diff --git "a/data/dm_maths/full_data/123_11255.jsonl" "b/data/dm_maths/full_data/123_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/123_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the lowest common multiple of 1412 and 63744.\nAnswer: 22501632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005261558 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - -10867534?\nAnswer: 10867525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52305472.00391 + 52304812. Let i = c + 660. What is i rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (1 - -39)) + -1 + (3 - 14).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6264 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1532814889743 and 8.6.\nAnswer: -1532814889734.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1176569417 to the nearest integer?\nAnswer: 34301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(252) - (1 + 4*sqrt(252)) - -4*(sqrt(252) + 1)))**2.\nAnswer: 324*sqrt(7) + 2349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 17*v - 9. Calculate the remainder when b(6) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 5*f + 9 = 13*g, 4*f + 12 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b - 1. Let r be l(1). Let u(t) be the third derivative of 7*t**4\/12 + 5*t**3\/6 - 3*t**2 + 8. Let n(m) = 5*m + 2. Determine r*u(q) - 11*n(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven quarters of a week?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1700) - (sqrt(1700) + sqrt(1700) + -1) - sqrt(1700) - sqrt(1700))**2 + (sqrt(68)\/sqrt(4))**2 + 0 + 5.\nAnswer: -60*sqrt(17) + 15328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*d + 10*d**2 - 36*d - 27*d)*(-d**2 + 1 - 1).\nAnswer: -10*d**4 + 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 3\/8, -4, -2, 2254, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 12. Which is the smallest value? (a) -0.2 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -608 and 15546.\nAnswer: 14938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2561362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4249\/89561 in descending order.\nAnswer: 3, 2, -4249\/89561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -608146, -608048, -607950, -607852?\n\"Answer: 98*n - 608244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c3864 (base 13) to base 9.\nAnswer: 4133658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149763 rounded to the nearest one thousand?\nAnswer: 2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.36 + 68.77. Is -18 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + 2 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86042?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*-2 + (sqrt(50) - (sqrt(50) - (sqrt(350)\/(-2*sqrt(7)) - sqrt(50)))))**2.\nAnswer: 9025\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2663 is divided by 2561?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -24*g + 612. Calculate the highest common factor of g and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 113 = 35. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -53*t**3 - 9*t**2 + 9*t. Let y(u) = -27*u**3 - 4*u**2 + 4*u. What is -4*c(k) + 9*y(k)?\nAnswer: -31*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2 + 88*l = 0.\nAnswer: 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 43144*t - 560878. Give w(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -15, g - 3*a - 22 = a. Let u(t) = -2*t**3 - 2*t**2 + t + 1. Let y(s) = s**2. Let o(v) = -u(v) - 4*y(v). Calculate o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 278736 and 12.\nAnswer: 278736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16220.\nAnswer: 2, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 70889, 70885, 70877, 70865, 70849, 70829, 70805?\n\"Answer: -2*l**2 + 2*l + 70889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, a: 1, b: 1, c: 1, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1\/(-6) - (-320)\/(-384)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 253 = -d + 37, 2*d = 2*y - 196. Suppose -3*m - 8 = k, -5*k + 2*m = -k - 24. List the prime factors of y + k\/8*-2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -690, -689, -688, -687, -686, -685?\n\"Answer: t - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 488069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3, -2*o - 1 = -4*g - g. Suppose 3*s - 20 = -2*s. Suppose -2*f - 2 = s. What is the closest to 1 in 4, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2856 and 13440.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15461?\nAnswer: 15461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.7 + -13.7. Let h = 1139 + -1143. Which is the nearest to 0.1? (a) -54 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-31)\/((k**(-2)\/k)\/k) assuming k is positive.\nAnswer: k**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offw. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1592 = -2*g. Suppose 4*m - 32 = 2*h + 168, -2*m - h = -100. Calculate the remainder when g is divided by m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 45*t - 2499 = -22*t. Suppose -125 - 160 = -3*w. Let b = w + -44. Is b smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -226*s - 1852 - 1650 - 1470 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1953, 4041, 6133, 8229, 10329, 12433?\nAnswer: 14541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 1. Let g(o) = 3*o + 0*o + 3 - 3*o + 4*o. Give 2*g(r) - 5*j(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 + 42 = 2*a. Let t = 7 + a. List the prime factors of (3\/4)\/((-14)\/t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0731 + 18280?\nAnswer: 18280.0731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110101011111001100 (base 2) to base 6.\nAnswer: 14151524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -6 + (-12 - (-2 + 0)) + -8 - -14.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115869?\nAnswer: 3, 13, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 19, 25, 31, 37, 43?\n\"Answer: 6*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 186998419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 910.592 - 776.53. Round m to the nearest integer.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/4148 and -24\/85.\nAnswer: 20740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o - 14. Let m(x) = o*x + 6*x + 2 + 0*x. Let g be m(2). What is the highest common divisor of g and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8060*-101\nAnswer: 814060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/11 - 74*g**2\/11 = 0.\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3008 = 2*v + 2*k, -3*v + 4*k + 2234 = 0. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.207499 and -18.\nAnswer: 3.734982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 70 - 68 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17684 or 17690?\nAnswer: 17684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w + 10*w + 9*w - 55*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 7:04 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v - 287. Let h(z) = z - 41. Let j(t) = -14*h(t) + 2*k(t). Let x(i) be the third derivative of 5*i**4\/12 - i**2. Calculate j(x(y)).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*v + 22*v - 5040 + 49*v + 1010*v**2 + 19*v - 116*v wrt v?\nAnswer: 2020*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1767\/744 - 6\/3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 83*y**6\/6 + y**2\/2 - 34*y - 21. What is the second derivative of v(l) wrt l?\nAnswer: 1660*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-10)\/(-15) + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1215 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99179373 is divided by 1151.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19929 - -81229. Round a to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9239736 to the nearest integer?\nAnswer: 3040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -242*w. Let i(z) = -z**2. Calculate i(k(b)).\nAnswer: -58564*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160) + 1*sqrt(160) + sqrt(160) + sqrt(360)*4)\/(-2*sqrt(128)*-2 - sqrt(128) - sqrt(128) - sqrt(128)).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 6*y**2 - 5*y - 2. What is k(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -108*d - 1. Let h(x) = x. What is c(h(f))?\nAnswer: -108*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*d - 13 = 0, -p + d - 8 - 3 = 0. Put p, 5, 2 in ascending order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1544 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:20 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1113 (base 4) to base 9\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1 (c) -2397\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 156053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -144, -463, -956, -1623, -2464?\n\"Answer: -87*q**2 - 58*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 10) in base 15?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1150901*i*y**4 + i*y**2 + 3*i - y**4 + 238*y**2 - 2280 wrt y?\nAnswer: 27621624*i*y - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*i = -5*t + 75, 0 = 4*t + 20. Is i at most 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c66 (base 13) in base 4?\nAnswer: -201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 15) to base 5\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtm when three letters picked without replacement from {m: 3, t: 6, r: 8, s: 2}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60029 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h**(6\/25)*h)\/h*h)\/h)\/h*h)\/(h**17\/h))\/(h**(-3))**12 assuming h is positive.\nAnswer: h**(506\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44622*h**2 + 34484*h.\nAnswer: -89244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 44*m - 3244. Determine a(73).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-15\/4)*r**(8\/9))\/(r**(3\/8)\/(((r*r*r**1*r)\/r)\/r)))**(1\/13) assuming r is positive.\nAnswer: r**(-89\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08634 - -2.8?\nAnswer: 2.71366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*h**3*j**2 + 5*h**3*j + 2*h**2*j - 13*h*j + 47*j**2 wrt h.\nAnswer: -600*j**2 + 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-5))\/((-1)\/(-10)). Suppose 11*l = 7*l + 8. Solve -l*z - 2*z = -g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*n - 5*u - 37, -17 = 2*n + 5*u. Which is the nearest to n? (a) -9 (b) 1\/6 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 21*d**2 - 3*d + 3. Let x be v(3). Is ((-12)\/10)\/(1 + x\/(-180)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8*d - 4*d - 22233 = 0, 0 = 2*h + d - 44459. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 - 5*w. Let r(s) be the first derivative of 2*s**3\/3 - 3*s**2\/2 + 6. Let y(h) = -3*b(h) + 5*r(h). Let n(v) = v**2. Give y(n(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1323 = 5*t, 5*t - 1317 = 5*u - 6*u. List the prime factors of t.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (402\/135 - 3)\/(188\/13865) and 73\/87?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 + -14. Calculate the greatest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.23869ns in milliseconds?\nAnswer: 0.00008523869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0106 * 54451.\nAnswer: -577.1806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + -7 - (-167 - -198)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857 - 1875 - (1 + -7 - (-62 + -3))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -618 + 240. Let a = 5672\/15 + n. Do -33 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbtt. Give prob of picking 1 b and 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0538 * -13352\nAnswer: 718.3376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 0, 2*y = 1165*d - 1170*d + 50 + 45 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.4760419337 and -984.\nAnswer: -986.4760419337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s + 2*s**2 - 6*s - 12*s + 32*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 842324 a multiple of 449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 40. Let u be -5 - -1 - (p - 5). What is the units digit of (-1)\/u - 2\/(8\/(-154))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2584 and 1072462?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3619687227.\nAnswer: 3, 13, 89, 1042837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 689305, 1378607, 2067909?\nAnswer: 2757211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.37, 5, 2?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1631.\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 31*b + 11. Suppose 5*h = 21*x - 26*x + 75, -h = 1. Let u be i(x). Solve -11 = -g + 4*t, -2 = -g - 5*t - u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-60)*(-20)\/(-35)*-63?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 13*c**2 + 17. Let l(z) = -z**3 + 11*z**2 - 11*z + 14. Let r be l(10). Suppose -q - 47 = r*v, -3*v = 3*q + 24 + 9. Is a(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 4*q + 2. Let i be r(2). Suppose -i = 6*z + 10. Calculate the common denominator of -43\/10 and z\/(-7) + 802\/(-112).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -202, -448, -802, -1270, -1858, -2572?\nAnswer: -3418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.58*-1404.\nAnswer: -13450.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - w + 2*w + 32*w**3 + 20*w**3.\nAnswer: 52*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 195*y + 3150. Determine g(77).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3258600 and 360?\nAnswer: 9775800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 293\/(2\/3*69\/46) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 - 3*s**4 + 5*s**4 + (4 + s**2 - 4)*(0*s + 0*s + s**2) - 2*s**4 - 2*s**4 - 9*s**4 + (0*s**4 - s**4 + 4*s**4)*(-1 - 1 + 0).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 652*d - 95290. Determine u(222).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14000 divided by -4\nAnswer: 3500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3)*(-5 + 3). Is -36 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 + 4*c + 3. Let b be o(-2). Let j be 11 + (-4)\/(-1 - -2). Suppose -j + 6 = -g. Do b and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 6?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 39. Calculate the remainder when i(-15) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6. Let v = -5394.01 + 5394. Sort v, t, -0.5 in decreasing order.\nAnswer: t, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (76\/20 + -3)\/(3\/(-30)). Let r be 58 + 6\/i*-4. Let o = -46 + r. Solve -2*u + 26 = -u + 5*a, -5*u - 2*a + o = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -13. Is f smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 31*f**4\/4 + 28*f**3\/3 + 27. What is the third derivative of r(i) wrt i?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*g - 96061 = 783*g + 18216 - 4525 for g.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311294?\nAnswer: 2, 3, 218549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12920 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -11*r**2 - 3*r + 2. Let b be g(2). Let q = 8785 + -8789. Let k be (-3)\/b*4*q. Put -3, 3, k, -5 in descending order.\nAnswer: 3, k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 8*b - 2. Let y(x) = -6*x - 5. Let a be y(-2). Let z be d(a). Let f(o) = -z - 4 + o + 3 + o. Calculate f(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7247, 7256, 7271, 7292?\n\"Answer: 3*z**2 + 7244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 531 divided by -5\nAnswer: -531\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9884*u**2 - 3270*u**2 + 18324*u**2)*(0*u + u + 3*u + u).\nAnswer: 25850*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i - 4. Calculate g(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -742*g + g**3 + g**2 + 736*g - 5*g**4 - 3*g**2 to j*g + k*g**2 + m + d*g**4 + b*g**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 9:21 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-105)*14)\/((-12)\/(-180)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.362 times -0.3?\nAnswer: 0.1086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + u + 7. Let o(y) = -4*y**2 - 2*y - 29. Let c(x) = 9*h(x) + 2*o(x). Let n(k) = -2*k**2 - 16*k - 14. Give -8*c(s) - 3*n(s).\nAnswer: -2*s**2 + 8*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 6*d**2 + 1. Let x be o(-6). Let t(u) = -u**3 - 3*u**2 - 5*u - 141. Let i be t(-6). Which is the closest to 0? (a) -5 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*l - 174. Are l and 30 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 13) to base 14.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2221540687.\nAnswer: 10607, 209441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564*r - 303*r + 747*r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 292685.\nAnswer: -16, -4, 292685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 122338416*f**2 - 258537296 wrt f?\nAnswer: 244676832*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -734 - -1109. Let n = -326 + d. Calculate the greatest common factor of 42 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 12 = 0, 4*n = -4*m - 15 + 51 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -676.78 (b) 2 (c) 0 (d) 8 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 87*p + 597. What is x(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 484015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*k*m*z - 2*k*z + 18*k + 1741*m - 2*z + 69 wrt m?\nAnswer: -7*k*z + 1741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 11*d - 10. Let z be q(-10). Suppose 5*l = 4*f - 4, -3*l - 1 = -z*f - f. Find w such that l + 0*w + 21\/2*w**3 - 3*w**2 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 150 = 154. Let c be (-96)\/(-40) - g\/(-10). Find the second derivative of -38*w**c + 4*w**2 + 0*w - 13*w + w wrt w.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 92169*i + 213. Let j(n) = -2*n**2. What is w(j(g))?\nAnswer: -184338*g**2 + 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 0. Let q = 8.1 + -8. What is the nearest to q in 4\/3, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -120017*w**2. Let q(f) = -17*f**2. What is q(h(s))?\nAnswer: -244869364913*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 887*f - 1733*f - 23*f**3 + 846*f + 88*f**3.\nAnswer: 65*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = -x + 4*x, -3*g - 9 = 3*x. Let n = -22623 - -67868\/3. What is the closest to n in -0.5, -16, g, -1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 15 = 29*l - 5*p, -28 = -5*l - 3*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*w - 4*g, 198*g = -148*w + 201*g + 133 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105441126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 49976 = 7*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 2*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 divided by 2?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(1296)*3)\/(sqrt(192)\/sqrt(4) + sqrt(24)\/(sqrt(2)*-2)).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 300.527 - 304. Let y = n - -1.7816. Let a = y - -1.7. What is a rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2 - 2*y - 11 - 8. Is 5 a factor of x(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 + 7 + -2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2503648640?\nAnswer: 2, 5, 47, 83233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17390 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2724.363 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 7. Suppose 25 = q*i - 2*i. Solve i*h - 30 = -5*o, h - 5*o = 3*h - 27 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {r: 5, c: 1, t: 7}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29227*d**3 - 97*d**2 + 5*d + 65272703 wrt d.\nAnswer: -87681*d**2 - 194*d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z + z. Suppose -4*s = -5*k - 0*s + 61, s + 40 = 4*k. Solve -z - k = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 9*f - 5. Let i be p(6). Let r be (5 - (-112)\/(-12))*-3. Let s = i - r. Solve s = -3*b - x + 6*x + 5, -4 = 5*b + 4*x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*f - 2*f - 25 = 0, -16 = -5*n + 2*f. Suppose -7 - 2 = 3*d. Let t = -22 + 25. Put d, n, t in descending order.\nAnswer: t, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c**2 - 22*c + 2. Let k(u) = 5*u**2 - 11*u + 1. Let b(z) = 13*k(z) - 6*x(z). Let f be b(-8). Suppose f = -0*j + j. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 852\/1562 + (-144)\/22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 2)**2*2 - (2 + (sqrt(85)*-2)\/sqrt(5))) + -4.\nAnswer: 66*sqrt(17) + 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -33, -42, -55, -72?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19626 (base 12) to base 13.\nAnswer: -13c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*10\/(-240).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - 5*i)*(-4 + 5 - 4)*(i + 4 - 4 + 6*i - i - 3*i + (3*i - i - 4*i)*(-3 - 3 + 4) + 3*i - i - 4*i + 4*i - 6*i + 3*i).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 1)*(-5 + 226*a - 437*a + 5 + 0).\nAnswer: -1055*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:30 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114301*h**3 + 359592*h?\nAnswer: -685806*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/35 - 1\/35. Let p = -8.4 + 0.4. Let d = 7 + p. Which is the second smallest value? (a) d (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-26)\/(-10) + -2*(-3)\/15 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 615016767 and 21?\nAnswer: 4305117369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(378\/(-228)) - 3\/7. Suppose -69*r = -74*r - l. What is the remainder when 213 is divided by (r + -5)*6\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*p, p = 5*t - 105. Suppose -2*r + t = 11. Solve -r*n = -3*g - 31, -2*n + 9 = -2*g - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 70?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(125) + -1*sqrt(125)*6 - sqrt(125)))**2.\nAnswer: 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 7) to base 3.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 151. What is the closest to 70 in 2, -0.3, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -105, -181, -295, -459?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5 + 11415*d**4 - 307701*d**3 + 2562773*d**2 - 5385798*d - 8267688 = 0.\nAnswer: -1, 6, 11, 11388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42216 and 609?\nAnswer: 8569848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**3 + l**2. Let r be j(-1). Let o be (-14)\/r + 2 - 0. Let h be (-5 - -4)\/(1*(-3 - -5)). Which is the smallest value? (a) -2 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -3. Let g = 10 + -11. Let o be ((-60)\/40)\/(51\/4). Which is the third smallest value? (a) t (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 16. Suppose 2*t = 11 + 3. Is t bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 43*x**2 + x - 66. Let s(h) = 0*h**2 + 3*h + 3*h - 7*h - h**2 - 2. Let z(f) = -s(f) - v(f). What is the derivative of z(l) wrt l?\nAnswer: -84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -329656179*v**4 - 12*v**2 - 24*v + 1827?\nAnswer: -7911748296*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two ninths of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*b - 4. What is the remainder when (-4)\/(-8)*-2 - -62 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66577.\nAnswer: 7, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+-9.573423202\nAnswer: -9.513423202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38672 divided by 4.\nAnswer: 9668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbdb when four letters picked without replacement from dddddbddbdddd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3743*h - 856 = -3636*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - a + 6*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17558, -17554, -17540, -17510, -17458, -17378, -17264?\n\"Answer: g**3 - g**2 - 17558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -8 - -6) + (2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**6\/36 - 2*r**5\/15 + r**4\/9 + 44*r**2. Suppose c(l) = 0. What is l?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5 = -0*i + 5*i, -4*i + o + 21 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*q = -18, 3*r - 29 = -r + 5*q. Let i be r + 1 - (-4 - -1). Solve 2*o = -i - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0 - 6*s**2 + 1\/4*s**4 + 0*s**3 + 0*s. Let u(q) = 3*q - q + 0*q. What is t(u(z))?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) -5 (c) -0.4 (d) 386\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 106, 59, 4, -53, -106, -149?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33744480 by 5624080.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3530 + -1783. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/((-1)\/(-12)). Find the second derivative of c + 5*c**3 + 0*c**3 - o*c**3 wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 43071*q**2 + 3 - 43098*q**2.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3641 + -3587. Calculate the remainder when 148 is divided by v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0. Let z = 1.2 - -27. Let f = z - 28. Which is bigger: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/78 - (-212)\/26. Suppose v*i = 36 - 12. Solve -d - i*p = -9, -3*d + p + 3 = 2*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4766459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*k, -3*k = 3*n - 4*n - 10. Let d(s) = -23*s - 7. Let x be d(3). Let j = x + 77. What is the greatest common divisor of j and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -873*k**2*n**5 - 3*k**2*n**2 - 115*k*n**2 + 3*k*n wrt n.\nAnswer: -52380*k**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 14*d - 27. Let x(o) = 5*o**3 + 1. Let z be x(1). Suppose 9 = z*u - 39. What is the tens digit of g(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14447 + -194?\nAnswer: 14253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1159*q**2 - 25 + 1987*q**2 - 989*q**2.\nAnswer: -161*q**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 58*x + 240. Let u be f(-4). Calculate the greatest common factor of 1016 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus 0.64768360517?\nAnswer: -9.35231639483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/30*4*(-10)\/(-6). Put -4, 3, -1\/7, s in decreasing order.\nAnswer: 3, -1\/7, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -530147\/86180 + 7\/4309. Let f = -15547 + 1212769\/78. Calculate the common denominator of s and f.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1184 + 1190. Let x(k) = -k**2 - 6*k + 6. Let y be x(-5). Let r(u) = -u + 13. Calculate the remainder when o is divided by r(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65642063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/125 and 14\/652579?\nAnswer: 81572375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1404 and 624.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -19*g**7\/7 + g**3 - 72*g. What is the second derivative of t(m) wrt m?\nAnswer: -2280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-77)\/(-22)*(-12)\/(-14). Let t = -13 - -20. Suppose 0 = 5*s - 5*p - 5, 0 = 3*p - 4 + t. Solve 3*b + n*x = s, 0*x + 4*x = 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**23*s\/(s*s**4)*s*s**(-1\/7) assuming s is positive.\nAnswer: s**(300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -89, 0.1, -2\/3, -3?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*k - 5, 0 = -2*c + 5*c + 6 - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 2 + 5*p - 7*p - 7*p**2 - 7*p - p**3. Let f be j(-5). Solve -i - 12 = f*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 2*s**3\/51 + 131*s**2\/17 + 1500*s\/17 - 7775. Factor t(p).\nAnswer: 2*(p + 6)*(p + 125)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -737, -2758, -6127, -10844, -16909, -24322, -33083?\nAnswer: -43192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.866 + 15.866. What is the fourth smallest value in -0.14, -0.03, 3\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2 + 3 + 2 - l - 5 + 12*l**2. Let t be w(2). Let g = 21 - 17. Calculate the highest common divisor of g and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -5807672?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-12)\/9 - 60\/(-63). Let u(h) be the first derivative of -h**4\/4 + 2*h**3\/3 + h**2 - 2. Let r be u(3). What is the nearest to t in r, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 + 87 + 11 + 521 + 100)*(0 + 0 - 20*m).\nAnswer: -16880*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, m: 11}. What is prob of picking 4 m?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7806 = -3*c + 4684, -c + 5*i + 4150 = 0. Is 52 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3108714 rounded to 3 dps?\nAnswer: -0.311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v + 28*v + 35*v + 82 + 48*v. Is b(3) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3756182.\nAnswer: 2, 1878091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 697*i - 40*i - 111*i - 153*i.\nAnswer: 393*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 261*a**3 - 88*a**3 - 89*a**2 - 87*a**3 + 5918 - 1840*a + 430 - 87*a**3 = 0.\nAnswer: -46, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 19, 0.5, -7, 23.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-13 - 1) - -5) + 3 - 1 - -103?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o**3 - 7850 - 2*o**2 + o + 7850 as p*o**3 + t*o + j + u*o**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25251, 50525, 75799?\nAnswer: 101073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 407833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.86461\nAnswer: -0.259383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -42924079 * -2\nAnswer: 85848158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3834 and 3910538.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4*0)\/1. Suppose 3*t = -5*j - 20, z = 4*t + t + 3*j + 12. Suppose 0 = -n + 4, 4*n = -t*m - 2*m + 34. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)\/(s*s**15\/s) assuming s is positive.\nAnswer: s**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -4.03. Let s be -1 + 0 + 9\/5. Which is the second biggest value? (a) x (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 529 and 1403529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*x - 2070 = 296*x. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5366826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24704501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 468\/858 + 5\/((-55)\/(-38)). Suppose 0 = -5*l - u + 2492, 0*l - 3*u = 4*l - 1998. Suppose i*m - l = -158. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxen when four letters picked without replacement from {x: 1, v: 2, n: 6, b: 2, f: 3, e: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, 3, -232, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.131 - -658.\nAnswer: 658.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44*-1*-7*(-8)\/(-112)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 - -1)\/(24\/(-160)). Suppose 3*k + k = t. Suppose -4*y = 2*n - 30, 3*y = 5*n - 2*y - k. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 23*c + 195. Let q be p(-8). Let f = 992 - 2944\/3. Let k = q - f. Calculate the common denominator of k and 95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*u**3 - 13*u**2 - 299*u wrt u?\nAnswer: -126*u - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 - 6*h - 21.\nAnswer: -3*(h + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/26, -356, -2\/3, -0.4 in decreasing order.\nAnswer: -1\/26, -0.4, -2\/3, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -3*w + 634. Calculate the highest common factor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 77 in decreasing order.\nAnswer: 77, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.6 + -24.6. Is s less than or equal to -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25)\/(150\/(-72)))\/(-3))\/38?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, and 2 x when four letters picked without replacement from pdxpxsddddcd.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.66488 * -24.\nAnswer: 159.95712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 756 divided by -168\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*p + 33, 4*p - 7 = 3*o + 9*p. Solve o - 14 = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -202548 (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -7 (c) -3\/8 (d) -55 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -34.89203708 and 7.\nAnswer: -27.89203708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -34 - -43 - (-3 - -7). Solve -p*n + 5*v = 7*v - 15, -2*n + 6 = -v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -55*x + 85. Let c be z(-25). Suppose -2023 = -5*r + 2*v, 3*r + 3*v + 242 = c. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1300)*-1)*4)**2*-6.\nAnswer: -124896 - 1920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*c + 13 = 0, -3*b - 6*c + c - 139 = 0. Let x = -39 - b. Let k(i) = i + 3. Let v(m) = 1. What is x*k(r) + v(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 60. Let x = -4 - z. Suppose -x + 57 = 2*v. Solve -4*r + 3*w = -v - 4, 32 = 4*r - 4*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17047629*2.5.\nAnswer: 42619072.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114\/8 + 1\/(-4) is divided by (((-260)\/(-195))\/((-32)\/36))\/((-3)\/50)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -1)*(-54)\/(-36). Suppose 3*o = 3*k + 24, 0 = k + 6 - 1. Suppose -3 = -o*a + 2*a. Sort t, a, 5.\nAnswer: t, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 4*c + 0*c)*(2066 - 814 + 1942 + 440 + 126) to the form j + x*c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 467, 1050, 1773, 2624, 3591, 4662, 5825?\n\"Answer: -2*l**3 + 82*l**2 + 351*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59500786 to the nearest integer?\nAnswer: 7714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36761 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 - l. Suppose 5*u = z - 13, -4*z + 5*u - 3*u + 16 = 0. Let b be h(z). What is the greatest common divisor of 36 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rznnzrzz. What is prob of sequence rnzr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-9) + 3\/(-3). Which is the nearest to 1\/2? (a) 0.2 (b) m (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 - 612*h - 31002. Determine x(161).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 505, 1041, 1577, 2113, 2649, 3185?\n\"Answer: 536*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7\/4)\/c)\/c**(-3) assuming c is positive.\nAnswer: c**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - w + 1. What is b(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -410*t**3 + 17*t**2 + 2*t + 8. Let c be z(-8). Suppose 2*u - 5*k + 84400 = -k, -5*u - 3*k = c. Round u to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4074 by -55.\nAnswer: 4074\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynk when three letters picked without replacement from {y: 3, k: 3, l: 2, q: 1, n: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1250 - -1251. What is the third smallest value in c, -53, -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0101803 * -3\nAnswer: 0.0305409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s**2. Let a(y) be the third derivative of y**6\/20 + y**5\/12 - 21*y**2. Calculate 3*a(w) - 15*v(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 2:29 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -17*u**2 + 28*u + 1. What is w(3)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 9, q: 1, h: 1}. Give prob of picking 1 h and 1 j.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1842)\/(-4)*((-20)\/(-2) + -4). Suppose -24*q + w = -21*q. Is 2*(q\/2)\/3*5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 - 2*u**4 + u + 3*u**3 + u**2 + 0*u as f*u**4 + s*u**2 + x*u + z + q*u**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4012 and 85.\nAnswer: 20060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24950941 is divided by 14729?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2709607, -2709608, -2709609, -2709610?\nAnswer: -2709611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 297 = -113. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 16. Suppose 16 = 8*x - 4*x. Suppose 2*l - 2 = -b + 3*b, -1 = -l - x*b. Solve y = 3*o - l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664010 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*t - 324*t - 1011*t = -57440 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 2*w**3 - 2*w**3)*(22*w - 16*w + 9*w) + ((2 - 1 + 1)*(-3 + 2*w + 3) + w + 1 - 1)*(w**3 + 3*w**3 - 3*w**3).\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 1371 = 7*x - k - 1497, -2*x + 2*k + 60 = 0 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -461 + 1406 = 5*a. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201 + 204. Solve m*h = -5*r + 23 - 8, 3*h + 2*r = 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 2*i + 3*f, -5*i + 2*i - 5*f = 159. Let v = i + 50. Suppose v*t - 9 = 47. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026568133 rounded to four dps?\nAnswer: 0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.976495 to 1 dp.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1090 + -1090. Solve 31*u - 29*u + 6 = w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2 + 6*b - 1 + 0 - 3. Let x be z(4). Suppose -x - 87 = -3*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113234 - -1020132?\nAnswer: 1133421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s + 135 = -3*y, -1216*y - 3*s = 1211*y - 2425*y + 15 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/27104 and -1\/121.\nAnswer: 27104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*r - 346 + 353, -3*h - 5*r + 25 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 51*s - 55*s. Let c be (-5)\/(4\/(s - 0)). Put 3, 4, c, 1 in ascending order.\nAnswer: c, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 8:49 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51077, -50890, -50621, -50264, -49813, -49262, -48605?\nAnswer: -47836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 514289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 88921.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.96825 * -58.\nAnswer: 3710.1585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-5) - 1128\/(-40). Let q = -29 + d. Solve -3*t = -3*z + z + 8, -4*z - 8 = q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -182, -410, -638, -866, -1094, -1322?\n\"Answer: -228*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10133*z - 10135*z - 10131*z + 30400*z + 256*z**2.\nAnswer: 256*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -629 - -1401. What are the prime factors of t?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1403388, 5613850, 12631286, 22455696, 35087080, 50525438?\nAnswer: 68770770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 5:07 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18511330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t - 4*t + (0*t - 2*t + 0*t)*(7 - 3 - 2) + 3*t - 2*t + 0*t + t - t - 2*t + 3*t - 6*t + 2*t + 7*t - 2*t - 2*t)*(-3*t**4 - 4*t**3 + 4*t**3).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -422, -619, -816?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {t: 7, z: 3, r: 3, k: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*t + 8*t. Let h = 26 + t. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12076 - -11927.66. Let q = v - -0.34. Let p = 141.9 + q. Round p to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**3 - 725*g**2 - 28000*g - 122500 = 0.\nAnswer: -70, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/4 - 63*m**3\/2 - 918*m**2 + 3352*m. Let i(d) = 0. What is d?\nAnswer: -51, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 x, and 2 d when four letters picked without replacement from ttmxttmddjxdjujmuj.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 2, 142, 43, -4.\nAnswer: -5, -4, 2, 5, 43, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 305 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 20*s - 9. Let x be f(6). Suppose -6*z + 9 = -x*z. Suppose -2*w + 7*w = -2*r + 566, 0 = z*w + 4*r - 334. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*v = -6, 2*v - 5 = 2*h + 11. Let b(u) be the third derivative of -u**4\/24 - u**3 - 3*u**2. What is b(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 - 14866 + 14866 - 2*a. Let c(u) = -7*u**2 + 3*u. Determine -6*c(x) - 10*r(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6. Let d(p) = 2*p - 7. Calculate -4*d(v) + 5*f(v).\nAnswer: -8*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261687 is divided by 1504.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*j**3 + 512 - 673*j**3 - 386*j**3 - 422*j**3 + 1078 with respect to j.\nAnswer: -4497*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 10*m**2 - 11*m + 6. Let f be d(6). Let u = -82 + f. Solve 0 = -u*k - 8 - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43229, -74797, -106363, -137927, -169489, -201049, -232607?\n\"Answer: z**2 - 31571*z - 11659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 + 28*n**2 + 2*n. Let i be m(10). Suppose -2*r + 4*r + 5*f + 115 = 0, 1 = f. Let j = r - i. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27002 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*c + 1 - 1)*(0 + 1 + 0) + (c + c + 0*c)*(28 - 6 + 1) + 3*c - 3*c + 3*c + 6*c - 2*c + 2*c)*(c + 2*c - 4*c) as o*c**2 + h*c + r and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 11, -4 in decreasing order.