -7*h(q) + 3*w(q). Find the second derivative of s(n) wrt n.\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(1*sqrt(392)) + (sqrt(68)\/(sqrt(8)\/sqrt(2)) + 2)**2.\nAnswer: 29*sqrt(17)\/7 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 23. Solve -4*y + v*y = 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + -1. Let w be 2610500\/(-1) + h + 12. Let q = w + -1089501. What is q rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p - 69. Let s be j(8). Let n(z) be the first derivative of 0*z**2 + s - 4\/3*z**3 + 0*z + 5\/4*z**4. Find the third derivative of n(f) wrt f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -135650 and 31.\nAnswer: -135619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c + 184. Let a be s(-36). Suppose -4*r + 5*r + a*h = 9, -r - 3*h = -7. Solve n = r - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -2 - 5*u + 0*u**2 + 1\/3*u**3. Let p(b) be the first derivative of -2*b - 1. Calculate -5*p(k) + 2*s(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/3062447 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -158 + -3?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-32)*2)\/(63\/24)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120\/7*b - 4\/7*b**2 + 0.\nAnswer: -4*b*(b - 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 67*c = -65*c + 6, -2*a - 15 = 5*c. Sort 0.5, -0.07, a, 0.4, -1\/12 in decreasing order.\nAnswer: 0.5, 0.4, a, -0.07, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r + 84 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 80 = 32. Suppose -4*s + 0 - f = 0. Let p be ((-4)\/(-38))\/(s\/(-2)). Is 0 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sissiijnnn. What is prob of picking 1 i, 1 s, and 1 j?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1061? (a) -4 (b) 2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 25.055. Let j = r - 0.1. What is j rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*(a\/(a\/(a*a**13)))\/a*a**(-18) assuming a is positive.\nAnswer: a**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 - 10*d**2 - 9*d**2 + 26*d**2. Let f(v) = 18*v. Let n(r) = 17*r. Let h(q) = -3*f(q) + 4*n(q). What is h(t(w))?\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28.03 or 2?\nAnswer: 28.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 6 + 2*b + 13 - 3 + (0*b + b - 3*b)*(-5*b + 5*b - b**2) to the form c*b**2 + x*b**3 + k*b + o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 13) in base 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 2*a + 20. Let j be m(4). Sort -0.4, j, 0.2, 73 in decreasing order.\nAnswer: 73, 0.2, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 9:33 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6229 = 6*c + 829. 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: Simplify (w**(1\/7))**(-36)*((w\/(w*w\/(w*(w*w**(-2\/9)*w*w)\/w)))\/w*w)\/(w\/(((w*w**(3\/10))\/w)\/w)) assuming w is positive.\nAnswer: w**(-3191\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = -21*l + 269 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2372587 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.06 - -8. Let q = j - 1.94. Let i = q - -1.6. Which is the second smallest value? (a) i (b) 3\/7 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 v, and 1 x when four letters picked without replacement from {r: 4, y: 4, h: 5, z: 1, x: 4, v: 2}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 - (-14)\/3. Suppose 3*b = 19 - 4. Let v = -1 + b. Is v less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/2, -40, 0.29, 3 in increasing order.\nAnswer: -40, -1, 0.29, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b - 100?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.832632 rounded to 2 dps?\nAnswer: 10.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 385209916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:28 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 - 134 = 18*f + 370 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 237 + 5 = 0. Suppose -4*q - 2*t + 0*t = -50, 5*t = -2*q + g. What is the remainder when 36 is divided by 2 + (-15)\/6 - (-174)\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18295 = 616*i - 5716 + 4915 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 9*m = -6. Solve -m*u - 2*p = -2, 3*p = 2*u - 2 - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/189 or 3?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.3 + -34. Let u = i + -1.6. Let n = 19.5 + u. What is n rounded to 0 decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -1992?\nAnswer: 17\/996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1359317458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -t - 1, -2*t - 6 = -0*k - 4*k. Suppose 2 = -2*x + 2*u, 5*u - k - 1 = 4*x. Let v(o) = -2*o**3 + 4*o**2 + 4*o + 3. Is v(x) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 5, 1, -6 in descending order.\nAnswer: 5, 1, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510303313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 6*y**3 - 200*y**2\/11 + 8*y\/11 - 110. Factor h(r).\nAnswer: 2*(r - 2)*(99*r - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -295318*c*z**6 - 2820*c*z**2 - 6*c + 12*z**2 wrt z?\nAnswer: -35438160*c*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -13*o**3 - 3*o**2 + 3*o + 595. Give z(0).\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times -8?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -971720, -971721, -971722, -971723, -971724?\nAnswer: -971725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 23 + 16. Let j = 16 + o. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14864?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/8 + 1)\/((-6)\/20). Suppose s + 6 = 5*d, -5*s = -v*d + 3*d + 7. Which is the second biggest value? (a) -0.1 (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -939\/5 - -187. Which is the smallest value? (a) -4\/7 (b) -0.2 (c) w (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -9*i**3\/4 + 437991*i**2\/2 + 16802436*i + 43249152 = 0.\nAnswer: -74, -8\/3, 97408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 3:08 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/27*11592\/(-1288)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (450*759 - 4)\/(6*(-3)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (192\/5)\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -256\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + (-28)\/(-8))*0. Suppose -5*g + y*g = -25. Suppose -4 = -2*n, 0 = g*d - n - 44 + 1. Calculate the greatest common factor of 81 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -38. Let b = 3 - a. Solve q = -v - 4*q + 3, -v + b*q + 3 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -28, -41, -56, -73, -92, -113?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/23)\/(a**2*a*a)*(a**(-15)*a)\/(a*a**(-3\/17)) assuming a is positive.\nAnswer: a**(-7326\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microsecond in nanoseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 43*h**4\/24 + 229*h**2. Let l(k) = -3*k**2. Determine l(u(m)).\nAnswer: -5547*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-330)\/(-15) - 1*4. Suppose -14*i = -t*i + 432. Suppose 2*w = 5*l + 63, -3*l + i = 5*w + l. What is the lowest common multiple of 18 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + m - 6*m - 21 = 0, -5*f = 2*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57229\/30740 - 18\/1537. What is the common denominator of u and -5*13\/(-2080)*(-218)\/(-18)?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/3))**(1\/25)\/(i*i**(1\/4))**19 assuming i is positive.\nAnswer: i**(-7117\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*v - 2*f + 19 = 249*v, 4*f = 5*v - 67 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s**2 - 10339*s**3 + 4*s**2 + 5170*s**3 - 5*s**2 + 77*s + 5172*s**3 in the form g + y*s**2 + l*s**3 + f*s and give f.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 18*k**2 + 15*k - 262. Determine h(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.3102 microseconds in nanoseconds?\nAnswer: 350310.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 806, 1603, 2394, 3179?\n\"Answer: -3*p**2 + 806*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) -2\/17 (d) -71 (e) 3\/2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 8*k**5\/5 - 89*k**4\/4 + k**3\/3 + 7670*k + 6409. What is the first derivative of i(y) wrt y?\nAnswer: 32*y**3 - 267*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 814312268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427.663t to milligrams.\nAnswer: 427663000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*((sqrt(162) - (-3 + sqrt(162)*2)**2 - sqrt(162)) + 4 - (5 + -1*sqrt(6)\/sqrt(3)*1)).\nAnswer: -545*sqrt(2) + 3290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 3*i - 319*i**2.\nAnswer: -319*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8495 by 36304.\nAnswer: -8495\/36304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - 25. Suppose -193 + h = -2*u. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 + 25876103.3\nAnswer: 25876103.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -94*i + 95*i - 5*h, 0 = 4*i + 2*h - 0*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(sqrt(153)*-1 + sqrt(153))**2*-1 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k - 898 + 2386 = 0. What is the greatest common factor of k and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 3. Suppose 5*m - 4*l = -1 - 20, -5*l = 5. Let t be k(m). Let y(a) = a**t - 5*a + 2*a + 3*a. Let b(h) = h**2. Calculate y(b(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 54\/2470237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-2)\/1 - (-4 + -1). Suppose -h*z - 4*b + 332 + 1944 = 0, 3*z - 2*b = 2282. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n**4\/2 + 681*n**3\/2 + 4011*n**2\/2 - 3705*n\/2 - 507 = 0.\nAnswer: -13, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2 + 27*l**2 - 17*l**2 - l + 52*l**2. Let m be p(6). Let z = m - 1308. What is z rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l*l**(-2\/5))**(-2\/7))**(-2\/81))**(-2\/97) assuming l is positive.\nAnswer: l**(-104\/274995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-186)*(9\/(-22))\/((-99)\/363).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/7 + 8872*n**2\/7 + 8844*n\/7 - 53208\/7.\nAnswer: 4*(n - 2)*(n + 3)*(n + 2217)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382427104 to the nearest integer?\nAnswer: 19556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -59*l - 4 + 37*l**2 - 63 + 15. What is the derivative of h(m) wrt m?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 37 = 233. Suppose 7 = 5*z - 43. What is the greatest common factor of z and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 35, -0.4, 0.1, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 293911370.7 to the nearest 100000.\nAnswer: 293900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74660 - 294119 = -4165*i - 68899 for i.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 37, 53, 61, 55, 29, -23?\n\"Answer: -m**3 + 5*m**2 + 10*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + d**2 + d + 2. Let q be u(0). Let z(v) = -7*v. Give z(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -55*r**3 - r**2. Is 14 a factor of i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2 - 9*k - 21. Let w(v) = 3*v**2 + 5*v + 3. Let u(n) = -8*n**2 - 14*n - 8. Let l(m) = 4*u(m) + 11*w(m). Let d(j) = 3*l(j) + s(j). Factor d(o).\nAnswer: -2*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + sqrt(204)\/(sqrt(16)\/sqrt(4)))\/sqrt(3)*-1.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 9, z: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f. Suppose -2*z = -s + 1, z + 4 = -3*s - f. Let b(a) = -6*a**3 + a**2 + a. Determine b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*u = 546*u + 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7233 * 4.\nAnswer: 28932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from eeeszpzezeszespee?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 84854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 291313520 a multiple of 1880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Let r = -0.39 - -3.09. Let f = r - -0.3. What is the second biggest value in -5, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1429\/4 - -3221\/9. What is the common denominator of (-8)\/(-20) - 41\/(-40) and d?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/((-2)\/(-4)). Let h be 3\/c + 108\/(-44). Is 2 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1937, 3876, 5815?\nAnswer: 7754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*y + 38 - 106, 4*y - 46 = 5*q. Suppose -y*o + 28 = -21*o. Is 2 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - 4*m)*(-m**3 - m**3 + m**3) - 9 + 9 + 6*m**4.\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-440))\/((-8)\/30).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*z**2 - 1 + 26*z**2 + 26*z**2 + (0 + 2*z**2 + 0)*(0 + 3 - 4) + (5 - 5 - 2)*((-2*z**2 + 0*z + 0*z)*(-1 + 2 + 1) + z**2 + 2*z**2 - 4*z**2).\nAnswer: 18*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*u + 21, -3*z = -5*u - z + 21. Suppose 3*h = u*g - 9, h + 3*h + 8 = 0. Let x(j) = -2*j. Give x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = x + 8, 0*x + x + 4*j = -6. Suppose -2*y + 6 + 2 = 0. Suppose 3*w + 42 = 4*b + 3, 0 = b + w - 1. Solve -x = y*q - b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44037*b**4 + 4*b**3*p + 3*b**3 - 574*b**2 + 3*b*p + 19*b + 2*p - 1 wrt b.\nAnswer: -1056888*b + 24*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/28 and -151\/588.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -24. Let m(n) = 8*n**2 - 25*n**2 - 5 + 8*n - n**c + 6*n**2 + 7*n**2. Determine m(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**3 + 73*i**2 + 13*i - 11. Determine v(-18).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 + 2. Let g(z) = 3. Let i(w) = 14. Let b(p) = -9*g(p) + 2*i(p). What is -2*b(d) + j(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (42\/2)\/3. Let j = g - -14. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 42 + 3*a + 32 - 4*a + 3*a + 4.\nAnswer: 2*a + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 1. Let k be j(3). Suppose 2*b = b - k. Let n be (-2)\/b - 28\/(-16). Solve a + n = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f + 38*f + 1176 = 32*f for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - l = 67 + 8, 4*p - 5*l - 89 = 0. What is the lowest common multiple of 18 and p?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 12:54 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.02 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 - 70. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7105290 is divided by 403?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/20)\/(6*(16*(-5)\/(-4400))\/4).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 - 11 = 0. Let p be v\/(3 - (-1424)\/(-474)). Suppose 2*b - p = 341. Is b 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 dbuidaiuidd. Give prob of sequence bui.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2. Let v(y) be the third derivative of 0*y + 0 + 0*y**3 + 1\/8*y**4 + 27*y**2. Determine o(v(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 17*o + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-160)\/(-2800))\/(1\/(-10)))\/(18\/7)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = h - 4*h - 15, -5*h = 4*w + 22. Let q be -2 - w - 15\/3. Let t = -1 - q. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11222003300 (base 4) to base 13.\nAnswer: -3cc014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1. Let o(g) = 3*g + 3. Let w(c) = -4*o(c) + 9*y(c). Let q be w(-3). Find the first derivative of -3*p**4 - 5 + 2*p**4 + q wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 r, and 1 c when three letters picked without replacement from bebtbgrbrrceebccebc?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(39) + (sqrt(2496) + 1*sqrt(2496) - sqrt(2496)) + sqrt(195)\/(sqrt(5)*-2)))\/((sqrt(3) - -1*sqrt(3)*-3) + -2*sqrt(243)).\nAnswer: 17*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/24*-2*-3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 6*o - 45. Give n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5697.8775 minutes to days.\nAnswer: 3.956859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiuauaai. Give prob of picking 1 u and 2 i.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 37, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 15 = -0*n. Suppose -n = -5*j + 2*j. Let d = j + -1. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 1 + 5*z**2 - 7*z - 2. Calculate the remainder when 88 is divided by q(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.242 rounded to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -11*w**4\/6 - w + 61. Let x(p) = -5*p. Determine x(c(t)).\nAnswer: 110*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 4*z**5\/15 - 3*z**4\/8 - 5*z**3\/2 - 108*z**2. Does 52 divide r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**4 - 59*p - 6 wrt p.\nAnswer: 4*p**3 - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - 5*l**2 + 5*l**2)*(-l + l + l**2 + (0 + 2 + 0)*(6*l**2 - 3*l**2 - 2*l**2) - l**2 + 0*l + 0*l - 3*l - l**2 + 3*l + 4*l**2 - 2*l**2 + 5*l**2).\nAnswer: 32*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5480 + 1?\nAnswer: -5479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000729343906 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (6 + -5 + 8 + -6)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 15 + 3. Let c(r) = 29*r - 1. Let q be c(3). Suppose q = n*w - 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9404031.2 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*i**3 + 342*i**3 - 176*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:01 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 9 + -13 - 2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38676686.\nAnswer: 2, 19338343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5871.6 less than 98911282?\nAnswer: 98905410.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/65*(-35)\/(-14))\/((-36)\/(-48))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by -24.\nAnswer: 121\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 238*h**2 - 240*h - 287. Give k(239).\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-347*r**3 + 309 - 309)*(-1 - 3*r + 1) + (-5 + 2*r + 5)*(-2*r**3 - 3*r**3 + 2*r**3).\nAnswer: 1035*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 400555.3 weeks in microseconds?\nAnswer: 242255845440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*v + 8*k + 286, 3*v + 439 = -5*k. Let m = -146 - v. Let g(f) be the first derivative of f**3\/3 + 4*f**2 + 2*f + 1. What is g(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -2)*-2*4\/24. Suppose b = 5*f - 56, -3*b + h*b = 5*f - 72. What is the least common multiple of f and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018407 to 4 dps.\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 0 + 1 + 0. Let m be v(1). Suppose m = d - 3 - 1. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23209850?\nAnswer: 2, 5, 464197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -1.6, -0.2, 117, -4 in descending order.\nAnswer: 117, -0.2, -1.6, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118668 + -64087. Suppose -241896 = -5*p - k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9276400 to the nearest 100000.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.6, 2\/5, 0.2?