\nAnswer: 11, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 145 = -s. Let y = -11 + s. Suppose -5*i - 5*r = -630, -5*i + 17*r + 630 = 20*r. What is the highest common factor of y and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*f**3*o**2 + 2115*f**2*o**2 - 51*o**2 - 3*o + 23 wrt f?\nAnswer: 24*f**2*o**2 + 4230*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486019 is divided by 48600?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*b + 17, -5*b - 8586 = 3*x - 8565 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*s + 17, 3*s - 29 = -5*l - 0*s. Suppose 0*b - 3*b - 40 = -5*w, -4*b = 0. Suppose 3*y = l*y - w. Solve -2*z + 8 = y*f - f, 8 = 3*f + 2*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 26*p**3 - 221*p**2 - 2. Let k(s) = -25*s**3 - 2*s + 2. Determine -k(c) - u(c).\nAnswer: -c**3 + 221*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**2 - 4*z - 13. Let u(i) = i**2 - i - 1. Let p(m) = -b(m) - 5*u(m). Is 11 a factor of p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -26*f + 29*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.025 in -0.3, -2, 0.404, 3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 8*t - 2. Let v be 1\/((-1)\/(-3)) - -2. Calculate j(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -16 - ((-6 - -4) + (12 + 0 - -6))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18868937 and 1.\nAnswer: 18868937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 - 24*x - 110)*((2*x - 4*x + 4*x)*(0 + 3 - 2) + 3 - 3 + x + (3*x - 6*x + 2*x)*(-5 + 3 + 0))*(-x**3 + x**3 + 2*x**3).\nAnswer: -240*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 1, u: 5, i: 6}. Give prob of picking 1 k and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**8\/13440 + w**7\/1260 + w**6\/288 - 13*w**4\/12 - w**2\/2 - 11*w. Let x(f) be the third derivative of a(f). Factor x(r).\nAnswer: -r*(r - 5)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + -1222200?\nAnswer: -1221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/30*-2)\/(16\/10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7200841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 522\/(-116)*(-4)\/9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3626 and 745552738.\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520 and 1573960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -15. Let d = j + 5. Let s(y) = 21*y - 4. What is the tens digit of s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 12. Are -2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/6 - 11*h**2\/3 + 67*h\/6 + 15 = 0 for h.\nAnswer: -1, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, 3, -1 in ascending order.\nAnswer: -17, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 19255*w**2 + 15300120*w - 6486212880.\nAnswer: 5*(w - 301)*(w + 2076)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*t + 28*t - 147. Calculate the remainder when t is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16889 - -563217.1356\nAnswer: 580106.1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1668*n - 19246 + 5902 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7588*m**2 + 1358*m**2 - 23051*m - 23044*m + 46095*m to the form q*m**2 + i*m + b and give q.\nAnswer: -6230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0*w - 46\/7*w**4 + 0 + 52\/7*w**3 - 2\/7*w**5 + 96\/7*w**2 = 0.\nAnswer: -24, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**15*m)\/m**(-3\/5) assuming m is positive.\nAnswer: m**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3, -3983 = 2*r - 5*x + 14642. Round r to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f**4 - 2*f**2 + 649*f**3 - 649*f**3 wrt f.\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from {x: 4, q: 7, v: 4, j: 3, c: 1}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Let o(f) be the third derivative of 16*f**2 + 0*f**3 + 7\/24*f**4 + 0 + 0*f. Determine o(u(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2*c**(-4)*c**(-1\/2)*c**(-2) assuming c is positive.\nAnswer: c**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -310, -3 in descending order.\nAnswer: 5, -2, -3, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 1. Let i be j(4). Let n = -1 - -1. Suppose 4*z + 44 = 5*a, -5*a + 2*a - i*z + 19 = n. Solve c = -h + 2, 4*h - c + a = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 14*n**2 + 12*n + 1. Let g be y(-13). Solve 3*f - 5 = 2*o, -o + g = -4*o - 2*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6143 - 647. Suppose w + 6585 = 5*a, 4*w + 1568 = -3*a + z. List the prime factors of a.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42142 - -1?\nAnswer: 42143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -469*p - 24. Is f(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:26 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13756932467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26887550*w**4 - 277*w**2 + 2125*w - 6 wrt w?\nAnswer: -645301200*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -96549 equal to 2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 2366637.\nAnswer: 7099911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157362 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88.113 and 8?\nAnswer: -704.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 167, -0.2161, 0.5?\nAnswer: -0.2161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0106155682 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 809 + -800. What is the least common multiple of 281 and d?\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -151?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 20. Let g be l(17). Solve -g*z + 4*d + 8 = 3, 2*z = d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132670579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*a**3 + 13*a**3 - a**2 - 2 + 3*a**3 + 3*a**2 - 7*a wrt a.\nAnswer: 228*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1770038 - -209.9.\nAnswer: -1769828.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**2 + 12*i - 13. Let u(d) = -d**2 + 19*d - 5. Let h(q) = q**2 - 9*q + 3. Let w(x) = -7*h(x) - 3*u(x). Let m(g) = -5*w(g) + 3*y(g). Factor m(p).\nAnswer: -(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 29 - (0 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4615)\/(-429) - (-99)\/(-9))\/((-4)\/18)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4256377 (base 10) to base 13\nAnswer: -b60488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u. Let n(z) be the third derivative of z**6\/180 - z**3\/3 + 3*z**2. Let c(i) be the first derivative of n(i). What is c(x(p))?\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y. Suppose 19 = 5*z - 21. Let r(d) = -z*d + 28*d - 13*d - 6*d. Give r(h(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 15) to base 2.\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*q + 216, 2*q - 4 = -0*q. Let v = r + -72. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*b - 200 = 0, -2*a + 3*b - 8*b = -212. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1124133958 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/79920 and 41\/2723274?\nAnswer: 108930960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0*f**3 + 1\/6*f**4 + 0 - 2\/15*f**5 + 0*f**6 + 0*f + 4\/105*f**7 - 1\/84*f**8 - 11*f**2. Find l, given that n(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/18 + 20\/(-27)*-3. Suppose -2*u = -0*v - l*v + 28478, 3*v - 42709 = 5*u. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-6)\/(-8))*-4. Let n(g) = 3*g - 3. Calculate n(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2772\/110 - 14 - -4. Factor y*t - 336\/5*t**2 + 2\/5.\nAnswer: -2*(4*t - 1)*(42*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - v + 55, -2 = -4*v - 22. Calculate the remainder when 71 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkkkhxx. Give prob of picking 1 h and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gccf. What is prob of sequence gcf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43162*c**5 + 290*c**2 - 69*c wrt c?\nAnswer: -2589720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a + v = -1750277, 1050171 = 3*a - 3*v. Let q = 249055 - a. What is q rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2 - 4. Suppose u = -4*y + 83, -u = 2*y + j*u - 49. What is the smallest common multiple of 10 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 50*v**4 - 5 + 40*v**4 + 6 to d*v + a*v**3 + h*v**4 + n*v**2 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 479*z**2 - 33*z - 68. Is p(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*i - 1237 + 2608 + 3279 = 0 for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5.7 (b) -1\/8 (c) -43 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11301*i**5 - 22*i**3*x - 2*i*x - i - x + 697031 wrt i.\nAnswer: -226020*i**3 - 132*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 - 79*a**2 + 27*a + 1. Determine q(26).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -3, -8, 5, 0, 47 in decreasing order.\nAnswer: 78, 47, 5, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - 7 + 7)*(-17 - 2*y + 2 - 1).\nAnswer: 4*y**4 + 32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 + 5*b**2 - 8. Let a(f) = f**3 - f**2 + 1. What is 5*a(h) + o(h)?\nAnswer: h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 813 - 807. Solve -b = t - c, -7 = -b - 4*t + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -524? (a) 2 (b) -0.1 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21976\/1312*(-12)\/3.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:55 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1338 or -250491?\nAnswer: 1338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56287 + -56284. Let q = 4 + 1. Solve 3*i - 5 = -i - q*t, -i - f*t + 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 454*o - 24*o + 540*o + 145*o + 67*o in the form b + m*o and give m.\nAnswer: 1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(((-100)\/(-70))\/2) + (-424)\/40.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 6:11 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14067000 rounded to the nearest 100000?\nAnswer: -14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 7*o - 2*o. Suppose -5*y + 2056 + 3364 = o. What is y rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {j: 1, n: 1, d: 1, y: 2, w: 2, r: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m = 90. Calculate the smallest common multiple of 84 and m.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.059 and -44608 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 1543. Let l(t) = 17*t**2. What is l(v(p))?\nAnswer: 68*p**2 - 104924*p + 40474433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29648 is divided by 1234.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2. Let o(q) = 15*q**2 - 2*q. Let k(l) = -30*l**2 + 4*l. Let i(x) = 6*k(x) + 13*o(x). Calculate b(i(s)).\nAnswer: -225*s**4 + 60*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.4649 - -0.1049. Let a = 0.36 + c. Let j = -19.99999964 - a. Round j to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 - d76563?\nAnswer: -d76579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpmzpppmp. What is prob of picking 1 m, 1 p, and 1 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 = 4*h, -5*x - 3*h + 3 + 9 = 0. Let c be -5*(-2 + -2 + x). Solve -2*b = -3*i, -c*b - 17 + 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s - 2091 = -1363 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 21 = 21. Suppose -g + 12 = 3*g. Suppose -3*h - g = -o*h. Sort h, 1, -2.\nAnswer: -2, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(50)\/(sqrt(100)\/(sqrt(160) - sqrt(10))))**2.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 157, 12 in increasing order.\nAnswer: -7, 1, 12, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**3 + 1433*g**2 - 1433*g**2 - 3*g**3 + 3*g**3 + 26*g**3.\nAnswer: 43*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 111732689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845*l - 850*l + b = 105, -b = 2*l + 42 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**3 + 35*h**2 - h + 122. Determine r(6).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)\/sqrt(1100)*-5)\/(-6*sqrt(8)\/(sqrt(32)\/sqrt(8))))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*d**5 + 3*d**5 - 4*d**5 + (3*d**4 - 4*d**4 + 0*d**4)*(2*d + 6*d - 4*d).\nAnswer: -19*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqqnnnj. What is prob of sequence qn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -158. Let j be 104\/(-3 - 222\/o). What is j rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 + 268446*t\/13 - 1879220\/13.\nAnswer: 2*(t - 7)*(t + 134230)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3691566 is divided by 761?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-1*(sqrt(156) + sqrt(156)*4) + sqrt(156))\/((sqrt(108)\/sqrt(3) + sqrt(36))\/sqrt(3)))*6)**2.\nAnswer: -720*sqrt(13) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 11 = x. Let k(o) = 3*o**2 - o + 2. Let z(h) = -3*h**2 + h - 1. Let v be z(1). Calculate the remainder when k(v) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 41. Suppose 2*s - 3 - 45 = -3*t, -4*s + 32 = 2*t. Let g be n(t). Which is the nearest to g? (a) 1 (b) 0.03 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 49*q**2 - 389*q - 123. What is the thousands digit of u(-49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2642?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10*j**2 + 183*j + 196. Give o(-12).\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57992869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 790*s**3 + 31125*s**2 + 12640*s - 499280.\nAnswer: 5*(s - 79)**2*(s - 4)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 418780872 by -4.\nAnswer: -104695218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 67063866 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -2.02. Sort -0.5, 0.2, f, 0.02 in descending order.\nAnswer: f, 0.2, 0.02, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aauaaaaaaua. Give prob of sequence au.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 - -60. Calculate the greatest common factor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, t: 2, b: 1}. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 0. Suppose -b*u + 3*k + 176 = -2*k, 2*u = 2*k + 112. Suppose r + u = 3*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 6. Let r(i) = -1. Let a(p) = b(p) - 2*r(p). Suppose 4*d - 5*o - 8 + 31 = 0, 2*d + 2*o = -16. Let y be a(d). Solve 2*h = 3*h + y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -28859.\nAnswer: -28859.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22742 is divided by 612?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 125281682151.\nAnswer: -125281682156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:42 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 425*p**3 + 132*p**2 wrt p.\nAnswer: 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17445.918 rounded to the nearest 100?\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -824.9792 + 825. Let y = o - -0.0792. Which is the closest to -2\/7? (a) 0.2 (b) y (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1039464893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2\/17, 2\/99 in ascending order.\nAnswer: -2\/17, 0, 2\/99, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-9))**(-43)\/(b*b**3)**(-6\/13) assuming b is positive.\nAnswer: b**(-5566\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10344?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-308)\/(-21))\/11*(58425\/(-76))\/25.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p + 3. Let b be c(1). Find the second derivative of -156 - b*j**3 + 0*j**2 + 158 + j**2 + j wrt j.\nAnswer: -78*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161946 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4 - 2436*d**3 - 104641*d**2 + 1401024*d - 2364012 = 0. Calculate d.\nAnswer: -53, 2, 9, 2478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 15*b + 18*b = -1582, 0 = -4*b - 8. Solve 51*x - 88 = -p for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**3 + 25*t**3 + 11*t**3.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1\/4, 124, 0.1, 3, -14520?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3342434 (base 7) to base 10\nAnswer: -413879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (16\/120)\/(2\/10*6)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**13\/f**(-2\/21))**(-41))**(-2\/29))**(-13) assuming f is positive.\nAnswer: f**(-293150\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12881356*i**3 - 3685820*i**2 - 2 wrt i.\nAnswer: 77288136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**4*y + 1278*h**4 + h**3*y + 3*h**3 + 6*h**2*y + 279*h**2 + 24*h + 2 wrt h?\nAnswer: 72*h*y + 30672*h + 6*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**3 - v**2 + v**2 + (-2*v + 0 + 0)*(5*v**2 - 5*v**2 + 3*v**2) + 0 - v**3 + 0)*(4 + 5 - v + 3*v) as f*v**4 + m*v**2 + b + c*v + h*v**3 and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**3 - 2*v**2 - 6*v - 3. Let a be (272\/40 + -7)*5. Determine r(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - a + 4*a - 363, 3*s = 3*a + 339. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 3*g - g)*(-g + g + g)*(-26*g + 19*g - 26*g) as v + s*g**3 + y*g + x*g**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -459, -0.5, 40, 0.5, -0.4 in ascending order.\nAnswer: -459, -0.5, -0.4, 0.5, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 14*l - 8. Let q be p(-5). Let a(h) = -12*h**2 - 1. Let i be a(-1). Let f = q + i. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 381490, 372679, 363856, 355015, 346150, 337255, 328324, 319351?\n\"Answer: -z**3 - 8804*z + 390295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1691924741.\nAnswer: 13, 43, 232823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6ca (base 16) to base 14.\nAnswer: 8c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p + d - 10, -2*p = -4*d + 4. Suppose 10 - 29 = -o + 5*r, -2*o = -p*r - 22. Solve 4*c + 3*h = -3 + 4, -o = -3*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**2*w*w)\/w*w**4*(w**(-2\/15)*w)\/w**(-2\/3))**(-22) assuming w is positive.\nAnswer: w**(-3476\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -8 + 0*j + 0*j**4 + 0*j**2 + 2\/25*j**5 - 2\/15*j**3. Factor i(l).\nAnswer: 2*l**2*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**3 + h**3 - 2*h**3)*(240*h - 125*h - 158*h) to v*h**4 + q*h + d*h**2 + a + s*h**3 and give v.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 11, 49, 123, 245, 427, 681?\n\"Answer: 2*i**3 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2972021?\nAnswer: 13, 228617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -104, -179, -312, -503?\n\"Answer: -29*v**2 + 12*v - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 22 = 62. What is the greatest common factor of 168 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 + 2486*k**2 - 63622*k + 411346 = 0. What is k?\nAnswer: 13, 1217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 628785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15524, 15645, 15846, 16127, 16488, 16929, 17450?\n\"Answer: 40*b**2 + b + 15483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 2 + 8\/(-4). Solve a = -5*p + 24 + 5, -40 = -4*p - i*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 0.4. Let q = w - 2.32. Let d be 10\/(-14)*4\/10. What is the nearest to d in q, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 829936*t + 43049610256.\nAnswer: 4*(t - 103742)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297797053 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 2)*(-26 - 47*m - 40*m + 84*m).\nAnswer: 24*m + 208","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3248.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 6*k + 1. Let d be j(-6). Let b(m) = 2*m. Let o be b(1). Is o bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 460\/(-7) - (-4)\/(-14). Let i = k + 69. List the prime factors of 620\/(1 + i) - 4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -56, 0, -26 in descending order.\nAnswer: 5, 0, -2, -26, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44269615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/5 - 282*y\/5 - 556\/5 = 0. Calculate y.\nAnswer: -139, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 28. Let x(w) = w**3 - 7*w**2 - 3*w - 1. Let g be x(7). Let u = g + f. Solve -u = 3*z + 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3\/4 - 46563*w**2\/4 + 45174840*w - 45163200 = 0.\nAnswer: 1, 7760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 2714?\nAnswer: 2714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5\/834, -5\/9 in decreasing order.\nAnswer: 5\/834, -5\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-396)\/(-11)*((-14)\/8)\/(-7). Let u = -51 - -84. Suppose 0 = -3*p + u + a. Calculate the least common multiple of 6 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/2 (b) -1\/57 (c) 0.13 (d) -2 (e) 0.4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -174509 + -691?\nAnswer: -17509a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99877037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + 2*b**2 + b + 4. Let w(i) = -570*i**3 + 5*i**2 + i + 7. Calculate -n(t) + w(t).\nAnswer: -572*t**3 + 3*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 20 = -23. Suppose 0 = -5*m + 2*x - 153 + 1509, r*m = -x + 807. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7798 + 116942\/15. Does r = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 9, 3*s - 3*h - 17 - 25 = 0. Suppose 67 = 10*t + s. Solve 0 + 5 = y, 2*c - 33 = -t*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -281 - -142. Let j = 59 - q. Calculate the highest common factor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.157 + 0.157. What is the second biggest value in -0.3, -0.1, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 972 - 917. Calculate the remainder when 123 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1*5)\/(-1))\/1. Let s be (-3)\/(-3 - (-1 - 1)). Let l be 2\/s - (-4)\/3. Solve -4*h = -9*k + 4*k - i, l*h - k = 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - k + 5 = -38, 2*a = k - 16. Let l be (-46)\/6 + (-2)\/(-3). Let c = l - a. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**5\/180 + q**4\/36 - q**2\/2 + 1. Let u(r) be the second derivative of g(r). Factor u(i).\nAnswer: -i*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + j - 1 = 4*j, -2*a = 2*j. Let i(h) = h**2 - 3*h**2 - 15*h**3 + 2*h**2 - h**2 + 1. Give i(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5570180.\nAnswer: 2, 5, 7, 11, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 256 - -1 - (-7 - -10). Let t be 2\/((8\/(-86))\/(-2)). Suppose 0 = -k + i - t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Let o(w) = -w. Let c(f) = -4*f - 2. Let n(s) = -c(s) + 3*o(s). Let l be n(4). Calculate the highest common factor of p and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*m**2 + 1 - 1)*(-3 + 7 - 1)*(-3*m**3 + m**3 + m**3).\nAnswer: 6*m**5 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55466041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 w when four letters picked without replacement from {w: 4, n: 6}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -147, 6, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/9 - 2512*d**3\/9 - 1067020*d**2\/3 = 0. What is d?\nAnswer: -930, 0, 3442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**3 - 97*q**2 - 42*q - 52. Let l be m(-19). Put l, 3, 1 in decreasing order.\nAnswer: l, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 2*s**2 - 2*s + 1. Let b be p(3). Solve r + b*r - 25 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -716, -1109, -1520, -1955, -2420?\nAnswer: -2921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**14)*w\/((w\/(w*w\/w**(2\/9)))\/w) assuming w is positive.\nAnswer: w**(151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**5\/120 + f**4\/36 + 10*f. Find i such that t(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 927894 divided by -6\nAnswer: -154649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.63 and -275.4.\nAnswer: 448.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = -2*j, -2*t = -2*j + 4. What is the second derivative of j*i - 4*i**5 + i**5 + i**5 + i wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 195253, 195251, 195239, 195211, 195161?\n\"Answer: -s**3 + s**2 + 2*s + 195251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(92 - 90).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.07, 4, -0.553?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292 + -280. Let g(r) = 2*r - 4. What is the remainder when t is divided by g(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*6\/(-60)*5. What is the third derivative of 6*r**5 + 129*r**2 + 2 - 4*r**3 + 0*r**3 - 114*r**y wrt r?\nAnswer: 360*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 + 2*z + 7*z**4 + 4*z**4 + 27*z**4 - 2*z**2 - z**4 + 1 as c*z**2 + p + j*z**3 + d*z + v*z**4 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let j be ((-3)\/(-6)*1)\/(19*13\/1482). Solve 4*p - 4 = j*s, -6*s = -o*p - 4*s + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let w(t) = -17*t**2 + 6*t + 7. Let v(h) = 10*h**2 - h - 1. Let n(a) = -6*v(a) - w(a). Give n(m(y)).\nAnswer: -43*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o + 6 = 0, 5*o = 5*k - 11645. Let u = k - 7039\/3. Calculate the common denominator of -45\/8 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12323 + 1121120220?\nAnswer: 1121101231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m*y**2 - m*y + 83*m - 5655*y**2 - 6*y - 11 wrt y?\nAnswer: -6*m - 11310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 10 - 2 + (6 - 4 + 0)*(3 - 2 + 0))*(-158*i + 956 - 956)*(-2*i - 3 + 0*i + 5) in the form q*i**2 + t + b*i and give q.\nAnswer: 4740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4 - 2. Suppose 48 = 2*g - 4*r, -3*g + 3 = 5*r - 36. What is the lowest common multiple of d and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1529.28465 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 7*b**2 - 28*b + 15. Give q(12).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*f + 417 + 101 = 5*q, -q + 134*f - 6 = 135*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 28*z - 1485 = 0. What is the remainder when z is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3, 0.37.\nAnswer: -3, 0.37, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7435, 7436, 7447, 7474, 7523?\nAnswer: 7600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131321 is divided by 1312?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -5 (c) 1\/125 (d) 6\/67 (e) 5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 3*w**2 - 4*w + 5. Let m be o(-4). Suppose 360 = m*q - 60. Suppose -3 = 3*p, -3*p - q = -3*h + 150. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25\/41, 6, 1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**7\/630 - b**6\/60 - b**5\/12 + 7*b**2. Let m(s) be the third derivative of n(s). Differentiate m(l) with respect to l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205264 + 7*b - 205280 + 410544 + 7*b - 12*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -1\/60*w**5 - 1\/24*w**4 + 1\/3*w**3 - 67*w**2 + 0 + 0*w. Let o(i) = -2*i**2 - 2*i + 4. What is 3*o(f) - 5*s(f)?\nAnswer: -f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 7331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 42. Let n be q(0). Let d(f) = 37*f**2 - 7*f - n*f**2 + 3*f - 5. Let u(b) = -9*b**2 - 7*b - 9. What is -11*d(h) + 6*u(h)?\nAnswer: h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18792 divided by -6264?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w - 10. Let n be x(3). Let u = n + 34. Suppose 3*p + 2*p - 3*g = 368, p + 2*g - 71 = u. What are the prime factors of p?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -49.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/17))**(3\/5)\/(q\/((q\/((q*q\/(q*q**(-1\/15)))\/q)*q*q*q)\/q))**5)**22 assuming q is positive.\nAnswer: q**(54626\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**4 - 205*q**3 - 2256*q**2 + 11645*q - 12538. Let m(f) = 4*f**4 + 616*f**3 + 6768*f**2 - 34936*f + 37616. Let d(a) = 3*m(a) + 8*o(a). Factor d(b).\nAnswer: 4*(b - 2)**2*(b + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3510?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 - 32*n + 13. Let s(x) be the first derivative of x**3 + 31*x**2 - 25*x - 35. Let u(g) = -7*i(g) - 3*s(g). Factor u(j).\nAnswer: (j + 8)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/2 + 7*y**4 - 283*y**3\/2 - 412*y**2 + 9546*y - 24840 = 0.\nAnswer: -23, -10, 4, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*p - 68264 = -10*p - 134*p. Calculate the smallest common multiple of p and 42.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -19 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -75*h + 8*h**2 - 2*h**2 - 453 + 414. Let a be b(13). Find s such that a*s**2 - 2\/7 - 1\/7*s**3 + 3\/7*s = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*2*((-44)\/(-12) + -3). Let i be (-2)\/(248\/(-60) + m). Solve 0 = 7*l - 2*l + i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7354, 14768, 22182, 29596, 37010?\nAnswer: 44424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by 107661.\nAnswer: -84\/35887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*h**2 + 43*h**2 + 18*h**2)*(-4*h**2 - 7*h**2 + 5*h**2).\nAnswer: -270*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1230240 + 12?\nAnswer: -1230225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -281. Let r = g + 1588. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 - 362 = 120*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7.574 * -0.25\nAnswer: 1.8935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*p - 169 + 48, -3*n + 23*p - 302 = -23*p + 54*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674271?\nAnswer: 3, 13, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 - 6*a - 19. Let r be d(0). Let q(k) = -k**3 - 19*k**2 - 9*k + 40. Is q(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/43 + -752\/129. Which is greater: a or -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/5 + 248*1 + -1. Suppose 329 + q = 3*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42443 + 18093 = 28*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28178 = 28177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 + 24*x**4 - 597706*x**3 - 15001*x + 2562.\nAnswer: 40*x**3 + 288*x**2 - 3586236*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/7 (b) 5 (c) -5276 (d) -5 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 48. Let z be s(-22). Put 1, -3, z in descending order.\nAnswer: z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 148*c + 2005. Calculate g(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121314283 or -121314277?\nAnswer: -121314283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*x = 74, 6*c - c - 2*x - 149 = 0. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*i = -171*i - 2*o - 21, -2*i + 48 = -2*o - 3*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2 + 5*o - 5. Let v(i) = -i + 1. Let z(w) = -5*v(w) - y(w). Let u(h) = 4*h + 5. Let d(r) = 6*r + 7. Let m(j) = 5*d(j) - 7*u(j). Give z(m(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z - 48 - 132 = 25*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 1:47 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-6))\/((-574)\/(-1476))*(-4)\/(-102)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 41 = -50*p. Let s be ((-34)\/(-4))\/((-5)\/10). Let c be 2\/6 + s\/(-3). Solve p*m = -m - c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*1148\/(-1288)*8\/12.\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3716, 3704, 3684, 3656, 3620, 3576, 3524?\nAnswer: 3464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 11.2. Let y = 0.6 - z. Let m be (-10)\/3 + 112\/84. What is the third biggest value in y, m, -1, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 807 divided by 7925.\nAnswer: 807\/7925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kookoko. Give prob of picking 4 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10074 and 79\/94944.\nAnswer: 6930912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c - 3. Let j be h(3). Let y = j - 27. Let z be (3\/(-6))\/(2\/y). Solve q = 5*s - 0*s - 21, z*q - 2*s = -11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (-4188)\/(-252))*9\/(-4).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 49589*p**2 + 614742435*p + 614792025.\nAnswer: (p - 24795)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1910 = 4*o, 0*x = x - 1. Suppose 2*i = 4*m + 929 + 97, -o = -i - 5*m. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayaayyiydyyaiaadpay. Give prob of picking 1 a and 1 y.\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + sqrt(153)*-4)*-2 - (sqrt(153) - (sqrt(153) - sqrt(153)*-3)*-4))\/(3*sqrt(99)\/(sqrt(11) + sqrt(88)\/sqrt(8)*6)).\nAnswer: -77*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*(j**6\/j)\/j)\/j*j*j**(-2\/9)\/j*j\/j**3*j\/(j*j\/(j*j**(-2\/3)\/j)))\/(j\/(j\/j**3)*j*j*j\/j**(-4\/7))**4 assuming j is positive.\nAnswer: j**(-1523\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*h = -17, -2*d - 4*d - 3*h + 69 = 0. Calculate the greatest common factor of d and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -163 and -819\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**3 + p**2 + 2*p - 3. Is q(-2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*c - 19 = 0, 0 = 4*c - 2*c - 2. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -61. What is the derivative of 24*q**j - 10 + 38 - 10 wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(5\/(-20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 510635, 2042672, 4596067, 8170820?\n\"Answer: 510679*l**2 - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 4, c: 15}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 + 51*p**2 + 48*p = 0. What is p?\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2634 + -2622. Solve 0 = 22*u - 10*u + f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -21*k + 147. Determine l(2).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*f + 23, -f - 2*y = 4*f - 39. Do f and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 12, -5 in increasing order.\nAnswer: -5, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*v - 2, -v - 3*t + 16 - 2 = 0. Let s = v + -2. Solve -2*c - 4 = -s*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*y + 4*y - 5118, 8 = -4*w. Calculate the remainder when y is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 16*f - 3. What is y(9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.831506 less than -19689?\nAnswer: -20506.831506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -63, -9, 3 in descending order.\nAnswer: 11, 3, -9, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 1234*z**3 - 200*z**2 - 4150. Find the second derivative of q(h) wrt h.\nAnswer: 7404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -6\/13, -133755?\nAnswer: -133755","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 357673\/343320 + -2\/14305. Calculate the common denominator of t and 113\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051373 to four decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/47? (a) 1 (b) -82 (c) 1\/5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4420725288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 3*i**2 + 2*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*x - 61*x - 16. Put 0, 4, x in descending order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 45854.\nAnswer: 183416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121 - 1232433033?\nAnswer: -1232432512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007329562 to 7 decimal places.\nAnswer: -0.000733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 23 + 2*k**4 + k - k**3 - k**2 + 75 + 5*k**2 - 41 in the form p*k**4 + g*k + b*k**3 + l + o*k**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11446*(-337)\/261512)\/((6\/(-3))\/(-16))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.8 (b) 3 (c) -0.03 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3032 - -3032. Is b <= 4\/667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(sqrt(539) + 3) - ((6*-4*sqrt(11) + 5)*-3)**2.\nAnswer: -57237 + 2195*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*c**3 - 718*c**3 + 405*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -323 - -648. Suppose -y = -6*a + a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01517043 to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10080 = 12*w. Does 72 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(10\/13))**(-3\/7) assuming s is positive.\nAnswer: s**(-30\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 - 4. Let f = i + 0.3. Suppose 0 = -d - 3*d - 12. Which is the second biggest value? (a) d (b) f (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2 = r + 6*b, 0 = 5*b. What is the derivative of 0 + 0*m + 1 + r*m wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967649?\nAnswer: 233, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:45 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*j + 178 = 5, n + j - 193 = 0. Which is the smallest value? (a) n (b) -0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from lwiilvrj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.902 + 0.098. Let r = p - 44. Let g = r - -11. What is the nearest to 0.1 in g, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -2085 - -2038. Which is the nearest to -0.1? (a) -7 (b) -1\/3 (c) -0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 22*c**2 - c - 2. Let d be s(-11). Suppose 0*a - 3 = -a. Suppose 0*h + a*h - d = 0. Solve 0*b = -b + h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205658126 + -1.2\nAnswer: 205658124.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -758159881 plus 128?\nAnswer: -758159753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -725, -1448, -2171, -2894, -3617, -4340?\n\"Answer: -723*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 1577 = -4*d + 1521, 70 = 2*d + 5*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 913795 to the power of 1\/2, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.62 + -0.586. Let a = -2.034 + d. What is the closest to 4 in -0.3, a, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -19*z + 24. Let w = 6 - z. Solve q = 1 + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78316, 78295, 78260, 78211, 78148?\n\"Answer: -7*l**2 + 78323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 0.11 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*r*y + 8*g**2*r + 2*g**2*y + 6*g*r*y + 3*g*y - 16*r*y - 2*r + 2*y wrt g?\nAnswer: -4*r*y + 16*r + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9537489 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/5 - 41*n\/5 + 42\/5 = 0. What is n?\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 6 = 2*f, 4*k + 973 = -0*k - 3*f + 936 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68163 is divided by 365?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -a79b92 (base 14) to base 16\nAnswer: -569494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162 + 151. List the prime factors of (-1546)\/(-2) + m + 7.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2 + 68*w = 0?\nAnswer: -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 equal to -178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(sqrt(432)*-2*-2 - (sqrt(432) + 0)*4)**2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 274, 431, 588?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 2*p**2 + 25 + 23*p - 1\/4*p**4 - 2*p**3. Is b(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*a = -5*t + 10, t + 10 = 5*a. Find the first derivative of -2*q**3 + a*q**3 - 2 - 5*q**3 - 10 wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and 54?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a29b52 (base 14) in base 15?\nAnswer: 734466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032688474?\nAnswer: 2, 79, 6536003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 14*o**3\/3 - 8*o**2 - 5*o. Let p be v(13). Suppose -128 = 4*h - p. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4\/4 + a**2\/2 + 3*a - 6. Let u be i(0). Solve u*x + 20 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5278)\/294 + 17 + (-6)\/(-7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 12*q + 47 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -238, -423, -608, -793, -978, -1163?\n\"Answer: -185*m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 14*c + 175. Let r = c + -37. Sort 5, r, 35.\nAnswer: r, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, m: 1, u: 1, s: 2, j: 2}. What is prob of sequence ss?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 429\/132 + 6\/((2 + -4)*-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r**2 - 16*r + 6. Let l(m) = m**2 + m - 1. Let q(i) = -6*l(i) - s(i). Factor q(o).\nAnswer: -5*o*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 3*p + 30. Let h be o(9). Suppose -5*t + 3 = -5*i + i, -i = 5*t - 18. Suppose -i*n = 2*n - h. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -511084.4?\nAnswer: -511084.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 7*q + 13*q. Let u(o) = -o. Let r(y) = 5*y. Let w(c) = 2*r(c) + 14*u(c). Calculate l(w(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 990 and 28736334?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 5*p + 2. Let r be j(-5). Suppose -r*d - 25 = -d. Let t = -6 - d. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4584 is divided by ((11 + 680\/(-56))*1337)\/((-2)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523113.3 plus 0.2?\nAnswer: 2523113.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 440 - 282*o**4 - 4*o**2 - 179*o + 568*o - 214*o - 179*o wrt o.\nAnswer: -3384*o**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/98 and 47\/714798.\nAnswer: 5003586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - 43)*(0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206124*t**4 + 101*t + 439 wrt t?\nAnswer: 2473488*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -5*i**4\/2 + 14*i**3\/3 + 8*i**2 - 8*i + 8. Factor x(v).\nAnswer: -2*(v - 2)*(v + 1)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5199*r + 5451*r + 9584*r - 4427*r.\nAnswer: 15807*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 474*r**3 + r**2 + 2*r - 2. Calculate b(-1).\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from kkgxxxkkkkkxxxktk?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**22)**30)**(10\/11) assuming i is positive.\nAnswer: i**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtk when three letters picked without replacement from {t: 11, x: 3, k: 1}.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 + 11*f - 8)*(3*f**2 + 3*f**4 - 3*f**2).\nAnswer: 33*f**5 + 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2.3. Let o = y - 0.3. Let z = -0.4 - o. Which is the third biggest value? (a) -2\/7 (b) 3\/8 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188530 and 55080.\nAnswer: 61083720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*o - 4*o - 12, -5*o - 3*f = -55. Let l(c) = -4*c + 34. Let k be l(8). Suppose -z - o = -4*i, k = z - 2. Solve i + 9 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1670749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -12*i**5\/35 + 87*i**4\/28 - 5*i**3 - 159*i**2\/14 + 45*i\/7 - 1067. Let v(n) = 0. Calculate n.\nAnswer: -1, 1\/4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -218 - 3?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -175192 greater than -175190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -16. Suppose -4*m = -i + c, -2*m - 19 = -4*i + 19. What is the smallest common multiple of i and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 10*a + 90 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-76)\/(-28) - (-6)\/21. Suppose 2*o - g*i = 213, -5*i - 9 = 16. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.466643 * 286.\nAnswer: -133.459898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -962272, -962614, -962956, -963298?\nAnswer: -963640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32835, 28182, 23529?\n\"Answer: -4653*r + 37488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 1040 - 3290. Round s to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 49.037. Let i = 0.091 - r. What is i rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50241 (base 6) to base 2.\nAnswer: -1100110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 29555*h - 14778*h + h**2 - 14777*h - h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*k + 21, 4 = -2*k + 3*w + 27. Let u = k - 5. Let x be (-204)\/(-288) - 1\/3. Which is the second smallest value? (a) 2 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*-14.2\nAnswer: 22.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1) + 1 + 5. What is the third derivative of -31*b**a + 35*b**2 + 34*b**5 - 5*b**2 + 1 wrt b?\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a2795 (base 13) to base 16\nAnswer: -471ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*w - 143*w - 85*w**2 + (20*w - 31*w + 31*w)*(2 - 2*w - 2) - 3*w**2 + 6*w**2 - 5*w**2 as t + p*w**2 + q*w and give p.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 2\/5, 25 in descending order.\nAnswer: 25, 2, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 21294?\nAnswer: 42588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 3*h**2 - 5*h**2)*(2 - 2 - h) + h**2 + 2*h**3 - h**2 + (-3*h + h + 3*h)*(55*h**2 - 39*h**2 + 317*h**2).\nAnswer: 336*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 12405*j**2 + 82590*j + 9896000.\nAnswer: 5*(j - 2474)*(j - 32)*(j + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-40))\/((-2)\/30)*(-170 - -169)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzorzo. What is prob of sequence rozz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752118089 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13023 + -13024.9. Let s = 0.1 + -0.7. Which is the biggest value? (a) p (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avaaaaaaaavaaav. Give prob of picking 1 v and 3 a.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 10) in base 14?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 3:51 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114340 - 1223?\nAnswer: 113114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 divided by -2?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.41 + -0.51. What is the closest to -0.1 in 6, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13507, -27008, -40507, -54004, -67499, -80992?\n\"Answer: t**2 - 13504*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -5. Let w be (-2 - 99\/x)*598. Let p = 30771 - w. What is p rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894152 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v + 9. What is the smallest common multiple of 1\/(-6) - (-1)\/(24\/100) and f(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44206 - -70459. What are the prime factors of q?\nAnswer: 3, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) + 3 + (-14)\/7. Factor -1\/5*b**2 + 0 - 2\/5*b + d*b**3.\nAnswer: b*(b - 1)*(3*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -850076*j**5*k + 9*j - 5221*k wrt j.\nAnswer: -17001520*j**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2816 and 521345.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7987 and 33271?\nAnswer: 5423173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208 + -82. Suppose -5*q + d = -119. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -150 less than -631\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 - 12*o**3 + 15*o**3 - 13*o**2.\nAnswer: 13*o**3 - 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21715 is divided by 21641.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 1\/4 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7797892158.\nAnswer: 2, 3, 7, 691, 89563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4)*i*i*(i*i*i**(-3\/10)\/i)\/i)**(2\/45))**3)**(3\/5) assuming i is positive.\nAnswer: i**(-23\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163963391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82807 and 15796653.\nAnswer: 4871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2101\/5 + 421. Let 0 + 0*z + 4\/5*z**3 + 4\/5*z**4 - 4\/5*z**2 - y*z**5 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*t + 3*s, -7*t - 3*s - 18 = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*h**2 - 180*h**2 - 165*h**2 + 500*h**2.\nAnswer: -47*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-260) + 9\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**3\/3 - 5*j**2\/2 - 7*j. Let l(v) = -v + 7. Let n be l(5). Let d(t) = 0 - n + 0*t - t + 4. What is -7*d(c) - 3*k(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -916, -963, -1006, -1045, -1080, -1111, -1138?\nAnswer: -1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544666667?\nAnswer: 83, 113, 58073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11132242 + 10?\nAnswer: -11132232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499150602?\nAnswer: 2, 3, 27730589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 354 - -330. Is q a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -8079.\nAnswer: -17\/8079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**2 + 13*a**2 - 8*a**2)*(4*a + a - 3*a).\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*19\/(-1)*(-2476)\/(-1238).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306604 (base 9) to base 11.\nAnswer: -114825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 0 - 53622*v + 0 + 53613*v. Let h(l) = 711*l. Determine h(j(p)).\nAnswer: -6399*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0209514 and 6.80092.\nAnswer: 6.7799686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31333013 (base 4) to base 2\nAnswer: -1101111111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/70)\/(1\/(-31547)). Let p = b + -3167. What is the common denominator of 52\/11 and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-14\/5)\/(v*v**34)*v**(-37)*v**(10\/13) assuming v is positive.\nAnswer: v**(-4812\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 1\/62 (b) 1\/1653 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (273\/(-14) + (52\/(-16) - -4))*48\/(-36)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:10 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 178 = 3*m + 194, 2*l = 2*m + 186. Suppose -4*a + 7*a = 9. Suppose -3*v - l = -a*y, -5*y = -4*v + 5*v - 125. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(26\/7)\/a*a**(-4))\/(a\/a**(4\/17)*a*a*a\/((((a*(a**(1\/21)*a)\/a*a)\/a)\/a)\/a)*a) assuming a is positive.\nAnswer: a**(-2500\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20827 (base 9) in base 8?\nAnswer: -32743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310441851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98940 is divided by 88?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3532720292\/22747809 + -7\/154747. Let t = m - 1087\/7. Let y = t + 125\/1617. Calculate the common denominator of 79\/2 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61739157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 7772 = -15*b. What is the greatest common divisor of 737 and b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555634639?\nAnswer: 7, 3559, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 + 192. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 4*k - 2*k**2 + 0*k**2 + 0*k in the form t*k**2 + i*k + n and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 24\/(-5) - (81312\/(-440) + 53)?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 114, 3, -134, -297, -486, -701, -942?\n\"Answer: -13*j**2 - 72*j + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**2 - 4784030*z - 1144347152045 = 0 for z.\nAnswer: -478403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21376, 42748, 64108, 85450, 106768?\n\"Answer: -y**3 + 21379*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/77*1 + 12\/(-42)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f + 0 - 1\/30*f**5 - 9*f**2 + 1\/15*f**6 + 0*f**4 + 0*f**3. What is the third derivative of l(y) wrt y?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, l: 2, b: 4, n: 1}. What is prob of sequence xl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*z + 675*z + 870 = 1953*z - 659*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0884221 rounded to 3 decimal places?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16006 - 2993108\/187. Find the common denominator of q and -107\/136.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let g(q) be the third derivative of 0*q + 0 + 0*q**3 + 0*q**4 - 4*q**2 + 1\/30*q**5. Determine x(g(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntkc when four letters picked without replacement from {t: 1, n: 2, k: 2, c: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4268*q - 12807*q + 4276*q + 4267*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzuu when four letters picked without replacement from {u: 14, z: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*((l**(-13)\/l*l)\/l)\/l*l*l**19*(l\/(l*l**(-6\/17)))\/l**(-1\/8) assuming l is positive.\nAnswer: l**(881\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -99 + -2?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**3 + 35*l**2 + 244*l - 24. What is s(-8)?\nAnswer: -2808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -602 - -928. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1332 (base 6) to base 7\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0 + 0*o**2 + 2\/3*o**3 - 1\/3*o**4 + 9*o. Let c(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.35 - -1.15. Let j = -13\/33 - 2\/33. Sort j, h, -1\/4 in decreasing order.\nAnswer: h, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 92292 = 129208. What is m rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246353764 a multiple of 3076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147 + -246. Let y = v - -41. Let x = -58.00003 - y. What is x rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/7770 and 103\/12?\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)\/sqrt(3) - sqrt(40))\/sqrt(8) + 2)*2*4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 3*l + 7. Let u(b) = -b + 1. Let a(n) = k(n) - 5*u(n). Let q = -1 - -3. What is the smallest common multiple of a(q) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011110110 - 110010011?\nAnswer: -11111010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c*m**2 - c*m - c - 371*m**2 + 5*m - 1 wrt m.\nAnswer: 10*c - 742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - -13. Let h = g - 74. Calculate the remainder when (((-3)\/9)\/1)\/(h\/1818) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 - 2*u**3 + 3*u**3)*(-2*u + 2*u + u) - 2*u**4 + 3*u**4 - 2*u**4 + 2*u - 2*u - 4*u**2 + u**4 + (-8 - 1 - 3)*(-2*u + 2*u**4 + 2*u).\nAnswer: -25*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -32564884 divided by -964?\nAnswer: 33781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 993.489l?\nAnswer: 993489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:47 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. Suppose f*j = 2*j + 36. Suppose 3*g - j - 3 = 0. 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 the value of (-366 + 384 - (-1 - -14)) + -34 + 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18130*l*v**3 - 14903*l*v**2 wrt v?\nAnswer: -108780*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -2\/7, 5383, 149\/4, -2\/9, 1\/8, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 5203?\nAnswer: -5203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**6 - 420*j**5 - 454*j**2?\nAnswer: 120*j**3 - 25200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - 3 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8883 and -1094417.\nAnswer: -1085534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*n - 10 = 4*x, -282*x = -283*x - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5. Let j be 2*(249\/246 - k). Let n = 1351\/82 + j. Calculate the common denominator of -131\/12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, -1427800, -0.01, 0?\nAnswer: -1427800","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43257233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 59 = 2078. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 65 = -0*x. What is the third derivative of -14*t**2 + t**2 - 12*t**2 - x*t**3 - 17*t**3 wrt t?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5 - 192*f**4 - 405*f**3 + 582*f**2 + 804*f - 792 = 0.\nAnswer: -2, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -5.31959?\nAnswer: 5.31959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 0 - 12*c + 0*c**4 - 3*c**2 + 3\/2*c**3 - 3\/20*c**5. Factor d(u).\nAnswer: -3*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*k - 49. Let z = k + -47. Suppose 3*v + 6 = -5*i, -2*v = -7*v + z*i + 21. Solve 0 = 2*x - 2*h + 16, x + 14 + 4 = v*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1 + sqrt(175))*-4)**2.\nAnswer: 160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/120 - 2*x**5\/15 + x**4\/2 - 13*x**3\/6 - 8*x**2. Is l(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + (34 - 17) + 1 + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 11, 1.019, 385, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 8:10 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c + 38. Let h(w) = 5*w + 19. What is 5*h(n) - 3*q(n)?\nAnswer: -2*n - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 16*v**2 + 18*v + 36. Give z(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 - 15*x + 6. Let n(z) = 5*z**2 + 15*z - 7. Let u(g) = 4*c(g) + 3*n(g). Does 12 divide u(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3400\/1020)\/(2\/(-6)*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1417, 2997, 4577, 6157?\nAnswer: 7737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 39*x**3\/2 - 3*x. What is the units digit of w(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 987 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44504*m - 88247*m + 43743*m + 2*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8554818133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*d + 2330, -529 = 6*h + 2*d - 3333. What is the highest common factor of 207 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -12. Let v(o) = -o**2 - 5*o + 4. Let z be v(-6). Calculate the lowest common multiple of m and z\/(-7) - (-19)\/7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n + 3. Suppose 13*k - 12 = 10*k. Let u(w) = 9*w + 65. Let y be u(-6). Let d(g) = -29*g - 8. Calculate k*d(l) + y*p(l).\nAnswer: -6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8519993 is divided by 49?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*n**2 - 740*n + 1524.\nAnswer: -(n - 2)*(11*n + 762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 331404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 666475.74 seconds to hours.\nAnswer: 185.13215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*b - 2*b - 13 = 0, -2*b = 4. Let x be 2 + v + 1 + -3. Suppose -x*c + 11 = -7. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.3 - -14. Let y = -4 + n. What is the second biggest value in -5, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/2538 and 71\/66.\nAnswer: 27918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1215276 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260 - -8?\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*1*sqrt(242)*6)**2*5 + (sqrt(242) + -2 + sqrt(242) + -5 + -3 + (-4*sqrt(242) - sqrt(242)))**2).\nAnswer: -5456390 - 3300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169273442*h**2*t - 221800950*h*t - 2*h wrt h?\nAnswer: 338546884*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243433862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 2*g)*(7*g + 4*g - 5*g)*(-41*g**2 + 10*g**2 - 18*g**2).\nAnswer: 588*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 9. Calculate t(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 223*y**2 + 234*y - 3675. What is n(222)?\nAnswer: -1011","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821098 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**3 - 4*q**2 + 2*q + 3. Let d be t(-3). Let k = d - 44. Suppose 0 = -22*s + k*s - 309. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -25, -45, -65?\n\"Answer: -20*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15419511+242196\nAnswer: -15177315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14821.4 + -14821. What is the smallest value in 7.3, s, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 5494 = -2*n + 3*s, -11208 = -4*n + 7*s. Calculate the lowest common multiple of n and 1148.\nAnswer: 19516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*298.28.\nAnswer: 7158.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 32. Give c(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d. Let z(f) = f**3 + 3*f**2 + 4. Let y be z(-3). Let b = -2 + y. Let g(s) = s - s - 3*s + b*s. Calculate g(k(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**4 + 143*p**3*x - 92*p**2*x + p**2 wrt p.\nAnswer: 24*p + 858*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -914 by -1.\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-53)\/(-11) + (-8)\/(-44). Suppose -573 = -5*d - n, -3*n + a*n = 5*d - 564. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3481614*q**5 - 6*q**4 - 155676141*q wrt q?\nAnswer: 69632280*q**3 - 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9531 and 11459439?\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 - 1 = 0. Suppose -2*f - f = -z. Let a(r) = 3*r**2 - 3*r. Is 2 a factor of a(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27280 or -27279?\nAnswer: -27279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 34*z**2 + 46*z + 63. Let t be o(33). Suppose -2*f = -5*f + 3*r + t, -3*f = 3*r - 462. Calculate the lowest common multiple of 6 and f.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*m**4 - 1591639*m**3 - 859890937*m**2.\nAnswer: 2280*m - 9549834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(53*c**2 - 53*c**2 + 56*c**4 - 2*c + 2*c**4 + 2*c + (3*c + 0*c - c)*(2*c**3 - 6 + 6)).\nAnswer: 124*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 11 = h, 3*h = -g - h + 2. Suppose 0 = -3*o + 3 + 12. Suppose r = o*r - 72. Solve -w = -3*u + g, 2*u + 2*w = -2*u + r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = q + 4*t, 2*t = 2*q. Let v be 1\/((-951)\/(-237) + -2 + q). Which is smaller: v or 80?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 3) in base 10?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 + 52. Let g = s - -39. Suppose -504 - 135 = -g*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 10*j - 34. Let a be z(14). Let w be (-133)\/(-2)*(-1 + 3). Let s = w - a. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**6\/10 + 3*v**4\/4 - v. What is the third derivative of h(q) wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**3 + 133*f**2 + 20*f - 45. What is c(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.817380663 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(65)*2 + sqrt(65)))\/sqrt(5)*-4.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and -33\/276758.\nAnswer: 553516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -0.5, -29, 0.03, 2, -2.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 495*c**2 - 46*c - 71. Let p be g(-21). Suppose 0 = -4*m + 2*w - 219204, -25*m + p = -29*m - 5*w. Round m to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 32. Let l(u) = -3*u - 64. Give -7*c(a) - 4*l(a).\nAnswer: -2*a + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*h**5 - 23*h + h**5 + 31*h wrt h?\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 165 (b) 2\/39 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/274380 and 47\/1399338.\nAnswer: 13993380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2\/11, 2046?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -52. Let z(w) be the third derivative of 1\/12*w**4 + l - 3*w**2 - 1\/2*w**3 + 0*w. What is the first derivative of z(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/6)\/(u\/u**(-3))*u**(-4)*u*u**(-1\/2))**(-9\/5) assuming u is positive.\nAnswer: u**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212228*h**3*w**2 + 46*h**2*w**2 + 8534*h**2 wrt h?\nAnswer: -1273368*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2146*n - 4290*n + 2144*n - 1 - 13*n**2.\nAnswer: -13*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005638581 rounded to 5 dps?\nAnswer: -0.00564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 1, s: 1, j: 1, p: 2}. Give prob of picking 1 n and 2 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 259\/(-140) - (-85)\/68?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 12\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.21 and -20348?\nAnswer: -228101.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 47. Let y = f + -11. Solve -t - 1 = -y*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -27. Let q(g) = 5*g - 4. Let k(t) = -4*t + 3. Let x(b) = 6*k(b) + 5*q(b). What is the remainder when v is divided by x(17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = d - 10, 3*d = -2*m - 2*m + 8. Let s be (-3 - (4 + m)) + 2. Let p(y) = -y**3 - 8*y**2 - 10*y - 8. Calculate p(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 = 16. Suppose -6*l = -k*l + 54. Let a be (90\/25)\/(2\/5). Calculate the highest common factor of a and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418048 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1968 is divided by 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24050\/117 + 8\/18. Let f = -192 + h. Solve -4*q = 3*q - f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 9 + 7*f - 17.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5620 divided by 5620\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - -2. Let x be (1\/(-6))\/(2\/27). Let y = 7\/4 + x. Which is the biggest value? (a) 5 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 2*d - 2*d + 5*d - 89 + 18, -4*z + 2*d - 38 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -363\/4, 5\/13, 0.1?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -14.3, 2\/3, 12\/11 in increasing order.\nAnswer: -14.3, 2\/3, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1095\/322 + -114\/23. What is the common denominator of y and 107\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 65*p + 1. Let m be b(2). Let s = m + -82. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(238\/(-4)) - 1630\/(-17). What is the greatest common factor of 36 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcripuppru. Give prob of picking 2 r.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134118.\nAnswer: 2, 3, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 2:14 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 172.753*3\nAnswer: 518.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3\/5 (b) 222.2 (c) 0.48 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59, 105, 139, 161?\n\"Answer: -6*g**2 + 64*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 12\/30*(10\/(-8))\/(-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -9) + 7 + -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -23, -20, -17?\n\"Answer: 3*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/490374 and -13\/30?\nAnswer: 2451870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45971 - -77926. What are the prime factors of t?\nAnswer: 5, 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 2*n - 116. Let v = n + -39. Find the third derivative of 8*s**2 - 8*s**v + s**4 + 7*s**2 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/3620 and 101\/10154.\nAnswer: 18378740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:06 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -168.5087 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, 2\/9, 475713, 2, -0.2 in increasing order.\nAnswer: -3, -0.2, 0.2, 2\/9, 2, 475713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + 2 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-2)\/6)\/(3\/(-63)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16328, 32632, 48828, 64862, 80680?\nAnswer: 96228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*j - 7. Suppose 2*g = -m + 28, j*m - 111 = 4*g - g. Find the common denominator of -44\/9 and (-3 + 2)*m\/22.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4756 + -4752. Suppose 4*x = 61 - 21. Let i be (-12)\/x - (-1)\/5. Sort d, i, 0.\nAnswer: i, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(25 - 4 - (-4644)\/(-216))\/((-15)\/(-213))?\nAnswer: -71\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -228, -341, -454?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k*k**1)\/k*k)*k)**41)**(-3\/17)\/(((k\/k**(-2\/7))\/(k\/(((k\/k**(7\/2))\/k*k)\/k)*k))\/(k**(-1\/2))**(-20)) assuming k is positive.\nAnswer: k**(5105\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154281 and 258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -183529150 rounded to the nearest 1000000?\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.331238 micrometers in meters?\nAnswer: 0.000004331238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 - 149*u + 771. What is the remainder when 353 is divided by h(5)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 16*l + 28. What is the closest to 1 in l, -0.1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27292856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o - 123*o = 193*o - 12672 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11807 divided by -14?\nAnswer: 11807\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -2*a. Suppose o + y = -a*o + 24, 5*y = 15. Calculate the least common multiple of 2 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013011 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayxwhoxa. Give prob of picking 1 x and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16273 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -284930 rounded to the nearest 1000?\nAnswer: -285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -1119342?\nAnswer: 1119345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6878991.\nAnswer: 3, 7, 327571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 2*n + 3. Let j be y(-5). What are the prime factors of 4\/(-6) + j\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (412*g - 52*g**2 - 824*g + 413*g)*(1 - 1 - 2*g).\nAnswer: 104*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15805 - -8754. Let z be (-300)\/(-18)*(1 + v). Round z to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150.144 + 150.49. What is the third biggest value in -0.1, 0.16, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {j: 11, a: 2, y: 4, h: 1, k: 1, r: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1218 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*r*x*z**3 + 11065*r*x*z - 1676785*x**3*z**3 - 474*x**3*z**2 + 6*x**3 - x - 2*z wrt z?\nAnswer: -708*r*x - 10060710*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.52, -2\/7, -12 in increasing order.\nAnswer: -12, -1.52, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from wbwglwl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 2, b: 1, k: 1, f: 1, u: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = -265. Let n = 107 + f. Solve 3*v = 2*y + 14, -5*v + n = 2*y + 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i = 27*i + 99*i + 684 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 + -125. Which is the nearest to w? (a) -17 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65833\/127772 - 1\/1879. What is the common denominator of -39\/16 and k?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2 - -27 - (101 + -85)) + (1 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*x + 14 = 4*x, 4*x - 11 = -w. Calculate the highest common factor of 105 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*j = -20, 5*j = -3*x + 6*j + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:09 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z - 14419 + 29764 - 14817 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 8*x + 75. Let c(k) = 17*k + 16. Is c(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-5*n - 3*n + n) - 21*n - 543 + 543.\nAnswer: -35*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -380 - -380.1. Are g and -174 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 19 + 2*c - 3*c)*(-1 - 1 + 5)*(-4*c - c + 3*c) as f*c + i + h*c**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-27 - 2397\/306)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(1053)*-4) + 2.\nAnswer: -144*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 690083547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22000220210 (base 3) to base 8\nAnswer: 464665","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(-2 + sqrt(448) + 4 - sqrt(448)))**2 + 5.\nAnswer: 3605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 595\/10*(-48)\/(-14). Suppose 0 = -v - 3*v + n. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/((-266)\/182) - (1 + 2 + -7). Put 4, w, -3, 33, -2 in descending order.\nAnswer: 33, w, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3810390549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13401 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 o(n) = -30 + 15 - 3*n**2 + 15 + 5*n**2. Let y(j) = 8*j**2. Give o(y(c)).\nAnswer: 128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g - 155. Let u = -16 - g. Let t = -6234 - -6239. Solve -t*q + 2*q + u = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -235726, -3, 1 in descending order.\nAnswer: 1, -3, -235726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 12 + 16)*(m - 7*m - 3*m) + (m - 29*m - 13*m)*(1 - 1 + 2) as h + z*m and give z.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 12, 62, 166, 342?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r. Let g(i) = -4*i - 1. Let v be g(-1). Let b be -2*(0 + 3 + -4). Let d(c) = b*c + 4*c - v*c. Calculate m(d(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**3 + 0*g**3)*(5*g**2 + g**2 - 4*g**2).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v**4\/9 + 1364*v**3\/9 + 8512*v**2\/9 + 1964*v + 1166 = 0. Calculate v.\nAnswer: -33, -53\/17, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9681 = -7*t + 3192. Let m = t - -1424. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -349, -537, -799, -1171, -1689?\n\"Answer: -6*o**3 - o**2 - 143*o - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.2843929.\nAnswer: 0.05687858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63273104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:14 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -232*(172\/14)\/(93\/(-651)).\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 18*u + 23. Let w be a(-1). Suppose -m - 720 = -w*c, -5*c = 2*m + 2*m - 720. What is the greatest common divisor of c and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33280 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.41*1.\nAnswer: -1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2)*(-14 + 15)*-5 + -6. Solve -26*u - l = -3*a - 27*u, 4*u + 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i + 92. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188326.7 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1679, -1661, -1631, -1589, -1535, -1469?\n\"Answer: 6*g**2 - 1685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 539797621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -13*m**3 - 22*m**2 - 3. Let s(t) = t**3 + 5 + 7*t**3 - t**3 + 20*t**3 + 45*t**2. Let c(x) = 5*b(x) + 3*s(x). Find the third derivative of c(v) wrt v.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*j**2 + 239*j**2 - 124*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 - 1. Let x be h(-1). Let g be (2 - x)\/3*1. Suppose -3*l + 145 = 5*v, 3*l - 161 = -g*l - v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -71*o - 211. Let w be j(-3). Let m = 33 - -7. Suppose -r = -3*a - 20, w*a = 2*r + 4 - m. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 - -2) - (-1141)\/9780*6045\/140?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.1 + -18. Let f = 6 - 6.4. Which is the third biggest value? (a) -0.5 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)\/(sqrt(4) + (sqrt(16)\/sqrt(4) - sqrt(4))*-6) + 5 + (3 + sqrt(80)\/sqrt(4) + sqrt(20) + sqrt(20))**2*2 + -1.\nAnswer: 74*sqrt(5) + 382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 226 - 229. Sort v, 1, -5, 3\/16 in increasing order.\nAnswer: -5, v, 3\/16, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*w - 1 + 4 - 34*w)*(-2*w + w**2 + 2*w) + w**3 - 2*w**3 - 4*w**3 as p*w + b*w**3 + i*w**2 + x and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 8*z. Let u be q(-8). What is the second derivative of 0*s**2 - 3*s + u*s**4 - s**4 + 0*s**2 wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**5 + 150*p**4 + 2000*p**3.\nAnswer: -5*p**3*(p - 40)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j. Let w(d) = 40*d. Let b(z) = 9*f(z) + 2*w(z). Let l(i) = -5*i**2. Give b(l(m)).\nAnswer: 140*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 less than or equal to -7240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111768 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w + 43*w**2 - 9*w)*((3 - 1 + 0)*(-2 - 2*w + 2) - w + w + w).\nAnswer: -129*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-15))\/(7\/((-280)\/12)). Let h = 3658\/15 - 244. Which is the second smallest value? (a) d (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70.39 + -2.79. Let g = -47.3 + v. Let q = g + -10.2. What is q rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 minus -104.371?\nAnswer: 103.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*d - 2*d - 3, 3*d = t - 11. Suppose 0 = t*f - 0*f - 40. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = -6*m. Calculate the smallest common multiple of 2 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/33 + 684\/(-11). Let g = 155 + n. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -667, -303, -4 in descending order.\nAnswer: -4, -303, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2098*j + 20. Let d be t(-10). Round d to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12660134.\nAnswer: 2, 6330067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.3. Let a = -2\/65 + 136\/195. Let j = -5.3 - -5. What is the closest to x in -0.4, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000100001100111010 (base 2) to base 5.\nAnswer: -114311443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 941.6426 litres in millilitres?\nAnswer: 941642.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -203 + 337. Suppose 0 = -6*z - 20 + p. Find the second derivative of -14*d**4 - z*d + 2*d**2 - 2*d**2 + 15*d**4 wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 122*i**2 + 79*i + 34. What is r(40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -569 - -614. Calculate the highest common factor of 60 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43581770 to the nearest integer?\nAnswer: 6602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/3 + 64*h**3\/3 - 512*h**2 + 3*h + 11. Let x(b) be the first derivative of p(b). Find l, given that x(l) = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 + -0.0536615468922?\nAnswer: -0.1936615468922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oobn when four letters picked without replacement from {n: 11, o: 2, b: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139167 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54927\/7 + -7847. Which is the fifth smallest value? (a) 2 (b) -0.3 (c) 5 (d) q (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(-3*(-1*sqrt(147) + -4 - sqrt(147)) + (0 + sqrt(147)*1 + 0)**2).\nAnswer: 1260*sqrt(3) + 4770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n**2 - 2398*n + 3*n**3 - 3*n**3 + 2392*n - n**3 in the form v*n**2 + a*n**3 + l + i*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -8471745 at least as big as -8471750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2967\/(-138))\/(0 + 19\/38).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5176395 months?\nAnswer: 0.0043136625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*z + 4571, 0 = -5*z + z + 3*l + 9177. List the prime factors of z.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36692.21s in milliseconds?\nAnswer: 36692210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-167 + 158)*(-16)\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 1\/3*r**3 + 0*r + 3*r**2 - 18. What is the second derivative of f(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106480390?\nAnswer: 2, 5, 2857, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffffffffffdff. Give prob of sequence fd.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 616, 1388, 2470, 3862, 5564?\nAnswer: 7576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/28*1*-1. Let l = 20 - 28. Let b be (-2)\/l*(5 + -7). Is d > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (-23 - -39)) + (27 - (-7 - -6) - 5).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 3*f - 2. Let j be l(-4). Suppose -u + 3*u = j. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-680)\/(-195) + 86\/(-559). Which is the nearest to -1\/5? (a) 3\/22 (b) -6\/7 (c) v (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*k + 3282315*k**2 + 260*k**3 + 6*k**3 - 3282315*k**2 in the form r*k**3 + a + t*k**2 + p*k and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39805713 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8427 is divided by 143.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39905, 0, 0.2, -2, -2\/9, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*i - 466*i + 7 = 0, 5*y - 4*i = -33 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 799943308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -449601 + -426980. Let b = -246581 - r. What is b rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 413154\/(-459) - (-2)\/17. Calculate the remainder when (-3)\/4*(-8 - a\/(-27)) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1138 + 2575. What are the prime factors of m?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 9*w**2 + 1 - w**2 + 7*w**2 as h*w + q*w**2 + a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 80*s - 1204. Let g be c(15). Let x(y) = y**3 - y**2 - 6*y - 6. What is x(g)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 3*s**2 + s + 4. Let r be c(-3). Solve 2*q = -3 + r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*a - 6 = 17, a - 10 = -4*h. Let d be 2*-2*3\/(-6). Suppose -2*y + d*y = -h*y. Solve y = 4*x - 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -496 less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8*w. Determine h(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14436656 and 2444?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 5*u + 21, 2*w - 18 = -0*w + 2*u. Suppose 0 = -4*m - 4. Let h = w - m. Solve 5 = 2*o + 3*i - 2, -4*i + 7 = h*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.036 * -1921\nAnswer: -69.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -631\/111 + -24\/37. Let w(c) = -29*c**3 - 2*c**2 + 1. Let v be w(1). What is the common denominator of t and -1 + (-117)\/v + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**4 + 4*v**3 - 104*v**2 + 96*v = 0.\nAnswer: -6, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 502, 4, 27, 3, 0, 0.3 in ascending order.\nAnswer: 0, 0.3, 3, 4, 27, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3845804 to the nearest integer?\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 24292510?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3401*i**2*t**2 + 326*i**2*t + 216*i*t**2 + 172038*i*t wrt t?\nAnswer: -6802*i**2 + 432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/5 - 5501406*o - 37831834971045 = 0. What is o?\nAnswer: -13753515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4177? (a) -3 (b) -0.3 (c) 1\/1429 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(72)*2 + sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(4))\/(-1*sqrt(27)\/sqrt(3)*-2).