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/40 and 89\/18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzfoffzozooffoffo. Give prob of sequence fzzo.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, u: 2}. What is prob of sequence uiiu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 87740 rounded to the nearest 1000?\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*t - 29. What is the remainder when 37 is divided by t - 891\/(-36) - 2\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -37, 97, 245, 413, 607?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 9 = 5*y, -5*y - 11832*i + 11836*i = -12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6854737\/249 - -27529. Are q and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + 24. What is the common denominator of -105*(n\/(-44) - -2) and 58\/144 - 4\/(-18)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6155 (base 10) in base 16?\nAnswer: 180b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1146 is divided by 95.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**4)\/(n**(-2\/7)*n))\/(n**1)**(-38))**22)**22 assuming n is positive.\nAnswer: n**(143264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2589? (a) -3 (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v = -41*v - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 73*l + 62 = 0. Let r be (-3)\/9 - (-3)\/9. Solve r = 3*j - 0*j - 5*v + 17, l*j = -3*v - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2191382100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.11 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7492\/24 + 6\/(-36). Calculate the greatest common factor of r and 144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1949, 1944, 1939?\n\"Answer: -5*t + 1954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 5*x - 7*v = -54, 3*x + 9*v - 30 = -18*v for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -7*g**6\/6 + 10*g**4\/3 + 7*g. What is the third derivative of x(j) wrt j?\nAnswer: -840*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0874 + 27.655957?\nAnswer: 27.743357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -909449*m + 909451*m + 31, -8*v - 109 = 5*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = -36*h + 60 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252*0.7242.\nAnswer: -182.4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*g**3 - 1367*g**2 + 71*g**3 + 1367*g**2 + 75*g**3 + 80*g**3 - 292*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 12 - 39 - 70 = 0. Let i(r) = -r**3 + 11*r**2 - r + 17. Give i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30336 and 873984?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1019, 2099, 3173, 4241, 5303?\nAnswer: 6359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16643 is divided by 3033?\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 3470*w**3 + 608945*w**2 - 2394300*w + 2380500.\nAnswer: 5*(w - 345)**2*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 55. Which is the second biggest value? (a) d (b) -0.3 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*c + 67*c - 9513 = -1875 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1508 + 1580. Suppose 88*c - 82*c = 18. What is the highest common divisor of c and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = 13. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 16. Suppose 3*h = 5*h - i. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -828\/7 or -118?\nAnswer: -828\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29352.\nAnswer: 2, 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -64\/9, -7\/3, -44, -2\/9, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53\/2 + -29. Which is the nearest to 1\/2? (a) 10\/7 (b) 1 (c) m (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let j(v) be the first derivative of -7573*v**2\/2 + 3013. What is w(j(h))?\nAnswer: -7573*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -10. Let r be (-10)\/(-4)*(-738)\/(-27). Let s = r - 71. Are s and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 3, -1\/3, 0.4, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -19 - 21. Suppose 6*n + s = 2*n. Is 7 a factor of 2\/n*(-8 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1456174 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2345588, -2345585, -2345586, -2345591, -2345600?\nAnswer: -2345613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 85035.06067 to the nearest ten.\nAnswer: 85040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3658306 to 2 decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -332*c**2*m**3*p - 19*c**2*m + 2*c*m**3 with respect to p.\nAnswer: -332*c**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28162.\nAnswer: 2, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1 greater than or equal to -33143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdqvddqqxd. Give prob of picking 1 d, 1 q, and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180297 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ychhycyzuycyyh. What is prob of sequence cyzh?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5410097.\nAnswer: 7, 11, 17, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4b9b (base 14) to base 9\nAnswer: -20173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o + 1. Let f(p) = 128*p**3 - 5*p - 5. Calculate f(w) + 5*u(w).\nAnswer: 123*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/4 (c) 5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 + 43*i - 53. Let l be c(7). Solve -p - 6 = l*y, 9*p - 4*p = 2*y + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 6*r**2 + r + 6. Let z be t(-6). Let y be (-1)\/(1\/(-4)) + z. What is the smallest value in y, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.416375ns to microseconds.\nAnswer: 0.000416375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**2 - 3*l**2 - 3 + 6*l + 6*l**2. Let v be i(5). Solve 14 = 3*r + v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*z + 22*z + 5 + 4 - 13 - 224*z**2 wrt z.\nAnswer: -448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(5\/2)*y)**(-27) assuming y is positive.\nAnswer: y**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -430290 to the nearest 1000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 6*v - 8*v + 4*v - v - 18*v**2 in the form b*v + n*v**2 + q*v**3 + j and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2*(10\/(-4) - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247 + -398. Let i be (-9)\/12 + 5401\/(-36). Let m = v - i. Which is the third smallest value? (a) -0.4 (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146956 is divided by 525?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, c: 4, z: 12}. Give prob of sequence cee.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**5\/15 + j**3\/6 + 3*j**2\/2 - 3*j. Let d(c) be the first derivative of n(c). Calculate d(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 9) to base 16.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 79*p + 511. Does 137 divide m(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 14*y - 84 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 171*r - 162*r - 18. Suppose 3*v - 2*v - 601 = -3*t, -4*v + r*t = -2362. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 16*r - 14. What is the remainder when 99 is divided by f(-12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(176) + sqrt(176)) + sqrt(176) - sqrt(176))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34781171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 351887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 + -32. Let j be 1\/(-4 - (-531)\/p). Calculate the remainder when 17 is divided by -1 + j\/4 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 15*u + 104 = 0. Let x = -49 - u. Suppose 0 = 4*i - 2*p - 54, 0 = 5*i - i + x*p - 29. Solve 4*v + 5 = -i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 18, 10 in descending order.\nAnswer: 18, 10, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 779 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72223418 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 27*f - 2*c - 6 = 0, 0 = -5*f - 3*c - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -35.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -2)*(4 + -2). Let i be 1\/(r\/(-4) + 2). Let u = -0.19 + -0.01. Which is the closest to i? (a) u (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.8 (b) -3 (c) -3\/2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196831 is divided by 559?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.23, 2, 9, -1\/507, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*a + 2 + 8, 5*y - 12 = 4*a. Find the first derivative of -1 + 2*w**4 + 0 - y*w**4 wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**6\/2 + 5*b**4\/4 + 43*b**2 + 380. Find the second derivative of a(m) wrt m.\nAnswer: -60*m**3 + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12410 + -102?\nAnswer: 12303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -5*t + 41. Let f = t - 15. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41441010 (base 5) in base 8?\nAnswer: -1236327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0.3, 4, 12, 0.06, -1.7 in increasing order.\nAnswer: -1.7, 0.06, 0.3, 4, 12, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2035\/3 + -1363\/2. Let r = -57053\/6060 + -1\/505. Find the common denominator of j and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -80)\/(7\/154) - -6.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -264871\/99350 - -12\/1987. Let d = s - -4\/25. Let w be 1\/6 + 16\/(-24). What is the closest to w in -3, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -855278850 rounded to the nearest 1000000?\nAnswer: -855000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {p: 4, h: 7, a: 1, q: 2}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-127)\/4445*(-2)\/3*7.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = -252. Suppose -s = 5*h - 18. Let i(p) = -p - 5. What is the units digit of i(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-6)\/(-3))\/2. Let w = 6 - 10. Let r = -36 - -35.8. Which is the closest to 1? (a) w (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 10 = -3*u, 4*t - 3*u - 7 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1550 - 4920. Let f = s - -345724. Suppose -2*t - 57646 = f. Round t to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 1, v: 5, e: 1, u: 3, b: 2}. What is prob of sequence vbu?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -342002616 - -1318.\nAnswer: -342001298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*a**2*f**4 + a**2*f - 105*a*f + 63*f**6 - 2*f**2 wrt f?\nAnswer: 216*a**2*f + 7560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 1.2. Let g = 2 + -2.3. Which is the nearest to -1\/2? (a) i (b) -0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -117, 4, -3, -4, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2 + 40345*a + 57709824 = 0.\nAnswer: -1383, 41728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-31))**(-37))**47 assuming a is positive.\nAnswer: a**53909","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/5270*(-8)\/((-240)\/25)*6?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and -1.37.\nAnswer: 0.2603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 2*m**2 - 6 + 1048*m**3 - 524*m**3 - 528*m**3 to w*m**2 + q*m + g*m**3 + c and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11772 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1067960 and 1920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23\/100 + -12\/25. Let x = 5\/12 - f. Let z = 7 + -13\/2. What is the smallest value in z, x, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56370*n**2 + 59536.\nAnswer: -112740*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*t - 63*t + 41*t + 25 - 47*t**2 to p + s*t**2 + m*t and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35055 + -3?\nAnswer: 35052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 20 + 6 + (-1 - 17) + 3 + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 21*u**2 + 20*u - 44. Let d be q(-22). Solve -2*a + 35 = 5*s, -3*a + s + d*s = -10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/5)\/((-14)\/(-35)))\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(245) - 2*sqrt(245)) + sqrt(245) - (sqrt(245) + -2)**2*5)*2.\nAnswer: -2490 + 280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -451 - 277. Suppose -6*m + z = -112. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -1 - (-4 - -2). Suppose 5*x + t - 16 = 0. Solve -10 + 0 = -3*h - 2*r, -x*h + 11 = r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 7\/3)\/(2\/6). Let w be (-2)\/(j\/((-705)\/474)) - -3. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3 = -3*r, 44 = 4*q - 4*r. Let y be q + -2 + -1 + -2. Suppose -l = -y*l + 18. Solve -s - l = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/13 (c) -1\/5 (d) 777 (e) 11 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1002 and 74.\nAnswer: 37074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.83 times 2?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 19 = t + 4, 0 = d + 3*t + 11. Suppose d*o + 9 = -7. What is the second biggest value in o, -5, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 216 = -13*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -372 - -376. Suppose 0 = 3*t + 2*o + 12, 5*t = 6*t - 3*o + 4. Let g be -8*t\/(8 - 0). Solve -g*s - 20 = -3*p, -4*p - v*s + 8 = -0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 21 = -5*w, -5*x = -3*w - 0*x + 10. Let m = -2014\/15015 + 9\/65. Let q = m + -695\/462. Which is the smallest value? (a) w (b) -0.1 (c) -3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -21. Let x(h) = h**3 + 4*h**2 - 2*h - 2. Calculate the lowest common multiple of (l + 2)\/((-3)\/(-30)) and x(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/63)\/(-1))\/((-2)\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*w**2 - 3*w**2 - 2*w**2)*(2 - 1 + 0) + (746 - 153 + 819)*(0*w**2 - 6*w**2 - 6*w**2) to k + x*w + p*w**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueef when four letters picked without replacement from {n: 1, e: 2, j: 3, f: 1, g: 2, u: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260316 is divided by 260251.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 256390 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/15)\/(2156\/(-462))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 220 - 4 = 0. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3777\/39883?\nAnswer: 3777\/39883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.70052 + -2.7. What is h rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 7, l: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 7*z**2 + 5*z + 7. Let l be a(6). Suppose -4 = -4*t + o + 8, -3*t = -4*o + 4. Sort t, 0, l.\nAnswer: 0, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/14882 and 32\/11693.\nAnswer: 163702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00056271315 rounded to six decimal places?\nAnswer: 0.000563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(5*y**4 + 2*y**3 - 2*y**3)*(-3*y + 2*y - y).\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*y - 34 - 239 = 0, 0 = -5*y - 20. Let d = -39 - 61. Let t = a - d. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3559207\/66 + -53926. Find the common denominator of -7\/18 and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1332\/18)\/74*(-1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 3378?\nAnswer: 40536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 399 and 8?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*o - 50*o - 12 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - b**2 + 5*b**2 + (b + b - 4*b)*(0*b + b + 0*b) + (-b**2 - 1 + 1)*(13 + 3 + 5) as t + i*b**2 + x*b and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 954, 896, 800, 666, 494, 284?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 92?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4421 - 4420. Put 3\/5, 0.48, -2\/7, k, -0.1 in descending order.\nAnswer: k, 3\/5, 0.48, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (-6 + (0 - -4) + 9 + -19)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 10. Suppose 4*h - 12 = c*x - 4, -h + 22 = 3*x. Suppose 0 = -8*m + h*m. Which is smaller: -4\/3 or m?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + (-9 - (-3 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 25*h**2 + 10*h**2 - 7*h**3 + 55 + 23*h - 9*h**2 + 8*h**3. Is z(-25) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((18\/(-1))\/1))\/((-1)\/63).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v + 3036. Let d(i) = 46. Let c(w) = -264*d(w) + 4*o(w). Let t(a) = 53*a. Determine c(t(f)).\nAnswer: 1272*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c484 (base 13) to base 12.\nAnswer: -96a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84908.\nAnswer: 2, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5781 - 11.85.\nAnswer: -5792.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/20 + 1027\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69914159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -3*h + 1 + 3\/2*h**2. List the prime factors of z(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Suppose 4*y = -y - o - 65, 26 = -2*y - 5*o. Let w(a) = 2*a - 13. Let z(u) = u - 6. Let d(c) = y*z(c) + 6*w(c). What is s(d(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3813000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -13, 68, 4 in ascending order.\nAnswer: -13, -5, -4, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7068 is divided by 1035.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349 = 62*o - 674 - 543 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/5)*v)\/v*v**(-3\/5)*v*(v\/(v**(-3\/2)\/v))**(-9))**2 assuming v is positive.\nAnswer: v**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p + 3 - 5*p - 4*p. Let r be i(-2). Solve -4*h = -r*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/((-5)\/(-2) - 4). Suppose -3*w + 8 = 5*l - 5, 28 = m*w + 4*l. Is (-33)\/w*614\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -953 - -952. Which is the closest to 2\/7? (a) q (b) -5 (c) -1\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 plus 242583834?\nAnswer: 242583831.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 - 10*u + 2. Let z be l(4). Let o be z\/(-50) - 7217\/(-1235). Let i = o + -72\/13. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtvykrk. What is prob of sequence kt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12*t**2 - 9*t - 1. Let q be v(3). Suppose -q*w + 73*w + 112 = 0. What is the least common multiple of w and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 49*b**6\/24 - b**5\/30 + 375*b**4\/4 - 308*b**2. What is the second derivative of o(a) wrt a?\nAnswer: 1470*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + 29. Suppose -13*r + 6125 = 12*r. What is the greatest common divisor of r and i?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -6. Suppose 354 = 6*d - 3*d. Let z = 1066\/9 - d. Which is the nearest to -1? (a) -4 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 20*v**2 + 22*v - 39. Let w be o(19). Let i be (1\/(-2))\/(17\/136). Let s be i\/(-10)*(-50)\/(-10). Calculate the highest common factor of w and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 54921 and -9464.02191.\nAnswer: 45456.97809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab35 - 69b?\nAnswer: a456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1822598 to 4 decimal places.\nAnswer: -0.1823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 12:20 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydeeeeyeeyedd. Give prob of picking 2 d and 2 y.