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + 17. What is the greatest common divisor of 319 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and -6066565?\nAnswer: 6066565.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djdjdd. Give prob of picking 2 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 6*d - 10. Let j be ((-4)\/6)\/(3\/(-36)). Let t be r(j). Calculate the greatest common factor of 4 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 75. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.67? (a) 21\/4 (b) -0.05 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -7. Let q(x) = -2*x**3 - x + 1. Let u(i) = i**3 + 12*i**2 - 17*i + 12. Let v(j) = q(j) + u(j). Is v(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -12*h**3 - 23*h**2 - 73*h - 12. Let b be l(-4). What is the highest common divisor of 952 and b?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 355 (b) 0.1 (c) 211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 16*j**2 - 19*j - 59. Let g be s(-15). Let a(n) = -22 - g + 2 + 15 - n. Calculate a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.10151ml to litres.\nAnswer: 0.00910151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let i be d(-6). Let w = -6 - i. Which is the third biggest value? (a) 1 (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - -3*(sqrt(84) + sqrt(84)*2) - 2*sqrt(84)*-6)\/(sqrt(384)\/sqrt(2) + sqrt(12) - sqrt(192)*1).\nAnswer: 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0 + 2\/3*v**3 - 3*v - 2*v**2. What is c(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 381\/24 - (258 + -242).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1088) + -2*sqrt(1088) + -2 + sqrt(1088))**2*3 + (2*sqrt(1088) + sqrt(1088) + -5)**2 + 5*(sqrt(1088) + 0).\nAnswer: -200*sqrt(17) + 9834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 34*j**2 - 18*j + 36. What are the prime factors of t(5)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7526422 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11407950389 + -619?\nAnswer: 11407949770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -813.\nAnswer: 17\/813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 3*k**2 - 4*k - 2. Let n(w) = w**3 + w**2 - w - 1. Give 2*n(j) - p(j).\nAnswer: 4*j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3\/3 + 22*o**2\/3 + 62*o\/3 + 14 = 0.\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8.06 + -30325639\nAnswer: -30325647.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/2)\/((-9)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -16*l**3 - l + 2. Let h be z(-2). Suppose 0 = 3*s - 258 - h. Suppose 4*n = -2*a + s, -n - 12 = -5*n. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7524, 7539, 7554, 7569, 7584?\n\"Answer: 15*u + 7509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) -16\/7 (c) -1\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - k = -165, -3*x + 2*k + 105 + 69 = 0. Calculate the greatest common factor of x and 7112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (132\/(-5))\/(-4). Let 1\/5 - 3\/5*v**4 - s*v**3 + 2\/5*v**2 - 1\/5*v**5 + 3\/5*v = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 19*d + 0 - 1\/30*d**6 + 0*d**3 - d**2 + 5\/6*d**4 + 4\/15*d**5. Suppose i(x) = 0. Calculate x.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361 + 361 + 4*t + t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 915275010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21655991 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -0.763?\nAnswer: 3.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -13 (c) 0.056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 25 = -2*d, 0 = -3*j + j + 3*d - 9. Solve 2*m + j*s = -7, 4*s - s - 3 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 + 97.994496. What is c rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 5 = -8*b - y, -4*y - 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -48.13. Let s = z - 2.066. Let x = s + -0.274. Round x to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 + 58*q + 47. What are the prime factors of y(-30)?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/1 - 144)\/(-2). Find the common denominator of 2413\/864 + 118\/(-1593) and 1 + 1 - l\/(-6).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2853 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 12. Let t = -2117\/204 - -32\/51. What is the third smallest value in g, 0.1, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*o - n + 9, -8 = -2*o - n. Solve -w - 20 = 4*w + o*k, 4*w + k + 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13541651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185237934 to the power of 1\/2, to the nearest integer?\nAnswer: 13610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 16*m - 24. Let q be a(-14). Let h be 8 + (14\/q + -4)*-6. Solve 5*c + 1 = -5*g + h, -3*c = 4*g - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 77805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 - -324. Suppose 0 = 3*b + b - t. What are the prime factors of 990\/b - (-4)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6103.\nAnswer: 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.42946 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 86 + 51 - w**2 in the form x*w**2 + t + n*w and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1069 - 107?\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -29 + -27 + 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -39. Let w = 35 - c. What is the third biggest value in 2\/5, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 + 5*b + 16. Let h be z(-4). What is the derivative of 210*p**3 + 219*p**4 - 210*p**3 + h + 29 wrt p?\nAnswer: 876*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 905675, 905892, 906109, 906326?\n\"Answer: 217*q + 905458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 520741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21461, 21463, 21465, 21467, 21469?\nAnswer: 21471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/9*8\/40?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/262 and -3\/868?\nAnswer: 113708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 22. Suppose -5*a - 5*y = 5, -3*y - y = -a + u. What is the derivative of a*b**3 - 3*b**3 + 3*b**4 + 3 wrt b?\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*j = 10, 0 = l + 3*l + 3*j + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*l = 1 - 20, -4*l = -3*d + 24. What is the derivative of -11 + 2 - 3 - 21*h**d - 4 wrt h?\nAnswer: -84*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000164414 rounded to 7 dps?\nAnswer: -0.0001644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -105, -124, -159, -210, -277?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*q - 4189476 = -4207330 for q.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 138, 25, -548, -1809, -3986, -7307, -12000?\n\"Answer: -38*b**3 - 2*b**2 + 159*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 5*s - 7*s**2 + 20 + 15*s - 4. Let y be t(-8). Suppose -54 = -2*a - 4*k, 5*a + y*k - 190 = k. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen quarters of a day?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 18. Determine n(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 11359 = 111*u - 115*u, 0 = -5*u - 20. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*s**2 + 4\/5 + 2\/5*s.\nAnswer: -2*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(2\/7)\/h))\/(h**(-3\/8)\/h))**13*(h\/h**2)**(1\/5)\/(h**(-1)*(h**(-3\/4)*h)\/h) assuming h is positive.\nAnswer: h**(8039\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -95, -126, -157?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 (base 9) in base 2?\nAnswer: -10100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 28*x + 415. Let q be y(9). Which is smaller: q or 2\/1101?\nAnswer: 2\/1101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19314 and 17168?\nAnswer: 154512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, c: 5}. Give prob of picking 4 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (3 - (-22 - -7)) - (-2 + -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692 is divided by 672?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 41. Suppose -q + 0*q = -1. What is the remainder when (-2 + 156)*q\/2 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 1 + 1)*(2*q**2 - 42*q + 2*q**2 + 43*q).\nAnswer: -4*q**4 - q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*f - 135*f + 6*f**2 - 2 + 4*f**4 - 9*f**2 + 35*f**2 as k*f**3 + p + r*f + i*f**2 + z*f**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.779?\nAnswer: -0.3116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:29 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 119890 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*p - 121 + 75. Let i = -20\/11 - -122\/55. Which is the third biggest value? (a) 3 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b + 90. Determine o(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2146, -4300, -6454, -8608, -10762?\n\"Answer: -2154*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/30 - (3 - 2). Let v be 17\/(-5) - 74\/(-185). What is the closest to v in -4, a, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 134 = -h, -5*t - 38 = -4*h + 549. Calculate the remainder when 10006 is divided by h.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b. Let w(v) = 0*v + 6*v - 4*v**2 + 2*v**2 + 3*v**2. Let s(n) = n. Let i(r) = -6*s(r) + w(r). What is f(i(p))?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 21 = -12. Suppose n = -2*w + 291, 77 = -w + h*n + 233. What is the greatest common factor of 98 and w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1914 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 1\/4 (c) 2\/5 (d) 0.14 (e) 4\/277\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*y - 2*g - 82, 0 = -3*y + 3*g - 60. Let h = y + 19. Which is bigger: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 24 = -4*g. Let x be (-14)\/105*15\/5. Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -942301\/4 or -235574?\nAnswer: -942301\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxorxsor. What is prob of picking 1 o and 1 s?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 650.2 - 650.1918802. Round l to 4 decimal places.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, u: 2, t: 2}. What is prob of picking 1 u and 3 n?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1080 or 688\/41?\nAnswer: 688\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -4, 5, 2\/3, -24, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (0 - (-68)\/(-2)). Let w be (-5 - -6)*(2*-206 + 1). Let c = w + 516. Calculate the highest common divisor of m and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 92, 402, 712, 1022, 1332?\n\"Answer: 310*j - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6026*s**2. Let q(z) = 2*z + 12018. Determine q(y(u)).\nAnswer: -12052*u**2 + 12018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*k = -221*k + 438*k + 440 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 11, -1, 67 in increasing order.\nAnswer: -1, 11, 23, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8454 - -8455. Which is smaller: s or 297\/56?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 128950321, 257900638, 386850955, 515801272, 644751589?\n\"Answer: 128950317*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 164587*m**3 - 164578*m**3 + m - 13 - 621*m**2 + 16 to the form t*m**2 + d*m + c + z*m**3 and give t.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4714*l - 112504 = 402*l + 181*l + 52736 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 1)*(-1)\/(-3). Let j = -505 + 1375. Let v = j - 853. Sort 5, i, v in increasing order.\nAnswer: i, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-6))\/(2\/464). Let n = -2547 - -2606. Let i = g + n. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2002 - ((-7)\/(-7))\/((-1)\/2). Let g = q + -874. Let x = -574 + g. Round x to the nearest 10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21182 by 238.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oouou. Give prob of sequence oou.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:30 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*n + n, -5*n + 5*b + 50 = 0. What is the second derivative of -n*a**3 - 17*a - 12*a + 20*a wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2*m - 23 = 0, -4*h - 28 = -31*m + 35*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 5*n + 4. Let c be o(5). Solve u + 8 = -3*r, -c*u + 2*u = -2*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 40 (c) 0.669 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39172 is divided by 115?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 2. Let i be 6 + -8 - 8\/2. What is the remainder when -2 + 31\/1 - 1 is divided by w(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -20862119\nAnswer: -7\/20862119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaoozezzoegooooao. What is prob of picking 3 z and 1 g?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - 0)\/(4\/(-12)). Suppose x - z = -0. What is the remainder when 78 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4215 is divided by 1326?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001100011101100 (base 2) in base 14?\nAnswer: 1c2cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5863*i + 5869*i + 114. Put -4, -1, 2, -5, i in decreasing order.\nAnswer: 2, -1, -4, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = z - 96. Let x = z - 233. Let d = x - -123. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -124588, -124591, -124594, -124597?\n\"Answer: -3*r - 124585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 73*s - 34*s as q + t*s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76750 rounded to the nearest one thousand?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r**2 + r - 1. Let c be j(3). Let s = c + -6. What is the greatest common divisor of 45 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 290, 578, 860, 1130, 1382, 1610?\n\"Answer: -g**3 + 3*g**2 + 286*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + z**3 + 1 + 20*z + 21*z to the form h*z**3 + m*z**2 + v*z + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 4*o - 2*o)*(-4 + 1 + 1 - 2 + 0 + 3 + (3 - 2 + 1)*(0 - 4 + 2) + 1 + 0 + 1 - 1 + 1 + 2 - 3 + 0 + 4 + (-3 + 4 - 3)*(3 - 1 - 1)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 597 - 543. What is the least common multiple of 12 and j?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/5*(-1 + 3). Suppose -l*i - 7 = 1. Is i smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 14) to base 7\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-7)\/(-2646)*6*18\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/60 - 3*l**5\/10 + 9*l**4\/4 - 9*l**3 - 38*l**2. Find p such that y(p) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*v**6 + 139751*v**5 + 10*v**3 - 52046230*v**2 wrt v.\nAnswer: -960*v**3 + 8385060*v**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/3)\/((-44)\/110).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 2*u - 7*u + 0*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-15) - 1)*-20. Let t = -6 - h. What is the second derivative of r + 3*r**2 - 4*r**t + r**2 - 5*r**2 wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*i = -3*v + 415, -2*i = 4*v - 1632. Suppose 404*o + 582 = v*o. What is the remainder when o is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -4*b + 1831. Suppose 56*v - 39*v - b = 0. Calculate the remainder when v is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 7. Let u(m) = -m**2 + 5*m - 33. Let h be u(0). Let q = h + 28. Give a(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/28 - (-4)\/(-7). Sort 0.5, x, -1, -2\/5 in decreasing order.\nAnswer: x, 0.5, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - -1204a?\nAnswer: 12031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.9 - 2.9. Let j = -12.999909 + q. What is j rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1.6\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 4:03 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 3117?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 968 and 1089.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iocwzcoczowwwicow.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/14*(-12 + 0). Suppose -3*l + u*l - 4 = -2*t, 0 = 3*t - 5*l - 6. What is the third biggest value in t, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/120 and -25\/4545582.\nAnswer: 90911640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n - 4*n + 3 - 6. Let z(w) = 27 + 3689*w - 20 - 3686*w. Calculate 9*k(l) + 4*z(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*((-26864)\/(-690) - 39).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -7*p + 24. Put -1, p, -17 in descending order.\nAnswer: -1, p, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 687776366 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -12 (b) -2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -799 - -799.0000231. Round t to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 59367434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 6\/5 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:32 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/43))**(-47\/5)*t**(3\/5)\/t**(-5))**(-16) assuming t is positive.\nAnswer: t**(-3552\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86427 = -190*n - 105047 for n.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/43)*y*y*y)**(3\/20) assuming y is positive.\nAnswer: y**(393\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 50*m**2\/11 + 20380*m\/11 + 2076722\/11 = 0.\nAnswer: -1019\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -11*x**5\/4 + 101*x**4\/4 + 6065*x**3\/4 - 20081*x**2\/4 - 10749*x\/2 + 1134 = 0.\nAnswer: -21, -1, 2\/11, 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 6:24 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (188\/28 - 4*4\/(-56)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 99 = 21. What is the greatest common factor of 208 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-23.9495761\nAnswer: -24.2495761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 104 = f + 4, 4*f + k - 382 = 0. Suppose 4*j - 4 = f. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 5*v = 100, -v = -2. Suppose -5*j = -4*q + 24 + d, 0 = 3*q + 3. Let i = -6 - j. Solve i*r = -0*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -10.64 (c) -2\/11 (d) -2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/420 + (-32)\/15. Let x(v) = 9*v - 1. Let c(s) = 2*s. Determine j*x(o) + 11*c(o).\nAnswer: 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5633 = -262*t + 17758 + 14337. Solve -34*g = 280 - t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 41\/9 + (-20)\/(-45). Suppose -r*v + 886 = -714. What is the highest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23.28497 hours?\nAnswer: 83825.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2131 times 1.2?\nAnswer: -0.25572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*f - 220 = 0, 149 = -3*k + 6*k - f. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -6.8. Let q = 2 + s. Which is the nearest to q? (a) 0.3 (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 + 46)*4\/(-48)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -100, -1005, -3504, -8395, -16476?\n\"Answer: -133*o**3 + o**2 + 23*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 13*f - 36*f.\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -496\/141189?\nAnswer: -496\/141189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3 = 7. Let p = 4 - k. Factor -c**p - 1 - 6*c - c + 5*c.\nAnswer: -(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*sqrt(1008) + 3))**2 + (6*(5 + sqrt(252)) + 2)**2.\nAnswer: 2520*sqrt(7) + 19177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0141031 rounded to four decimal places?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/187 and -49\/272.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02135 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.85, 7, -7\/3 in decreasing order.\nAnswer: 7, 3.85, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 83\/3. Suppose 7*w = -0*w + 182. Let n = -24 + w. Which is the closest to n? (a) -1\/3 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/3)*a)\/(a\/(a\/(a*a\/(a\/(a*a**0))))*a))\/((a**(-2\/9)*a)\/(a\/((a*a**(-2\/5))\/a))) assuming a is positive.\nAnswer: a**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 + 37524*o**3.\nAnswer: -3*o**3*(o - 12508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*f + 1894 + 242 = -1845 - 3147 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 5:42 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5027 + -2818. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 1:08 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/12)\/(-7)*32\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -987 + 985. Let a = 0.2 - 0.2. Let v = w - a. Put v, -3, 2\/3 in increasing order.\nAnswer: -3, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -5\/768 (c) -0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 641018 not equal to 642258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3162*h + 3149*h - 9481*h + 3154*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -246 + 141. Let g = 105.4 + p. Sort g, -0.03, -4 in descending order.\nAnswer: g, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1305 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -29422, 5.8 in decreasing order.\nAnswer: 5.8, 3, -29422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137 + -137 - (-11 + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-1)\/sqrt(6) + -4*sqrt(19)*-3 + ((-1 + sqrt(19) + 4 - sqrt(19) - sqrt(19)) + sqrt(76) + -1)**2.\nAnswer: 23 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/((b*b**(-4\/13))\/b))**40 assuming b is positive.\nAnswer: b**(-360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 1097?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-1 + 4) - 0. Suppose 113 = 3*c - 3*a + a, 4*c - 5*a - 153 = h. Suppose -2*t + 21*t - 3515 = 0. Calculate the highest common factor of t and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*j + j - 2*c, 0 = -2*j - 3*c - 16. Let g(r) = -r**3 - 7*r**2 - 9*r - 47. Let t be g(-7). Sort 0, t, j in ascending order.\nAnswer: j, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2420) + 1 + sqrt(80) - (-4 + 2*(sqrt(20) + 1)*2))**2.\nAnswer: 124*sqrt(5) + 19221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 51) + -5 + (23 - (1 + 14))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80240208 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + f = h, -2*f = 148*h - 150*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p + p)*(3 + 4*p - p + 1) - 41*p**2 + 75*p**2 - 33*p**2.\nAnswer: 4*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 10*f + 3. Let l be i(10). Suppose -4*c + 493 = l*z, 0*z - 4*z + 653 = c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 1, e: 1, s: 6, d: 1, w: 4}. What is prob of picking 1 k and 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 292902233 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (901 - 901 - 55*f)*(-1 - f + 0 - 1) to the form g*f**2 + r + l*f and give l.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -14*o**3 + 7*o**2 - 7*o + 93. Let w(u) = 9*u**3 - 5*u**2 + 5*u - 62. Give -5*r(g) - 7*w(g).\nAnswer: 7*g**3 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 12715*l**3\/3 - 13474721*l**2\/3 + 4490161*l\/3.\nAnswer: -l*(l - 2119)**2*(3*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1115378\/1748145 - 1\/16649. Find the common denominator of w and (-9 - 4008\/(-440))\/((-4)\/30).\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1632267255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 197*z - 68*z - 81*z. Is 12 a factor of a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*r + 191716, 13 = r + 14. Round z to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -453 != -454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-2432)*-48*80\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 2. Let c be l(-3). Let z(g) = -g**3 + 4*g**2 + g - 3. Let i be z(4). Calculate the greatest common factor of c and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s = -43*s - 100. Suppose 14*d + 12 = s*d. Solve -2*k + 3*l = -5*k - 9, -10 = 2*k - d*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 72 + 3*o - 71.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 2*t - 2*t)*(6 - 4*t + 3 - 7) to the form a*t + f + j*t**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 114699465, 114699462, 114699457, 114699450, 114699441?\n\"Answer: -o**2 + 114699466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -18. Let y be (-2)\/3 + (-150)\/n. Solve 0 = -3*i, i = -4*z - 0 - y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(126)*2 + sqrt(126)))\/(sqrt(243) + sqrt(243)*-2))\/(sqrt(294) + sqrt(294)*1 - ((2*sqrt(18))\/sqrt(3) + sqrt(6))))**2.\nAnswer: 112\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 69, 121, 193?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581 = -10*r + 473 + 268 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414518227 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**4\/12 + 3*o**2. Let a(k) be the third derivative of 35 + 0*k + 0*k**4 - 1\/20*k**5 - 2*k**2 + 0*k**3. Give a(z(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031755 to the power of 1\/2, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 less than 10695?\nAnswer: 10623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = 0. Let u = 5 + d. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5, 274 = -4*c + 7*c - p. Suppose 10*i = 3067 + c. List the prime factors of i.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15228131 + -15228130.2499899. Let f = -0.75 + q. What is f rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -36. Let x = 19 + n. Let k = 5 - x. Which is the second smallest value? (a) k (b) -0.4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013942125787 to 7 dps.\nAnswer: -0.0013942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j - 3. Let m be n(-2). Let g be (-6)\/m*(1 + -7). Suppose l = 3*u - 9, -4*l - g*u + u = -24. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 14 = 11*z. Suppose -z*i - a - 41573 = -4*i, -41563 = -2*i + 3*a. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1dd - -20?\nAnswer: 1fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64.263 + 1.637. Let z = w - 66. Do z and 11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. Is 73\/r + 12\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:12 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 6 = -5*s. Suppose 3*m + s = 25. Suppose -m*x = -10*x + 25. Solve -5 - x = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 196 + -19ad66?\nAnswer: -19abc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnnnnnpfnfn. Give prob of picking 1 f, 2 p, and 1 n.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -575 + 568. Let n(d) = -2*d**3 - 9*d**2 + 3*d - 5. Let f be n(-5). Which is the biggest value? (a) u (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 15*d + 147. What is the lowest common multiple of 1 and t(-8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -681 or -309207\/455?\nAnswer: -309207\/455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, 0.5, -33 in increasing order.\nAnswer: -33, -23, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 611988 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148986 is divided by 9929.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.57 smaller than -742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 201. Let n = a - -947\/9. Let f(b) = b**3 - 6*b**2 + 5. Let w be f(6). What is the second smallest value in w, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/57 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -4932 and -3892380372.\nAnswer: -3892385304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*y - 16. Suppose -3*q = -y*q + 15. Suppose 0 = -q*t - 0*t + 183. List the prime factors of t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38705, 38701, 38693, 38681, 38665, 38645?\nAnswer: 38621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1126)\/(-3)*9\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**5\/30 + s**4\/9 - s**3\/9 + 5*s + 4. Let z(t) be the first derivative of f(t). Solve z(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g\/g**(-1\/9))\/g*g))\/g*g*g**(2\/13)*g)\/(g**(-1))**(-27))\/((g\/g**(3\/7)*(g\/(g*g**(2\/15)))\/g)\/(g\/g**(-4)*g**5)) assuming g is positive.\nAnswer: g**(-63044\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c + 441 = 0. Let f = c - -692. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13*15\/(-2730) - (-1299)\/42. What is the smallest value in 5, 118, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/21 and -11\/49?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372579?\nAnswer: 3, 124193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60434 and 1312?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**3 + 116*c**2 + 3*c. Let r(h) = -4*h**3 + 117*h**2 + 2*h. Calculate -3*r(p) + 2*s(p).\nAnswer: 2*p**3 - 119*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/7 (b) -0.4 (c) 3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 33*n**2 + n - 25. Let c(k) = -17*k**2 + 13. Let u(t) = 11*c(t) + 6*g(t). What is the units digit of u(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, j: 7, g: 1, p: 8}. What is prob of picking 1 e, 1 j, and 1 g?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: -0.03444 * -0.5\nAnswer: 0.01722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25, 37, 1\/9?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 673025600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -0.0224?\nAnswer: -0.2688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/10*94\/658?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 2095 + 2275. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -32184.\nAnswer: -11\/32184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 2*v - 12*v. Let t = v + 47. What is the highest common divisor of 64 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 5*n + 4. Let k be p(0). Which is the smallest value? (a) 2\/3 (b) -6 (c) k (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 18*v**2 + 22*v + 42.\nAnswer: 2*(v - 7)*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 96 - 991 = 3*v, -v + 426 = 2*k. What is the common denominator of 29\/15 and ((-2)\/48)\/(k\/3268)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84953 + -48362. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/4 + 37*u**3\/6 - 13*u**2 - 31*u. Let g be x(-13). Solve -2*s = 10, 3*i + g*s = -5*s - 22 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 124 = 4*a. Suppose -4*j + 35 = a. Calculate the remainder when (16\/(-4) - -22)*1 + j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1)*(-5 - (-3 + -4)). Suppose -l + 13 = x - u*x, 4*l + 4*x = -12. Solve 15 = -3*j - 5*v, j - l = v + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**3 - 6*u**2 - 11. Let l(a) = 4*a**3 - 3*a**2 - 6. Calculate 6*c(d) - 11*l(d).\nAnswer: -2*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 divided by 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 13, 2, 4, -7, 48 in ascending order.\nAnswer: -7, -5, -2, 2, 4, 13, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 12, 0.06, -118, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l. Let r(f) = 26*f**2 + 13*f + 15. Let c(y) = -16*y**2 - 6*y - 6. Let o(u) = -5*c(u) - 3*r(u). What is o(v(b))?\nAnswer: 32*b**2 + 36*b - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i + 27. Does 27 divide c(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:35 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740800 is divided by 12144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - q = -0*z + 7, 0 = -2*z + q - 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-36)\/105))\/(1266920\/53344).\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3836503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/3)\/(-30))\/((-1)\/4)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002 - 21102120110?\nAnswer: -21102110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4160676243*p**4 - 24964280904*p**3 + 20804721894*p**2 - 1117248*p + 15 = 0. Calculate p.\nAnswer: 1\/37241, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54597, 54595, 54593?\nAnswer: 54591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(76) + sqrt(76) + (sqrt(76) - (5*sqrt(76) + 1)))**2.\nAnswer: 8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let w(n) = 6*n - 1. Let y(f) = 5*o(f) + w(f). Let z(p) = 4*p - 4. Let b(i) = 4*y(i) - 2*z(i). Determine b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -1. Let h(w) = 5*w**3 - 1. Let l(u) = 19*u**3 + 20*u**3 - 38*u**3. Calculate f*h(n) + 3*l(n).\nAnswer: -2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 474307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**21\/d)**(9\/7)\/(d*d\/d**(-15)*d*d**(21\/2)) assuming d is positive.\nAnswer: d**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/2262612 and -137\/4840506.\nAnswer: 590541732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1468 = -2*m, -4*m - 5*g - 3020 = -6. Is -746 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*m - 14 = -26, -14 = -4*q - 3*m. Let a(u) = -u**2 + 4*u. Calculate a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 11*z**2\/2 - 61*z + 38. Let m be y(8). Let s = m + 0. What is the remainder when 161 is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*m - 16 = a, 12 = -4*m + 3*a for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/(19\/57).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 2*c**7\/105 + c**5\/10 - 2*c**2. What is the third derivative of b(y) wrt y?\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 131471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**2 + 14*n**2 + 43 - 3*n**2 + 23*n. Let u be g(-20). Let w be 3 + -1 + (u - -25). Solve -4*x + w = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-19 - -6 - -27).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 984 = 1650*u - 1568*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 364.1 + -349. Let w = -15.191 + l. What is w rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - p = 187, -4*b - 3*p + 8*p = -167. What is the remainder when 526 is divided by b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 67 + -74 + 9 + 0. Let i be (5 - 1)\/(2 - 1). Differentiate 5*s**4 + 4 + 4*s**2 - 4*s**i - 4*s**t with respect to s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (-361 - -357).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60312?\nAnswer: 2, 3, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 4 = n. Let d = 19 - n. Is d\/(1 - 2)*-37 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177*d**4 + 33*d?\nAnswer: -2124*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 4. Let j be l(-4). Let m = 71 - 69. Solve 3*y = x - 14, j = -x + 5*x + m*y + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 1440?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1704, -27, -26, -1\/10, -5 in increasing order.\nAnswer: -1704, -27, -26, -5, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022173 rounded to seven decimal places?\nAnswer: 0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*p*x + 547*k**2*p + 3*k**2*x + 3*k*p*x + k*p + 557*k - p wrt k.\nAnswer: -2*p*x + 1094*p + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/11 + 26*n**2\/11 + 218*n\/11 + 190\/11.\nAnswer: -2*(n - 19)*(n + 1)*(n + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5488 - 5790. Do y and -302 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02833 * -3\nAnswer: 0.08499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 14*r - 83 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 588*m**3 + 597*m**2 - 1182*m.\nAnswer: -3*m*(m - 197)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 2*r**3 + 7*r**3)*(r**2 - 6*r**2 + 4*r**2).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 7*p + p**2 + 2*p. Let z be h(3). Suppose -4*y - 4 + 12 = z. Solve -s = -y*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1116*b = 1118*b - 1674. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) 2 (c) 0.0128 (d) -3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 2256?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.32 - -16.38. Let a = 22 - o. Let p = a - 1. Sort 5\/4, p, -0.1.\nAnswer: -0.1, p, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7825?\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 4 - ((-9 - -2 - 0) + -16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-2)\/(-9))\/((-6592)\/(-29664))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l + 1. Let h be w(1). Solve 0*c + h = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*v**2 - 30 + 663*v**3 + 29 + 21*v**2 + 1 in the form f*v + q*v**2 + c*v**3 + z and give c.\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 + 34*r + 6. Let s(a) = a + 1. Let z = -5 + 4. Let h(t) = z*d(t) + 6*s(t). What is the second derivative of h(j) wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -58, -48, -34, -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 1315104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by -78\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*k - 69 = -326, 4*w = -k + 237. Is 58 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 21 = 3*z, 6*z + 1352587 = -4*p + 1352551 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3696387, -3696333, -3696279, -3696225, -3696171, -3696117?\n\"Answer: 54*n - 3696441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16108, 16025, 15880, 15667, 15380, 15013, 14560?\n\"Answer: -u**3 - 25*u**2 - u + 16135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 15*v**2 + 13. What is the tens digit of q(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 881? (a) 3 (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(sqrt(28)\/(sqrt(2) - -2*sqrt(2)))\/(sqrt(2) + sqrt(14)\/(sqrt(14)\/sqrt(2))) + -2.\nAnswer: sqrt(7)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 1.1 (c) -3 (d) -4.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -16. Suppose -i = -2*a + 2*i + 2, 2*i = -5*a + 24. Suppose -l + y = -a*h, 3*h + 2 + 3 = l. Are 0 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 30. Is b(-6) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 437 + -434. Which is the closest to -1? (a) 4\/7 (b) 8 (c) x (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 43 = 119. Let z(y) = -y**3 + 6*y**2 + 2*y - 5. Let a be z(4). Suppose -4*j - r + a = 0, j = 2*r + g + 1. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -773636 times 0.5?\nAnswer: -386818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 4*z + 1. Let u(d) = 2*d**3 - 5*d + 1. Let q(b) = -4*p(b) + 3*u(b). Let l be q(1). Solve -5*f + l*f = 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2140 = -172*y - 6440 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**19))\/o**10*o*o*o**8\/o*o**15)**(6\/5) assuming o is positive.\nAnswer: o**(198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m - 2 = 0. What is the least common multiple of 5 and m + (-1)\/(2\/(-20))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 7:27 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12758.\nAnswer: 2, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -285.6 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 + 7*h - 2. Let y(a) = 11*a**2 + 11*a - 3. Let r(p) = -8*c(p) + 5*y(p). Let s be r(-2). Let d(x) = 1 - 5*x + 4*x + 6*x. Give d(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 26553074077?\nAnswer: 26553074076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 292 + 4*h - 9*h + 7*h - 583 + 289 + 2*h**2. Let w(r) = -2*r**2 - 3*r + 1. Determine -3*w(g) - 4*x(g).\nAnswer: -2*g**2 + g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 3*f + 92 = -24*d - 2*f, 5*d = -22*f - 596 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23780 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11337822368492 take away 16?\nAnswer: 11337822368476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*o + 893*o**2 + 316*o**2 - 168*o.\nAnswer: 1209*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*i - 5*i - 123 - 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*m - 12, 0 = 4*y + 4*m - m - 21. Suppose 0 = 4*k - 6 - 2. Suppose k*s - 22 + 1 = c, 2*s - 1 = -y*c. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 2*u**2 + 2*u - 3. Give k(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -7*q**4\/24 - 5*q**3\/6 + 3*q**2 + 5. Let a(v) = -v - 1. Let y(h) = -5*a(h) + k(h). Give y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**3\/3 - z**2\/2 + 3. Suppose 2*o - 4*f = -3*f + 11, 4*o - 10 = -2*f. What are the prime factors of t(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 2*j + 2. Let a(v) = -2*v - 2. Give -5*a(f) - 6*x(f).\nAnswer: 6*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhhlzrszslrzllszllsz. What is prob of sequence zlrz?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((7 - -4) + -10)\/(-1). Let n be -3*4\/(-174) + 0. Let s = 186\/667 + n. Is x <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 334 = -1202. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 19 in decreasing order.\nAnswer: 19, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23534 divided by 574\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 295 + -591. Let d = 298.5 + x. Is d < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 24 - 66. Suppose 3*k = 5*n + 34, -k + l = -6*n + 3*n. Suppose -k*c - 87 = -3*x, 2*x + 4*c - 118 = -3*x. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9041873, 18083745, 27125617?\nAnswer: 36167489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -33, 2 in descending order.\nAnswer: 6, 2, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jej when three letters picked without replacement from ejjejeejjejjjjjjej.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {s: 1, c: 1, d: 2, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 48.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 8*j**2 + 11*j + 12. Let m be y(9). Solve -5*h = -3*v - 24, 6*v = 5*h + v - m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899178?\nAnswer: 2, 949589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1)*k*k*k*k**(-10\/7))\/(k**(-5))**(-50) assuming k is positive.\nAnswer: k**(-1739\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 128, 233, 350, 485, 644, 833, 1058?\n\"Answer: h**3 + 98*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 32947?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 30. Let j(m) = 3*m + 48. Let i(o) = -5*j(o) - 8*t(o). Let v(a) = 10*a**2 - 16*a. Give i(v(n)).\nAnswer: 10*n**2 - 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7297 (base 11) in base 8?\nAnswer: 22701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48488881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -14*o**3 + 3*o + 4. Let n be -1 - ((-3)\/(-1) - 1). Is s(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by (-4)\/6 + (-276)\/(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - t**4 - t**4)*(-1446 + 333 + 489) - t**4 + t**2 - t**2.\nAnswer: 623*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**4\/12 - 3*o. Let s(m) = -4*m**2 - 15*m**2 + 5*m**2. Give c(s(b)).\nAnswer: 196*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/120 + 47*m**3\/60 + 9*m**2\/2 + 338*m + 1. Factor i(d).\nAnswer: (d + 2)*(d + 45)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12772 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/165*5)\/(20\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**2 - 144*w + 16. Give q(24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 100999848.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 50 - 250 = 0. Suppose 0 = -a*y + 58*y + 32. Is (2\/(y\/12436))\/(1\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10166645, 10166643, 10166641?\nAnswer: 10166639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -6*i**4 - 2888*i**3\/3 - 153892*i**2\/3 - 2694520*i\/3 + 1544950\/3 = 0.\nAnswer: -55, -53, 5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b5 (base 13) to base 10.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -154*w**2 + 8. Let b(a) = -925*a**2 + 50. Let y(p) = -4*b(p) + 25*k(p). Let v(c) = -5*c**2. Determine v(y(q)).\nAnswer: -112500*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1549.91, 0.4, 3\/2, 55.\nAnswer: 0.4, 3\/2, 55, 1549.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 284\/(-3)*(-81831)\/109108.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 6. Let g = 31 + -39. Let f be (-385)\/(-25) - 6\/15. Let v = -16 + f. Let i(o) = -1. Determine g*i(h) + v*w(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 94\/(-3)*(3 + (-36)\/8). Suppose 0 = 43*x - f*x + 4. Solve 4 + x = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*i**2)*((3 - 2 - 2)*(6*i + i - 4*i) - 4*i - 3*i + 3*i - i + 2*i - 3*i).\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-16) - (-5)\/2. Let f(z) be the first derivative of -z + 1\/3*z**3 - z**2 - 2. Give f(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5510580390 to the power of 1\/3, to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281574, -281579, -281556, -281487, -281354, -281139?\nAnswer: -280824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 14\/47029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*v + 9977 = -774*v - 10375 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 y when four letters picked without replacement from {s: 4, z: 2, y: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 39*v**3 + 30*v**2 - 85*v - 9. Is 7 a factor of a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2. Let v(i) = -i + 1085. Calculate v(k(g)).\nAnswer: -3*g**2 + 1085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*x**2 + 174*x**2 + 61946*x**3 + 18593*x**3.\nAnswer: 80539*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2205080659.\nAnswer: 17, 271, 478637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let p be (-2 - 0)\/((-4)\/6). Suppose -4*c + 0*w - 4*w = -20, -2*c = -p*w. Let o(j) = c - 3 + 2*j**2. Calculate o(h(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1994 is divided by 45.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 2*y - 10*b + 7*b, 0 = -4*b - 8. What is the remainder when y is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10990 and 10985 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8. Suppose g*v - 8 = -2*v. Suppose 32 - 360 = -v*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + c**2 - c + 1. Let y(v) = 3*v**3 + 3*v**2 + 4*v + 1. Let p(z) = -2*t(z) - y(z). List the prime factors of p(-7).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -29712840 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*c = -84*c - 81*c + 3*p + 12, 2*p + 8 = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 3*p**6\/10 - 19*p**3\/6 + 15*p. Find the second derivative of x(z) wrt z.\nAnswer: 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -464 - -469. Suppose 55 = 6*a + z*a. Solve -5 = a*x + c, 4*x - x = 3*c - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 1, -18238, 0.1, 0 in descending order.\nAnswer: 1, 0.1, 0, -0.07, -18238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2270 - 1550. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 11584034?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27222.\nAnswer: 2, 3, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057817 is divided by 1822.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 320517, 123 in decreasing order.\nAnswer: 320517, 123, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Let x = 0 + r. Suppose 2*t + 96 - 80 = 3*m, -3*m - 4 = 2*t. Calculate the lowest common multiple of x and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 26 = -3*v, -19*v + 23*v = -h - 26 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 2:04 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.009 - -10.609. Let l = u - 5.6. Which is the nearest to 0.1? (a) l (b) -0.3 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10413.18 years to decades.\nAnswer: 1041.318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*v + 3*v. Let o(s) = 5*s + 77. Let y be o(-15). What are the prime factors of 1\/((v + y)*2\/(-262))?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) - (sqrt(245)*1*5)**2.\nAnswer: -6125 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2.5, 140\/19, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/30 - 7*r**4\/12 + 6*r**3 - 494*r**2 + 1. Suppose n(s) = 0. What is s?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1728931, 1728933, 1728935?\n\"Answer: 2*j + 1728929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325 - 325 = -2225*r + 11893*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (2\/(-4) - 671\/88*-1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11056 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 + (-1)\/(-2). Suppose 3*l + 3 - 6 = -y, -3*y + 9 = -l. Solve -y*v + 0*v + 6 = p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -512 + -3975?\nAnswer: -4387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30951078 and 21892?\nAnswer: 804728028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 take away 1871700812?\nAnswer: -1871700850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(3\/2)*d)*d**(-4\/9)*(d*d\/d**(-2\/7))**(5\/16))**(-11) assuming d is positive.\nAnswer: d**(1705\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*z - 20 = 2*z, 2*z + 6 = -h. Let s be 25 - (2 - (1 - h)). What is the units digit of s - 3\/6*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d + 1. Let k(z) = -2*z - 1. Let b be (-3 - (-30)\/9) + (-64)\/12. Calculate b*k(q) - 4*a(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**12*w**20*w)\/(w**(-4)*w\/(w\/(w\/((w\/w**(-2)*w)\/w)))) assuming w is positive.\nAnswer: w**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191947 - -3.7238?\nAnswer: -1191943.2762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 9:40 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 9*g + 12. Let u be i(10). Suppose -u*p - 20 = -4*c, p - 10 = 6*p. Suppose 36 = -0*h + c*h. Calculate the remainder when 26 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362*m - 855517 + 3411576 = -109*m. List the prime factors of m.\nAnswer: 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 557 = -r, 0 = 2*z - 3*r - 0*r - 375. Suppose -4*k - 1832 = -8*k + 4*p, 0 = -2*k - 3*p + 901. Let v = z + k. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 32680*x**3 - 80098680*x**2 + 87254162080*x - 35643325209680.\nAnswer: -5*(x - 1634)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*w - 23*w**2 + 24*w**2 - 2*w**2 - 2 as x*w**2 + r*w + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-5 - (5 + -12))) + (18 + 15 - 29).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijjjjiiijiijjjjicij. What is prob of picking 1 i and 3 j?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 114 = 48*v - 60 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 228*k**2\/5 + 2169644*k\/5 - 38064\/5 = 0.\nAnswer: -9516, 1\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 + 1 + 0 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9707 and 306.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/(45080\/(-336))*7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 2*y = 10*z + 11, -5*y = -4*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4*t - 101*c**4 + 2*c**3*t + c**3 - c**2*t - 78*c*t - 3*c - t wrt c?\nAnswer: -48*c*t - 2424*c + 12*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**4\/3 + 136*s**3\/3 - 988*s**2\/3 - 1120*s\/3 = 0.\nAnswer: -40, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25506713?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1506, -1579, -1652, -1725?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s + 12 - 8 + s**2 - 9. Give u(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 2, -147, -5, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c. Let x(z) = -55*z - 2920. Calculate t(x(s)).\nAnswer: -165*s - 8760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505 - 511 = -6*a. Let f = -116997\/79 + 1481. Is a not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:04 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205.5 - 205. Let m = -0.7 + 1. Which is the third biggest value? (a) m (b) 1 (c) 5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 360 - 359.41. Let d(f) = -f**2 + 18*f + 147. Let w be d(24). Is s > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492670463 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 -2\/89, 2\/5, -2\/15, -4?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 - v**2 - 2*v - 1. Let i be p(-1). Let u(j) = -9 + 0*j**2 + 47*j - i*j**2 + 4*j**2 - 33*j. What are the prime factors of u(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3))**(2\/25))**49*(w**(-5\/4)\/w)\/w**(-2)*(w**(-2\/9)\/w)**(1\/5) assuming w is positive.\nAnswer: w**(1907\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 (base 9) in base 2?\nAnswer: 101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 + 1. Let i be l(-1). Suppose -4 = 2*y - 0*y, 2*v = -i*y - 6. Suppose -u + v*u = 19. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -5. Suppose -2*q = 3*w - 21, 2*w + 6 - 7 = 3*q. Let g = 0.04 + -0.07. What is the closest to g in -0.5, q, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Let r = -12 - 10. Let i = r + 26. Let o = -23\/3 - -9. What is the third biggest value in o, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 3 + 2)*(-2*g + 2*g + g) + 292*g - 1300*g + 150*g - 824*g to the form w*g + h and give w.\nAnswer: -1685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 945060947*u**2 - 15107376*u + 16?\nAnswer: 1890121894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3*c + 5*c)*(2 - 2 - 3)*(-4*c**2 + 5*c**2 - 3*c**2).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*j**2 + 30*j**2 - 42*j**2 - 69*j**2 + 291*j**2 - 77*j**2.\nAnswer: 73*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 5. Suppose -x - 2*x = -12. Suppose 16 = 2*i - i - x*h, -16 = 4*h. What is p(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2761\/55 + (-16)\/(-20). Suppose -5*q - 7 - 3 = 5*p, 4*q - 4 = 2*p. Let n = p + s. What is the highest common divisor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7351 - 7349. Suppose -13 - 17 = -2*o. Suppose 3*r + o = 0, -2*f + 3*r + 93 = z*r. Calculate the greatest common factor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1484 + 1 = -135*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 3*z**3 + 5*z**3)*(-z - 3*z + 0*z).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 175 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450000 = -3*n - 0*s + 3*s, -750000 = -5*n - 3*s. Suppose -5*m + n = -7*m. What is m rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10. Suppose 4*k + 177 = l, l - 4*l + 3*k + 504 = y. Suppose -8*m + 5*m = -l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -14\/3*z**4 - 16\/3*z**3 + 4\/3*z + 2\/3 - 4\/3*z**2 - 4\/3*z**5 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -130*b. Let g(f) = 33*f. Let k(n) = a(n) + 4*g(n). Let p(t) = -2*t. Let x(y) = -y**3 + 9*y - 5. Let h be x(3). Determine h*p(c) - 6*k(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(252)\/sqrt(4))\/sqrt(9))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**5 - 5*m**4 + 7*m**3 - 5*m**2 + m - 1. Let v be (0 + (-6)\/8)*(7 + -11). Let c(t) = t**4 - t**3 + t**2 + 1. Let x(a) = v*b(a) + 3*c(a). Factor x(s).\nAnswer: 3*s*(s - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**3 - 7*p**2 + 30*p - 16. What are the prime factors of l(-10)?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 219588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -16*k**3 + 17*k + 4. Let r(c) = 33*c**3 - 35*c - 9. Let y(j) = -9*b(j) - 4*r(j). What is the second derivative of y(q) wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Let m = v - -6. Let j(s) = 25*s - 1. Let h be j(2). What is the highest common factor of m and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 b when three letters picked without replacement from nbebwnnwwwb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9786.635ml to litres.\nAnswer: 9.786635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.068471 - -0.3852.\nAnswer: 0.316729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/2 - 21*d**4\/2 - 36*d**3 - 34*d**2.\nAnswer: -d**2*(d + 2)**2*(d + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 6 = -k + 5, -2*k + 3*q = 738 - 737 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*z + 1042 = -6*p, 0 = 4*p + z + 844. Is p at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/2 + 23*x\/8 - 3\/4 = 0. What is x?\nAnswer: -6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 10. Determine q(16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -24982927.7?\nAnswer: -24982927.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Let s be ((-3)\/3 + 0)*1. Let p be 1\/(-4) + s\/(-4). Do 0 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -12. Suppose -50 = -3*j + w, -j + 10 = -6*w + f*w. What is the remainder when 33 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*h + 56*h - 20109 = -x, 0 = 3*h + 12. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 71 - (2 - -1 - -3)*(-20)\/30. Solve -z = 76*n - c*n - 4, 0 = 3*n - 2*z + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*(l**(-1)*l)\/l)**(-10)*((l\/l**(-2\/11))\/(l\/((l*l\/l**(-1\/3))\/l)))**(-5\/3) assuming l is positive.\nAnswer: l**(740\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/9 + 9512*m**4\/9 - 9514*m**3\/9.\nAnswer: 2*m**3*(m - 1)*(m + 4757)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 12. Suppose -u*v + 2*v = -15. Solve v*p + 0 = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -15. Let k(a) = a**3 + 4*a**2 - a - 2. Is k(j) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 4810.\nAnswer: -29\/4810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 320 = -3*l. What is the first derivative of l*w + 2*w**3 - 2 - 80*w wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392449.\nAnswer: 23, 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**2. Let o(g) = 8*g**2. What is o(h(s))?\nAnswer: 392*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 3. Suppose 3*u - 18 = 6*u. What is the lowest common multiple of (-132)\/w + u\/21 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 11) to base 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(9\/4)\/(g*g*g*g**(8\/3)*g*g*g)*((g**(-1\/6)\/g)\/g)\/g**5 assuming g is positive.\nAnswer: g**(-163\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-4 + 6 + -3 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d\/((d\/((d\/d**7)\/d))\/d*d)*d))\/d*d*d**(-7\/3))\/(d**(-5)\/d**(1\/5)))\/(d**(-1\/4)\/(d*d*(d**(1\/4)*d*d)\/d)*d**4*d*d**(-4\/9)) assuming d is positive.\nAnswer: d**(703\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 7 - 154*z + 127*z - 37*z - 79*z in the form q*z + i and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 8 = -17*s + 14*s. Is s equal to 237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*k + 170*f**3 + 46295*f + 59501010*k wrt f.\nAnswer: 3*f**2*k + 510*f**2 + 46295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -102 - 348. Is 31 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 2*x**2 + 1\/24*x**4 + 0 - 1\/6*x**3 + 1\/15*x**5 + 0*x. Let b be k(-2). Solve 4*a + b = -3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.0093 + 29. What is f rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35005503 + 10?\nAnswer: 35005513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 286 = -4*t, 5*t = 4*s + 502 - 150. Let d = t + -71. Sort -4, 5, 3, d in decreasing order.\nAnswer: 5, 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.2. Let k be 175\/6 - (-3)\/9. Let r = 1125\/38 - k. Which is the closest to -1? (a) p (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88956, -89014, -89072?\nAnswer: -89130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -0.4, 5\/4, 3, 6, 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r**2 + 4*r**2)*(25*r + 25*r + 23*r) - 2*r**3 + 0 + 0 - r**3 - r**2 + r**2.\nAnswer: 143*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -314, -299, -282, -263, -242?\n\"Answer: a**2 + 12*a - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -640 + 1197. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 56*q + 1006. Give a(13).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01932 to four dps.\nAnswer: 0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 7.1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Suppose -5*a = 2*x - 6, -4*x + 30 = -3*a + t*a. Let i = 534 - 525. Calculate the least common multiple of x and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 9*v + 13. Let w be d(-10). Suppose w*u = -u. Suppose 0 = -3*y - u*q + 3*q + 57, -25 = 5*q. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let t = -2 + 1.8. Which is the nearest to n? (a) -2\/13 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 2, z: 1, c: 1, e: 2, t: 2}. What is prob of picking 1 e and 2 t?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 98 - 9\/40*n**5 + 1\/16*n**6 - 9\/4*n**2 + 3\/2*n + 11\/8*n**3 - 3\/32*n**4. Factor p(c).\nAnswer: 3*(c - 2)*(c - 1)**3*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11155851.\nAnswer: 3, 7, 23, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2008 - -2021. Let m = 21 - 18. Suppose 5*a = 2*p - 19, 3 = -2*a - m. Solve 26 = 3*t + 4*o, -p*t + t - x = -3*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14803 (base 16) in base 10?\nAnswer: -83971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, and 1 v when three letters picked without replacement from kkvjkkkiukwkwijkkw.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 1 + 9, -60 = -2*y + 3*s. Let b = -12.2 - -12.1. Which is greater: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28906 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50 and -785777804.\nAnswer: -785777754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54320907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -5\/3, 0.5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/49254235 and -9\/40.\nAnswer: 394033880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 7\/33, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 263 = -4*z + 131, z = 3*m + 104. Let f = -2584 - -2654. What is the greatest common divisor of f and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - y**2 - 5 - 2*y**2 + 5 + 2*y**2 + 0*y**2 - y**2 + (4 - y - 4)*(4*y - 4*y + 2*y) - 5*y**2 + 0*y**2 + 3*y**2 + y**2 - 4*y**2 + 4*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:48 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -587.02 + 542.2. What is a rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 2*h**2 - 2*h + 2. Let q be (1\/2 - 1)*-8. Suppose -2*b = -2*v, -v + 5 = -q*b - 1. Determine z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 f when three letters picked without replacement from uxzuuqzooofqfffz.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*f - 87 + 3, 0 = 4*b + f - 112. Solve -b*z = -25*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26207325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 - (4 + 1 + 0 + 4 + -1178 + 1154).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2719574 - -3.90234.\nAnswer: 2719577.90234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10189 and 14176.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 116 = 3*c. Solve -8*l + 4*l + 4*a - 4 = 0, 0 = -2*l + c*a - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70 + 1*(-3 + -1)\/(-4). Suppose 2*u = -i + 816, -4*u + 1557 + j = 4*i. What are the prime factors of u?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 605, -12, 0.27?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14080 + 13937.03. Round k to zero dps.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 45 = y, -3*a - y - 3*y + 140 = 0. Let h(g) = g**3 + 4*g**2 - g + 4. Let m be h(-3). What is the highest common factor of m and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 6*c - 6, 1 - 12 = 2658*c - 2659*c - 3*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 11 = 2*t + 2*g, -15 = -5*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*g = 74, -2*z + 17 + 37 = -5*g. Which is greater: 21 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.7 + -131.3. Let k = i - -131. Sort k, 0.4, -0.1, -4\/3 in descending order.\nAnswer: 0.4, -0.1, -4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17185, -137536, -464213, -1100380, -2149201, -3713840, -5897461, -8803228?\nAnswer: -12534305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64318? (a) -5 (b) -3 (c) 2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16994, -16794, -16596, -16400, -16206?\n\"Answer: -q**2 + 203*q - 17196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -32 + (-3588)\/(-60).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -46. Suppose -20 = -4*d + 3*d. Suppose 0 = 3*g - 4*x - 26, 4*g + 0 = -2*x + d. Calculate the greatest common divisor of g and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 4*v**2 - v. Let l be p(-4). Let o = -5 + 2. Which is the nearest to o? (a) 0.2 (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3 + (3 - 5 + 1)*(-4 - 4 + 0) + 3 - 3 - 1)*(40 - 40 - 57*j) in the form u + f*j and give f.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 0, -4, 11, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*v - 4, 2*k - 5*v + 6 = 6*k. Suppose 12 = -5*g + 4*l - 8*l, g = -k*l - 12. Factor 0*f**2 - 2\/9*f**3 + g + 0*f.\nAnswer: -2*f**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 0 - 22\/7*v**3 + 6\/7*v - 19\/7*v**2 + v**4 + 4\/7*v**5 = 0.\nAnswer: -3, -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 103. Suppose -4*p + k*s + 195 = 0, 87 = -2*p + 4*p - 5*s. Calculate the lowest common multiple of 10 and p.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1786 = -3242*t + 3313*t + 5288 + 2178 for t.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = 0, 10*r - 4*h = 11*r - 25. Solve -2*m + 12 = 20, -4*m - r = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i)\/i**(-3\/8)*(((i*i*(i\/i**9)\/i)\/i*i)\/i*i*i)\/((i*(i*i**6)\/i*i*i)\/i) assuming i is positive.\nAnswer: i**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/6 + 20*r**3\/3 + 35*r**2\/2 - 198*r. Let d be q(-20). Solve 0 = -31*p + d*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 6*y + 5. Suppose -16 = -2*k + g, -k - g + 2*g = -10. Suppose -k*t + 9*t = 18. What is the units digit of u(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 16*h**2 - 21*h + 38. Let i be p(15). Let l = i + 116. Calculate the greatest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 11}. What is prob of picking 2 s?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2984*k - 30365 - 6392 - 13965 = 8958 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4041691267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + -117. Which is the closest to -1? (a) 0.2 (b) 0.29 (c) u (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 14 = 2*m - 2*u, -4*m - 2*u = -28. Let d(j) = -j**3 + 6*j**2 + 7*j + 4. Let o(x) = -2*x - 4. Calculate the remainder when d(m) is divided by o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 1. Let s(o) = 3*o**2 + 2*o - 2. Calculate 2*b(z) + s(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*h**4*z**3 - 5*h**4*z + 4*h*z**3 - 4*h*z**2 - z**2 wrt h?\nAnswer: 396*h**2*z**3 - 60*h**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u + 652 = -18 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 454828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, 1, 15?\n\"Answer: 14*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 54202*t - 813026. Give g(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) + (sqrt(77) - -1*sqrt(77))\/sqrt(11))**2 + 6*(0 + sqrt(7) + -1)**2.\nAnswer: -12*sqrt(7) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.11 (b) -3\/2 (c) 3\/7 (d) 6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 11:03 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwwlwlwllwlllllll. Give prob of sequence uw.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/216 + -323\/216. Which is the closest to k? (a) 6 (b) 0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -22031120230?\nAnswer: 22031120232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41.17 from 4563.\nAnswer: 4604.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 3*s + 1535. Is r(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*24\/90*5\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 - 84 = 4*a, 0 = -a + 3*h - 35. Let z(r) = -27*r - 460. Calculate z(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttoo when four letters picked without replacement from {o: 2, y: 7, t: 4}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*(sqrt(15) + sqrt(1500)))\/(sqrt(500)*2))**2.\nAnswer: 3267\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 10:08 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -125 - 203. Suppose 10*r = 4*j + 6*r - 144, q = 2*j + 3*r. Calculate the remainder when 111 is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 30202818.\nAnswer: -5, 0, 30202818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167701, -167696, -167691?\nAnswer: -167686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -240*l - 227. Let b be o(-5). Are 976 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4336\/81 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646636 is divided by 646598.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 l when four letters picked without replacement from llttllttttltt?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324427 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 1:45 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2011382 kilometers in micrometers?\nAnswer: 201138200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1586334.43 + 113?\nAnswer: -1586221.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.075425ug?\nAnswer: 0.008075425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c - 0. What is the second smallest value in 2, c, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 3*k - 4. Let v = -171 - -167. Calculate h(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, -5.\nAnswer: -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 45310*l - 4 + 4 + 44053*l to the form z*l + f and give z.\nAnswer: -1257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/118650 and 79\/600?\nAnswer: 474600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5291 and 429?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 77*z + 66. Let s be ((-342)\/(-152))\/((-3)\/(-8)). List the prime factors of n(s).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9175660 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7584 - 5238. Suppose 0 = 21*d - i - 1686. Suppose 0 = 4*l - 6*n + 2*n - 48, 3*l - 2*n = 40. Calculate the greatest common divisor of d and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 48*t**2 + 225*t + 435. Determine a(-43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 - -180. What is the remainder when 124 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**7\/2520 - x**6\/300 + x**5\/150 + x**4\/6 + x. Let q(j) be the third derivative of g(j). Factor q(f).\nAnswer: (f - 2)*(5*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 201*z**2 - 7*z + 311. Determine p(0).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + r + 20, 3*r = -2*f - 0 + 6. Let s = -138 + 178. Let k = -39.5 + s. What is the closest to 0.2 in f, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from llllxxxxpxxxlllxxjl?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 3*l**2 - 1986*l + 15568. Determine h(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -336 + 5?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 6, 2\/7, -3, -1\/232?\nAnswer: -1\/232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, -0.8, -2\/3, 1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 40791170 to the nearest one hundred thousand.\nAnswer: 40800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 6. Let u be z(5). Let y be (-310)\/(-4)*u\/(-5). Let j = -39 - y. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 32. Calculate the remainder when 21 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/(-12))\/7)\/((-195)\/(-1820))*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/5)\/(2\/(-20)). Calculate the remainder when (-16)\/(-3) - (-4)\/p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-13)\/((-182)\/(-3))*14\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14990 and 38974.\nAnswer: 194870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 133*v + 1. Let r(i) = -84*i. What is a(r(c))?\nAnswer: -11172*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**4\/4 - 687*k**3\/2 - 26895*k**2\/4 - 69999*k\/2 - 28620 = 0.\nAnswer: -10, -8, -1, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7545 is divided by 81.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4898*h**5*j**2 + 121*h**4*j - h**2 + 1296*h*j**2 - 106*h wrt h?\nAnswer: -293880*h**2*j**2 + 2904*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -1 + -2 - sqrt(320) - ((sqrt(450)*-1 - sqrt(450) - sqrt(450))\/sqrt(10))\/sqrt(9))*-5)**2.\nAnswer: -450*sqrt(5) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/5 - 118899*s**2\/5 - 54493560*s - 30370758000.\nAnswer: 3*(s - 41833)*(s + 1100)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*c - 5, 3*k - 7 = 3*c + 23. Let z(u) = 9*u - 2*u**2 - 7 - 2*u**2 + 3*u**2. What is the tens digit of z(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*o**6 + 559*o**5 - 287*o**2 - 12*o wrt o.\nAnswer: -9840*o**3 + 33540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.0209l in millilitres?\nAnswer: 30020.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1490.11+609\nAnswer: 2099.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*y**3 + 44*y**3 + 37*y**3 + 41*y**3 - 31*y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f - 8. Let o = -82 - -83. Let s(m) = m - 1. What is o*w(l) - 6*s(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a - 15 = 0. Let m(d) = 9 - d + a + 2*d. Is m(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37254 and -419.\nAnswer: 15609426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 - 3*m**5 + 4*m**5 + (m**4 + 2*m**3 - 2*m**3)*(-m - m + 4*m) - 26 + 26 + 9*m**5 + (-m**4 + 2*m**2 - 2*m**2)*(-m + 3*m + 0*m).\nAnswer: 11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 114087740 to the power of 1\/2, to the nearest integer?\nAnswer: 10681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*v - 4*v - 24, 4 = -4*v - 5*w. Let d(y) = -y - 2. Give d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7661344408?\nAnswer: 2, 67, 1879, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.381375 rounded to 2 dps?\nAnswer: -12.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 5521 + 29023. Calculate the highest common divisor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - y + 2*y + 6, 41 = 5*b + 4*y. What is the second derivative of -p**3 - p + 11*p**b + p**3 + 16*p wrt p?\nAnswer: 220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x + 8. Let w be p(-7). Let l(b) be the third derivative of -b**5\/60 + b**4\/6 + 7*b**3\/6 + 3*b**2. Let f be l(5). Solve -f*u - w = 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1568 + 2902. What is the greatest common divisor of 58 and i?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -32. Let h(l) = l**2 - 5. Let q be 6\/(2\/((-16)\/(-6))). Let r(w) = 2*w**2 - 8. What is a*r(s) + q*h(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 896 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g - 7. Let r(k) = 11*k + 8. Let h(d) = 6*m(d) + 5*r(d). Suppose 2*n + 9 = -2*x - 9, -2*n = 3*x + 22. Is h(x) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/1591*(-521762)\/(-18201).\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31688626173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02475 rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -26*(-1)\/8 + (-33)\/(-44). Suppose 7*g - v*g = 315. Let t = 134 + g. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95992, -95924, -95856?\nAnswer: -95788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -23 - 25 - -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -22 (c) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.049 * -530\nAnswer: -25.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3875)\/6975*(135\/12)\/(-5)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (132\/(-28) - -3)*(-11 + 4). Calculate the highest common divisor of 30 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403214 to the power of 1\/2, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**3 + 204*c**2 - 872*c - 2544 = 0.\nAnswer: -106, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.77 + 1.27. Which is the closest to 0.1? (a) -2 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233277 (base 8) to base 16\nAnswer: -136bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/36 + (-8)\/36 and 277\/(-45) + (-2)\/5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10322 and 317902.\nAnswer: 126207094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-nine halves of a gram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose 3*j = -0*j + 54. Let g = 23 - j. Solve 0 = -g*k + m + 2*m + 31, -i*k + 22 = -m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -727*k*u**3 + k*u**2 - 3*k - 19 wrt u?\nAnswer: -2181*k*u**2 + 2*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 632 - 67. Let b = v - 198. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72674907 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o**(-3)*o)\/o*o)\/o*o*o*o)**(-3\/2)\/(o**(-4\/9)*o*(o\/o**1)\/o) assuming o is positive.\nAnswer: o**(-19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {y: 4, h: 9, k: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -85*n. Suppose -8*v = -391*v - 1149. Let z(i) = 7*i. Let o(b) = -b - 35. Let m be o(0). Determine m*z(s) + v*x(s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/10*(-45)\/(-27). Suppose 3*c - m*c - 29 = 0. Solve 2*l + 0*z = 5*z + c, 25 = -5*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -12. What is the greatest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 6*p**2 + 3*p - 33. Let i be q(-14). Let b = 14961\/10 - i. Find the common denominator of 19\/6 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 17. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-3 - 3 + 5) + (-1 + 2 + 0)*(1 - 4 + 1))*(-4*p**2 + 9*p**2 + 3*p**2)*(-2*p**3 + 5*p**3 + 5*p**3).\nAnswer: -256*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4132495 or -4132491?\nAnswer: -4132491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 2:58 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7622 + 437?\nAnswer: -7185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -94. Let v(m) = 6*m - 18. Let b be v(z). What is the highest common divisor of 36 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 74. Let k = -28 - f. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3896 - 3880. Solve -3*j = 13*j + v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, u: 7}. Give prob of sequence vuvu.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1755)\/650)\/((-6)\/5)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (2 + (5 - 6) + -6)) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**2 + 719056*m + 32315095696 = 0.\nAnswer: -89882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - m. Let q be 144\/(-56) - (-8)\/14. Let d be g(q). Which is bigger: d or 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -328\/5 - -1327\/20. Are a and -7\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*m - 117 = -8, -3*m = 5*q - 146. Let d = -13 + q. Calculate the smallest common multiple of d and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 4*c - 1. Suppose 0 = a - 3*t, 8*a - 2*t = 3*a - 13. Let n be w(a). Solve -n*f = -2*l - 5, 6*f - 3 = -l + 3*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 12 = -4*a, 5*b - 3*a - 63 + 31 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {u: 1, k: 1, o: 4, l: 1, e: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 40\/61557977 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-113850)\/36432)\/((-5)\/16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -696, -920, 0.053 in ascending order.\nAnswer: -920, -696, 0.053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 896835626.695\nAnswer: 896835628.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 157843, 157749, 157587, 157351, 157035, 156633?\n\"Answer: -c**3 - 28*c**2 - 3*c + 157875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + 92. Suppose -4*p + 109 = 5*q, 2*q = -3*q + 3*p + n. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 + (-5 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/13600596 and 127\/129942.\nAnswer: 40801788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-310 + 112 + 101)*(0*c + 2*c + 0*c)*(7*c + 882 - 882)*(-1 - 2 + 2) in the form s*c**2 + x + j*c and give s.\nAnswer: 1358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqmwwfumfm. What is prob of sequence fq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10*d**2. Let c be (-106)\/(-22) + (-4)\/(-22). Let b(i) = i - 3*i + c*i + 0*i. Determine a(b(k)).\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -1.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6180.3 - -6180.4. Suppose 2*k - 9 = -k. Which is the closest to -2? (a) k (b) -1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f + 4. Let c be ((-45)\/15)\/((-3)\/32). Suppose -m - m + 5*t = c, 2*m = -5*t + 8. Calculate p(m).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/7 - 418*f**3\/7 - 2592*f**2\/7 - 2176*f\/7 = 0. What is f?\nAnswer: -8, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**9\/37800 - j**7\/6300 - j**4\/12 + 5*j**2. Let n(d) be the second derivative of c(d). Find l, given that n(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.2211us in minutes?\nAnswer: 0.000003903685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 19*k - 89. Let r be l(5). Suppose -25985787 - 26514213 = -r*t. Round t to the nearest one hundred thousand.\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 118*r**2 - 4*r - 3. What is m(-1)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -191800?\nAnswer: -1917d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 13*t - 22. Let o be u(-11). Suppose o = -4*v + 5*r + 24, 2*v + 4*r - 3 = 9. Solve v*x + 0 = -18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 2398155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 26 + 0*m**2 + 9 - m + 3*m to z + q*m**2 + t*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 16*c - 73.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -34*n - 42. What is the tens digit of k(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + -7 - -40) + -1 + 4 + -47\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 427*k**2 + 8*k - 2. What is the units digit of g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 545 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 j(o) be the second derivative of -2*o**6\/15 + o**4\/12 + 26*o. What is the third derivative of j(d) wrt d?\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 1028 + 28 = 0. Let k = 5 - 26. Let n = k + 32. Calculate the highest common divisor of n and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3. Let a be f(0). Suppose -3*d + a*d + 15 = 0. Sort -1, -5, d in ascending order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4095 divided by 105?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {s: 3, k: 5, g: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421699.\nAnswer: 421699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1928 and 1300.6.\nAnswer: 3228.