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**2*z**3 + 2*n**2*z**2 - 25*n**2*z + 5*n*z**3 + 3*z**4 - 2*z wrt z.\nAnswer: -6*n**2 + 30*n + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkkkkkkl. What is prob of sequence ll?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 1416*t + 25523. Determine p(18).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.015, -14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/14*4\/51)\/1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p. Let t be (-3 + -1)*15\/(-20). Factor 0*l**2 + p*l**t + 2\/3*l**5 + 0*l + 0 + 0*l**4.\nAnswer: 2*l**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 6*h + 4*h**2 + 5*h. Suppose -3*f + 20 + 22 = 0. What is the least common multiple of y(-2) and f?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-90)*3)\/((-1)\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 102132 (b) 2\/5 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -83\/3. Which is the third smallest value? (a) n (b) -1 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b7fc (base 16) to base 9\nAnswer: 521174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55 - 689*g**3 - 154*g**3 + 241 wrt g?\nAnswer: -2529*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, -0.1, -0.4 in ascending order.\nAnswer: -7, -0.4, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**6\/120 + 7*b**5\/60 + b**4\/12 - 5*b**3\/3 + 5*b**2 + 12. Let c(a) be the second derivative of y(a). Calculate c(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(1573) + -1).\nAnswer: 5 + 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 933*c**4\/4 + 2273*c**2\/2 - 1012*c. Differentiate w(t) with respect to t.\nAnswer: 5598*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 129?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001115558 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -657580 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -392 + 392. Let y(g) be the first derivative of q*g**2 - 6 + 1\/2*g**4 + g**3 + 0*g. Find the third derivative of y(a) wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -7.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c9a + -1?\nAnswer: -c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 176319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -13 - 5. Find b such that -2\/3*b**g + 2\/3*b - 2\/3*b**2 + 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*i - 39 + 513 = -26 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/273 and 8\/77.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -124 + 156 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*(-18)\/(-6))\/((-4)\/2). What is the third derivative of -4*m**3 - 1 + 3*m**x - 85*m**4 + 571*m**2 - 585*m**2 + m**3 wrt m?\nAnswer: -2040*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/58900 and 27\/9270860.\nAnswer: 46354300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 981.78236 rounded to the nearest ten?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6))**44)**41)**(-3\/2) assuming y is positive.\nAnswer: y**16236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/7 (b) -25 (c) 84024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - z. Let d(a) = -1072*a + 2 - 1058*a + 2120*a. What is -d(f) + 5*y(f)?\nAnswer: -5*f**2 + 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4*(896\/8)\/7. Suppose 10040000 = k*o + 2*m, -13*m + 12550000 = 5*o - 9*m. What is o rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3044342276 and 3208.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788 is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwkwwwzzzwkkq. What is prob of picking 1 q and 1 w?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 1633 - 1423. What is the remainder when 325 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26267190 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1917073 months to centuries.\nAnswer: 0.00182642275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*(-8)\/(-2). Suppose -p + 0*p + y = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 248*x - 6 - 133*x + 1.\nAnswer: -381*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10*a + 3*a + 5 + 11 + 8 - 23. Let s(b) = 6*b - 1. Let v be 1 - (0 + 0) - -4. What is v*s(y) + 4*c(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10)*(-40)\/(-30))\/((-543)\/(-24978)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x. Let c(m) = 50430*m**2 + 607. Determine a(c(f)).\nAnswer: -201720*f**2 - 2428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/7 - 3\/7. Suppose 0 = d*q + 4*l - 210, -4*q + 0*q + 365 = -3*l. What is the remainder when q is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3850 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182.7 + 183. Sort 4, d, 3\/5.\nAnswer: d, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16252181 is divided by 812609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -597, -2378, -5347, -9504, -14849, -21382, -29103?\n\"Answer: -594*o**2 + o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**4 - 2913*q**3 - 25998*q**2 - 23088*q = 0.\nAnswer: -962, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -19934 to the nearest one hundred.\nAnswer: -19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1858224*x**2 - 107819*x - 3 wrt x.\nAnswer: 3716448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -14*f + 11. Let d(a) be the second derivative of -7*a**3\/6 + 3*a**2 + 2*a. Let b(n) = 5*d(n) - 2*o(n). Is b(-8) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -2 - (14 + -11)) + 4. Solve g*l - 15 = 8*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 7:48 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 868*d - 873*d + 2*j + 11, 0 = 69*d - 10*j - 275 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 3*w**2 + 2*w + 1. Let o = -16 - -18. Determine b(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26\/15 + 8\/5. Factor -2\/3*i**5 - 6*i**3 + h*i**4 + 14\/3*i**2 + 0 - 4\/3*i.\nAnswer: -2*i*(i - 2)*(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 129273542?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 - 68022*g + 385582707 = 0. What is g?\nAnswer: 11337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 665 + -114. Let j = l + -551. Solve -15 = -3*d - 5*o, j = 3*d + 2*d + o - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*b - 7537, 19*b - r + 3014 = 21*b. List the prime factors of b.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -436 at most 519.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 50 = 6*o. Let g be ((-16)\/o)\/(6\/15). Put -5, 1\/3, g in ascending order.\nAnswer: -5, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**3\/24 - 23*q**2\/4 - 485*q\/8 - 149. Find a, given that m(a) = 0.\nAnswer: -5, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.87 * -1.05158\nAnswer: -8.2759346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7936667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 68, 73, 78, 83?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z - z)*(-161*z - 135*z + 259*z + (1 - 3 + 3)*(-6*z + z + 3*z)).\nAnswer: 39*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:33 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -2*u**2 + 6*u + 28. Let l be x(-2). Solve 0 = -2*w - 3*k - 2, 0*k = 5*w + 3*k + l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 943720 (base 13) to base 14\nAnswer: 6623bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 755*h + 250*h - 261*h to n*h + s and give n.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2021 + -2015. Let s be 1*(2 - 3)*-12. Suppose 0*o = -2*o + s. Calculate the greatest common factor of o and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76847 or -76846?\nAnswer: -76847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.014108 years in millennia?\nAnswer: 0.007014108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -155, -154?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78.85*-4.\nAnswer: -315.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1797\/7 - -257. Which is the nearest to -3\/2? (a) t (b) -2\/3 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccctccctcttssccv. What is prob of sequence stc?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**9\/252 - m**8\/112 + 13*m**6\/120 - m**5\/60 + 13*m**3 + 2735*m**2. Find the third derivative of n(a) wrt a.\nAnswer: -240*a**3 - 180*a**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j)\/j)**(14\/11)\/(j**(-1\/3))**(-32) assuming j is positive.\nAnswer: j**(-436\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37222, -74441, -111664, -148891, -186122, -223357, -260596?\n\"Answer: -2*r**2 - 37213*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1951*h**4 + 11*h**3 + 2*h**2 + 322 wrt h?\nAnswer: -46824*h + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/46*(-9)\/((-792)\/22).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:17 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2323, 4650, 6977, 9304, 11631?\n\"Answer: 2327*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j*j*j\/(j**(-3)*j))\/(j*j**(3\/7)\/j*j*j\/j**(7\/2)) assuming j is positive.\nAnswer: j**(197\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 26*x**2 + 9*x - 24. Let c = 136 - 161. What is the hundreds digit of i(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r - 31*r = -3*r - 330 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 547 (base 14) to base 13\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 41. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1.5, -5, 0.3, -1, 2\/3, -1332?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 - 8.78. What is m rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.292 less than -5.2?\nAnswer: 5.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = 1. Suppose -2 = -g + r. Suppose g*w = 12 - 4. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0531 minus 169014404898.9?\nAnswer: -169014404898.8469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 28, -3, 4, -158 in increasing order.\nAnswer: -158, -3, 0, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 4, q: 7, h: 1}. What is prob of sequence qx?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1168 - -1167.7. What is the closest to o in -3, -0.5, 2\/9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9\/6 - 2\/((-432)\/(-326)))*-119 and (-4)\/(-14) - 295\/224.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.3. Let r = -3.45 - -3.37. Which is the closest to 0? (a) r (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 7 - (-3 + 3 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98303059 is divided by 3146?\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 9. Let x(c) be the first derivative of -c**2\/2 + 10*c - 88. Determine 3*r(y) + 2*x(y).\nAnswer: y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14576 (base 9) to base 2\nAnswer: -10011011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24634 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 285346 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + (3 - (10 + 12) - 4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v - 32. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9281 * -4.\nAnswer: -37124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 5*r**2 + 4*r + 2. What is w(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - t + 14. Let u be j(0). Let w(k) = 3*k**2 - 7*k + 2. Let b be w(-5). What is the highest common factor of b and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyyo when four letters picked without replacement from {o: 2, y: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 6*m - 15*m. Suppose 5*p = -m*n + 558, 3*p + 214 = n + 14. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6181771, -24727117, -55636035, -98908531, -154544611, -222544281, -302907547, -395634415?\n\"Answer: -a**3 - 6181780*a**2 + a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 2. Let m be n(-3). Let s be (-24)\/8 + 19\/m. Which is bigger: s or -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -695180053 take away 0.114?\nAnswer: -695180053.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -h + 5*h. Suppose -h*u = -u. Let w(t) = 2 + t + u*t + 1. Calculate w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-6)\/(-11) - 616\/242) + 146 and 216?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105138289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 8, 13, 18, 23, 28?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -b + 3*u + 13, b + u = 8. What is the least common multiple of b and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/12 + 2*u**3\/3 - 7*u**2\/2 + 2*u. Suppose 6 - 57 = 14*m + 19. Determine b(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.6 - -0.6. Let g(l) = l - 5. Let p be g(4). Let j = 1\/3853 - 7709\/11559. Which is the nearest to p? (a) j (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/7, 4\/7, -1\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2450 = 7*i. What is i rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*d = -42, 6 = v - 4*d + 20. Calculate the remainder when 3 - 117\/(-2) - v\/(-28) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 40*f - 485. Calculate n(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 71, 97, 145, 221, 331?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3767 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: Sort 196, 194, -1, 0, -11, -5.\nAnswer: -11, -5, -1, 0, 194, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/5 - 8\/2. Let t(a) be the third derivative of 0*a**3 + y*a + 0*a**4 - 1\/20*a**5 + 0 + 2*a**2. Let v(o) = 2*o. Give v(t(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b + 15 = 0. Let n(c) = -85*c - 3906. Calculate the least common multiple of b + 2 + (-8)\/(-1) and n(-46).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -6. Suppose 0 = -i*d - d + 27. Let s be 6\/d - (-1 + 1). Which is the closest to -2\/7? (a) 1 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19102083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 12*w**2 - 21*w - 7. Suppose 2*o - 38 = -4. What is the remainder when b(6) is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*v = -394, -2*r + v = 2*r + 823. Let y be (-1)\/7 + (3 - r\/(-21)). Let w(z) = -5*z - 53. Let s be w(y). Is s >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 28*j - 12 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 9*a + 5. Let j be b(-10). Let r = j - -10. Let t be (-2)\/(-9) - (-308)\/(-2277). Sort 2\/9, t, r in ascending order.\nAnswer: t, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 14946777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21087 is divided by 1171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57517486, 115034970, 172552454, 230069938, 287587422?\nAnswer: 345104906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/43 in 0.4, -6, -1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306306.\nAnswer: 2, 3, 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3.1. Let c be 3\/14*202146\/(-36). Let k = c + 1203. What is the closest to b in k, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 170.4 and 10.58072077.\nAnswer: 180.98072077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-126)*5850\/26?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017709 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4643529646 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.93 - 0.07. Which is the fourth biggest value? (a) 4 (b) -1\/2 (c) 1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3112*y**3 - 4047*y wrt y?\nAnswer: -18672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00889294158 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731\/728 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*u + 10 + 48 = 0, 4*v = -u - 52. Let b(a) = a**3 + 3*a**2 - 4. Let p be b(-3). Sort -3, p, v in descending order.\nAnswer: -3, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 11. Let m be q(-8). Suppose -2*w - 21 = -5*z - 1, 7 = -4*z - m*w. Calculate the smallest common multiple of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 1. Let o(v) = -2*v. Calculate f(o(m)).\nAnswer: -8*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/89504672 and 49\/11223?\nAnswer: 805542048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0218 * -75.3\nAnswer: 1.64154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300963 is divided by 100318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*b**2 + 176*b**2 + 14*b**3 - 69*b**2 - 58*b**2.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 6:57 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.412 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 7 = 89. Let o be 4\/(80\/n) - (-1914)\/(-15). What is o rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*b**3*u**2*v + 13*b**3 + 2*b*v - 2*u**2 - u*v with respect to u.\nAnswer: 14*b**3*u*v - 4*u - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 4. Suppose -j - p*j = -100. What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -63 + 2*(-3)\/6. Let x = 150 + l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (8 - 9) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4465867942?\nAnswer: 2, 43, 51928697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d**(-2\/5)*(d*d*d\/((d\/(d\/d**(-1\/3)))\/d))**(-13\/4))\/((d**(4\/7)*d*d**(2\/5))\/(d*d\/d**(-1\/4))**(-50)) assuming d is positive.\nAnswer: d**(-53321\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 29 + 1451*h**4 - 1448*h**4 - h + 0*h**3 in the form c*h**2 + o*h**3 + z + y*h**4 + s*h and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2080674864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 8*d**2 + d + 4. Let w be o(8). Calculate the greatest common divisor of 84 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -446437 + 2.4017731.\nAnswer: -446434.5982269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**5 - 2 + 70*p**3 + 7*p**4 - 111*p**3 + 37*p**3 + 21*p - 17*p**2 wrt p?\nAnswer: -120*p**2 + 168*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 917 (b) 0.4 (c) 129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 greater than or equal to 1605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {z: 11, o: 9}.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -96.765223223.\nAnswer: 97.765223223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 468\/639185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:16 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-81) - (-38)\/9. Suppose y*l - 12 - 4 = 0. Let b(j) = j**3 - 5*j**2 + 5*j - 3. Give b(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -12. Suppose -45 = -u + w. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -13*u + 493. Determine p(11).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/9 (b) 11899 (c) 2 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(216))\/((sqrt(432) + 3*sqrt(432) + sqrt(432))*6 - sqrt(432)))**2.\nAnswer: 7\/4359744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18525 and 765700?\nAnswer: 2297100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 + 74. Let t(l) be the first derivative of l**4\/4 + l - 44. Let y(x) = -9*x**3 - x - 8. What is w*y(d) - 6*t(d)?\nAnswer: 3*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/120 - 3*z**5\/20 - 7*z**4\/24 - z**3 + 21*z**2 + 6*z. Give w(-6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29101, -58213, -87325, -116437, -145549, -174661?\nAnswer: -203773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2. Let q(b) = -11*b + 2*b - 18 + 7 + 12. What is m(q(u))?