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (8 - -4) + (910 - 843)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*20\/(-35)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1428472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101225001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*h**2*o**4 - 463938*h**2*o**2 - h**2*o + 2*h**2 - 451944*h*o**6 + 2*h*o**2 + 15*h + 2*o wrt o?\nAnswer: 2472*h**2*o - 54233280*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + -1 + 0. Suppose 0 = 4*k - 2*j + j - 113, k - j - 32 = l. Calculate the remainder when k is divided by ((-6 - -4)*1 - -9) + (-21 - -24).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 99562032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41589*o**4*x**2 - o**4 - 43*o*x**2 + 3180*o*x - 7*x**2 wrt o.\nAnswer: -499068*o**2*x**2 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*b = 10 - 24, -2*b + 13 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*d = 169*d - x + 9, 3*d + 28*x = -153 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v + 5*u = 8*u - 138, u = -3*v - 0 + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 82 + -163 + (-14 - -83)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758386611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and 3577.\nAnswer: -5723.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -160502.\nAnswer: 1\/160502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -191, -290, -449, -668, -947, -1286?\n\"Answer: -30*a**2 - 9*a - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-0.022605.\nAnswer: -0.13563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420770 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 15*x**2 + 143*x + 22. Determine r(-7).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 16*p - 44. Let f be a(-12). What is the remainder when 0*f\/(-24) + 89 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -517825641*o**4*u + 2*o**2*u - 11*o**2 + 24*o*u - o + 18*u + 117 wrt o?\nAnswer: -12427815384*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201574 + 201624.0021. Let a = d - 50. Round a to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66.1 - 83.12. Let s = 17.0200761 + q. Round s to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - sqrt(396)\/(sqrt(60)\/sqrt(5)))\/(sqrt(77)\/(sqrt(7) + sqrt(7)*3 + sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11812395 is divided by 2173.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77.6 + 76. Is t smaller than 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38774 divided by -3?\nAnswer: 38774\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**1))\/x**5)**(1\/13)*(x*x*x**(-2\/13)*x*x**(-1\/4))**(4\/9) assuming x is positive.\nAnswer: x**(9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**4 + 60*q**3 - 264*q**2 + 320*q = 0. Calculate q.\nAnswer: 0, 2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*13 - (-13 + 12). Suppose -5*w + n = -42, -3*n - c = -2*w - 5. What is the remainder when 16 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*a - 45*a - 3*y - 687 = 0, y = 4*a - 544. Suppose -z + 0*s + a = -s, 0 = 5*s - 25. Calculate the remainder when z is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = k - 74 - 42, 332 = 3*g - k. Suppose 5*h + 0*h = 2*y - 224, g = y + 4*h. Let t = -24 + 40. What is the greatest common divisor of y and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 260721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 0*v**2 - 2*v**2)*(5 - 2 - 1)*(4*v**3 - 3*v**3 + 3*v**3).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/754 and 80\/19617.\nAnswer: 1137786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = -3*z - 369, -g = 4*z - 223. Calculate the remainder when 795 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.4 (b) 38\/5 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 4:04 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169019, 169120, 169221?\nAnswer: 169322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532085 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c*o**2 + 626*c*o + 176457087*c - 3*o**2 + 374*o wrt o.\nAnswer: -14*c*o + 626*c - 6*o + 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 19133035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/75, -1\/3, 53, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 162074029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4\/8 - 3*c**3\/4 - 45*c**2\/2 - 69*c - 60 = 0. Calculate c.\nAnswer: -4, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -132350 divided by -2647?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/77154 and 121\/41082.\nAnswer: 3163314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 4. Let t(o) = o**3 + 11*o**2 + 27*o - 1. Let n be t(-7). Suppose 55 = -n*u - 35. Let d(v) = 5*v - 15. Determine u*a(p) + 4*d(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)\/(((-3)\/6)\/(-1)). Suppose 3*w + 45 = 12*w. Let l(m) = m**3 - 5*m**2 + m - 3. Let n be l(w). Solve 4*u + 0 = -h*s + n, 3*u - 2*s + 9 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 + 4166*y**2\/7 + 16496*y + 115080.\nAnswer: 2*(y + 14)**2*(y + 2055)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 489 + -486. Let k = -2 - -5. Suppose 0 = k*s - 0 - p. Solve -l + 3 = s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 10:20 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - h + h)*(3575 - 1542 - 1225)*(-5 + 2 + 2)*(h**2 + 4*h**2 - 2*h**2)*(2*h + 3 - 3) in the form n*h**2 + j + d*h**3 + l*h**4 + k*h and give l.\nAnswer: 4848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 70\/3)\/((-9)\/(-54)). Suppose -l - l = -g. Calculate the remainder when l is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:31 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2490 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + i = 89, -2*l + 173 = -i + 4. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 1565*v**2 + 18985*v + 55800 = 0.\nAnswer: -2232\/313, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:24 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyd when three letters picked without replacement from dyuuyuuuyyuduyydu.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4 + 362021998*j**3 + 250109823*j**2.\nAnswer: -24*j + 2172131988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -300295, -300384, -300473, -300562?\n\"Answer: -89*l - 300206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1087 + -0.1087. Let a = -1.1 + 0.4. Sort z, -5, a in ascending order.\nAnswer: -5, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 3*w + 2*x + 10, 2*w - 25 = 5*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (301*x + 289*x - 2 - 656*x)*(0 + 0 - 1).\nAnswer: 66*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455273575?\nAnswer: 5, 18210943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.62 + -2.42. Let m be 5\/(-2)*64\/(-240). Put m, 1, w, 26 in increasing order.\nAnswer: w, m, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 52*w**2 + 57*w - 155. Let p be u(53). What is the greatest common divisor of 513 and p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -17*z**2 + 5*z + 4. Let k(h) = 33*h**2 - 10*h - 7. Calculate 3*k(y) + 5*q(y).\nAnswer: 14*y**2 - 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5. Suppose -2*n + n + 2 = -a, -m*n = -a - 22. What are the prime factors of a\/(-2)*10\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.4 (c) -7556 (d) 5 (e) 3 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 1:28 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 5*w**2 - 4*w + 5. Let u be y(4). Suppose -4*t - 204 = -5*l, -u*l + 0*t + t = -201. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + 3318\/189)\/(24\/(-216)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 17. Let z be a(8). Let p be 7*2\/(-2)*z. Find the common denominator of -91\/4 and (-2)\/p - (-197)\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 14696.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15571973?\nAnswer: 181, 227, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 7. Let n = -155 + 152. Let j(o) = -3*o + 6. Suppose 122*x + 69 = -175. What is n*j(m) + x*w(m)?\nAnswer: m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + d + 1. Let v(p) = -3*p**3 + 9*p**2 + 9*p + 9. Give -9*t(c) + v(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 2*k + 4. Let b be z(3). Let g be 7*(b - (0 + -1)). What is the greatest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 0*z**2 + 0*z**3 + 0*z + 2*z - 2*z**2 in the form h + g*z**3 + w*z + t*z**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2 and (3\/9)\/((-8)\/(-888))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12709*o - 1085 wrt o?\nAnswer: -12709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -373 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2. Let h(p) be the second derivative of 95*p**4\/4 - 38*p**3\/3 - 42*p. Let o(d) = 19*d**2 - 5*d. Let t(i) = -5*h(i) + 76*o(i). Give u(t(v)).\nAnswer: 361*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(153) - (sqrt(153) + (2 + -1*sqrt(153))**2) - (sqrt(153) - (sqrt(153) + 1 + sqrt(153))*-2)**2) - (-3 + 2*2*sqrt(153) + -1))*-6.\nAnswer: -143532 - 2160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/11)*d*d\/d**(-4))\/((d**(-2\/11)*d)\/(d**(-20)*d*d)) assuming d is positive.\nAnswer: d**(-139\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1396\/3)\/((-80)\/(-12) + -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 13 = z. Suppose -2*n - 3*n + z = -r, 3*n = r + 9. Suppose -65 - 28 = -r*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1908*d**2 - 950*d**2 - 958*d**2 + 286*d**3 - 291*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062841 to 5 decimal places.\nAnswer: 0.00628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 + -0.241?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, h: 2}. Give prob of sequence eheh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21515 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/42 - (-3 + 16*(-42)\/(-196)))\/(-13)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 6*t - 3. Suppose -5*x + 17 = 7. Suppose 0 = 2*i - 4*w + 2*w + 24, 5*w = x*i + 33. List the prime factors of g(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {q: 2, x: 2, o: 1, c: 1, u: 1, v: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6008132 divided by -43\nAnswer: -139724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) + (-38)\/(-42). Let l be 5\/(-2)*(1680\/50)\/(-12). What is the nearest to -0.5 in l, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*z + (-30*z - 49 + 49)*(1 - 2 + 3) to the form y*z + q and give y.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16997441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -102\/5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - 6.9. Let q = 21 + k. Let y = 13.99945 - q. Round y to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from uuwuudd.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**2 - 1 + 4*g**2 + 2*g + g**2 + 2*g**2. What is m(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1703 times -5\nAnswer: -8515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 542*262\/142004*((-4)\/(-6))\/((-4)\/(-678)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 5528*u + 3819848.\nAnswer: 2*(u + 1382)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/42)\/((-3)\/9*1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*d**3 + 980*d**2 + 45*d - 45 = 0 for d.\nAnswer: -3, -1\/4, 3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7118.2 + -7118. Which is the closest to q? (a) -15\/2 (b) -5 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 - -86. Let t = f + 412\/5. Let l = 14 + -12. What is the nearest to l in 0.3, t, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*x + 395, -4*x - 521 = -5*b - 27. Let k(m) = m**2 - 2*m + 3. Let o be k(6). Let z = o + -13. What is the highest common divisor of b and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**2 + 4*q**2 + 23*q**2 - 3*q**2 - 12*q**2. Let x(m) = -17*m + 34*m - 7*m. Calculate o(x(f)).\nAnswer: 2000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcttct. What is prob of sequence ctt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) 2\/181 (c) 3 (d) -209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - z + 1. Let o be t(1). Suppose 0 = -3*k - 3*l, -k - o*l = -4*l + 6. Sort 2, -3, k in ascending order.\nAnswer: -3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from rjrrjrjkicrkr?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 82.43617 kilometers?\nAnswer: 8243617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l - 7. Let z be w(7). Let u be 133\/(-57) + 156\/9. Is u bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*i**2 + 96*i**2 + 13*i**2)*(4*i**3 - 6*i**3 + 0*i**3) + (-i + 0*i + 3*i)*(-2*i**4 + 2 - 2) + 4*i**5 - 3*i**5 + i**5 - 79*i**5 + 163*i**5 + 225*i**5.\nAnswer: 145*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(2057)*1 + 5)**2 - (1*(sqrt(136)*1 + sqrt(136) + sqrt(136))\/sqrt(8) + sqrt(102)\/(sqrt(6) + sqrt(768)\/sqrt(8)))**2.\nAnswer: 88*sqrt(17) + 47348\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/36 + -10\/9. Let w = -2 - -1.9. What is the closest to w in x, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 7*k + 23. Let q(u) = -u**2 - 3*u + 11. Let y = 1 + -25. Let c = y - -21. Let w(t) = c*j(t) + 7*q(t). Differentiate w(z) with respect to z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -4 - 15 - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*x = -3*d - 36, d + 3*x + 4 = 0. Let w = d + -1. Suppose -w*h + 165 = 11. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -a + 4*f, -5*f - 5 = 0. Let r = a - -2. Suppose v + r*v = 0. Is -6\/5 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3704*r + 29. Let p(z) = 5555*z - 46. Give 8*a(b) + 5*p(b).\nAnswer: -1857*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 6*k**2 + 2. Let p(s) = -s**3 - 9*s**2 - 13*s - 6. Let j be p(-5). Let r = j - -47. Determine u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 2, x: 1, k: 1, v: 3, t: 3}. What is prob of sequence cttx?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127.9 - -128.9. Which is the second biggest value? (a) 1\/5 (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 5*r**2 - r. Suppose 0 = -4*t + 4, 3*b - 19 = -4*t - 0*t. Give q(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - k - 1, -8*k = -5*j - 12*k + 30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -24*l + 19*l + 15050, -15 = -3*g. Suppose -762 = -10*c + l. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 6078.\nAnswer: 66858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.770501882 - -1.7511293. Let h = 130.019498582 + s. Let u = h - 130. What is u rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 9*g**2 + 86*g - 4. Calculate b(15).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 200 + 4160. What is b rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s = 3*b + 56, 0 = 4*b. Let z = 19 + -11. Suppose 0*w - z = -w. Calculate the greatest common factor of s and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2)\/((-3)\/(-3)). Suppose -o*f + 5*t = -f - 39, -f = -5*t - 17. Suppose -58 = -3*l - f. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 16699650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**3 + 5*r**3 + 8*r**3 + 6*r**3 - r as f*r + h + u*r**2 + i*r**3 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 322741.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -350 + 349. Let a be ((-40)\/(-570))\/((-1)\/(15\/(-14))). Let q = a + 11\/133. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 16*s**2 + 3*s + 2. Let c = 7 + -13. Let k be n(c). Let t be k\/3*45\/(-10). Round t to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 4*d. Let v(x) = 39517*x. Give v(j(w)).\nAnswer: 79034*w**2 + 158068*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/32 and 10449\/12780 - (-28)\/(-35)?\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 + 3 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 12, 4043 = -2*m + g + 104124. What are the prime factors of m?\nAnswer: 11, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1\/3 in descending order.\nAnswer: 5, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283880 and 79124.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 10. Let y = t + 10.5. Let u = -0.49964 + y. What is u rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 95 - 9485*i.\nAnswer: -9485*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85\/342 + 1\/38. Let m = -20 - -138\/7. Which is the third biggest value? (a) g (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13200 divided by 600\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 280 - -121. Let l = c + -339. What is the greatest common factor of 434 and l?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1331 - -5293. What are the prime factors of x?\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55410509095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13cc2 + -5?\nAnswer: -13cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8922672, -8922674, -8922676?\n\"Answer: -2*f - 8922670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3131 (base 4) to base 8.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1)*(-3 + 3)\/1. Suppose 0 = -5*x - 0*x + 15. Solve h = x*o - 0 - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(21\/2))\/g*g**23\/g assuming g is positive.\nAnswer: g**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-178)\/(-445))\/(427\/(-610))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -873 + 2614. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/36 - (-14489)\/36. Suppose u - q - 395 = 0, 2*u + q - 781 = 6*q. Let l = u - t. What is the common denominator of 21\/10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 307.964 * 3.8\nAnswer: 1170.2632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.08. Let u = s + 0.32. Let b = 0.2999997 - u. What is b rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 4. Let k be h(-8). Let c = k + -4. Find the second derivative of c*a**3 + a**3 - 2*a**3 + 2*a wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*240\/(-200)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/7))\/l*l\/l**(2\/19)*l**(-4)\/(l\/(l*l*l**(-7))) assuming l is positive.\nAnswer: l**(-1230\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 31*z**2 + 29*z**2 + 0 + (-4 + 4 + 1)*(-4*z**2 + 2*z**2 + 0*z**2) in the form b*z + q + w*z**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*h. Suppose -6900 = 4*y - h*y. Let a = y + 17153\/10. Calculate the common denominator of -27\/14 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjkkjj. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41262.88 rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 74317282 times -0.2\nAnswer: -14863456.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2. Let n(h) = 3*h + 2*h - 3*h + 0*h. What is s(n(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -398611014 divided by 199305507.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**2 + x + 7. Let h(t) = -5*t**2 - 2*t - 4. Let y(n) = 6*n**2 + 3*n + 5. Let o(u) = -3*h(u) - 2*y(u). Suppose 10 = l + 3. Give l*o(j) - 2*f(j).\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(48) + sqrt(30)\/(sqrt(90) + sqrt(10)).\nAnswer: -15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -50*u - 32. Let b(g) be the first derivative of -13 + 1\/2*g**2 - u*g. Let k(a) = -2*a + 2. Determine 5*b(j) + 4*k(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 40*r = -6. Let w be 4 + 2 + 6\/r. Solve w*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0627652 hours?\nAnswer: 225.95472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 + -12.4. Let z = x + 13.93. Let o = -0.1482 - 0.3518. Which is the biggest value? (a) z (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p**2 + 33*p**2 - 65*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 28*v**2 - v - 2. Let h(z) = -22*z**2 + 2*z + 3. Let w(s) = 3*a(s) + 2*h(s). Give w(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**2 + 2*b + 3. Let n = -10956 - -10958. Let d(j) = 39*j**2 - 10*j - 16. Give n*d(q) + 11*i(q).\nAnswer: -10*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shsshsrsslhusslrs. What is prob of picking 1 l and 1 r?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 5*i**2 + 3*i + 1. Let p be t(-3). Let n = p - -65. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713226 is divided by 217.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -11.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 1. Let n = 1 + -2. Let i be u(n). Solve v + i = 0, 4*o = -2*v - v - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-447 + -12)\/(-1 - 0\/(-2)). Let h be 1 - 278*(-5)\/2. Let m = h - d. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -17\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 156506240 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 22*f**2 - 15. Calculate d(22).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71\/690 + 1\/345. Which is the smallest value? (a) 4 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 75\/2 of a century?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37587 - 33a2?\nAnswer: 341a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 9*u - 4*b + 92, 0 = 3*u - 4*b - 292. Suppose -5*r - 27*r + u = 0. Solve 0 = -r*d - 7 + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 546983.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 6*o**2 + 10*o - 1. What is q(-8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-5.351.\nAnswer: 10.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 2174 = -877. Let h = -336 - f. Let n be 8\/1*1 + 1. Solve h*b - 18 = 3*x, 5*x - n + 4 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -126\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljww when four letters picked without replacement from jlllwljlwwlxj.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*s = -240*s + 176. Suppose -2*i + 7 + 13 = 0. Calculate the remainder when i is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3612 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 59*b**2\/2 - b + 5. Calculate the remainder when d(1) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-10)*2*6\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z)\/((z\/z**(-2\/17))\/z)*(z**(-1\/6)\/z)\/(z*z**(-2\/5))*(z**(-1))**(-2\/65)\/((z*z\/z**2*z*z)\/(z*z*z\/(z**8*z)*z)) assuming z is positive.\nAnswer: z**(-54721\/6630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-15) - (-8)\/5. List the prime factors of (2\/(-6))\/(m\/(-78)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*d + 10 + 4, -w + 16 = 4*d. Suppose -2*s + w*z = -22, 4*z - 11 = s - 28. Solve a = -s*a - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 - s**2 + s - 1. Suppose 7 = -5*g + h - 4*h, 4*g + h = 0. Calculate i(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-210 - -207) + -10 + 1 + (-55 - 0).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459*c - 490*c - 62 = 0. Put c, 1, -62, -1 in increasing order.\nAnswer: -62, c, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + 126 + 4. Suppose 0 = 4*a - 7*a + g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j**2 + 3*j + 1. Let g(w) = -17*w**2 - 5*w - 1. Let l(p) = -2*p**2 + 47*p + 905. Let f be l(36). Calculate f*g(o) + 8*q(o).\nAnswer: 3*o**2 - o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -27*u + 112. Let q be z(4). Calculate the greatest common factor of q and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19512*x = -19530*x + 171 + 81 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*27\/945*-12.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 787467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4*(10\/(-7))\/(328\/287)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 5*u**2 - 17*u + 18. Determine x(-6).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 194807362*l - 194807364.\nAnswer: 2*(l - 97403682)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 2429*r**3 + 1065 + 171 + 823 + 15 + 2431*r**3 to g + u*r**2 + i*r**3 + h*r and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 1845 = -81. Let l be 10\/15 - 2\/3. Suppose l*k + 4*k = -c + 17, 5*c = -2*k + 85. Calculate the remainder when d is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -7 + 5 - -74. Calculate the greatest common divisor of 88 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*z - 1. Which is greater: 0.26 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/44822 and 37\/6.\nAnswer: 134466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 + 7. Let o(z) = -15*z**2 - 14. Let b(w) = 13*c(w) + 6*o(w). Does 13 divide b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2\/(-3))\/((-18)\/81).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2758639800 to the power of 1\/3, to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 151404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 20 = -9*s. What is the remainder when 18 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -534100 + 535981.744. Let a = -1908 + f. Let y = a - -26. Round y to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11625 = -4*b - 0*b + 3*z, -3*z = -2*b + 5817. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1000*w - 1028*w + 84 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -100.768\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695186?\nAnswer: 2, 193, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(22\/((-726)\/(-33))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95328 (base 12) to base 5.\nAnswer: -22230403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*n = -3*b + 105, -2*n + 58 = 3*b. Calculate the highest common divisor of 320 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 12:06 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*t**2 + 115*t**2 + 142*t**2 - 484*t**2 + 123*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121011 - 1211011?\nAnswer: -2102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 1:27 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*x = -24, 51*j - 48*j = 3*x - 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 6 = 11*j. Let t be -4 - (6\/j)\/((-162)\/(-828)). Sort -0.11, t, 0.2 in descending order.\nAnswer: 0.2, -0.11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3 - -11 - (-52)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -359 + 363. Let s be (-112)\/(-294)*p*1. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 g, and 2 e when four letters picked without replacement from xtxggtxtettetexgegtt?\nAnswer: 64\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1751.2063 to the nearest integer.\nAnswer: -1751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-21)*1*(-105)\/(-140)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15604410, -31208868, -46813328, -62417790, -78022254, -93626720, -109231188?\nAnswer: -124835658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 12*o**2 - o + 8. What is t(9)?\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-8) + (-90)\/(-48) + 16. Let g be (-1)\/u*2*10\/(-10). Which is the smallest value? (a) 2\/5 (b) 6\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + i - 1. Let q(l) = -12*l**2 - 11*l + 11. Let x(g) = 22*k(g) + 2*q(g). Let p(n) = -n**2. Calculate x(p(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -4*j - 40. Let v = j + 33. Let b(u) = -3*u + 11 - 2*u**2 - v + 1. Let a(k) = 2*k**2 + 2*k - 5. Calculate -4*a(f) - 3*b(f).\nAnswer: -2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14507.5 less than or equal to -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 0*b**2 + 0*b**2)*(-18*b**2 + 15*b + 0*b**2 - 14*b).\nAnswer: -54*b**4 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 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: List the prime factors of 8208.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 85*q**2 - 487*q - 6. Let j(x) = 2*x**3 + 86*x**2 + 486*x + 4. Let v(p) = -3*j(p) - 2*u(p). Factor v(f).\nAnswer: -4*f*(f + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477430950 to the power of 1\/2, to the nearest integer?\nAnswer: 21850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0 (b) -1.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 8 - y + 3*y**3 - 1\/2*y**2. Determine w(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.39 + -3.21. Let c = v + 28.5999873. What is c rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 130 - 300 - 70 = 0. Suppose -8*w = -3*w. Let p = 57 + w. What is the remainder when p is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222748 and 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.96 - 0.04. Let h = q + 3.6. Let k = 7 + -12. What is the biggest value in h, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21011101 (base 3) to base 6\nAnswer: -40101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18953, 7, 95, 0, 2 in decreasing order.\nAnswer: 18953, 95, 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88, 94, 102, 112, 124, 138, 154?\n\"Answer: u**2 + 3*u + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2. Suppose 3*h - 4*q + 20 = 0, 4*h + 20 = -102*q + 106*q. Let c(x) be the first derivative of -1\/3*x**3 + h*x + 0*x**2 + 9. What is f(c(t))?\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.24 - 0.14. Which is the closest to 4? (a) 0.3 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 7*x - 4*x)*(3*x**2 + 2*x**2 - 2*x**2)*(-174 - 137 + 88).\nAnswer: -669*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16952, -36777, -62360, -96581, -142320, -202457, -279872, -377445?\nAnswer: -498056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1763.\nAnswer: -352.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l + b = 58*l - 14, 2*l + 4*b - 10 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 123011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + -2 + -2)\/((-72)\/(-27)) and 65\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 - 5*c**2 + 111*c - 361*c + 121*c + 129*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*q - 806 = 2369, -3 = -q. Let j = 642 - a. Solve 3*b = -4*d - 14, -2*b - j - 2 = 2*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000156 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/21 + 114268*i**3\/3 - 10398818*i**2\/21 - 5256508*i\/3 - 8532288\/7 = 0.\nAnswer: -399951, -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(75) - sqrt(3)) + -1 + sqrt(363) + (sqrt(363)*-2)**2)*4 + -5.\nAnswer: 64*sqrt(3) + 5799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1.79128.\nAnswer: 1.79128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -28*q + 10. What is p(-5)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**2 + 248880*t + 3097062720 = 0.\nAnswer: -24888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 17 = 4*k. Solve 5*r - k - 8 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215918 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + k - 15 = 0, 5*m - 5*k - 23 = m. Let a = m + -5. What is the tens digit of -2 + 3\/a*18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otv when three letters picked without replacement from pkoviokkotio?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -25. Suppose -c - 2 = s - 6, 0 = 5*c + 2*s - 14. Suppose c*k - r = -q, 0 = k + q + 2*q + 3. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10701, -3 in descending order.\nAnswer: 3, -3, -10701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 700 - 490. Suppose -3*d = 4*d - q. Let w = 50 - d. Solve -3*h = h - w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*l + t - 11, -3*l + 4*t = 13. Solve 3*i - l = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 16, x: 4}. What is prob of picking 2 x?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5002 and 488?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(6\/11)\/f)\/f))**(-2\/139) assuming f is positive.\nAnswer: f**(-54\/1529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -637087*-5.\nAnswer: 3185435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-138)\/(-161) - 3\/(21\/(-14519))?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418364*-176.\nAnswer: 73632064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3935533 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(162\/(-216))\/(18\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*y**2 + 1 + 0 + 0*y**2 - 3*y**2 + 2*y**2 + (-4*y + 4*y + 2*y)*(0*y - 3*y - y) to m*y + f*y**2 + a and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2 + 6. Does j = -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -6*6\/12. Suppose -5*z - 2*a + 7*a + 4885 = j, 5*z = -a + 4879. Suppose -2*l = -7*l + g + 1229, 4*l + g = z. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(108) + (sqrt(108) - (1 + sqrt(108))))*-6 + 3)**2.\nAnswer: -23814 + 3888*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51499*x**4 - 4107*x**2?\nAnswer: -1235976*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -0.0022 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -101. Solve g*x + v - 3 = 0, 0 = 3*x - 4*v + 3 + 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 59, 4\/2735?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*o + 300677 - 292493 = 29*o for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1*(x**(-27)\/x*x)\/x*(x*x**(-20))\/x*x**(-19) assuming x is positive.\nAnswer: x**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.44 and 517687.\nAnswer: 517687.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and (-15)\/(-5) + (-2)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7630*30\nAnswer: -228900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -591672*t**3 + 591673*t**3 - t + 11*t**2 + 3 + 3. Give x(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 + 79 = 5*p. Suppose 0 = 12*c - 15*c - p. Let r = -21 - c. Solve -2*n - 1 - 1 = r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**4\/q*q))**2)**(1\/2) assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y - 288 = -7*y. Let m(n) = 9*n - 3. Let p be 6\/33 - (-70)\/(-22). Let u(g) = -10*g + 4. What is p*u(c) + y*m(c)?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 43. Let h(z) = -z + 6. What is h(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416*4.\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -1\/9 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21436816, 42873635, 64310454?\nAnswer: 85747273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3096 divided by -6.\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19173 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(171)\/(3*-2*sqrt(9)).\nAnswer: -sqrt(19)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 10:03 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -56*b + 60*b. Suppose r - 6 - b = 0. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88226\/302451 - 223\/557. What is the common denominator of g and -89\/12?\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31929, -34176, -36423, -38670?\n\"Answer: -2247*y - 29682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6833 is divided by 3120?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + h**2 + 2*h - 4. Let o(s) = 4*s**3 - 3*s**2 - 7*s + 13. Give 2*o(x) + 7*v(x).\nAnswer: x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1159*(16 - 58)\/14.\nAnswer: 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + t = -4*t - 9, -2*t + 2 = p. Suppose p*w + 21 = 197. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 9946728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 450 and 22515?\nAnswer: 675450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 160901585, 160901589, 160901595, 160901603, 160901613, 160901625?\n\"Answer: w**2 + w + 160901583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9601 - -1728187\/180. Let k = 273877709\/360 - 760770. Let m = k - v. Calculate the common denominator of -81\/8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -10374, 8, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) - sqrt(48))**2 + 4.\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1050028*r - 1046612*r + 2096614*r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t + 12. Let b be (-2 + -1)\/((-6)\/8). Suppose x - 2 = i - 6, 12 = b*i - 3*x. Is 4 a factor of o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11553620 take away -18345?\nAnswer: 11571965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -91375029 and -0.1.\nAnswer: 9137502.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -9. Let s be w\/(-9*1\/(-6)). Suppose 2*g = -t + 40, -g + 2*t = -s*g + 61. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800322.9 weeks to microseconds.\nAnswer: 484035289920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 515806538 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2934 is divided by 720?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78559565.\nAnswer: 5, 7, 2244559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + -56 - -116 - 47.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 42\/5 of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.14, -8 in ascending order.\nAnswer: -8, -3, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270*z = 1279*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + n**3 - 38*n + 7*n**3 + 38*n.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:02 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(-2*sqrt(243)))\/(sqrt(30)\/(sqrt(40)\/(sqrt(4) + sqrt(64))))*-5 + 2.\nAnswer: sqrt(3)\/18 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.83 * -22\nAnswer: 18.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 11. Suppose z - 117*x + 120*x - 33 = 0, 5*x = -10. What is the remainder when z is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3105\/30)\/69*12\/9)\/((-2)\/37)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 7. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 5598, -5, 4, 3, -6.\nAnswer: -6, -5, -1, 2, 3, 4, 5598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 7, x: 3, q: 2}. Give prob of sequence cc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = -3*b + 11, 5*b + 4*c - 10 = 0. Suppose 2*r = -5*q + 6*r + 281, -b*q - 5*r + 86 = 0. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**5\/30 + 7*z**4\/12 + 25*z**3\/6 - 3*z**2 + 701*z. Determine k(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2 - 38*a**3 + 4*a**6 + 38*a**3 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -20*a + 14667 + 19718. Is 33 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10602 (b) 36.34 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22585 at least 19\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.292 and -3?\nAnswer: -0.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156969 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 3*b**4\/4 + 6*b + 5. Let c(g) = -2*g + 89. What is z(c(y))?\nAnswer: 36*y**2 - 3204*y + 71289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 2*o + 2. Let i be l(1). Let x = 0 + i. Let b be (6 - -2)\/((-2)\/x). Do b and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-540)\/(-84))\/(-3))\/((-16)\/952*-17)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92.49 + 93. Let p = 0.11 - m. Let t(n) = n**2 + n - 1. Let i be t(1). Which is the third biggest value? (a) i (b) p (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -0.44, -42\/17, -3\/5 in descending order.\nAnswer: 87, -0.44, -3\/5, -42\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 3*q + 14. Let d be t(3). Let z(n) = n**2 - 11*n - 34. Let i be z(d). Solve i = -0*w + w - r, -22 = -2*w + 4*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 215, 209, 319, 611, 1151, 2005?\nAnswer: 3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**3\/6 - v**2. Let t(y) = -y. Let w(r) = -3*r - 1. Let z(g) = -5*t(g) + 2*w(g). Determine -3*p(o) + z(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w + 2*a + 648 = 0, -2*w + 3*a + 427 = 0. Find the common denominator of ((-1)\/3)\/(12\/w - 0) and 149\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlq when three letters picked without replacement from rqqxxqxrxrqrlrqlrql.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6355 is divided by 236.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j - 3*m = -11388, 3*j + m - 11396 = 0. Round j to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (6 - ((2 - 6) + 14))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-4*4 - sqrt(130))\/sqrt(10))**2.\nAnswer: 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(0 + b + 0)*(-1 + 1 + 3 - 290 - 359 + 2692 + 2 + 0 - 1 + (-4 + 0 + 6)*(1 + 1 - 3) - 1 + 4 - 1 + 2 + 4 - 4 + 0 - 1 + 0 - 3 + 4 - 2).\nAnswer: -4094*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1242 + -1237. Let p = -18 + 13. Suppose -2*o = 3*n + 2, 0*o - 6 = 3*o + 3*n. Which is the nearest to 2\/3? (a) p (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1225 or -1231?\nAnswer: -1225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3432 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 16. Suppose 0 = -o - 3 + n. Suppose -t + o*t - 64 = 0. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 + -132131?\nAnswer: -132002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w + 6. Let y(g) = -17*g - 11. Let b be (1 + 0)\/(10\/(-60)). Determine b*y(o) - 11*k(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 156431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 11*c**2 - 15*c - 8. Calculate d(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5445354 (base 6) in base 10?\nAnswer: 270790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24231086 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -360*j**3 - 155*j**2?\nAnswer: -2160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 1 - s - s**2 + 3*s. Let d be v(5). What is the first derivative of t + 0 + 2*t + d wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39643 is divided by 5581?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16256340599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j**2. Let k(m) = 16*m - 53. Let l(f) = -50*f + 161. Let i(h) = -7*k(h) - 2*l(h). Give i(b(w)).\nAnswer: 132*w**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 388768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 75 + 46*z - 26*z - 21*z as s*z**3 + g*z + t*z**2 + b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**2*x**4 - 12*o**2 - 158*o*x**4 + 8*o with respect to x.