\nAnswer: -81*u**2 + 18*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922*f + 1240 - 7251 - 7378 = 9661 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 184\/(-2024)*12\/(-2)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3554 + 1135 + 809 + 804 - 12*v + 806.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10454 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2232 and 6192.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 11. Let j be 1 + (52\/(-16) - f). Suppose 4*i + 15 = -4*s + 39, 2*s = i + 6. What is the closest to -0.2 in j, -0.3, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 39\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -2\/21, 5, -261\/7 in descending order.\nAnswer: 5, 3, -2\/21, -5, -261\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1445897 - 574600. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74039860, 148079722, 222119584?\nAnswer: 296159446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**5\/20 - 5*m**4\/6 + 2*m**3 + 8*m**2 - 2*m. Let p be q(-11). Let n(s) = -s + 8. Calculate n(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3130 - 3?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212541\/4 - -53136. Let v be 2\/(-3) - (-20)\/36. Which is the third smallest value? (a) v (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6659, 0.3 in increasing order.\nAnswer: -6659, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 659364, 659354, 659344, 659334?\nAnswer: 659324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1 + v + 12 + 10 + 5. What is i(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -5. Let g(d) be the first derivative of -1\/2*d**2 - 12 - 2\/3*d**3 + d. Give g(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -2a137?\nAnswer: -2a141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7196 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/360 + (-10)\/(-45)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*h - 377*h + 31*h - 6748 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2216.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123134?\nAnswer: 2, 11, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.4 + 93842?\nAnswer: 93803.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -85 (b) 4\/5 (c) -1.4764\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.3518 to two decimal places.\nAnswer: 5.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -14*x**3 - 3*x**2 - 4*x - 3. List the prime factors of l(-2).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 24*n + 3 = 0. What is the tens digit of -2 - ((-321)\/3 - n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*n - 5 = -9, 3*n = 5*k - 37. Calculate the least common multiple of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(44)\/sqrt(2))\/(sqrt(4)\/sqrt(2)*3) - ((5 + 3*(0 + sqrt(11)))*-1 + 0).\nAnswer: 5 + 11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 7266441?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1365566*j**3*o**3 + 6335*j*o**3 + 43*j*o wrt j?\nAnswer: -8193396*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 8:57 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -35.6. Let k = -0.76 - 0.14. Let d = k - t. Which is the second smallest value? (a) -4 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**9\/1512 + n**6\/30 - 13*n**3\/6 + n**2. Let c(l) be the first derivative of p(l). Find the third derivative of c(v) wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-8) + 5 + -9. What is the closest to 0 in b, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1316961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014\/424*1*12?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + sqrt(272) - sqrt(272)))**2 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 6*w - 5. Let u be h(-5). Suppose 9*v - 23 - 76 = u. Calculate the highest common divisor of v and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61591, -61635, -61699, -61777, -61863, -61951, -62035, -62109?\nAnswer: -62167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c + 23*c = 25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330, -581, -810, -1005, -1154, -1245?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.374381 + 0.164855. Let b = p - 9.789894. Let r = 10 + b. Round r to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 + 32*y**2 + 64*y - 4. Let h(p) = -10*p**3 + 96*p**2 + 192*p - 11. Let g(b) = 11*a(b) - 4*h(b). Factor g(u).\nAnswer: -4*u*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194964061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 8*b**2 - 9*b + 14. Let q be s(7). Suppose -2*r = 2*c - c - 899, -r - 4 = q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -17 + 7 + 4 + (-165)\/(-20) + -2. Which is the biggest value? (a) 1\/2 (b) -0.05 (c) -2\/19 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*r - 402*r + 201*r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**2. Let a(d) = d**3 + 4*d**2 + 3*d. Let c be a(-2). Let y = -3 + 6. Let k(m) = -m**2 + m**2 + m**2 - y*m**c. What is v(k(o))?\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 154793621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1150456161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/4560 and -53\/1416336.\nAnswer: 7081680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -2\/23 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.4, 1\/5, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrgrrmrmrrgrgrrrrr. Give prob of picking 2 g and 1 m.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {s: 1, i: 6, t: 2, d: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 8*y + 26*y - 28*y + 12*y as r*y + o and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/31875 and 13\/34.\nAnswer: 63750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366944 is divided by 66.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 3, l: 1, k: 5}. Give prob of picking 1 x and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.5 (b) 1\/3 (c) 1\/127 (d) -0.5 (e) -2\/15 (f) -10 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 + 24. Does 12 divide n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 + -128. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*w + 2. Let j(q) = 9*q - 3. Let a be j(w). Let k be a\/(-33) - (-39)\/33. Solve -2*y + y = -k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10*g**2 + g. Let q be h(1). List the prime factors of (12\/q)\/(6\/(-207)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -853 + 783. Let l be (-30)\/50 - (-7)\/(r\/4). Is l less than 17\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -276 or -277?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17829 and 990500.\nAnswer: 8914500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56\/6 - (1\/3 - 1). Suppose 14*u - z*u = 3*j - 333, u = 0. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 42*n + 8*n - 175 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6069982 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. What is the third derivative of x**2 - 2*x**3 + f - 1 + 3*x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3211 - -4?\nAnswer: -3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 6*c - 12. Suppose -2*y - 22 = -2*k, -3*k + y + 37 = -3*y. Let b be h(k). What is the tens digit of (-5)\/b*(111 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from pddpddppppdddpppdppd.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*u - 7. Let n(v) = 24*v**2 - 5*v + 27*v**u - 58*v**2 + v**3. Let t(d) = -d**3 + 6*d**2 + 4*d. What is 4*n(w) + 5*t(w)?\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:31 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*v**2 + 8*v - 8\/3 = 0. Calculate v.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = h - 4, -7*t - 3*h - 20 = -9*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*x**3 + 0 + 0*x**2 + 1\/6*x**4 + 1\/6*x**5 + 0*x.\nAnswer: x**3*(x - 1)*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2\/3 - 8032*m\/3 + 555424\/3 = 0.\nAnswer: -4084, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1*130\/15)\/((-10)\/(-15))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 13. Which is bigger: -6 or l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69758 and 77807?\nAnswer: 2022982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 83, 136, 183, 224?\n\"Answer: -3*q**2 + 62*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 3*h - 2. Let u = 20 - 17. Suppose -u*v = v - 28. Let z(l) = 5*l**2 + 7*l - 5. What is v*k(c) - 3*z(c)?\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181\/10 - 154217\/8520. What is the common denominator of -97\/40 and j?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)\/(3 + 48\/(-15)). What is the tens digit of (-34 + o - -3)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*h + 3*i + 1, 0 = -h + 3*i. What is the closest to 1 in h, 0, -6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3916211.\nAnswer: 13, 301247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 1. Let i(g) = 3*g + 2. Let x be 6\/(-8)*(-32)\/(-24)*-3. Give x*i(q) + 5*w(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -7, -3, 5?\n\"Answer: 2*c**2 - 6*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15*g - 1. Let x be j(-2). Calculate the common denominator of (-3 - x\/(-8))*11 and -17\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143 - -142.8. Let p = -58 + 115\/2. What is the second smallest value in p, 4\/9, 3\/8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -5, -1, -23651, 11 in descending order.\nAnswer: 11, 4, -1, -5, -6, -23651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*u - 306, 2*f - 882 = 12*u - f. Which is bigger: u or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8699, 6 in decreasing order.\nAnswer: 6, -3, -8699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011111011011000010 - 0?\nAnswer: -100011011111011011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiitiii. What is prob of picking 1 t and 1 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/120 - y**4\/24 + 12*y**3 + y**2. Let m be k(0). Suppose 0 = -v + r + 33 - 5, -3*v - r + m = 0. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46081745 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 0, 8 - 1 = b + y. Suppose -4*r = -v - 7, b = v + 3*r - 0. Sort v, 3, 41 in ascending order.\nAnswer: v, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 599.\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**5\/5 - b**4 + 17*b. Find the third derivative of y(v) wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.376135 times 3\nAnswer: -1.128405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 - 164. Sort t, 3, -1.\nAnswer: t, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s + 18*s - 11*s + 2)*(-632*s + 323 - 323) to g*s**2 + c + a*s and give g.\nAnswer: -1264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 - 127. Let m = l + 20. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244763?\nAnswer: 157, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -45.5. What is the nearest to -0.1 in -4, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/60*-3)\/(3\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -277*t**2 + 188*t. Let u(f) = f**2 - 26*f. Let k(i) = -3*s(i) - 15*u(i). What is the second derivative of k(b) wrt b?\nAnswer: 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -70. Suppose -7*l + 19*l - 36 = v. Solve n - n**l - 1\/2*n**4 + 1\/2 + 0*n**2 = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0*t**2 + 0*t**2)*(-2 + 2 - 5*t**2 + (-t + 4 - 4)*(2*t - t + 0*t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 55734.60247 to the nearest 1000.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151*i - 165*i + 14*i - 4236 + 3993*i**4 with respect to i.\nAnswer: 15972*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550053 (base 6) to base 13\nAnswer: 1787a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -102d - -68?\nAnswer: -eb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (25 + -22 - -17 - -10) + (0 - -4)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 121*r**2 - 20*r - 9. What is the thousands digit of n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 11. Factor 4*d**3 + 0*d**4 + 3*d**4 + 0*d**4 + 4*d**l - 2*d**4.\nAnswer: d**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -17a?\nAnswer: -17f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31348 + -60437266.3.\nAnswer: -60468614.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -3*u + 422. Suppose -p - u = -15*p. Let s = 23 + p. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(165)\/(sqrt(10)\/sqrt(2)))\/((-4*sqrt(110))\/sqrt(10)) + -1).\nAnswer: -15 - 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2689694398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 5) in base 16?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.1 (b) -7 (c) 0.046 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**4 + 6*a**2 - 2. Let n(r) = -10*r**4 + 11*r**2 - 5. Let f(v) = -5*b(v) + 2*n(v). What is the third derivative of f(d) wrt d?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6))**(-6) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 557*w**2 - 1. Let c be s(-1). Let d = 286 - c. What is d rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1.715290394955?\nAnswer: 3.284709605045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, and 2 y when four letters picked without replacement from xyysyxtxyxy.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/36 and 18\/16*(5 + -7)*-5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27b9 (base 15) to base 13.\nAnswer: -3b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2551*r. Let g(c) = -6*c. Determine m(g(j)).\nAnswer: 15306*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 - 5*v**3 + 4*v**3)*(-220*v + 0*v - 68*v) - 3*v**4 - 5*v**4 + 6*v**4 - 1 + 2*v**4 + 1.\nAnswer: -1152*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-5))\/(((-204)\/18)\/17)*(-80)\/(-24). Let l = 6 - -2. Solve -o*s = -16, -3*s + l = 4*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 2*i + 2*i)*(-5*i + 2*i + i) + 63*i**2 - 1 - 140*i**2 + 70*i**2 to the form f*i + t + j*i**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -3*i**2 + 10*i - 162. Give y(9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14648 - 6459. List the prime factors of f.\nAnswer: 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2)*(4 + -11). Let o(v) = v**2 + 7*v - 7. What is o(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21600\/30600)\/(1\/85*2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 16 = -2*g, 3*c - 12 = -3*g. Suppose 0 = 2*i - 8 - c. Suppose i*p - 10 = 34. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*r - 217*r - 216*r.\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 21886, -4, 1\/5, -0.4?\nAnswer: 21886","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = d, -5*q + 2*d - 14 = -18 - 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 150. Give b(-35).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 44000*n. Let f be i(-6). What is f rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4884 and 308121?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p + 3*p - 5*p)*(-616*p - 745*p + 282*p) to z*p + r*p**2 + n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x. Let z(j) = 14560*j - 280. Let s(d) = 2080*d - 42. Let c(h) = -20*s(h) + 3*z(h). What is w(c(b))?\nAnswer: 6240*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/(2\/(-12)). Let z(f) = -4 + 3 + u. Let m(w) = w + 2. Let t be 2\/(-4)*(20 - 10 - 4). Give t*m(r) + 2*z(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 867714 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/14466 - 59873\/2411. What is the common denominator of 107\/26 and z?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxj when three letters picked without replacement from {j: 2, s: 1, x: 8, e: 2}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*y + 3*y. What is the common denominator of 40\/9 and (-2)\/y + 8359\/429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (-34 + 15 + 13)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - l)*(-1 - l**3 + 1).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460124?\nAnswer: 2, 3, 40559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k - 39. Suppose 3*l + u = -50, -3*l + u - 20 = -4*u. Let v be w(l). Let y = 15 + v. Solve 2*r - y - 4 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.11 - 2.81. Suppose 5*h - 3 = 4*h. Let g = 25 + -18. Which is the biggest value? (a) h (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.001 + -0.285. Let w = p + 0.284885. What is w rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 14*d**3 - 3*d**2. Let b(z) = 28*z**3 - 5*z**2 - z. Give 3*b(t) - 5*c(t).\nAnswer: 14*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 39. Suppose -11 = b - f. Suppose 0 = 6*u - 9*u - 3*m + 12, 3*u - b = -m. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 7\/2 (c) -1\/6 (d) -0.4 (e) 0 (f) -175\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + (-460)\/(-8) + -3. Let j = w - 379\/7. Let m = 4 - 0. What is the nearest to 0.2 in -1\/5, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3\/2*z**2 - 11\/2 - 17*z = 0.\nAnswer: -11, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjluyjffyfyjj. What is prob of picking 1 l, 1 y, 1 u, and 1 f?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 19 - 144. Let j = s + 38. What is the derivative of o**3 - 3 + j*o**2 - 13*o**2 wrt o?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*v - 2*u, v + v + 3*u - 1 = 0. Suppose v - 22 = -5*s. Is 12\/s + 2964\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + p = 29*g - 90, g - 5*p = -2*g - 2*p - 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.065 and 761.\nAnswer: 760.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -3, 466, -1\/4, 3\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 346459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 + 59 + (-25 - -16) + 17)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)*k)\/((((k*k*k**7)\/k*k)\/k)\/k)*k**(-4)*k*k*k**(-2)*((k\/(k*k\/(k*k*(k\/(k*k**(-2\/5)\/k*k))\/k)*k))**(-16))**(-33\/5) assuming k is positive.\nAnswer: k**(-1839\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/12 and -57\/210955834.\nAnswer: 1265735004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -12. Suppose j - 17*w = -12*w - 2, -4*j + w + 11 = 0. What is the nearest to 1\/12 in v, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f. Let b(g) = -g**3 - 9*g**2 - 6*g + 27. Let a be b(-8). Let l(p) = -3*p - a*p + 7*p. Give r(l(w)).\nAnswer: 84*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2835 and 10092915?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.602 + -13.902. Let p = 28 - 41. Sort 0.5, p, -3, x in decreasing order.\nAnswer: 0.5, x, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -929, -0.1, -4 in increasing order.\nAnswer: -929, -4, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 2. Let x be k(-9). Let z(t) = -t**2 - 7*t - 3. Determine z(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4830040069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 - 6.7. Let w = o - -9.8. Let h = -3.8 + w. What is the biggest value in 0.1, -5, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 1. Let v be (-1 - 1)*(9 + y). Let k = -3 - v. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, 5, -1, 0, 0.3, -171 in ascending order.\nAnswer: -171, -1, 0, 0.3, 5, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8995, 8994, 8993, 8992?\n\"Answer: -q + 8996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**5 + 4*w**5 - 3*w**5)*(-449 - 108 - 28).\nAnswer: -1755*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -40, 0.1, -1\/10, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 6*h**2 + 2. Let l be f(6). Suppose l*b = -3*b + 10. What is the remainder when 15 is divided by -1 - b - 24\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403503.\nAnswer: 3, 19, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/1)\/(4 - 7). Let k(s) be the first derivative of s**3\/3 + 4*s + 1. Calculate k(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 3594*t**2 + 126468*t - 1129464.\nAnswer: 3*(t - 1162)*(t - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*g = 287*g + 286*g + 5*a + 5, -36*g + 605 = 6*g - 5*a for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5680 to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ticitioioii. Give prob of picking 1 o and 1 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*q**2 - 13*q**2 + 25*q**2)*(5 - 5 - 3).\nAnswer: 201*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -93, 2, -2, 4, 5, 323 in descending order.\nAnswer: 323, 5, 4, 2, -2, -3, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6171 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.042 in 3\/2, 0.2, -0.08, -0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**5\/15 + 14954*b**4 + 336488*b**3\/5 + 673024*b**2\/15 - 747744*b\/5 - 897312\/5 = 0.\nAnswer: -2, 3\/2, 56082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 8\/4 + -2. Let r = -0.1 + 0.2. Let s = -0.5 - -0.1. Which is the nearest to r? (a) m (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 8 = -2*x. Suppose 0 = -3*z + x*z - 2*v + 5, 5*v - 23 = -z. Factor -21*a**2 - 21*a**3 - z*a - 12*a**3 + 9*a + 6*a**3.\nAnswer: -3*a*(a + 1)*(9*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = -3*n + 242, n + 16 = 4*r. Solve -k + r*v + 17 = -4*k, 2*k = 5*v + 22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16883*f**2*t - 3*f*t + f + 943*t wrt f?\nAnswer: 33766*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((4*1)\/(48\/24))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.432817 - -0.433. Round w to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3 + 69914*x**2 - 349620*x = 0. Calculate x.\nAnswer: -34962, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4) - 118\/120*1. Is y greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 6:56 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 256356212.\nAnswer: 256356213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22939453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11452 - -11450. What is the fourth biggest value in -2\/141, b, 0.2, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105936873 and 2254.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90088 is divided by 48?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - 4. Suppose f + 2*z + 61 = 0, 2*z - 33 = f - 3*z. Let l = f - s. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - 111\/(-6). Suppose 0*w - 3*w = -k. Let m be (-5 + w)\/(2\/(-6)). Which is the second biggest value? (a) m (b) -2\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -137003*r + 136999*r + 9 - 3. Let j(f) = 3*f - 2. Let x be j(2). What is m(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 21. Let x(p) = p**3 - 2*p + 1. Let v be x(1). Suppose v = 2*m + 2*m - y. Put m, -2, 1 in increasing order.\nAnswer: -2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x. Let m(u) be the third derivative of 0 + 5*u**2 + 0*u + 5\/8*u**4 + 0*u**3. Calculate -6*m(r) + 13*z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*15\/12*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 564\/(-8))\/((-4 + 3)\/(-2)). What is the closest to p in -1\/34, -2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6655 or -6651?\nAnswer: -6655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1206 + 1332.8. What is w rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vip when three letters picked without replacement from iiipixvpxppv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/4)\/s**(2\/5)*s\/s**13*s**3 assuming s is positive.\nAnswer: s**(-163\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 14*s**2 + 12*s - 53. Let b(x) = -2*x**2 - x - 1. Let t(q) = -4*b(q) - m(q). What is the first derivative of t(i) wrt i?\nAnswer: -12*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + -119c558?\nAnswer: -119c56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 1176\/5 + 6\/5*q**2 + 168\/5*q = 0. Calculate q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4043670186 rounded to two decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-3 - 11 + 1)*(2*o + 0 + 0)*(-3*o**4 + o**4 + 4*o**4).\nAnswer: 52*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27\/278 - 9458\/2085. Let i = 9147\/8 - 1143679\/1000. What is the common denominator of r and i?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 180643 = 6*m + 516589, 0 = -3*m + 9. What is z rounded to the nearest 1000?\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.569703 + 1.5385. Round l to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, i: 1, m: 7}. Give prob of sequence mmgi.\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 - 2*r**2 - 2*r\/3 + 8.\nAnswer: (r - 12)*(r - 2)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 4248?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7 = 3. Let w(z) = -z**2 - n*z**2 + z**2. Let k(t) = 6 - 6 + t**2. What is w(k(m))?\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (1 - -1)\/(-2)*129. What is the greatest common divisor of 315 and k?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 9*g - 2. Let r be h(8). Let p = -5 - r. Determine b, given that -1\/5*b**p + 0 + 0*b + 0*b**2 + 1\/5*b**4 + 0*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2344, -0.5 in increasing order.\nAnswer: -2344, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 2*n - 1. Let m be h(-1). Let f(j) = 8*j**m - j**2 - 6*j**2 - 5*j + 2. What are the prime factors of f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348100289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1847*n**2 + 54*n + 12. Let i(b) = 369*b**2 + 10*b + 2. Determine -11*i(f) + 2*t(f).\nAnswer: -365*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 234.3 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3845.167 - 3825.1670024. Let x = -20 + k. Round x to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/360 + 4*d**3\/3 + 12*d**2. Let u(z) be the first derivative of g(z). Let o(q) = -8*q**2. Give u(o(j)).\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 2, 4, -15 in ascending order.\nAnswer: -15, 2, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 4 + 247*r - 27 - 2*r**3 + 61.\nAnswer: -2*r**3 + 247*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v = 21*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 - -1)) + (-16)\/((-672)\/70).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and -2.97048.\nAnswer: -136.64208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - 8.2. Let s = 3.9 + p. What is the nearest to 2\/7 in 1\/3, s, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2943657111.\nAnswer: 3, 31, 89, 355643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -10, -1\/5, -0.1, -20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22102201222211 (base 3) to base 7\nAnswer: 53046565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4668, -9175, -13682, -18189, -22696, -27203?\n\"Answer: -4507*g - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-30) + 1\/5. Let a be 11 + -15 - (-36 + -1). Let x = -26 + a. Solve -w*m - 1 = -x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2365 + (-8 - -16) - 8)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 2:20 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*z - 15213 = -63*z - 23*z for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 - -431\/4. Which is the second smallest value? (a) n (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*k + 7 + 149, 2*t = k + 58. What is the least common multiple of 21 and t?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mce when three letters picked without replacement from imkiiiciimmcmiiiie?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49711 or -49715?\nAnswer: -49711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(11)*-2*4) + (sqrt(11) - (-1 + sqrt(704))) - (2*sqrt(880))\/sqrt(5))*1.\nAnswer: -6*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/13 (b) 2\/95 (c) -52 (d) -54\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000433172444 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 9) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 38*r**2 - 635 + 635. Let h(b) = -2*b. What is a(h(y))?\nAnswer: 152*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2))\/a)\/(a*a**25)*(a\/(a\/a**5))**(1\/15) assuming a is positive.\nAnswer: a**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 - 4*g + 5. Suppose 7 + 9 = 4*y. Is n(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1420)\/32)\/((-11745)\/18792).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.163 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15069739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a = -13*a + 432 + 396 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = s + 182. What is the common denominator of 31\/99 and ((-1064)\/144 - -5)\/(s\/4)?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 67 + 19 = -24*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 14) in base 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 13\/(-6))\/(39*16\/288 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*k + 2*j, 0*k + 5*j - 22 = -3*k. Solve -n - 3*n - k = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i**2 - 196*i - 64 = 0 for i.\nAnswer: -16, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89175.\nAnswer: 3, 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -344170, -688324, -1032464, -1376584, -1720678?\n\"Answer: g**3 + g**2 - 344164*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 55*d**3 - 20*d + 7*d**3 + 44*d**3 - 17*d.\nAnswer: -d**3 - 37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 10. Suppose 2*n + 59996 = 2*r, -t*r - 2*n + 30004 = -r. Let k be r*(-4 - (3 - 467)). What is k rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8 = -2. Let f be (1 - 1)\/(8 + -5). Solve -g = -v - f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309166?\nAnswer: 2, 11, 13, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 39*z**2 - 24*z + 18. Let h(q) = 3*q + 4*q - 4*q**2 - 7*q**2 - 5 + 0*q**2. Let t be 16\/12*6 + -3. Let m(s) = t*c(s) + 18*h(s). Factor m(b).\nAnswer: -3*b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-884)\/(-9724) + -10*2\/(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 8*h - 511 = 0. Suppose -b = -2*l - 116 - h, -3*b + 527 = 4*l. What are the prime factors of b?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*u - 120 = 53*u - 4*i, 0 = 5*u - 3*i - 142. Calculate the remainder when 511 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/10)\/((-9336)\/5835).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(121))\/sqrt(11) - (sqrt(11) + (-2*sqrt(99))\/sqrt(9)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25958*y + 29 + 4 - 18.\nAnswer: -25958*y + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -440615?\nAnswer: 3\/440615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -8*t - 5*y - 353, 2*t - 1249 = -28*y - 1257 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 566\/(-566) - 162\/(-20) - 2\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*o + 117*o**3 - 58*o**3 - 25*o - 2*o**2 - 82*o**3 wrt o.\nAnswer: -138*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - u**2 + 3*u + 3. Let y be v(0). Suppose 0 = 2*f + 5*b - 97, 0 = 2*f - 2*b + y*b - 77. Is ((-7893)\/f)\/(1\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3*(-2 - -4). Let w = 1915 + -1111. Let m = -795 + w. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 286, -0.4 in descending order.\nAnswer: 286, 11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -535*u. Let s(z) = -z**2 + 1463*z. Calculate m(s(h)).\nAnswer: 535*h**2 - 782705*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -116 + 9*u - 7*u - 199 in the form h*u + n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -28597 greater than or equal to -28598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/20 + 1 + (-6)\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a = 4. Let v(l) = -l**2 - l + 2. Let x(g) = 2 + g - 2*g**2 - 2*g + g**2. Let o(m) = 6*v(m) - 5*x(m). Let p(s) = s**2. Give a*o(k) + 3*p(k).\nAnswer: 2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26459459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2422 + 2594. Calculate the remainder when z is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 24194*k**2 - 12093*k**2 - 12105*k**2 + 0.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-24) - ((-2331)\/(-700) + -3).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r + 5*p = 387, -4*p = 0. Let k = -114 - r. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b + 81. Let q be (-6)\/(-21) - 48\/b. Put -2, -6, -4, q in ascending order.\nAnswer: -6, -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.04 + -3.02. Let n = x + -0.02. Let d = 7 + n. Which is the third smallest value? (a) d (b) -1\/2 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-357)*-3*(-36)\/(-324)*9.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 923 divide 884647504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r**2 + 2*r - 8. Let v(o) = -10*o**2 + 2*o - 7. What is -12*b(d) + 11*v(d)?\nAnswer: -2*d**2 - 2*d + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*c**2 + 131*c**2 - 271*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 5*y + 48, 5*j + 1432*y - 80 = 1437*y for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1292 and 117249.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**5 - 9*h**4 - 9*h**3 - 7*h**2 - 6*h. Let b(o) = 4*o**5 - 8*o**4 - 8*o**3 - 6*o**2 - 5*o. Let p(u) = 6*b(u) - 5*w(u). Let p(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4)*(-43*s - 4 - 2*s**2 - 2*s**5 + 43*s).\nAnswer: -2*s**5 - 2*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 - 30*o + 6. Suppose -5*f = -161 - 59. What is the lowest common multiple of f and b(-6)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 17*b**2 - 599*b - 423. Let t(p) = 35*p**2 - 1197*p - 849. Let r(w) = 11*c(w) - 5*t(w). Determine q, given that r(q) = 0.\nAnswer: -2\/3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 2*z + 373. Let r = -163 - z. Let m be r\/24 + (-2)\/8. Solve k = -4*t - 3, -k - 2 = -4*t - m*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/20 + 151*o**3\/10 - 447*o**2\/5 - 26*o + 21. What is b in h(b) = 0?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y - 3. Let m = -1759 + 1763. Let f(a) = -6*a - 4. Calculate m*f(k) - 5*o(k).\nAnswer: 11*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 3. Let j be -1 - ((1 - -1) + u). Suppose 0*g = -3*g - 5*p + 124, -4*g + 5*p + 107 = j. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3840 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4855 and 8215631?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9674 - -8861. What are the prime factors of x?\nAnswer: 5, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-2*n + 0*n + 0*n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-438)\/(-4)*(7 + 232\/(-24)). Let d = l + 294. Solve 2*m - 4*w = 8, -m - 4 = -0*m + d*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(4\/32). Let h(f) = -5*f + 0*f + 7 - d*f - 2*f. Calculate the remainder when h(-6) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/12)\/((-1)\/6). Find the common denominator of 27\/4 and -85*d\/12 - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 4. Suppose -n + 106 = y, -n - 498 = -5*y + 2*n. What is the remainder when ((-4)\/(-12))\/(2\/y) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25c0 (base 13) to base 7\nAnswer: -21505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*r - 148431 + 147951 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 45, 47, 49, 51, 53?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 12. Let x be -1*(-2)\/(g\/(-2)). Let m(h) = 5*h - 3. Let n(k) = -6*k + 4. Let p(t) = 5*m(t) + 4*n(t). Calculate p(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.216913216 rounded to four decimal places?\nAnswer: 0.2169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1249, 1275, 1301, 1327?\n\"Answer: 26*f + 1223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*w. Let f(m) = 4*m**2 - 9*m + 9. Let t(x) = -x**2 + 2*x - 2. Give w*f(u) + 9*t(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017170207 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*b**3 + 240*b**3 + 216*b**3 - 2*b - 14*b**3.\nAnswer: 337*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + 3*l)*(0*l - 4*l + l) + 5*l**2 - 6*l**2 + 2*l**2 - 2*l**2 + 2*l**2 + 2*l**2 + (-2*l - 3*l + 3*l)*(-6*l + 2*l + 8*l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 20. Let l(v) be the first derivative of -27*v**2 + 10 + 32*v**f + 0. Let p(y) = 2*y. Determine p(l(n)).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*d + 2 + 19 = 0, -3*d = k - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*c**3 - 48076*c + 4 + 25*c**3 - 1 - 1 + 48080*c.\nAnswer: -46*c**3 + 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 16 = 10. Sort o, 3, 18\/11.\nAnswer: o, 18\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-6)*(-1304)\/12. Let y = 176 + t. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:22 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h - 5*h + 3*h)*(2 + 1 - 2)*(-2*h - 2*h + 0*h)*(2 - 2 - h**2) as y + l*h**4 + a*h + t*h**3 + c*h**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-2) - 8) + (7 - -3). Solve -3*f - o*i = 8, -4*i + 7 = 5*f + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7905793695.\nAnswer: 3, 5, 19, 227, 122201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and -1730379.\nAnswer: -100361982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(0*b + 3*b - b)*(-1 - 4 + 6) as o + v*b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, g: 1, q: 1, a: 2, e: 2}. Give prob of sequence go.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 25*i**4 - 20*i**2 + 4*i + 4. Let c(j) = -25*j**4 + 19*j**2 - 5*j - 5. Let b(t) = 4*c(t) + 5*m(t). Find the third derivative of b(l) wrt l.\nAnswer: 600*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 200 = 5*n - 5*a, 86 = 3*n - 5*a. What is the least common multiple of n and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a millennium in months?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12186839*s**4 + s**2 - 7911646*s wrt s.\nAnswer: -292484136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 258 = 4*s + 4*v, -5*v = -3*s + 202. Calculate the lowest common multiple of s and 68.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37377880, -74755762, -112133644?\nAnswer: -149511526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**4 - 1769*k**3 - 86*k + 19?\nAnswer: -108*k**2 - 10614*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.329866 microseconds to milliseconds.\nAnswer: 0.000329866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4459.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 53, 56, 61, 68, 77, 88?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 3*g**3 + 3*g**2)*(17*g - 19 + 9 + 12).\nAnswer: -51*g**4 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 7*f)*(78*f - 140 + 140).\nAnswer: 468*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 513 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 263 + 267 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 8:06 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 261*b**2 + 324*b wrt b.