\nAnswer: 20*o**2*x**3 - 632*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 t when four letters picked without replacement from {e: 4, t: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4 - 6 + 2*j**3 + j**3 + 0*j**3 + 0*j**3 + (3*j - 7*j + 3*j)*(79 - 94*j**2 - 79) to the form z + s*j + y*j**2 + u*j**3 and give u.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/(-7) + 1 - 15873\/19173 and -28\/5.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 9 = -5*d + 4, -4*d + 6 = -z. Let i = -3.9 + -0.1. Which is the nearest to d? (a) 4 (b) i (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1203 - 222304?\nAnswer: -221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**6\/60 - m**5\/15 + m**4\/6 - m**3\/2 - 2*m**2. Let v be s(2). Solve v*n = -2*j - 0*j + 11, 3*j - 12 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/4 - 806703*o**3\/2 + 216921629991*o**2\/4 + 108462025053*o + 54231214203.\nAnswer: 3*(o - 268902)**2*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1043 by -58.\nAnswer: 1043\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-14)\/4 + 2). Let p = 18 + -7. Let r = p + -10.5. Which is the closest to f? (a) -0.5 (b) -2\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 56, 84, 44, 1?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + 0 + (sqrt(684) + 0 + sqrt(684) + -3)*2) + -5 + 0)**2.\nAnswer: -4800*sqrt(19) + 175729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 212\/(-12)*-3 - (0 + 2). Let s = w + -49. Solve 5*b = s*t + 13, b - 4*t - 17 = -0*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.58 + 0.18. Suppose i + 254 = -4*i - 3*z, -z = 2*i + 102. Let l be 2\/5 + i\/(-195). What is the third smallest value in l, u, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369 times -0.4\nAnswer: -147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 < -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -38, -103, -224, -419, -706?\n\"Answer: -3*w**3 - w**2 - 3*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -508\/5. Sort 0.3, 1, f in descending order.\nAnswer: 1, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 9449 = 5547. Calculate the smallest common multiple of 4 and r.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1781 + 1777 + 3753*f - 3558 - 3777*f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 46*t - 21. Let c be h(9). Let k(j) = 45*j - 32. Let a be k(23). Suppose 4*y - a - c = 0. What is y rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Let o(q) = 2*q**2 - 13*q - 62. Let c be o(10). Is a greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/22)\/h)**(-49) assuming h is positive.\nAnswer: h**(1225\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n + 5 + 4*n + 10*n + 3*n - 2*n - 2*n + (-3 + 3 + 3)*(-4 + 4 + 2*n) to z*n + m and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2))\/g)**(16\/7)\/(g**(-9\/5)*g*g**(-1\/4)))**(-1\/25) assuming g is positive.\nAnswer: g**(493\/3500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*r = 369*r + 160. Solve r = 3*j + 89 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l + 15*l + 20 - 20 in the form c + o*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and 521.\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011727 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 50 = 5*r. Let f = -39 - -42. Suppose f*j - 10 = -16, -5*k + 4*j = -28. What is the greatest common factor of r and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 5, -3, 11656 in descending order.\nAnswer: 11656, 5, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -76 and -1752.\nAnswer: -1828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 76055 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*c**5 + 1 + (-37*c**4 - 66*c**4 + 27*c**4)*(3 - 3 + 3*c).\nAnswer: -226*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f - 2. Let t be n(1). Find the third derivative of -9*m**3 + 12*m**t + 32*m**2 - 2*m - 22*m**5 - 2*m**4 - 3*m**3 wrt m.\nAnswer: -1320*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2064685\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 356. Let x = -2047 - -1970. Let i = j + x. Calculate the remainder when i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + -137. Suppose -2*y = i - 4 + 9, -4*y = -i + 19. Solve -u + p = i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2346 - 514 = -13*q. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16528247, 16528266, 16528285, 16528304, 16528323, 16528342?\nAnswer: 16528361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -246 - -411. Calculate the greatest common divisor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-13)\/(p**12\/p)*p**11\/p*p**6 assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(140\/(-174))*(-20)\/56 + 6?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/19 - -20\/171. Sort 2, -1, w in descending order.\nAnswer: 2, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-4)\/(-14)) + 3. Let w be r - -2 - 5*3. Let o = w + 26. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 16.12. Let i = l - 0.88. Which is the closest to -1? (a) i (b) 1\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 3}. Give prob of sequence xs.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 23 = 15. What is the third derivative of 19*o**2 + 30*o**q - 3*o**5 + 8*o**5 + 34*o**2 wrt o?\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43179 is divided by 14316?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12 + 13*z + 8*z**2 - 8*z + z**3 - 9*z - 5*z. Calculate the remainder when (-2)\/1 + (20 - -3) is divided by s(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-310 + 13)*40\/(-24). What is the greatest common factor of 66 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133029 is divided by 204?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -243285.\nAnswer: -243285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 3, w: 6, h: 1}. Give prob of picking 1 w and 1 m.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 293, 725, 1301, 2003, 2813?\n\"Answer: -3*k**3 + 99*k**2 - 6*k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q**3 + 21*q**3 - 31*q**3 - 22*q**3.\nAnswer: -51*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyj when three letters picked without replacement from {y: 6, a: 3, z: 2, j: 2, d: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60.2 - 60. What is the fourth smallest value in 5\/4, -3, -1, z?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 1 - (14 - 17)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(sqrt(12) + 2*(sqrt(12) - (sqrt(12) + sqrt(48)\/sqrt(4))**2)) + 5.\nAnswer: -12*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1239*q + 139355 - 25367 for q.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 105 * -0.1\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -96, -73, -50?\n\"Answer: 23*o - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(25)\/sqrt(5)))\/sqrt(10).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9095, 18180, 27267, 36356, 45447?\n\"Answer: z**2 + 9082*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 197227 and 147625.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74455 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.359 to one dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/8)*o*(o\/(o**(-2\/47)*o))\/o*(o\/o**(-2\/9)*o)**(2\/25))**(3\/25) assuming o is positive.\nAnswer: o**(5843\/141000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/5 - 14*c**4\/5 - 36*c**3\/5 - 44*c**2\/5 - 26*c\/5 - 6\/5 = 0. What is c?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10) - (62\/(-10) - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 175\/500*5*6\/(-63)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.64 - 0.14. Let v be ((-52)\/(-65))\/(0 - (0 + -1)). What is the closest to -0.1 in v, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121636, 243070, 364314, 485368, 606232, 726906?\nAnswer: 847390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2 - 2*u - 1. Let r(o) = 16*o**2 - 24*o + 1. Give 3*b(w) - r(w).\nAnswer: 5*w**2 + 18*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 64 = u. Let z = -26 + u. Let r(x) = 11*x - 18. Is 12 a factor of r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*u - 19 = 0, -7 = n - 3*u + 6. Let b be n\/10 + ((-245)\/(-25) - 4). Solve 0 = -0*h + 2*h - b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + y + 5 - 3 + (y + 3*y + 0*y)*(26 + 1 - 8) to the form z + o*y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(2 - 2 + 2*h**2 + 3*h**2 - 2*h**2 - 2*h**2 + h**2 - 6*h**2 - 8*h**2 + (0*h**2 + h**2 + h**2)*(3 + 1 - 5) - 3*h**2 + 7*h**2 - 3*h**2).\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dadaaaapdaaaaapaa. What is prob of sequence pda?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvdbvdvd. What is prob of sequence vv?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2\/5 - 1340\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from ofofofoffffo?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6 + 4. Let c = 116 - 113. Let f be (-3)\/(((-45)\/20)\/c). Put -12, u, f in ascending order.\nAnswer: -12, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:22 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -9.4. Let h(l) = -2*l**2 - 19*l - 26. Let u be h(-2). Which is the fourth biggest value? (a) t (b) u (c) 1\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478 divided by 239.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*q**4 - 703940*q**3 - 15484832108*q**2 + 23231999892*q + 69686496324 = 0. Calculate q.\nAnswer: -43997, -3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*t + 1)*(1 - 1 + 2*t) + (2 - 2 + 4*t)*(-4*t + t + t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/13 - 18\/117?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27c + -3148b?\nAnswer: -3120c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/209805 and -49\/255903?\nAnswer: 90845565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/21)\/(84\/(-294))*11\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*f**3*k + 167*f**3 + 2*f**2*k - 2*f**2 + 402*f*k wrt f?\nAnswer: 78*k + 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157908 and 7080?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.89 times -624.6?\nAnswer: 1805.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q + 2*d - 5*d, 4*q - 8 = 4*d. Let c be (34\/(-39))\/(2\/q). Let o = c - 1517\/156. What is the common denominator of o and 29\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 961.51*2\nAnswer: 1923.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3 + 7. Let g be (4 - -25*o) + 0. Calculate the highest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7 + 3393*j + 6 - 2 + 5 to the form g + k*j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**6\/10 - f**3 + 5*f. Find the second derivative of l(b) wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3985259824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 + 22 = -4*m, -2*i + 6 = 0. Let x(s) = -s**2 - 2*s + 3. Let t be x(m). Let u = t - -13. Calculate the remainder when 25 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 8 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2984.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3389*f - 24555 = 1522*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10181307*l**2*s**2 + 68713193*l**2 + 2*l*s wrt s.\nAnswer: -20362614*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152098*n**2 - 117377 wrt n.\nAnswer: -304196*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - -5.05. Let q be 20\/120 + 1\/3. Suppose 2 = 5*y + 2*t, 0 = -2*y + 3*y + t + 2. Which is the closest to -1? (a) n (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4 + (-5)\/(-10). Suppose 2*a + a - 3 = y*n, 2*n = 6. Suppose a*p - 5*p + 162000 = 0. Round p to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 44*l - 33*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-1)*8)\/(24\/12). Let m be -1 + -10*(2 - 10\/v). Suppose -3*o - 81 = -m*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1250\/875)\/(8\/(-2352)*-12).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 255155 = -348739. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4. Let m be h(0). Let s(k) = 7*k - 7. Let r(y) = y - 17. Let q(z) = -z + 11. Let i(v) = -8*q(v) - 5*r(v). Determine m*s(a) - 9*i(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 3\/7 (b) 1\/5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 less than -0.03984?\nAnswer: -60.03984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -54*y + 46*y. Which is smaller: -7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101204 times 1338\nAnswer: -135410952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 64+10.2\nAnswer: 74.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 35*p + 147. Give y(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/8 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 317, 627, 941, 1253, 1557, 1847?\n\"Answer: -d**3 + 8*d**2 + 293*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12074196 by 8.\nAnswer: -3018549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*j**2\/3 - 2085112*j\/3 + 1390144.\nAnswer: -4*(j - 2)*(13*j + 521304)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2847682687 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3537\/10 + 354. Which is the nearest to -1\/4? (a) 2 (b) t (c) 4 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**2 - 400*v - 1022. Calculate h(-64).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1. Let a(z) = 2*z - 8. Let l(v) = a(v) + 10*o(v). Calculate l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -26*j**2 - 26*j - 3. Let u(h) = -26*h**2 - 27*h - 2. Let q(x) = 2*o(x) - 3*u(x). What is the second derivative of q(l) wrt l?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7556 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 2436 (b) -0.3 (c) -2587\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -8, 2\/5, -9, -270, -1\/3, 1\/2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3691383541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -823*o**3 + 2075*o**3 + 2*o**2 + 3*o + 1 - 990*o**3 - 913*o**3 to the form h*o**3 + p*o + y*o**2 + u and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b + 27*b + 10*b to x + y*b and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638026281 a multiple of 9088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (-1 + -13)) + -19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*t - 17, 0 = 4*t - 0*t - 4. Let g be (-4 + 5)*(-2)\/(-4). Let o = -11344 + 11344.6. What is the smallest value in g, o, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 11:27 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) 0 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 63, 3, -33, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 307 - 208. Let q = w - 76.2. Round q to 0 dps.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -1811.\nAnswer: 13\/1811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.31 - -0.01. Let w = -25 - -15. Let o = 8 + w. Which is the nearest to n? (a) -3 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -27*g**2 - 9*g - 6. Let h(d) = -2*d**2 + d. Determine 9*h(p) + s(p).\nAnswer: -45*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 11*f\/3 + 8.\nAnswer: (f + 3)*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let p = -320 + 323. Let c(g) be the second derivative of -2*g + 0 + 0*g**2 + 1\/2*g**p. Determine x(c(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99134700 divided by -141621.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*12494.51\nAnswer: 6247.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656705?\nAnswer: 5, 7, 29, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiid when four letters picked without replacement from diiiiiii?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) -2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b**2 + 10*b - 10. Let g(x) = -5*x**2 - 6*x + 6. Let a(p) = -5*g(p) - 3*v(p). Let z(y) = 74*y - 1. Give a(z(w)).\nAnswer: -10952*w**2 + 296*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1184*u + 3534. Calculate r(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -0*l - 2*l - 4*h, -l - 89 = 5*h. Let o = 90 + -126. Let s = o - l. Calculate the highest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from uuhuhhhuhuuhu.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6 + 3*o - o + 7*o + 3*o + 2*o + o + o - 4*o + (4 - 2 + 0)*(-5*o + 2*o + 2*o) + 2*o + 0*o - o + 2*o - 6*o + 3*o + 1 - 1 - 2*o as i + b*o and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -36 - -17) + -28 - (-1 + -8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.615340977 rounded to 4 decimal places?\nAnswer: 0.6153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 1 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26445625?\nAnswer: 5, 17, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/21)*p)\/p)**(3\/49)*p**(-4)*(p\/(p*p**(-12)*p))\/p assuming p is positive.\nAnswer: p**(2081\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*p - 331 + 696 + 1714 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4516 and 9716.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -10212?\nAnswer: 10217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16084952831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b0 + a6a?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 9:29 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 h when four letters picked without replacement from {q: 6, h: 13}?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 882 and 63.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*b**2 + 31*b - 38*b - 3 in the form p*b**2 + i*b + g and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Suppose 0*n + l = n. Suppose n*r - 5*z = 55 + 33, 0 = 5*r + z - 128. 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: Is 16126439 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 102988 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 85. Let z be b(-22). Let s(n) = z*n**2 - 49*n**2 - 47*n**2. Let h(a) be the first derivative of -a**3 - 2. Determine h(s(w)).\nAnswer: -363*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 97. Suppose -v*a = -8*a - 166. Let y = -76 + a. What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4936276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -23 - 38480\/(-2750))*5.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -617.29 times 45?\nAnswer: -27778.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2546 + 2546 + 49*q + (-2 - 1 + 5)*(-2 - 2 + 6)*(2*q + 2*q - 2*q).\nAnswer: 57*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/(-15))\/(-3 + 14\/5). Let p(l) = -l - 7. Let x be p(v). Put 3, 0.2, x in descending order.\nAnswer: 3, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(68)\/sqrt(4) + 1)**2 + sqrt(17) + (sqrt(17) - (-2 + sqrt(1088))**2) + 4.\nAnswer: -1070 + 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 181282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 47.9, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**2 - 101*w - 42. Give g(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2417.74 * -0.1.\nAnswer: -241.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 187707434 to the power of 1\/2, to the nearest integer?\nAnswer: 13701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -6*u + 5*u - 60, -l + 12 = u. Let t be ((-1)\/2)\/((-1)\/168). What is the highest common factor of l and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162675 and 2700?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162 - 76. List the prime factors of q.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/63?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/50 and 59\/340.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(18\/4)*(-69)\/(-23). Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, s: 3}. What is prob of picking 1 w and 1 s?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2987520 rounded to the nearest 10000?\nAnswer: 2990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 7634*j + 7632*j = -38, 5*k + 5*j - 95 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6090813997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 79898?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11479 + -11479.2. Which is the fifth smallest value? (a) -3 (b) 0.7 (c) 2\/9 (d) 3 (e) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 + 0.05. What is the biggest value in y, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39162737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209*t - 340 + 340 - 265*t to v*t + p and give v.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from gtgggggggggtygyggy?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*k**2 + 90 - 32*k.\nAnswer: 2*(k - 45)*(k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5056 - 3194. Suppose 0 = 4*t - 3*l - 1489, 7*t - 2*t - 3*l = u. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, 1, 0.2, 0, -0.5 in decreasing order.\nAnswer: 1, 0.23, 0.2, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/76? (a) -2 (b) -22 (c) 1\/4 (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.018757g to nanograms.\nAnswer: 5018757000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/4))**50\/(k**(-2\/7)\/k**(-1)) assuming k is positive.\nAnswer: k**(515\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7373 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -7*h**5\/30 - 18*h**2. Let o(r) = 2*r. Calculate o(n(p)).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6381.548kg?\nAnswer: 6381548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/(31\/((-2480)\/(-12))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + -3 + 2 + -1. Let n(p) = f + 0*p**2 + p - 13*p - p**2. Is n(-7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 5:01 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -497270*m*p + 86256*m + 3 wrt p?\nAnswer: -497270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {g: 2, x: 6, s: 6, i: 2, m: 1, h: 3}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82106 + 554992 = 21*o. List the prime factors of o.\nAnswer: 2, 7, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at most 10975122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90, -202, -328, -474, -646, -850, -1092?\n\"Answer: -q**3 - q**2 - 102*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 0.5 (b) -343 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 9*s**2 + 4*s + 64. What is z(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 6, 5, 2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(70) + (sqrt(70) - (sqrt(70) - (-2*sqrt(70) - sqrt(70))) - sqrt(70))*5 + sqrt(70))\/sqrt(10)*2*-5 + -1.\nAnswer: 4 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:30 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 3*u - 5. Let n be v(-5). Let r(g) be the second derivative of g**4\/12 - g**3 + 21*g**2\/2 + 4*g. Is 8 a factor of r(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j = 0, 3*j = 4*p - 36. Solve -4*h - 4*i + 11 = i, -p = 3*h - 2*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -4*u - 70, -874*u - 5*t + 235 = -887*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(33\/7)*u)\/(u\/(u*u*u**(17\/4)\/u*u)) assuming u is positive.\nAnswer: u**(335\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 2, r: 1, o: 2, x: 1, a: 1}. What is prob of picking 1 o and 1 x?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 202 - 120. Suppose 922 = 5*a + p. What is the greatest common factor of a and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 8*v = -220. Suppose x - 6*x = -v. What is the second derivative of -16*j**4 + x*j**4 - 5*j - 2*j wrt j?\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (128\/(-20))\/((-4)\/10). Suppose -2*v - 5*y + h = -17, -v + 5*y - 21 = 0. Solve -3*b - v*k = -18, 4*b - 17 = -3*k - 0*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0517 - -7.0517. Sort 2, y, 5 in ascending order.\nAnswer: 2, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40850*l**2 + 63 - 63.\nAnswer: -40850*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111.00546 - -111. Round q to 4 decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36 - 1.54. Let a = f - -0.8. Let p = 1 + -0.6. Sort p, a, 5 in increasing order.\nAnswer: a, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10 - k + 5 - 10. What is y(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 21*t**2 + 42*t**2 - 2*t - 77*t - 22*t**2 to d*t + b*t**2 + w and give d.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -228a3 (base 11) in base 6?\nAnswer: -412521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 262*a**2 + 7*a + 7. Suppose 20*z + 48 = 26*z. Let w(k) = 88*k**2 + 2*k + 2. Let f(x) = z*w(x) - 3*c(x). Find the second derivative of f(m) wrt m.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiy when three letters picked without replacement from iiiiyyy?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25459867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -502, -1999, -4492, -7981, -12466, -17947?\n\"Answer: -498*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75825 and 7661475?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {h: 5, g: 13}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(-1\/6)*n)\/n)\/(n\/n**(4\/7)*n))**(-18)\/(((n\/n**0)\/n)**(-2\/145))**(9\/2) assuming n is positive.\nAnswer: n**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 2, -1 in decreasing order.\nAnswer: 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**7\/2520 + 7*o**6\/720 + o**5\/24 - o**4\/12 + 2*o**2. Let u(g) be the second derivative of d(g). Determine u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 16*z + 72. Calculate y(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -368840 in 3, 391, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - u**2 - u + 6. Let b(r) = 2*r**3 - 2*r**2 - 3*r + 13. Let m(x) = -2*b(x) + 5*i(x). Let t = -4 - -4. Give m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -46. Let z(d) = d**3 + 4*d**2 - d + 7. Let h be z(j). Calculate the greatest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -10. Let s(c) = c**2 + 6 + c**2 - 5*c**2 - 6*c + c**3 + c**2. What is s(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48229065 divided by 5\nAnswer: -9645813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*w**2 - 280*w**3 - 4*w**2 + 0*w**2 - 403*w**3 in the form b*w**2 + c + s*w**3 + r*w and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c = -33*c + 385. Calculate the smallest common multiple of c and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b - 5*b + 86 - 34 = 0. Solve 3\/4 + 1\/2*k**3 - 1\/2*k - k**b + 1\/4*k**4 = 0 for k.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvb when three letters picked without replacement from {v: 3, j: 2, b: 4, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 388 - 388. Suppose 0 = -3*l - v + 13, -3*v - 1 = 5. Suppose 4*h - 3*h - 30 = l*s, s = 5*h - 30. Solve d*g = h*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0)*2\/4. Suppose 13*d - 45 = 111. What is the remainder when (p + -1)*(-23)\/1 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*t - 48, -3*b + 3*t = 4*t - 20. Let i(m) = 70*m + 127. What is the hundreds digit of i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4970 (base 15) to base 4\nAnswer: 3310032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*n + 4*p - 21, 3*n - 5*p + 35 = 0. Suppose 7*r - 5*r = 4. Put n, -18, r, -3 in decreasing order.\nAnswer: r, -3, n, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c**2 + 13*c**2 - 25*c**2)*(-4*c - 2*c + 4*c) + c**3 + 3*c**2 - 3*c**2 + (0 + 0 + 2*c)*(0*c**2 - 4*c**2 + 2*c**2).\nAnswer: 55*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 37530.83 kilometers?\nAnswer: 37530830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = 25*p + 80. What is the least common multiple of p and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2028 + 2013. Put -8, 5, a in ascending order.\nAnswer: a, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(136) + sqrt(136))*-1*3)\/(sqrt(72) - (sqrt(72) - ((sqrt(72) - (sqrt(72) + (3*sqrt(72) - sqrt(72)) - sqrt(72) - sqrt(72)))*-5 + sqrt(72)))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -825*g - 1646. Let j be y(-2). Let t be 1 + -3*1 + 10. Suppose 2*c - t = 2. What is the greatest common divisor of c and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 256 - -794. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 15 + 5)*(-2*t**4 + 7*t**4 - 2*t**4).\nAnswer: 78*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((0 + sqrt(1539))*5*1 + sqrt(1539) + 4 + -3*sqrt(1539) + 4))**2.\nAnswer: 15552*sqrt(19) + 500940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/3 and -86\/2277.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 33*i**4\/4 + i**2 - 61*i + 112. What is the derivative of x(y) wrt y?\nAnswer: 99*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 0 (b) -0.4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 12 = -2*l, 0*j + 3*j = -4*l - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*-6)\/((-3)\/(-2)). Suppose -3*c + 65 = 2*d + 3*d, 4*d - 3*c - 52 = 0. Suppose -d = -6*l - 1. Put l, g, -3 in descending order.\nAnswer: l, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -52. Let q be -2*(10\/5)\/(1\/(-2)). Let u be (-500)\/q*-2 + 3. Calculate the highest common divisor of x and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 17. Let x(f) = -2*f - 10. Let i be x(q). Solve -5 = i*g + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/22351 and -85\/5768.\nAnswer: 178808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 1000?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*a**3 - 415*a**3 + 211*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -575, -1585, -3023, -4865, -7087, -9665, -12575?\nAnswer: -15793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = -2*g, -2*g = -4*o - 0*o - 18. Suppose -i + 2*i = -g. List the prime factors of (-1)\/i + -2 + 7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:38 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 631\/7 + -47319\/532. Calculate the common denominator of c and (-5029)\/235*(1 + 2\/(-12)).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 12 = 4*i, 6*c + 7 = -4*i + 5*c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42949 + -17?\nAnswer: -42963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((125\/750)\/((-4)\/8))\/((-1)\/(-285)*5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = 5*y - 17, -2*q + 9 = 5*y. Let u be 5\/2*q\/(-10). Suppose 0 = -4*h + 5*m + 35, -u*h - 5*m = 7 - 2. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*m = 56, -5*w - 68 = -3*m + 4*m. Let v(z) = z**2 + 9*z + 18. Calculate the lowest common multiple of v(w) and ((-9)\/(-1))\/(12\/8).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9*n**2 + n + 1. What is the remainder when 139 is divided by f(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33 + 95d?\nAnswer: 92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.8 and -1393416002.25?\nAnswer: 1393415996.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 + 3*m + 2. Let d(a) = 11*a**2 - 10*a - 7. Calculate -7*c(p) - 2*d(p).\nAnswer: 6*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 9) to base 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) 1\/8 (c) 0 (d) -2 (e) -0.3 (f) -0.45 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 80 + 160. Suppose 0 = -a + 6*a - 100. Calculate the smallest common multiple of q and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -0*w - 5*w. Let c(r) = -6 - 7 - 14*r + 3. Is c(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*h**2 + 7*h**2 - h + 10*h**2 - h**3 + 13*h**2 + 8*h**2 to the form j + x*h**3 + a*h + k*h**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221807897 = -54*w - 221805467 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60294 or -60289?\nAnswer: -60294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/60 + 4*n**3\/3 + 9*n**2. Differentiate x(d) with respect to d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 803646.6889 and 0.05.\nAnswer: 803646.7389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27393052649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(-21))\/((-3)\/27). Suppose 3*t - z*n = 240, -t - 3*n - 17 = -93. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 2 - 913*v + 505420*v**5 - 492046*v**5 wrt v.\nAnswer: 267480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 48650 - 12*b - 24324 - 24321. Let w(m) = 2*m. Give w(c(i)).\nAnswer: -24*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 63239.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-15))\/(-4)*12\/42?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*c + 8573 = -27*c - 1667 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n + 30 = 0. Let f = -4 - n. Suppose 5*a - f*a = 6, 8 = 5*q - a. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4f (base 16) in base 2?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 85511400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**3 - g**2 - 2*g - 1. Suppose -3*c - 5*i - 8 = 0, 2*i = 4*c - i + 1. Calculate u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -16*a**3 + 2*a**2 + 4*a - 3. Let z be t(-4). Suppose -377 = 11*j - z. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c8 + 5?\nAnswer: -4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (6 + -30 - -16 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5068983 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -41*v - 1225. Give y(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(432))\/sqrt(6) - (sqrt(8) - 4*sqrt(800)))\/((-4*sqrt(8)\/sqrt(2) + (sqrt(4) - (sqrt(4) - 4*sqrt(100))))*3).\nAnswer: 43*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1880808*p**3 + 55*p**2 - 8*p + 155 wrt p?\nAnswer: 11284848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)\/l*l**10*l**1\/(l*l**5\/l))**0)**(-2\/27) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227*l**2 + 198*l**2 - 226*l**2)*(-8*l**2 + 6*l**2 + l - 2*l**2).\nAnswer: -796*l**4 + 199*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 0.3, 3, -0.4, 0.05 in decreasing order.\nAnswer: 86, 3, 0.3, 0.05, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 6, m: 3, d: 1, o: 1}. What is prob of sequence oeee?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151 + 1065\/7. Factor 8\/7*n + 10\/7*n**2 - 6\/7*n**3 - f.\nAnswer: -2*(n - 2)*(n + 1)*(3*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.159807408 rounded to five dps?\nAnswer: -0.15981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 + 3 = 0. Suppose -j*m + 18 = -3*m. Does 8 divide (m\/(-5) + -2)*20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16420*m**2 - 11047*m?\nAnswer: 32840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/4 - (-2 - 0). Let g(d) = -d**3 - d. Let t be g(-1). Solve t = 4*x - v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9436 + 42416. Let l(m) = m**3 + 5*m**2 - 7*m - 1. Let b be l(-6). Suppose -4*s = -u + 33016, -b*s = -u + 2*u - w. Round u to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 2*n**2 + 9*n + 4. Let l(d) = 3*d**3 - 4*d**2 + 17*d + 7. Determine -7*i(v) + 4*l(v).\nAnswer: -2*v**3 - 2*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07628 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(1\/14)\/h)\/h)\/h**9)**(-1\/3))**(-24) assuming h is positive.\nAnswer: h**(-612\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 1\/5, 1\/2, -2\/3, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.2, 0, 81\/4, -0.2.\nAnswer: -0.2, 0, 0.2, 3\/2, 81\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.053 - -24.053. Let z = o - 25.5. Let c = 1.1 + z. What is the biggest value in 4, c, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 7*z + 5. Let u be m(-9). Let r = u + -12. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c*c\/(c*c*c*c**(-2\/5))*c)))\/c*c)**(-40\/3)*(c**(2\/5)\/c)\/((c**(-2)*c)\/c*c) assuming c is positive.\nAnswer: c**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - (-5)\/2. Let l be (122\/4)\/(21\/10962*9). Suppose 5*p - 4445 = -k*z, l = 2*p - 2*z + z. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22255464 at least as big as 22255463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 186\/1140959 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 4*d**2 + 6*d - 4. Let a(j) = j**2 + 5*j - 1. Let n be a(-5). Let y(m) = -m**2 + m - 1. Give n*p(h) + 4*y(h).\nAnswer: -h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n = -2*j + 32*n + 9, 5*j = -2*n + 23. Let v be 0*(-2 - -6 - j). Let o = -9.93 + 10. What is the nearest to v in 0.3, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(2 - 7\/3). Suppose -1 = -h - w*a, 5*h - a = a + 17. Let k be (2\/3)\/(h\/18). Solve g - 16 = 5*v + 4*g, -22 = 2*v - k*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 393992 and 136?\nAnswer: 393992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 + 66. Let d(c) = c**3 + 4*c**2 - 24*c**2 + a*c**3 - 2*c**3 + 2. Let u be d(-20). Solve 0 = 4*i - 3*x - 35, -u*i + 5*i - 4*x = 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**8\/56 + o**4\/3 - 3*o - 3. Let q(i) be the first derivative of d(i). What is the third derivative of q(t) wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-109290)\/((-12)\/(-24000)*6). Round l to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**2 - 10*q + 4. Let v = 13 + -10. List the prime factors of w(v).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {w: 1, o: 4, g: 4, j: 1, l: 2, r: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2aa12 (base 11) to base 2\nAnswer: 1010101100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19960 in -2.3, 3\/13, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00922 and -0.206822.\nAnswer: 0.00190689884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654 is divided by 518?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 5*j + 3*j + 6 = j, -17*j = -21*j + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 9 = -g + 10, n = 2. Suppose 3*y - 3*t + 12 = 0, -g = 2*y + 4*t + t. Let d be (-30)\/(-15) - (-7)\/y. Is d greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -3 + (12 - 0) + (-3 - 7 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**5 + 106*j**4 + j**2 - 18*j.\nAnswer: -240*j**2 + 2544*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-46)\/10 - 4) + 70 + -61. What is n in -2 - h*n**3 + 18\/5*n - 6\/5*n**2 = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2447 - 51447?\nAnswer: -48000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + 12*t**2 + 12*t + 6. Let n be p(-5). Let h = -90\/17 + -1163\/34. What is the common denominator of h and 16\/n - (77\/12 + 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.7 (b) 0 (c) 1\/15 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4342*k - 92850 + 92850 to the form c + x*k and give x.\nAnswer: -4342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h**2\/4 - 5745*h\/4 + 87453 = 0. Calculate h.\nAnswer: 948\/13, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/7 - 2*d**2\/7.\nAnswer: 2*d**2*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 17823, 4, 0.2, -6, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 2*d**2 + 3. Suppose -2*f = 3*z - 16, 0*f - z = 4*f - 22. Suppose -f*b = -2*b + 30. Let c(r) = -2*r**3 + 5*r**2 - 7. Calculate b*a(m) - 4*c(m).\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1020*v + 4255. What is the remainder when s(4) is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/8)\/((-3)\/18). Let x = -10.8 - -11. Which is the nearest to -3\/8? (a) x (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 11*v - 21. Let w be t(9). Let x be (3 - -42)\/(4 + w). What is the highest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -4*w + 24, 4*c + 5*w - 76 = -51 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 8, -36, -118, -250, -444?\n\"Answer: -2*j**3 - j**2 - j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by 13659.\nAnswer: 19\/4553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03284 rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*l**2 + 7*f**3*l*z - f*l**2*z + 7*f*l*z + 2*f*l + 576*l**2*z + l**2 - 5*z wrt l?\nAnswer: 2*f**3 - 2*f*z + 1152*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -28*z + 22. Let u be x(-10). Let s = -184 + u. What are the prime factors of s?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2839752 is divided by 1173?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from mzffggfnzf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 72 = -3*v. Let x be (-4)\/(-18) - 3584\/v. Let l = x - -3. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**5\/30 - 382*k**2. Let m(j) = 2*j - 3*j + 2*j + 18*j. What is m(u(s))?\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at most -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**3\/6 - x**2 - 2*x. Let m(l) = -1. Let v(k) = -h(k) + 2*m(k). Let f(y) = -y + y + y + 0. Give f(v(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 0*k + k + (-3 + 3 - 1)*(54 - 54 - 11*k) - 2*k + 4*k - k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173 - -148.6. Round p to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19720468 is divided by 210?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 72426546 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39805 - 22526. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + 27*g**2 + 94*g - 18. Determine h(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 7*x**2 - 5*x + 12. Let r be y(-6). Suppose 7 = r*u - 5. Solve -u*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 243*b + 0 - 225*b.\nAnswer: 18*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116924.7 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k**2 + 2*k. Let z be 6\/(-15)*(1 - 6). Let c be u(z). Let t = 5 - c. Do 2\/13 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 783053 and 404.\nAnswer: 3132212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.042 - -0.0444. Let i = y + 11.3976. Which is the smallest value? (a) 0.4 (b) i (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/11, 0.14, 3 in ascending order.