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7709*m**2 - 3864*m**2 - 3857*m**2.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 + 11*d**5\/60 - 3*d**4\/8 + 11*d**3\/6 + 90*d**2. Let u be c(7). What is the highest common factor of u and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 245\/4. Let n = 2 - o. Which is the third smallest value? (a) -4 (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (3 + -4 + (sqrt(68) + -1*sqrt(68))**2)*1) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001356 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.616694 millilitres to litres.\nAnswer: 0.000616694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73 - -14) + (-265 - -324)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -17*o**2 - 3. Let y(j) = -22*j**2 - j - 4. Let a(m) = -4*n(m) + 3*y(m). Let r be 6\/(-4)*(1 + -3). Give a(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, z: 4, q: 1}. What is prob of picking 3 k and 1 z?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -373 - 2. Calculate the remainder when 59 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819462566.\nAnswer: 2, 3, 303243761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1061, -5 in decreasing order.\nAnswer: 1, -5, -1061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19255 is divided by 2602.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.461471 rounded to two decimal places?\nAnswer: -5.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - 5*n + 5*v + 38, -2*v = -3*n + 190 - 236 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80547 weeks in nanoseconds?\nAnswer: 487148256000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.67, 4, 0.17, 35, 1\/8?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -y - 3*y + 2*s - 96, -41*y = s + 122 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 130. Solve d - j*v - 16 = -2, 0 = -2*v - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -224*m + 783 + 3555 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-17)\/a**(-2))\/((a*a**(-11))\/a*a**(-9)) assuming a is positive.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0*m**2 + 36*m + 0 + 3\/40*m**5 + 7\/6*m**4 + 20\/3*m**3. Let a(c) be the second derivative of i(c). Differentiate a(b) wrt b.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1) - (8 - 0 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162954, 162964, 162988, 163032, 163102, 163204, 163344, 163528?\nAnswer: 163762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 11:21 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-208)\/(-4800)) - -12.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -4*h - 40, 2216*z - 2220*z + 20 = -0*h - 4*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l - 45 = 50*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/43)\/(r\/(r**(5\/2)*r*r)))\/(r\/(r*(r*r*r**(-19)*r*r)\/r)*r*r**16*r*r) assuming r is positive.\nAnswer: r**(-2705\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-4 - -4 - 0) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, t: 6, c: 8, g: 2}. What is prob of picking 1 t, 1 w, and 1 c?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1238383 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1988499470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 - 1)*(2394766 + 2494*s - 2394766) to i + t*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 39 - 7 = 53 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = -15*c - 184, 0 = 4*p - 8*p - 2*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*y - 140, 9*n = 7*n + 5*y + 62. What is the lowest common multiple of n and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3738, 29897, 100902, 239175, 467138, 807213?\n\"Answer: 3737*p**3 + p**2 - 3*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44668 is divided by 59.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + m = -844 - 337, 0 = -3*r - m + 715. Let p(y) = -236*y**3 - y**2 + 2*y + 3. Let d be p(-1). Is r greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3256892 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.18 (b) -2411 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -831, -670, -497, -306, -91, 154, 435?\n\"Answer: k**3 + 154*k - 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + t**2 + 3*t + 6. Let d be f(0). What is the hundreds digit of d*(-5)\/10 - -272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**2 - 399*i + 400*i + 2*i**2 + 6*i**3 + 2. Determine f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 3*w**2 + 2*w - 3. Let j(y) = 3*y - 27. Let a be j(10). Calculate the least common multiple of b(a) and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 4 - 2*z**2 - 15 + 39 as n + c*z + s*z**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.906 times 142.5?\nAnswer: -271.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 + f**5*v + 117*f**4 + 38*f**2*v - 2*f*v wrt f?\nAnswer: -120*f**3 + 60*f**2*v + 2808*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(6\/(-7))*60\/9*118\/1180\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-26)\/(-104))\/(1\/8). Solve 4*g - 22*g - g**2 - 3*g**f + 2*g**2 = 0 for g.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/2*3*(-3)\/63\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 36, -3*o - 1614*b - 18 = -1610*b. Suppose 0*i - 14 = -2*i. Calculate the least common multiple of i and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*p - 3, -p + 1 = -0*p. Let k(b) = 2*b**3 + 5*b**2 + 5*b + 2. Let o(v) = -2*v**3 - 6*v**2 - 6*v - 2. Determine i*k(l) - 5*o(l).\nAnswer: -2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7.17, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4}. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1928 = 51*j - 7895. Let z = -1052\/9 + j. What is the third biggest value in z, 5, 0.011?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 60, -2, 24, -26, 9 in increasing order.\nAnswer: -26, -2, 1, 9, 24, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1)*16\/64.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 115, 2, 2\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3 times -0.25?\nAnswer: -1.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**3 - l. Let r be q(-1). Let k(o) = -o**2 - 5*o + 8. Let h be k(r). Calculate the common denominator of (-34)\/h*(-5 - -2) and 121\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(1\/8))\/f*f)\/(f**10*f))\/(f**(-2\/5)\/(f*(f\/(f\/f**(-9))*f)\/f*f)))**(-44) assuming f is positive.\nAnswer: f**(7249\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 39 (b) -6.28 (c) 0.05 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + 1 + 12\/(-3). Solve -8*o = -r*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-256088)\/1614 - (0 + 4\/3). Which is greater: -155 or r?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.07, 0.022, -4, -0.2, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47522, -47518, -47514, -47510, -47506?\nAnswer: -47502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 19*o + 66 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -214.07179 and 21654.\nAnswer: 21439.92821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**2 + 97330*m + 473656445 = 0. Calculate m.\nAnswer: -9733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, -4, 5 in decreasing order.\nAnswer: 8, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k - 3*k + 4*k)*(-3*k**3 - 3*k**3 + 5*k**3) + (18908 - 18908 - 930*k)*(-3*k**3 + 13*k**3 - 3*k**3) as c*k**4 + b*k + u + g*k**3 + j*k**2 and give c.\nAnswer: -6511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(6*((sqrt(176) + -2 + sqrt(176))*-6 + sqrt(176)))**2.\nAnswer: -38016*sqrt(11) + 771840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-5))\/(1\/(-15)). Is 17 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1809, 3709, 5609, 7509?\n\"Answer: 1900*y - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*h + 2 = 3, 4*s - 3*h = 5. Let y = 3 + -3. Let c = y - 0.1. Is s at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 381596825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 20 = 2*h. Let q(t) = -t**3 - 5*t**2 - 4*t - 4. Let k be 6\/3*(2 - 20\/8). Let y(l) = l**2 + l + 1. Let w(o) = k*y(o) + q(o). Calculate w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2142021 - -10?\nAnswer: 2142031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 2*z**4 - z + (73*z**2 - 11*z**2 + 19*z**2)*(-3*z**2 + z**2 - 3*z**2).\nAnswer: -407*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 1. Let m be i(-7). Let w be 2\/(-9) - m\/96. Let q = w + 1\/16. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 26*b + 150. Determine m(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -36. Let x be h\/5 + (-133794)\/(-30). Suppose 3*c - x = -c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19887295.66 + 19887309.17577957. Let k = -0.51577517 + j. Let z = k - 13. What is z rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -79, -1035 in decreasing order.\nAnswer: 2, 0, -79, -1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.057 (b) -2\/9 (c) 3\/5 (d) -0.5 (e) -440.49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 716449876?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*y - 22 + 225 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15993 (base 16) to base 13.\nAnswer: 31362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 14. Let c(k) = 13*k - 1. Let r be c(2). Suppose h = s*h - r. Solve -3*j + 4*p = -p + h, 41 = 5*j + 4*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/(-3) - 2\/6. Let u(y) = y**2 + 7*y + 6. What is u(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -133002?\nAnswer: -133003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-14)\/12*(-42)\/3. Suppose 3*x - 388 = -c. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/12*2926\/(-399).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2. Let l(f) = 1705685*f**2. What is v(l(q))?\nAnswer: 5818722638450*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 5 - 3*n - 5 + (-5*n + 14*n + 6*n)*(1 + 2*n - 1) to the form c*n**2 + w*n + v and give c.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-3) - -1)\/((-1044)\/(-54) - 19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*y = 0, 27 = 15*a - 12*a + 3*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -862913?\nAnswer: 3451652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*q + 7 = 19, n + 4*q - 10 = 0. Suppose n*v = -0 + 10. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjyy. What is prob of picking 2 j?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 + 0*n**2 + n**2)*(3 - 3 + n**2) + (-n**3 + 3 - 3)*(2*n + 4 - 4) to f*n**2 + j*n**3 + v + u*n + q*n**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*p + 768\/5*p**2 + 0 - 3\/5*p**5 + 69\/5*p**4 + 168*p**3 = 0. Calculate p.\nAnswer: -8, -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00100951 to five decimal places.\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b)**27\/((b\/((b**(-7)\/b)\/b))\/b**3)*(b\/b**(6\/11)*b)\/b**(-2\/3)*b**(1\/8)*b*b*b*b**(-2)*b assuming b is positive.\nAnswer: b**(-7855\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3058, 2931, 2720, 2425, 2046?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -1\/6, -4, 2414?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Suppose 4*s + 4*t - q*t = 60, -2*s + 30 = -5*t. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4917792 and 1584.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -632 or -626?\nAnswer: -632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6 + 0*a + 2*a - a. Let g be k(-7). What is the nearest to 2 in 0, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 4. Let y(i) = -i + 1. Let a(z) = 6*j(z) - 21*y(z). Find the first derivative of a(x) wrt x.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.04 (b) 2\/3 (c) -21 (d) -4 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 11*t - 86. Determine w(13).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3 - 2*s**4 - 3922*s**2 + 3822*s**2 - 57*s**3 = 0?\nAnswer: -25, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 3*i**2 - 5*i - 4. Suppose 0*f - 5*f + 4*l = -10, -5 = l. Does 2 divide d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -26*a**3 + 2*a**2 - 700*a - 1403. Determine u(-2).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -174138 divided by -2\nAnswer: 87069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*u**3 - 12*u**3 - 752*u - 201840 - 2*u**3 + 17*u**3 - 711*u**2 - 43096*u = 0. What is u?\nAnswer: -116, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 12?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pozoozoazo. Give prob of picking 3 z and 1 a.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -7*y**5\/20 - y**4\/12 - 3*y**3\/2 - 4*y**2 + 186*y. Find the second derivative of s(j) wrt j.\nAnswer: -42*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-46)\/(-14) + (-16)\/56. Suppose -2002 = -x - x + 2*b, h*x - 2983 = -2*b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.92 + -2. Let x = m + 0.08. Suppose -6*b + 4*b - 21 = -3*i, 4*b = -5*i + 13. What is the third smallest value in x, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1132 + 1132 + 435*r.\nAnswer: 435*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53976 is divided by 221.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4 - 66*p**3 + 231*p**2 + 552*p - 2448 = 0.\nAnswer: -3, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 866*z + 31088. Calculate c(-39).\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1535326694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 2717, -19.2?\nAnswer: 2717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15ab658 (base 13) to base 10\nAnswer: 6994138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0 - 1\/24*o**4 - 2*o + 0*o**3 + 3\/2*o**2. Let u(x) be the first derivative of a(x). Let c(m) = m**2. Calculate c(u(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -542768 (b) -4\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - p + 28176. Let s be z(0). Suppose -7*c + s = 9*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170496 divided by 3552.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21cb11 (base 16) in base 9?\nAnswer: -4144857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10198869988331 and 0.2?\nAnswer: 10198869988331.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -296511 in 3\/4, 0.1, 2\/13, 1.49, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/7))**(-40) assuming o is positive.\nAnswer: o**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.173820227 to five decimal places.\nAnswer: -0.17382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -25*j**3 + j**2 + 7*j + 4. List the prime factors of a(-3).\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*w + 10, -3*l = -2*w + 854. Let m = -543 - l. Round m to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + -5 - 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -24*r + 94. Let l(g) = -74*g + 281. Let b(v) = -8*f(v) + 3*l(v). Differentiate b(a) wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 65. Suppose -5*q = 1 - p. Suppose -18 - 636 = -q*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-175)*10 - 56\/49\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + 6 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 53*l - 290. Let a be y(-45). Which is bigger: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*l**2 - 28*l + 24.\nAnswer: -4*(l + 2)*(5*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9726 + -0.0274. Which is the third smallest value? (a) t (b) -2 (c) 0.5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + 5*w**3 - w**4)*(-2 + 0 - 2).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -34 - 38. Suppose -2*h - c = 5*m, -5*m + 9 = h - 8*m. Solve -13 = h*v - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 - 3 - 2*n**5 - 13*n**4 + 9*n**4 + n**5 + 2*n**4 - 2*n**4 + n**5 + 1 - 1 + (-n**5 + 0*n**5 - n**5)*(1 - 3 + 1) + 4*n**5 - 3*n**5 + 0*n**5.\nAnswer: 3*n**5 - 4*n**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 1 - 1)*(28 + 7 + 29)*(3*z - 4*z + 0*z).\nAnswer: -256*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8073)\/(-9660) - (8\/(-112)*7)\/(-14).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (25 + -24 - -24)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -22*d + 441. Let q be r(20). Put -1, -3, q, 105 in descending order.\nAnswer: 105, q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/9 (c) 5 (d) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*q - 108, -6*y = 4*q - 4*y + 118. Let s be 4\/q - (525\/24)\/(-7). Factor 2\/3*i**s - 18 + 18*i - 6*i**2.\nAnswer: 2*(i - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + t - 5*t + (1 - 2 - 1)*(5 - 5 + 2*t))*(3*t**3 - 2*t**3 - 2*t**3) in the form h*t + n*t**4 + v + b*t**2 + s*t**3 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-1)\/((-18*(-7)\/7)\/146).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 5 + 3 + 0. Calculate s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*k + 45*k - 4*y + 2, -k = -4*y - 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -345*t - 875. What is the units digit of l(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (6 + (-532)\/70)\/(2\/(-600))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m - 3*g + 8, -2*m - 5*g = -4. Let c(j) = -j**3 + 7*j**2 + 2*j - 10. Let r be c(m). Factor x**r - x**4 + 2*x**4 - 2*x**5.\nAnswer: -2*x**4*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = -3, 4*r = -5*q - 20. Is -3\/7 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/498 - -11479\/12450. Find the common denominator of i and -79\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3561 is divided by 536.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5540983 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/25)\/(12\/(-555)). Let i = 8\/5 - y. Let k = 2.5 + 2.5. Which is the third biggest value? (a) -1\/5 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 8\/21*o**3 + 3*o + 0 - 1\/210*o**5 + 1\/42*o**4 + 25*o**2. What is g in i(g) = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d + d)*(-9515 - 5143 - 5996 - 6925 + 1690 - 6842).\nAnswer: 65462*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 85, 0.16 in decreasing order.\nAnswer: 85, 12, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -31\/3 (b) -0.2 (c) 1\/110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.048 and 0.02357934.\nAnswer: -0.02442066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13914*p**4 - 249*p**2 - 26 wrt p?\nAnswer: -333936*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g - 2*m = -28*g + 7419, -g + 3*m + 1476 = 0. What is the highest common factor of 60 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14870 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2401 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*sqrt(1088)*-1 + (3 + sqrt(1088) + -3 + sqrt(1088))**2 + sqrt(1088))*-1.\nAnswer: -4355 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2491600?\nAnswer: 2, 5, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/26 + 57\/130. Is g less than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0 (c) 207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93991935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - j = 7*r + 6, -23 = 2*r + 5*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3698538, -3698552, -3698598, -3698694, -3698858, -3699108?\nAnswer: -3699462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1366 + 5036496104.\nAnswer: 5036494738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.1, 924, -2.13, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2174336 is divided by 297.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123482 is divided by 20104?\nAnswer: 2858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 173, -5, 5, 2, 0.3, -68?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 60, 12, 3, -5 in descending order.\nAnswer: 60, 12, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:00 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 18 = x - 5*t, -3*x + 54 = -5*t. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.5 - -16. Let h = 0.32 + -0.3. Put n, h, -0.2 in decreasing order.\nAnswer: h, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 6*g + 4. Factor 4*p + 6 - g - 4*p**3 - 8*p**2 - 4*p**3 + 0 + 4*p**4 + 4*p**5.\nAnswer: 4*(p - 1)**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0 + 11*f**2 + 0*f - 1\/60*f**5 - 7\/6*f**3 - 1\/24*f**4. Let g(s) = s**3 + 7*s**2 - 7*s + 8. Let d be g(-8). What is h(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 3*g + 3. Let n(v) = -v - 4. Let y be n(-2). Let t be d(y). Suppose 0*x - x + 4*p = -t, -4*p - 19 = x. Which is greater: x or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fix when three letters picked without replacement from ixhvxhihfi?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -18*k + 5\/24*k**3 + 1\/12*k**4 - 18 + 1\/4*k**2 + 1\/80*k**5. Let q(m) be the first derivative of t(m). Factor q(j).\nAnswer: (j + 1)**2*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 10*o - 7. Let w be z(12). Let v = 38 - w. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 10. Let j = 69 + -75. Let n = 15 + j. Calculate w(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156)*3)\/((sqrt(1728) - (sqrt(1728)*-3 + sqrt(1728))) + sqrt(1728) - sqrt(1728))*-3 + 0.\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -6*j**5 + 11*j - 20. Differentiate s(w) wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 462 = -39*r - 14*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + p - 54 = 0, 3*c - 2*p = 8*c - 90. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - (-930)\/24) + 6\/(-8). Is ((-818)\/3)\/((-4)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 - 30 = 5*x. Let h be 1\/5*-41 - (-8)\/(-10). Let f be 3\/h*-6 - (1 - -1). Solve f = -5*k + x - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.396 - -1.604. What is the smallest value in p, 0.06, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (148\/6)\/(20\/30). Let k = b + -35. Solve k = 3*h - 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17655 - 16004. Is m != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/10 + -1)\/(-7*24\/560). Which is the fourth biggest value? (a) z (b) -4 (c) 1\/5 (d) 0.1 (e) 0.025\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/475 and -89\/190?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + 1) - -2 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/226022051?\nAnswer: -2\/226022051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231890*a = -231863*a - 648 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -4*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 10*b + 19. Let f be r(6). Let c(q) = q**3 - 9*q**2 + 7*q - 11. Let s be c(f). Let w = s + 93. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/9 - 58*d\/9 - 20\/3 = 0. Calculate d.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -899\/5 - -179. Let t = -0.95 - -1. Let k = 77 - 76.8. Which is the second biggest value? (a) d (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9509712437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19470)\/(-2310) - (-66)\/42?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-11 + 0 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -62, -4432?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1722974*s**4 + 2*s**3 + 1563692*s.\nAnswer: -20675688*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(109*z**2 - 109*z**2 - 15*z**5 + (0*z + 0*z - 2*z**3)*(2 - 2 + 2*z**2) + 7*z**3 - 7*z**3 + 2*z**5 + (-2*z**5 - 2*z**3 + 2*z**3)*(0 + 0 - 2)).\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58380093599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c**3 + 7*c**2 - 2*c + 13. Let v(n) = -4*n**3 + 3*n**2 - n + 6. Give 6*u(l) - 13*v(l).\nAnswer: -2*l**3 + 3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3 + 2108041*d**2 - d - 2108041 = 0. What is d?\nAnswer: -2108041, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 2574 in descending order.\nAnswer: 2574, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 24*t - 25 = -5*r, -3*r - t + 15 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1)\/((-560)\/(-560))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 44 = 2*m - 4*b, 4*m - 3*b + 44 = 0. Let k = 17 + m. Suppose 5*a - 70*a**2 + k*a + 90*a**2 = 0. What is a?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/385 and -27\/5075.\nAnswer: 55825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -6\/41, -0.1, 2\/5, 0?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -4*s + 0 + 0*s**2 - 1\/15*s**3 - 1\/60*s**4. Solve k(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Let l = 0.02 - 0.46. Let i = l + 0.04. Which is the second biggest value? (a) h (b) i (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4138097\/6 less than or equal to -689683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 3*a**5\/20 - 5*a**2. Let m(h) = h. Determine m(s(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.818380715 to four decimal places.\nAnswer: 1.8184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89699567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -12.9. Let y = 614 - 613. Which is the third smallest value? (a) y (b) i (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + 25 + -37 + -64.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 8*s**2 - 7*s. Let x be t(7). Suppose 2*q + 0*q + 3*c = 239, x = 5*q + 3*c - 593. Is 13 a factor of q\/8 - 5\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + k. Let w(m) = -2*m**3 - 4*m - 3*m**2 + 7*m - m**3 + 2*m**3. Calculate -6*b(o) + 2*w(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 6*v - 4. Let l be c(-6). Let n be ((-4)\/2 - -3) + l. Let p be (-28)\/(-1) + n*(-16)\/12. What is p rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 736 + -560. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 566 = -524. Let w(u) = -u**3 + 8*u**2 - 3*u - 9. What is w(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1\/((-2)\/16) - 803\/(-292))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*3\/9*3. Suppose -a*m = -f - 7, m = -0*f + f - 1. Suppose 0 = 3*k - 3*c + 4*c - 10, m*k + 5*c = -5. Solve -5*r = -x - r + 24, -25 = k*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1 - 6*m + m + 0*m. Suppose -4*u + 19 = -3*j, -3*j + 6*u - 23 = u. Let s be p(j). Solve 3*h = -3*c, 9 = h + s*c - 0*c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -815750253 bigger than -815750252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.048 (b) -5 (c) 2.5 (d) -0.4 (e) 4 (f) 0.09 (g) 1\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.627 from 2182.848498.\nAnswer: 2183.475498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1020 and 143\/18?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f + 105 = -609 + 84 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -19. Let t(x) = 2*x + 6 + 0 + 6. Let l be t(g). Which is the third smallest value? (a) 2 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 789177, 789173, 789167, 789159, 789149?\n\"Answer: -t**2 - t + 789179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 939458*z + 68591092.\nAnswer: -2*(z - 469802)*(z + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(-81)\/36*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*t + 3484 = 0, -4*b + 4245 = 2*t + 767. Suppose -5*g + 11123 - b = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 9. Let x(w) = -w**2 - 5*w + 6. Let u = -18 + 12. Let p be x(u). Solve 3*k + 2*z - z = o, p = -4*k + 4*z - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j - 234401*j**2 - 34*j**3 + 234401*j**2 to l*j**2 + v + d*j**3 + x*j and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9980\/107 or 94?\nAnswer: 9980\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 3*q - q + 562*q**2 - 148.\nAnswer: 562*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -188, -375, -562, -749, -936?\n\"Answer: -187*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-1)\/sqrt(4) - (-4 + sqrt(10)\/sqrt(2)*-6).\nAnswer: 4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/222 - 2557\/888. Calculate the common denominator of -63\/136 and g.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 385, -107, -2359, -7253, -15671?\n\"Answer: -147*f**3 + 2*f**2 + 531*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**7\/280 - l**4\/8 - l**3\/6 + l. Let i(w) be the second derivative of s(w). What is the derivative of i(h) wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 684, 692, 714, 756, 824, 924, 1062, 1244?\nAnswer: 1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-21))\/(p*p**(-3))*(p*(p**(2\/75)*p)\/p)\/((p\/(p\/(p**11*p)))\/p))**15 assuming p is positive.\nAnswer: p**(1052\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11437*0.081.\nAnswer: -0.00926397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.101 + 1.899. Let t = 4\/39 - 7\/26. Let d = -101\/105 + 22\/35. What is the closest to 0 in t, f, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*p - 223?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-806 - 8*r + 2*r + 809)*(0*r**2 + r**2 - 2*r**2)*(-2*r**2 + 3*r**2 + 0*r**2).\nAnswer: 6*r**5 - 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.9701396 + 6.97. What is k rounded to 6 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2101, -2084, -2017, -1870, -1613, -1216?\n\"Answer: 5*f**3 - 5*f**2 - 3*f - 2098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-10)*(-5)\/(-2). Let f be 3 + 4*g\/(-16). Let z(y) = -y**2 + 4*y + 4. What is z(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*z - 42 + 155, -38 = 2*i + z. Let f = i + 26. Suppose f*b + 12 = 22. Solve -s = b*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*u + 636*u - 317*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2909848 - 16190152. What is m rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 25197567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvv when three letters picked without replacement from ppxxxppvvxx.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 8*p**2 - 8*p + 2. What are the prime factors of c(-4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -970800 to the nearest 10000.\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300)*-4 + 4 + 3 + -3 + -4)**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f - 6611 = 8966 - 1657. Solve 4*t - 62*t = -f for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15619032, -31238081, -46857132, -62476185, -78095240?\nAnswer: -93714297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 + -110. Suppose k + 4*h - 205 = r, 0*k = 2*k - 5*h - 371. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 78c2 + -a96b?\nAnswer: -3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1216)*-2*6 + (6*(sqrt(1216) + 4))**2 + -1).\nAnswer: -221755 - 11040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**8*(q*q\/((q*q**2\/q*q)\/q)*q)\/q)**(-1\/3)*(q**(-3)\/q)\/(q**8\/q)*(q*q**0)\/q**(1\/5) assuming q is positive.\nAnswer: q**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 12*d + 9*d - 8*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26034 + 4652 = -3927*u + 83390 + 92595 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -228, -1\/9 in decreasing order.\nAnswer: -1\/9, -9, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2. Let q(c) = -38*c + 6096. Determine q(b(o)).\nAnswer: 114*o**2 + 6096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q. Let j(g) = -7*g + 1. Let i be (-48)\/(-8)*(-2)\/(-4). Let a(k) = i*u(k) + 2*j(k). Let o be (14\/2)\/(2 + -1). Calculate a(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2178287\/9548 - 1597\/7. Is -1 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95315 is divided by 338?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2628*t**2 - 1368*t**2 + 3863*t**2 as z + l*t**2 + b*t and give l.\nAnswer: 5123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u + 3*z - 47, -40 = -4*u - 3*z. Let c = 11 - u. Suppose 77 = -26*x - 17*x - 310. Sort x, -4, c in ascending order.\nAnswer: x, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -303 - -291. Let w(z) = -12*z - 1. Let s be w(1). Is y < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7660171668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 13, l: 5}. What is prob of sequence llyy?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiys when four letters picked without replacement from {s: 1, i: 1, y: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(1\/5 - (-51)\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s + 14*s + 513 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(1331) + 0))**2 + -4*sqrt(1331)*1 + -5 + (-1*2*(0 + sqrt(1331) + sqrt(1331)))**2)*-2.\nAnswer: -85174 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from eeeeheheehe?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3221877 - 41787065\/13. Suppose -184\/13*g**3 - 6348\/13*g**2 - j*g - 559682\/13 - 2\/13*g**4 = 0. What is g?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 83 = 2*z, 35*r - 32*r = -3*z - 123. Let i be -40 - z - ((-60)\/(-21) + -1). Which is the closest to 0? (a) -1 (b) 4\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 11) to base 6.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 130 = -3*i + 4*o, -2*i + 260 = 5*o. Is i a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-335)\/2077)\/((-2)\/(-6))*((-16)\/(-6))\/(-8)?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1000)\/(-60))\/(-50)*3\/2*34.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 104 - 32*j**3 - 476*j**3 + 52.\nAnswer: -508*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 6 = -2*a. Let t(u) be the first derivative of -2*u + 2 + 1\/2*u**2. Give t(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/5)\/(51\/170). Solve d*o - p - 7 = 4*o, p = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -26 + 1. Let t = 23 + -25. Let z = 3 - t. Is n < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6481 + 6574 = -31*m. Let x(k) = -2*k - 3*k**3 - 3*k**2 + 7 - 2*k**2 + k**3. Let t be x(m). Is t less than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*s + 50*s + 30. Calculate the lowest common multiple of s and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 14. Suppose 1 = 3*x + d - 22, -5*d = -x + 13. What is the smallest common multiple of i(-2) and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1331 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1423322 and -0.3?\nAnswer: -426996.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*x + 0 - 2\/5*x**2.\nAnswer: -2*x*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - d0720?\nAnswer: -d072b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.081208km to nanometers.\nAnswer: 8081208000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxfvvvxvlfvxvvxvfv. Give prob of sequence vxvx.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 7630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 4*r + 69. Let w(n) = n**2 - 4*n - 21. Let p be w(-3). What is the remainder when k(p) is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12314047 + 566362347\/46. Let k = -1822 - l. Is 0 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*f - 35*f - 15752 = -155*f + 36*f for f.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 12*o + 8. Let u = -26 + 40. Let m be b(u). Which is smaller: m or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32424 (base 6) to base 10\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -2 (c) 1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 298 + -166. Let r = i - 757\/6. Calculate the common denominator of -5\/21 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**7\/245 - s**6\/84 + s**5\/105 + 43*s**2\/2 - 18*s. Let h(v) be the first derivative of m(v). Factor h(u).\nAnswer: 2*u**2*(u - 1)*(3*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/16)\/(h**(1\/31)\/h) assuming h is positive.\nAnswer: h**(387\/496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence biii when four letters picked without replacement from {b: 1, i: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5423, -4, -3, -8441 in descending order.\nAnswer: 5423, -3, -4, -8441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22698 and 12222?\nAnswer: 158886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 - 4*n - 3. Give v(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 21 = 4*n. Suppose -2*s = -z + 75, -2*z + 3*s = 81 - 228. Suppose z - 14 = -5*w - 3*d, 3*w = 4*d - 4. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83595560.\nAnswer: 2, 5, 2089889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:12 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1007317 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -343 + -8. Let g be (-1)\/(-4) - p\/(-12). Let z = 52 + g. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-15)\/21) + (-10)\/((-90)\/9). Sort 28, 3, -2, j, -5 in descending order.\nAnswer: 28, j, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-136)\/(-6)*6\/4. Suppose 3*w + 5*h = d, -2*w = -2*h - 2*h - 8. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 + 1.46. Let m = 361\/11 + -33. What is the nearest to 2\/5 in m, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 36, 0 in descending order.\nAnswer: 36, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1.6, -1, -3, 31?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 855301112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 4*g**3\/3 - 12*g**2 - 12*g + 421. What is k(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 726\/301 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 - 3*n + 14. Let f(o) = -6*o**2 - 3*o + 15. Let u(k) = 6*f(k) - 7*g(k). Let d be u(6). Let t = d + 107. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -3. Suppose -g + 0*g - 5*s = -30, -4*g + d = -2*s. Suppose k = -4*k. Solve -5 = -3*v - p, k = 5*v + g*p - 9 - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 9:44 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0 - 1\/2*k**2 - 4*k - 1\/3*k**3 - 1\/12*k**4. Give z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354664532?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*o - 12. Let l = -2 + o. Put l, 0, 0.5 in descending order.\nAnswer: l, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -35. Suppose 4*c + 21 = z - 38, 3*z + b*c = 219. Differentiate 4*i**4 - 57 + z + 10*i**4 with respect to i.\nAnswer: 56*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442.55 rounded to the nearest integer?\nAnswer: -1443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 3*m**2 - 8*m**4 - m**3 + m**2 as t*m**2 + b*m**4 + c*m**3 + w*m + o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 6*k - 5*z + 3 = 0, -71*z + 285 = -5*k + 52 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/4 + 115*d**4\/4 + 2463*d**3\/4 + 19845*d**2\/4 + 15309*d + 10935 = 0. Calculate d.\nAnswer: -90, -9, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/17)\/(j\/(j\/(j\/(j**(2\/3)\/j))))*j**(-4\/7)\/(j\/(j**(-6\/11)\/j)) assuming j is positive.\nAnswer: j**(-17245\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(18)\/sqrt(3)))\/(sqrt(2) - 3*sqrt(98)).\nAnswer: -sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*i + 9. Let t = i - -19. Let m be (-8)\/(-216) + 1127\/189. What is the greatest common factor of t and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1902660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5050000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v - 27. Let w(d) = -3 + 2 - d + 5. Let p = 827 - 450. Let f = p + -404. Give f*w(i) - 4*b(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) 280 (d) 183.74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -11*j**2\/2 - 6*j + 5. Let g be d(-6). Suppose 2*q + q = g. What is the highest common divisor of q and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6933898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4730*o - 4725*o - 58, -5*f + 4*o - 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - 501 - 299 = 0 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 7*w**2 + 4*w - 2. Let z be b(-7). Let i = z + 33. Find the first derivative of 15 - 3 - 16*s**3 + i wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddduydyddudd. What is prob of picking 2 y and 2 u?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 1 r when three letters picked without replacement from rfrrrrfsrrrrfrrr.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*p - 3 = -21, 2*a + p = 6. Let n = -1 + a. Solve -2*h**4 + 8*h - 16*h**2 - n + 1 + 10*h**3 = 0 for h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:18 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:30 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*g - 3 + 3*g - 2*g + 0*g + (-2 - 3*g + 2)*(-5 - 1 + 1) + (-3*g + 6*g - 4*g)*(-1 + 0 - 4).\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 7, 5, 3, -3084, 4, 1 in increasing order.\nAnswer: -3084, 1, 3, 4, 5, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {e: 7, l: 1, o: 8, u: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 1:22 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*v - 44*v + 14*v = -711 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 538? (a) -1\/2 (b) 0.1 (c) -29078 (d) -4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 12. Let b = 17 - w. Calculate the lowest common multiple of 6 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 4:00 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*g**3*i**3*u + 2*g**3*i**2 - g**2*i**2 - 8*g*i**3*u + i + 12*u wrt i.\nAnswer: 246*g**3*u - 48*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + 4*k + 2*k**5 + (2*k**3 + 2*k**3 + 4*k**3)*(-54*k**2 + 36*k**2 + 36*k**2).\nAnswer: 146*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1515 + 1520. Let b = 38 - 15. Suppose 3*f - b = -i. Solve -r + d = -f*r - 29, -r + 5*d + 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**6\/135 - s**5\/9 - 23*s**4\/54 - 4*s**3\/9 - 17*s. Factor h(m).\nAnswer: 2*m*(m - 12)*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643878 is divided by 321933?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5007094 and -28.\nAnswer: -5007122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*i*k**2*w**2 - 3*a*i*w**2 + 2*a - 23*i*k**2*w**2 + i*w + i - 6*k**2*w - 5*k**2 wrt w.\nAnswer: 4*a*i*k**2 - 6*a*i - 46*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5609700 to the nearest ten thousand.\nAnswer: 5610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68) - (-1 + sqrt(68))**2)*-4.\nAnswer: -72*sqrt(17) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 2:09 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 765 = -23*c. Let v(w) = -15*w**2 - 2*w + 2. Let h(p) = -119*p**2 - 17*p + 17. Determine c*v(u) - 2*h(u).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7442*c**5\/7 - 854*c**4 + 1262*c**3 + 5906*c**2\/7 - 1392*c\/7 + 72\/7 = 0. Calculate c.\nAnswer: -1, 6\/61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14248679.6 rounded to the nearest ten thousand?\nAnswer: 14250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*(-348)\/(-232)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 4*v**2 - v - 2. Let g be u(3). Let m = 1 + g. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/(2\/4). Let f = 3 - 4. Let b = -19\/153 - -4\/17. What is the third biggest value in f, b, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*m = -13088 + 75167, 0 = -n + m - 20694. Let f = n + 122611\/6. Let s = f + 5981\/24. Calculate the common denominator of s and -57\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let l = 2770 + -2770. Let q(u) be the second derivative of 0*u**2 + l + 0*u**3 + 13*u + 37\/12*u**4. Determine x(q(a)).\nAnswer: -37*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 85*i + 82. Let j be k(1). Which is the biggest value? (a) -39 (b) 3\/7 (c) -4\/7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:29 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136342996\/5 or -27268600?\nAnswer: -27268600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 - 182. Let s(n) = 3 + 0*n + 7161*n**p - 7162*n**2 - n. Give s(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 140 = 3*r. Let z = -70 + 132. Suppose 105 = -57*m + z*m. Calculate the greatest common divisor of r and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 - 1042*s**2\/5 - 138288*s\/5 - 133128.\nAnswer: -2*(s + 5)*(s + 258)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 76 + 16\/6*(-3)\/2. Suppose 5*x - a = -2*g + 4*g, 3*x = 4*g + 32. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(272) + (sqrt(17) - (sqrt(17) + sqrt(272)*1)) - (2 + -6*sqrt(68)\/sqrt(4)).\nAnswer: -2 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 333 + -562. Let w = f + 417. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/23 - 58*k\/23 = 0. Calculate k.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -37*k**3 - 2*k + 6. Let f be h(-2). Are f and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*j - 37. Let z be 4\/(-34) + 36\/j. Find d, given that -4*d**4 + 6*d**3 + 4*d**4 - 2*d**4 - 4*d**z = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12336 is divided by 2460?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127773183.\nAnswer: 3, 547, 77863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 2:44 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (-18 - -19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-3*1385\/(-15). Suppose 0 = -3*g + v + 89. Suppose 3*z - g = -26. What is the greatest common factor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1364*f + 156866. Determine s(-115).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10671*h**2 - 10671*h**2 - 668*h**3 + (0*h - h + 3*h)*(5*h**2 - 2*h**2 - 5*h**2) + h - 2*h**3 - h.\nAnswer: -674*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138 + 14. Is s equal to -124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 4*q**2 + 2*q + 4. Let m be f(3). Suppose s = 3 - m. Suppose -i + 16 = -4*h + 3*i, i + 5 = -s*h. Sort -2, h, -1 in descending order.\nAnswer: -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 6*q + 26)*(-2 + 3 - 3) + 2*q + q - 4*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 8*a**2 - 2*a - 18. What is x(-9)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -437\/53?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33413 - -11036. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2470 - 1084. What are the prime factors of n?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 86*w**2 - 87*w**2 - 11 to q*w + g*w**2 + c and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 6:58 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqt when three letters picked without replacement from {s: 1, t: 6, q: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*(-53 - -49)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 86 + 915 = -5*u, 0 = 5*n - 3*u - 4895. Let l = n - 780. What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - k - 37 + 33 = 0, -5*k - 17 = 4*w. Sort -2, w, 3, 2.\nAnswer: w, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = 2*h. Let c = -1 - -6. Put 2, c, h in decreasing order.\nAnswer: c, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/17, 1\/49, 4, 0.1, -3\/5, -260 in ascending order.\nAnswer: -260, -3\/5, 1\/49, 0.1, 4\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*w - 6575 - 45751. Calculate the smallest common multiple of w and 18.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 5:57 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 0*r - 7*r)*(0 + 0 - 8*r**2) + 87*r**3 + 762*r - 762*r as i*r**3 + x*r + m + g*r**2 and give i.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:52 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-28))\/((-2)\/28). Suppose -5*t - 200 = 4*n, a*n - 7 - 145 = 3*t. Let p = 0 - t. Calculate the highest common divisor of p and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 43. Suppose w = 10*y - 2*y + 24. Let n be ((-3)\/(-1))\/(-12) - (-4 - -4). Which is the fourth biggest value? (a) 11 (b) y (c) n (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -620, -4, 5 in descending order.\nAnswer: 5, -4, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.532762717 rounded to 4 decimal places?\nAnswer: 6.5328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/11))**(5\/2) assuming n is positive.\nAnswer: n**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.11 (b) -2 (c) 3\/4 (d) 8\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -112?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 818, 2564, 5244, 8858?\nAnswer: 13406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 1:24 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7\/63*9*(-10)\/6\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*g - 16*g + 37*g)*(-3 - 2*g + 3) - 4 - 9*g**2 + 4 + 0*g**2 + 2*g**2 - 3*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*m - 9873 = 241*m + 36817. Is 115 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3097 = 931. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 5*x - 38 + 61, 5*x - 20 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 11:21 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-118)\/885*-45)\/(-7).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(152) + sqrt(152)*2)*5 + sqrt(152))\/(sqrt(40)\/sqrt(20)).\nAnswer: 2 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = -25*k - 50 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2303\/42 - 54 - (-2)\/3. Suppose -v*a**3 + a**5 - 1\/2*a**2 + 1\/2*a + 1\/2*a**4 + 0 = 0. What is a?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -48, -105, -182, -279, -396, -533?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**3 - 1994 - r**2 + 243 + 294 + r.\nAnswer: -8*r**3 - r**2 + r - 1457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -18*m - 2. Let w be z(3). Let h = w + 73. Let d be (-536)\/(-4) - (-3 + 1). Calculate the greatest common divisor of d and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**3\/3 + j**2 - 3*j + 13. What is the units digit of h(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34220 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 11*r + 14*r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-1))\/(15\/(-10)). Suppose 7 + 1 = a*z. What is the remainder when z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1194 + -1197. Let u = -23\/36 - -8\/9. Which is the third smallest value? (a) u (b) p (c) -26\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -496684574, -496684575, -496684576?\n\"Answer: -l - 496684573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 1.3. Let m = -2.46 - -0.16. Let g = m - -2.4. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -1\/45*i**5 + 7*i**2 + 0 + 0*i + 1\/36*i**4 - 1\/60*i**6 + 0*i**3. Let l(h) = 0. What is h?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - h)*(-5673 - 10759 - 787 + 2815 - 1544) in the form a + n*h and give n.\nAnswer: 15948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 2*l + 6, 0 = -3*m + 4*l. Suppose -3*a - 2*o + 349 = 0, 2*a + m*o = -2*a + 460. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 268, 133, -2, -137, -272?\n\"Answer: -135*v + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 8*k + 3*k + 3550, -10*k = v - 683. List the prime factors of v.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11573393 and 897.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 61 = 3*u - 3*d, -2*u - 69 = 3*d. Find the common denominator of 35\/36 and (-12)\/u - 131\/(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 14869?\nAnswer: 14868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1290 divided by 4.\nAnswer: 645\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*f + 1223772 = -16067*f for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 7*s + 20. Suppose s*h = -h. Solve 5*j - j - 4*u = 12, h = 3*j + 3*u - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k + 32*k - 15*k + 0*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/30 + o**4\/12 - 5*o**3\/6 + 2*o**2. Suppose -p - p = -12. Is r(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*p - 27, 0*p - p = 3*o + 5. Let n be (p + -2)\/((-1)\/(-1)). Solve -n*t + 2*g = -2*g + 22, -5*g = -4*t - 32 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202 - -157793589977.\nAnswer: 157793589775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -3*r**4\/4 - 1124*r**2 - r. Let h(s) = 12*s. Determine q(h(w)).\nAnswer: -216*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11873431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 7. Let u(a) = 5*a + 11. Let p = -38 - -43. What is p*u(n) - 8*x(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from kdkr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -1 + sqrt(11) - -1*sqrt(11)*6) + -5.\nAnswer: -6 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p - 5*a + 11, 0 = -p - 2*a - 21. Let c be 5\/25 + (-297)\/p. Solve 28*g = 23*g - c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2891 = -5*z - 11*z - 1035. Put -5, 0, z in ascending order.\nAnswer: -5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.1138 times 2?\nAnswer: -0.2276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7168\/765 + 154\/17. Calculate the common denominator of 35\/2 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9333355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -0.5 (b) 288 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -14, 3 in increasing order.\nAnswer: -14, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45580 rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**4\/12 - h**3\/6 - h**2\/2 - 13*h. Let j(z) = -8*z**2 + 3*z + 14. Let n(s) = -18*g(s) - 2*j(s). Let n(b) = 0. Calculate b.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 + -63. Let m(j) = 5*j - 2. Let o(d) = -4*d + 2. Let n(u) = 4*m(u) + 3*o(u). Let s be n(3). Calculate the greatest common divisor of s and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*v**2 + 49*a**2*v - 18*a**2 - 4606*a - 3*v**2 wrt a?\nAnswer: -8*v**2 + 98*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 + 354342322?\nAnswer: 354342441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -19.96\nAnswer: -99.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0 - 4) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 61, 70, 77?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/263 + -245\/789. What is the third biggest value in 39, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-13)\/(((k\/k**(3\/10))\/k)\/k) assuming k is positive.\nAnswer: k**(-117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k. Let x be 429\/26*8\/3. Let s(p) = 5*p. Let i(c) = -c. Let j(a) = -4*i(a) - s(a). Give x*j(f) - 4*g(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8633 - 8632.947. Which is the closest to -1.3? (a) -2 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w*(w\/(w\/(w**20*w))*w)\/w*w*w))*w*w**17*w assuming w is positive.\nAnswer: w**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4667, -37408, -126327, -299528, -585115?\nAnswer: -1011192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 + -38. Let j = 56.982 - s. What is j rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 3, -6, 2, -3 in ascending order.\nAnswer: -88, -6, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/135 and 77\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -422 + 219. Let k = h + 204. Which is greater: k or -31?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(7920\/4356)\/((-5)\/(-22))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from cyysssy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 127529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241443266.\nAnswer: 2, 73, 1653721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 s when four letters picked without replacement from {s: 11, r: 1, m: 2}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.06907056 - -1\nAnswer: 0.93092944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**3 + 3*z + 8. Let a(y) = -3*y**3 - 3*y - 7. Determine -6*a(p) - 5*o(p).\nAnswer: -2*p**3 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 5*r**2 + 9*r + 9. Determine a(-6).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010068428 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 19. Calculate k(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59857 is divided by 1356?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 302\/7143 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4781113, 4781093, 4781045, 4780957, 4780817?\n\"Answer: -2*q**3 - 2*q**2 + 4781117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/2500 and -173\/252000.\nAnswer: 1260000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87319280 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 6:07 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 9 - 5 = 0. Let l = -4 - c. What is the third derivative of 0*r**l + 13*r**2 - 2*r**3 + 0*r**3 - 10*r**3 wrt r?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 2. Suppose -3*j = 32 + 1. Let f(o) = 8*o - 6. Give j*t(z) - 4*f(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24756741 divided by -2750749\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 21 + 5*g**3)*((8 - 20 - 35)*(-1 + 2 - 2) - 3 - 2 + 1) in the form r*g**2 + l + z*g + w*g**3 and give w.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*k**2 - 37*k**2 + 14*k**2 - 3*k**3 - 8*k**2 + 86 in the form q*k**2 + x*k**3 + s + d*k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.53647611 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11*w + 14 = 0. Factor 0 + 0*f - 1\/4*f**w - 1\/4*f**3.\nAnswer: -f**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -195? (a) 1\/2 (b) -2\/5 (c) -0.1 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/133*21\/15*1)\/(551\/(-24795))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(5) - sqrt(45)*-2) - sqrt(10)\/(sqrt(2) + sqrt(12)\/sqrt(6))*-6.\nAnswer: 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25287287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*n - 19, -3*a + 2*n = -4*a + 12. Let w = 0.7 + 2.3. What is the nearest to 0 in w, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(294))**2 + -4.\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j + 56. Let i be d(8). Suppose -i*l = -25*l - 95200. Suppose 9*n - l = 10*n. Round n to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1196 = 4*v + 133, 0 = -x + 4*v + 269. Does 28 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11378943 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38164*b**5*l**3 - 2*b**5*l - b*l**3 + b*l**2 + b*l + 6221*l**2 wrt b.\nAnswer: 763280*b**3*l**3 - 40*b**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 44.\nAnswer: -6, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 2*p + 11. Calculate the remainder when j(-11) is divided by (-13)\/(-195) + (-1184)\/(-15).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**2 - 6*a**2 + 4893 - 36*a**3 - 4*a - 4893 in the form d + m*a + w*a**3 + l*a**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}