\nAnswer: -1, 0.14, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uudzkuuuuzduuu. Give prob of sequence zk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-6)\/(-2)*(-16)\/(-24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h. Let u(z) = -2*z. Let y(v) = 140*v. Let x(t) = 80*u(t) + y(t). Calculate x(o(i)).\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -124, -299, -574, -937, -1376, -1879, -2434, -3029?\n\"Answer: 2*b**3 - 62*b**2 - 3*b - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8628834 divided by 29.\nAnswer: 297546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 61*l**2 - 196*l + 256.\nAnswer: (l - 64)*(l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2112\/(-17) - (-10544)\/44812.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259254943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/224*(-52)\/(-39)*(1 - -2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*4\/(-60) - (-10)\/(-25). Let h = 1 - -3. Let x be ((-10)\/(-25))\/((-11)\/(-5)). Put l, x, h in ascending order.\nAnswer: x, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - a**2 - 1. Let m(x) be the first derivative of x**4\/4 - x - 344. Determine 3*m(i) - 2*t(i).\nAnswer: -i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 17*h + 57. What is y(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 1, v: 1, e: 3, h: 9, u: 1}. What is prob of picking 2 e?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06382 and -9?\nAnswer: 8.93618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let b(p) be the second derivative of -1\/9*p**3 + g*p**2 - 1\/30*p**5 + 1\/9*p**4 + 0 - 2*p. Let b(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let y(p) = 9*p - 12*p - 6353*p**2 - 7*p + 10*p. Calculate l(y(u)).\nAnswer: 12706*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 37118\/76 + (-2)\/4. Let w = 488 - c. Suppose -3*t + 5 = -2*f, -3*t = 4*f - 3 + 4. Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1078368 and 152004?\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h = -25 + 432 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 8 = -6*d. Solve 3*p = d*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12 = -24. Calculate the highest common divisor of 36 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 42*r**3 + 2*r**2 - 2*r + 1. Let z be (-18)\/(-6)*(-2)\/(-6). Does 12 divide f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20125.9 times 2?\nAnswer: 40251.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 341989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 1\/6*c**3 + c**2 + 0 + c. Let r be 5\/(-1) + (-3)\/(-1) + 3. Let k(z) = -1. Determine r*k(j) + g(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*(-80)\/(-100)*4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n**2 - 29 + n**3 + 31 + 8*n**2 + 98*n + n**2 to the form m*n**2 + u + l*n**3 + b*n and give b.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 16*y = 9, -2*y + 6 = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pqzzpzzzpppqqq.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**2 - 8*f**2 + 2 - 13*f**2 + (f - 3*f - f)*(-f - 3*f + f) + 0*f**2 - 2*f**2 + 3*f**2 - 3*f**2 + 2*f**2 - f**2.\nAnswer: -7*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l - 6*l**3 + 8*l**3 + 0*l**3 - 5*l as v*l**3 + a*l + s*l**2 + f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -476*k**7\/15 + k**5\/20 - 5*k**4\/24 + 115*k**3\/2 - 1636*k**2. Find the third derivative of h(t) wrt t.\nAnswer: -159936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 3930255.\nAnswer: 31442040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eedd. Give prob of sequence dd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 9:20 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3510 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 128. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 10*t**2 - 40*t - 13. Determine r(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztii. Give prob of sequence iz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 + -0.38. Let h = b - -0.4. What is the nearest to 0.1 in 2, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 - 4*r**4 + 3*r**4 + 0*r**4 + 2*r**2 - r to i + a*r**2 + b*r**4 + p*r + m*r**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v + 1 + 3*v**2 - 8 - 4*v**2. Calculate x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**6\/30 + 4*i**2 + 5*i. Differentiate j(r) with respect to r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702 + 2088 - 692 - 24*o**2 - 694.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159386674?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by -7541?\nAnswer: -171\/7541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - -3.98. Suppose 418*m - 10766 = 7626. What is the biggest value in 1\/3, u, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*i - 582 - 26*i - 13*i in the form x + t*i and give x.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -7. Suppose 0 = 3*a - t - 5. Let x be 2 + 65\/(-5) + (-168)\/(-28). Sort -3, a, 5, x.\nAnswer: x, -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 7*d**2 - 10*d - 16. What is i(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 795, 1182, 1551, 1896, 2211?\nAnswer: 2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-7\/10)\/(j**5*j)**(-6\/23) assuming j is positive.\nAnswer: j**(36\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = 364*h - 4788. Calculate the remainder when 20703 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/1*-10*(-12)\/(-6000))\/(276\/(-690))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, 2, -3, 0.33, -0.3, 303, 1\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**2. Let p(v) = 10536806*v. Give b(p(x)).\nAnswer: 666145684089816*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 - 151. What is the biggest value in -2, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.2, 2\/11, -2\/3, 12 in descending order.\nAnswer: 12, 3\/5, 0.2, 2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303 divided by -11378?\nAnswer: -1303\/11378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 211582 and 238?\nAnswer: 211582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 18*v**2 + 53*v + 42. What is the remainder when j(20) is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 22 = -12*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/20*20\/18)\/((153\/5)\/(-3)).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3.3 (c) 5 (d) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -55380 not equal to -55368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -1 - (48 - 45) - (11 + 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0 + 9. Let u(j) = 4 + j + 3*j + q*j**2 - 2*j**2 - 7*j. What are the prime factors of u(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - (-34 - 10)) + -1 + 83\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 102120102 (base 3) to base 8\nAnswer: 20363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n - 36*n + 20 = 0. Let d be 210\/28 + -1*(-2)\/n. Solve 2*o - 4 = 5*w - 5, 0 = 4*o - 5*w + d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47113*g**3 + 94228*g**3 - 47114*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -9570ab?\nAnswer: -957093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a**3*x - 20798731*a**2*x**2 + 28936*a*x**2 + 18*a*x - 7*a - x**2 - x + 2 wrt a?\nAnswer: -48*a*x - 41597462*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**5\/11 - 28728*a**4\/11 + 1746130*a**3\/11 - 16651948*a**2\/11 + 46573368*a\/11 - 40048400\/11 = 0.\nAnswer: 2, 7, 50, 14303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y - 103 = 0. Let t(d) = 32*d**3 + d**2 - d - 2. Let x be t(-1). Let r = x - y. Calculate the remainder when r is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136956 minus -0.3?\nAnswer: -136955.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 + -98. Suppose -13 = d*r - 76. Let i be 1\/3 + (-5)\/(-3). Solve -i*m + 6*m - 20 = 2*t, 15 = -r*t + m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -156 and -54.56125.\nAnswer: -210.56125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -t - 1623, 0*v + t = v + 1631. Let b = v + 3425. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**32)**(-9\/10))**(-39) assuming w is positive.\nAnswer: w**(5616\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69280 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 11*o**3 - 160*o**2 + 484 + 232*o + 76*o + 5*o**3 = 0.\nAnswer: -1, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28507 + 28510. Let x(g) = 21*g - 38. Calculate x(b).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599231 plus -2?\nAnswer: 599229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4290, 17173, 38646, 68709?\nAnswer: 107362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 7*i - 5. Let z(b) = b**2 - 7*b - 10. Let h be z(9). Let d be l(h). What is the third derivative of 2*s - s**d - 2*s + 2*s**2 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6390 is divided by 1682?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 - 7.90761?\nAnswer: -80.90761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 6*l - 3. Let q be n(-5). Suppose 0 = -q*v - v - 15. Put -3, v, 1 in descending order.\nAnswer: 1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (6 + 10\/(-2) + 3). Sort g, -12\/17, -0.4 in increasing order.\nAnswer: -12\/17, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (0 + -1 + -1). Put -4, -5, y in descending order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -3186, 2, 4, -1 in decreasing order.\nAnswer: 4, 2, -1, -4, -5, -3186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 8*g**2 + 19*g - 244. Is 18 a factor of v(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adxdixxadddddxmdx. Give prob of sequence mia.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -9*o - 9*o + 3, -4*z + 3*z + 3 = -2*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3623*k**4*n + 38*k**3*n**3 - n**3 + 273*n + 31 wrt k?\nAnswer: -14492*k**3*n + 114*k**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-34)\/(-51)*(-108)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/8)\/((-8)\/(160\/(-15))). Solve j*p + 2*i = -38 + 5, -4*i = 3*p + 31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.6 * -6.6.\nAnswer: 63.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r - 11*r + 13*r + (2*r - 3*r + 3*r)*(-3 + 5 - 8 + 2 - 7 + 3 + (4 - 4 - 2)*(-3 + 3 + 1)) + (2 - 4 + 4)*(1 + r - 1) in the form i*r + c and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v - 10. Determine l(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-14\/3)\/r)**(-5\/19))**9)**(-3\/2) assuming r is positive.\nAnswer: r**(-315\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/400 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1888 - 2084. Which is smaller: -192 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 27. Suppose 12 = 3*l, -2*c + 3*l - r = -3*c. What is the least common multiple of c and 37?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407 divided by -35288\nAnswer: 37\/3208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7469682 is divided by 2489727?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5560083463 to the nearest integer?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -339 - -339. Suppose -1783 = -5*f + 3*l, a*f + 4*l = -f + 375. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1924283886.\nAnswer: 2, 3, 7, 167, 274349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -1, -7, -2.\nAnswer: -7, -6, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3 + 38*w**2 - 396*w + 648 = 0 for w.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/15)*o)\/o*o\/o**8*o)**(6\/13) assuming o is positive.\nAnswer: o**(-176\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 933233201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**3 + 19058 + 19057 - 38115.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1145 + -3?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**4*p)**(1\/2))**(-2\/41) assuming p is positive.\nAnswer: p**(-6\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -158704*t**3 - 2*t**2 + 2*t + 4*t**2 - 2 + 0*t + 503464*t**3. Let d be x(-3). Let o = d + 3708510. What is o rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165270 and 281746?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -8. Find the third derivative of 6*x**5 + 3*x**2 - 2*x**3 - x**5 + a*x**3 wrt x.\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76876 divided by 4?\nAnswer: -19219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4220309 to the nearest integer?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 296*m**2 - 497 wrt m.\nAnswer: 592*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/8 + 3*y**2\/2 - 3*y\/8 - 3\/2.\nAnswer: 3*(y - 1)*(y + 1)*(y + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52)\/(-14) + 12\/42. Suppose o*x = 27 - 7. Suppose -2*w + 2*z + 2 = -0*z, x*w = -4*z + 50. What is the highest common factor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 1, 2\/19, -0.3 in decreasing order.\nAnswer: 6, 1, 2\/19, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 34*n + 26. Let c be w(-12). Let x = -6 - c. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*c + 4. Let m(w) = c + 14*w - 1 + 1 - 1. Is 21 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*q - 134*q + 3*r = 65, -5*q + r - 55 = 0 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -757, 239, 0.03, 0?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*((-135)\/(-108) + 2\/(-8))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2. Let h(o) = o**2 + 126. Calculate h(l(f)).\nAnswer: 4*f**4 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -191c (base 13) to base 7\nAnswer: -13625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 37080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 3*j**4 - 3*j**4)*(-3*j + 6*j + 3*j + 0*j + 0*j + 2*j + (2*j + j - j)*(5 - 2 - 1) - 7*j + j + 3*j).\nAnswer: -9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, s: 13}. Give prob of picking 3 d and 1 s.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1386 and 20205?\nAnswer: 3111570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:06 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-451 + 935 - 259)*(o - 2*o + 2*o).\nAnswer: 225*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -44, -54, -64?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t - 4064759 = 40*t - 43*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/44196 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 12:03 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 9*x**2 + 8*x + 4. Let p be d(8). Let q be p + -4 + (-3)\/21. Let u = 3.2 - 2.7. Put -1\/6, u, q in decreasing order.\nAnswer: u, q, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 462?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (-4 + (sqrt(12) - (-1 + sqrt(12))) - sqrt(12)) - (sqrt(84)\/sqrt(7) + 3))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 4*q**2 - 4. Determine v(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -17035630\nAnswer: -2\/8517815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -578*c + 211551. What is z(366)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13878403 divided by -1261673?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 8 - 38. Let q be (-4)\/(-5)*r\/12. Solve q*d - 7*d = -10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/3 + 296*a\/3 = 0.\nAnswer: -148, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*w = 15*w + 74*w + 238. Solve -2*u**2 + w + 2\/5*u**3 - 2\/5*u = 0 for u.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 24 - (-1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 2*u - 2*u)*(7 - 2 - 7 + (0 + 4 - 5)*(1 + 3 - 2) + 0 + 0 - 2)*(-71 + 32 + 0) to the form j + y*u and give y.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**0)\/((f*f\/(f\/(f*f**(-8)*f)*f)*f*f)\/f)*(f**(1\/3)\/f)**(2\/57)*((f**(-1\/2)\/f)\/(f*(((f*f**(-1\/6)\/f*f)\/f)\/f)\/f))**10 assuming f is positive.\nAnswer: f**(623\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1068 - -6307\/6. Find the common denominator of i and -82\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*m - 6, -s = -3*s + 2*m - 4. What is the third smallest value in -2\/7, 2\/5, s, -29?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665 is divided by 298?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2944 less than -2312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -138, -212, -288, -366, -446, -528?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -696100 to the nearest 10000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, z: 3, h: 4, l: 4}. Give prob of picking 1 l, 1 z, and 1 v.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + b)*(-55 + 133 + 155)*(-3*b**2 + 0 + 0)*(2*b - b - 3*b).\nAnswer: 1398*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3 + s + 0*s + 6. Suppose 2*q + 4*q - 12 = 0. Suppose q*y + 3*o = -7 - 7, 3*y = -3*o - 18. Determine b(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - -2*sqrt(7)) + 1 - (5 + (sqrt(7) + -3)**2).\nAnswer: -20 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 2*a - 5*t, 188 = -3*a + 5*a + 4*t. Suppose -27*p - a = -34*p. What is the least common multiple of p and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 3*g**2 + 17 - 2*g + 44*g**2.\nAnswer: 41*g**2 + g + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*l - 6 = 4*z, 27 = -4*z - l. Let i be z\/(-5)*(-30)\/9. Let b be i\/(-6)*18\/4. Solve -1 = -b*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 467.\nAnswer: -2\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + w - 1. Let v(z) = -43*z**2 - 20*z - 27. Calculate -38*b(o) - 2*v(o).\nAnswer: 10*o**2 + 2*o + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-5) - (-48)\/(-10). Do 0 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**5 - i + i)*(-21 - 40 + 31)*(-1 - 11 - 5).\nAnswer: 510*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6*x - 6*x + 17*x**2 + 255*x**2.\nAnswer: 272*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 61*j**2 + 268*j + 105. What is d(-8)?\nAnswer: 1865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 50\/6923 (c) -0.3 (d) 5\/6 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*n - 28, -n - 2*o + 4 = -o. Calculate the remainder when 27 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (121*d**3 - 286*d**3 + 710*d**3)*(-6*d + 25*d + d) in the form x*d**3 + y + o*d**2 + j*d**4 + h*d and give j.\nAnswer: 10900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v = -33 - 163 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4156, -4177, -4218, -4285, -4384, -4521, -4702?\nAnswer: -4933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 1034 + 2549. Is 34 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**3 + 3*m**2 + 3*m + 255. Let l(x) = -2*x**3 + 2*x**2 + 2*x + 256. Calculate -2*j(n) + 3*l(n).\nAnswer: 2*n**3 + 258","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2020404423 (base 5) to base 16\nAnswer: -3e305d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 91.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q + 0*q + q - 8*q. Let h(i) = 8*i**2. What is h(z(m))?\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*r + 1403 = 443 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 359157.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 1. Let m(a) = -98*a - 63. Let x(n) = -273*g(n) + 3*m(n). What is x(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206 + 206 + 816*m**2 - 2066*m**2.\nAnswer: -1250*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 3*p - 2. Suppose -3*z = 2*r - 2, 4*z = r + 34 - 13. Suppose -2*u = -10 + z. What is b(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40831061371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 40.8. Let h = -2.88 - n. Let x = h + 0.08. Which is the second biggest value? (a) 0.5 (b) 1\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*((-960)\/(-228))\/(-4).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {w: 1, c: 1, l: 1, p: 2, j: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 5*q**2 - 4*q + 11. What is the remainder when 306 is divided by s(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 + 9*x + 11. Let g be v(-8). Suppose -17 = -g*r - 5. Differentiate 4*p**4 - 3*p**r + 1 + 2*p - 2*p with respect to p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73.6 + -73.6000771. Round u to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oob. Give prob of picking 1 b and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 40\/9 - -4*(-3)\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -15*r**2 - 4*r + 2. Let f(u) be the third derivative of u**4\/24 + 5*u**2 + 505*u - 1. What is f(t(p))?\nAnswer: -15*p**2 - 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-14)*(1 + 1). Suppose -6 = 2*v - 2*b, 0*b - 3 = -b. Suppose 5 = -5*f - v*f. Which is bigger: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1990*b*l**2*s**2 + 2*b*l**2 - b - 6*l**2*s - 13*l*s**2 wrt b?\nAnswer: -1990*l**2*s**2 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4125 - -3486. Is -6 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - (-12 + 34)) + (-776)\/(-48). Find v such that 0*v**2 + q*v**4 + 0 + 0*v - 1\/6*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5210.90018 + 5211. Let x = -12.4 - -12.3. Let p = x + t. Round p to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6734635?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/6 and 113\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1284 + -1283.8. Let z(t) = -t. Let u be z(-4). Which is the third smallest value? (a) 0 (b) u (c) x (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5298 - (8 + (-14 - -19))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, 213, -1, 0, 12, -5.\nAnswer: -163, -5, -1, 0, 12, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.784946m to nanometers.\nAnswer: 2784946000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 393*q + 26. Suppose 3*n - 176 = 7*n. Let p = -35 - n. Is w(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4431.487 millimeters to micrometers.\nAnswer: 4431487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254*h**2 + 508*h**2 - 247*h**2 + 4*h to the form k + m*h**2 + d*h and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117 - 113. Suppose -8 = -v*i - 2*d, 4*d = 5*i - 43 + 7. Solve 4*w - 16 = -i*a, 3 = -2*w + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - -6)*14\/(-4). Solve 2*c = 1 - g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*f + 4*h, 2*h + 54 = 4*f - 16. Calculate the remainder when 57 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.038? (a) -7 (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1348, 1335, 1322?\n\"Answer: -13*z + 1361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*i = 1 + 14, 2*a = -5*i + 10. Solve 4*d = a*d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2682 = -10*q + q. Suppose 3*v - 211 = -0*v - r, 2*r = 4*v - q. Calculate the highest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 + -105?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 244?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 17 = -23. Suppose -w*u + 9 - 9 = 0. Suppose u = 5*l + 20, 0 = 2*b - 3*l - 9 - 225. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 68.22 (b) 1 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2) - ((-30)\/(-6))\/(-5). Let c be 5 + 19 + u - 1. Calculate the highest common divisor of c and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -251.1 + 251. What is the closest to d in -3, -0.04, -2, 0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124)\/(-10))\/(((-13)\/(-13))\/(5\/(-2)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011 + -101111101?\nAnswer: -1001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*g**3 + 5*g**3 - 4*g**4 - 20*g**3 + g**4 + 2*g**2 as n*g + l + a*g**2 + d*g**4 + z*g**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 32?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**4 + 32*m**3 + 31*m**2 + 6*m. Let h(w) = -w**4 - w**3. Let n(x) = 7*h(x) - z(x). Factor n(v).\nAnswer: -v*(v + 1)*(2*v + 3)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 342 in 1\/4, 10, 4, -0.2, 0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3776123816 - 9.863.\nAnswer: -11.2406123816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.9 (b) 1\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8917 - -8912. Let j = -103\/12 - -26\/3. Sort f, -1\/4, 3, j in decreasing order.\nAnswer: 3, j, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -529122.2.\nAnswer: -158736.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) - 94\/6. Let v(g) = 94*g**3 - 22*g**2 + 5*g + 23. Let f be v(k). Let o = -1010713 - f. Round o to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-5) + (-880647)\/(-345)?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005342.\nAnswer: 2, 3, 13, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.13 (b) -0.1 (c) -20.7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/7 + 8*n**4\/7 + 12*n**3\/7 + 8*n**2\/7 + 2*n\/7 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x. Let j(v) = 8*v. Let d(k) = 6*h(k) + 7*j(k). Let o(c) = -40*c. Determine o(d(p)).\nAnswer: -80*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000830546 rounded to seven decimal places?\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 93 + 17565575?\nAnswer: 17565668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 0)\/(25\/50). Let c be (108 + -103)\/(0 + (-2)\/k). What is the highest common factor of c and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 2. Let y(b) = -70*b - 42. Let g(d) = -21*i(d) - y(d). Let z(m) = 6*m. Give g(z(a)).\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - 85*y + 72. Determine i(-29).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19353, 19351, 19349, 19347, 19345?\n\"Answer: -2*p + 19355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-5)\/35)\/(3\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**6\/120 + f**5\/10 - f**4\/4 + f**3\/3 - 10*f**2. Let h be -3 + 5 - -2 - -1. Calculate n(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 863324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**4\/2 - 4*g**3\/3 + g**2\/2 + 2*g + 3. Is p(2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 37. Which is the smallest value? (a) y (b) -13 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**4 - 1922*o**2 - 150933*o wrt o?\nAnswer: -12*o**2 - 3844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 12) to base 5\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*u + 13, -5*u - 2*i = -0*i - 18. What is the smallest common multiple of (2 - 5)\/((-2)\/6) and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/4 - h**2\/2 - 8*h. Let o be b(1). Let f be o\/(-3)*255\/34. Solve 4*j + f = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 4:56 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.540324 - -0.54. Round i to 5 dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*z - 1726 - 7470 = 0 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j - 9*j + 220 = -68 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*3\/(-9)*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10261942\/3 < 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 11533 = -t - 5*r, -5759 = 2*t - r. Let m = t - -4379. List the prime factors of m.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67088056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -178 divided by 73\nAnswer: -178\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10*a*a**1\/a)\/((a\/((((a\/a**(6\/13)*a)\/a)\/a)\/a*a)*a)\/a**(-2)) assuming a is positive.\nAnswer: a**(85\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 13662?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 715*x**3 + 43*x**2 + 231*x**2 + 397*x**2 - 7*x**4 + 1 - 36*x**2 - 3*x**4 wrt x?\nAnswer: -240*x + 4290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 866*h + 178. What is the tens digit of y(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/24 (b) 3\/8 (c) -2 (d) 71 (e) 1\/5 (f) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 0*t**2 - 8*t + 4 + 7\/6*t**3. Let k(f) be the first derivative of d(f). Let s(p) = -2*p**2. What is s(k(z))?\nAnswer: -98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**3*l**5 - 21*h**3*l**4 + 28*h**3*l + h**3 wrt l?\nAnswer: -120*h**3*l**3 - 252*h**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -251, -254, -257, -260, -263, -266?\n\"Answer: -3*g - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29912859 or -29912860?\nAnswer: -29912860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159.9 + 158.5. Which is the closest to 0? (a) 1 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 3. What is s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8. Suppose y = -h - 0*h + 3. Suppose -v = -10 + h. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 72 = 20*n. Let x be (-18)\/n*2\/9. What is the closest to -0.1 in 4\/5, 3\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -12*k**2 + 1\/3*k**3 + 17 - 2*k. Let x(o) = 3. Calculate 24*x(p) + 3*z(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67437.55 millennia in years?\nAnswer: 67437550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 + 510*u + 512. Give q(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1283, 2570, 3857, 5144, 6431?\nAnswer: 7718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 51. Let h = -20 - r. Let s(j) = 5 - 33*j - 4 + 31*j. Let c(g) = -g**2 - 6*g + 4. Give h*c(v) + 7*s(v).\nAnswer: 2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134487093196 - 1.\nAnswer: -134487093197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37 - -30358?\nAnswer: 30321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 37*c - 22. Let g be n(13). Solve g*o + 5*i + 9 = -2, 5*o - i = 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 57.8. What is f rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-50)\/(v**(-5)\/v*v\/(v**(-2\/3)\/v*v))*(v**3*v**(-6))**48 assuming v is positive.\nAnswer: v**(-419\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 2 k when four letters picked without replacement from gbkragakgagt.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**2 + 3*d**2 + 4*d - 4*d.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210931.\nAnswer: 7, 30133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/60 + 53*c**3\/6 + 12*c**2. Is 8 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1843759925 by -5.\nAnswer: -368751985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33921 or 936?\nAnswer: 33921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6925786.\nAnswer: 2, 7, 494699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10 + 10*j + 9*j - 18*j.\nAnswer: j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -2*b**3 - 28. Let f(z) = 3415*z**2 + 3417*z**2 - 6838*z**2. Give f(q(v)).\nAnswer: -216*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*((-16)\/(-20) - 1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6855.681mm in centimeters?\nAnswer: 685.5681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -1 + 6 + 4. Suppose 2*n + v = n. Let d(k) be the third derivative of k**5\/60 + k**4\/3 + k**3\/3 + k**2 - 4*k. What is d(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1675, -3282, -4889?\n\"Answer: -1607*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3 + 25*v**2 + 4672*v + 91136 = 0.\nAnswer: -32, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48360 and 10790.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 divided by -14?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 + v**2 + 9 + 11 - 20 + 22*v + 32*v as w + a*v**2 + d*v**3 + q*v and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35532 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 1. Let t(l) = l - 7. Let p(o) = 71*o + 185. Let n be p(-3). Calculate n*y(v) - 4*t(v).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + 129\/2. What is the biggest value in -1\/3, -0.09, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119289445?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215633.6 seconds to microseconds.\nAnswer: 215633600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1121)\/57 + 19)*(-9)\/18)\/(3\/(-93)).\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + -23424?\nAnswer: -23450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*h**3 + 312*h**3 - 882*h**3 + 375*h**3.\nAnswer: 125*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 222112102 (base 3) to base 5\nAnswer: 1104333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.32 (b) -0.1 (c) 1\/4 (d) -2763 (e) 5\/6 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-6 - (-15 - -13)). Solve 3*i - 12 = 4*g, -x*i = -19*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 + (-10 + 1 + 50 - 8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.3? (a) -0.4 (b) 25 (c) -193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r**2 + 21*r - 9. Let c(i) = -5*i**2 + 10*i - 5. Calculate 11*c(q) - 6*x(q).\nAnswer: -q**2 - 16*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = m - 3*m + 10, 26 = 4*c - 2*m. Let j(y) = y + 2. Let u be j(3). Is c less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4010, -4, 39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 9) in base 12?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 493*r**3 + 7*r**2 - 27*r + 15. List the prime factors of g(4).\nAnswer: 131, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14019\/10711 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 27 - 78)*(-3*x - x + 3*x) - 4 + 3*x + 4 in the form y + p*x and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**1*o*o*o**9*o**(-1\/3)\/o**2 assuming o is positive.\nAnswer: o**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47, 73, 77, 53, -5, -103, -247?\n\"Answer: -n**3 - 5*n**2 + 48*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 161803659.\nAnswer: -2\/161803659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 244.30849 to 0 decimal places.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 317, 0.07, -4, 0.013, -1\/6 in descending order.\nAnswer: 317, 1, 0.07, 0.013, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/4)*l*l)**(-2\/15))**(4\/19))**(-2\/31) assuming l is positive.\nAnswer: l**(12\/2945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 2. Let p = 30 + -121\/4. What is the second biggest value in p, q, -2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -541.9468 - -542. Round p to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9386? (a) -0.4 (b) -1 (c) 6774\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4553 and 5974.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1621 and 154884929?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/6 + 2*c**2 - 6*c. Let h(s) be the first derivative of u(s). Let p(x) = -2*x**2. Give p(h(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s - 37800 = -17*s. Round s to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2106*h**3 - h + 4 - 4132*h**3 + 2165*h**3 to the form s*h**3 + v*h**2 + t*h + n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y + 4*t - 2, 4*y + 3*t = 21. Suppose -4*p = -2*h + y, -p + 3*h = 3*p + 11. Solve 5 = 4*x + p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7673383 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/8)*f**(-1\/7))\/(f**(-2\/29)*f**(-17)) assuming f is positive.\nAnswer: f**(27285\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/1923 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 472832366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (80\/(-28) + 4 - 10096\/896)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:37 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c**2 - 8*c**2 + 20*c**2)*(963*c - 40*c + 118*c) - c**3 + 4*c**3 - c**3.\nAnswer: 33314*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/96*36\/(-20). What is the nearest to j in 2, -161, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 39*o**2 + 56*o. Let n(l) = -21*l**2 - 28*l. What is 6*h(d) + 11*n(d)?\nAnswer: 3*d**2 + 28*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(0*w - 2*w - 2*w) + 3*w - 1 + 1.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 7*h - 13. Let i be w(-10). Suppose i = 4*o - 5*f + 4*f, 0 = 2*o + 2*f - 16. Solve -r + 4 = -3*r - c, 3*r = -2*c - o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((15370\/87)\/53)\/((-20)\/(-48))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*d = 10, -d = -10*q + 9*q + 3. Let g(n) = 6*n. Let z(t) = 2*t - t + 0*t + t**2. Let j(v) = q*g(v) - 3*z(v). Factor j(k).\nAnswer: -3*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*b + 2*a + 74 = 232*b, -5*a = 15. Are b and 614\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 1. Let b(x) = -11*x**3 - x**2 + 34*x - 11. Let v(d) = -2*b(d) - 22*y(d). Let i be v(1). Which is greater: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 26*b + 87. Let k be y(22). Sort k, -16, -2, 0 in descending order.\nAnswer: 0, k, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j - 63710 = 54*j - 122*j. Calculate the highest common divisor of 4 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1)*(-1480)\/120?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237540 by 15.\nAnswer: -15836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vaddhv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 8, 0.\nAnswer: 0, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-45))\/((-1)\/((-3)\/(-15))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -10, -2 in ascending order.\nAnswer: -10, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 6250?\nAnswer: -6255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -27*y**3 + 11 + 43*y**3 - 7*y**3 + 12*y**3. Let d(g) = -4*g**3 - 2. Let s be (-20)\/(-9) + 2\/(-9). Give s*r(w) + 11*d(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2*o + 3*o)*(2*o - 5*o + 4*o) - 7*o**2 - 10*o**2 + 5*o**2 + (-2 + 2 + 2*o)*(2*o + 5 - 5) + 3*o**2 + 0*o**2 - o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) -0.1 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*m**3 + 2632*m**2 + 1135*m + 29 wrt m?\nAnswer: -534*m + 5264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 0 - 2 - 6*d + 2*d. Let m(c) = c. Give -3*m(z) - y(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 581 - 576. Suppose -126 = -z - z. Suppose -3*b + z = -c, 4*b + v*c + 7 = 5*b. What is the highest common divisor of 88 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -18812, -9 in descending order.\nAnswer: -5, -8, -9, -18812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2551396 and 608?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -2 + -24 - -7. Let x = -37 - -20. Is x <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2 = k. Let i(y) = y**3 + 19*y**2 + 49*y + 17. Let p be i(-16). Which is the third smallest value? (a) -1.2 (b) k (c) p (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkqkkkkqkkkkkkqkk. What is prob of picking 1 k and 2 q?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 0.09, 0.4, 6\/11, 3827?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -624*u - 31. Let n be p(-1). Let o = n - 616. Find the common denominator of -27\/22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*l**2*q**3 - 4*l**2*q + 5*l**2 - 999*l*q + q**3 wrt l.\nAnswer: -60*q**3 - 8*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -155 - -141.3. Let m = x - -14.1. Sort -0.1, m, -2 in decreasing order.\nAnswer: m, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/2 (b) -20 (c) -2\/7 (d) 5255 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 3*q + 2*q**2)*(-5 + 3 + 4) + (3*q - 2*q + q)*(5 + 4 - 5)*(-451976 - q + 450196 - q) in the form g*q + i + x*q**2 and give g.\nAnswer: -14240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 424361 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13199704 divided by -1885672.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101100110010101001 (base 2) in base 8?\nAnswer: 3546251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*(g\/((g\/g**8)\/g))\/g)\/((g**(2\/11)*g)\/g*g**(-3)))\/((g\/(g*g\/g**3))**(29\/5))**30 assuming g is positive.\nAnswer: g**(-3753\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 0*v - 28 = -22*a - 3*v, -a + 2*a = 14*v - 41 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r - 5*d + 8, -9 = -r - 5*d. Let a = r - -8. Suppose -83 = -5*v + a. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5432953\/6256 + -14766\/17. Find the common denominator of 24\/115 and k.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 1384 - 1369. Suppose -n*c - 26015 = -28*t + 23*t, 2*t + 2*c - 10422 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 0.1, -12 in descending order.\nAnswer: 7, 0.1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 - 2 + 2 - l**2 + 3*l**2 - 8*l + 5*l + (8*l - 3*l + 12*l)*(-l + 2*l - 2*l) in the form u + t*l**2 + z*l and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - 41193602.\nAnswer: -41193601.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*r. Suppose 79*j = 69*j - 30. Is j*r\/((-9)\/22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 14*m + 28*m + 10 - 8 to the form o + c*m and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1037 * -39\nAnswer: -40443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, and 1 k when three letters picked without replacement from llkykn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4022, -4087, -4148, -4205?\nAnswer: -4258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2333 and 47240917.\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3483 and 117207?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.5866 and -9.\nAnswer: 32.2794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*n**2 + 282*n**2 - 120 + 268*n**2.\nAnswer: -4*n**2 - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*r + 60 + 48. Suppose -3*o + 14 = -25. Solve -o + 9 - 6*p**3 - 12*p**r - 34*p**3 - 24*p - 48*p**2 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v\/(v\/v**(24\/11))*v)*v*v*(v*v*v*v**(-3\/16))\/v*v*v)\/(v**(2\/55)\/v)**37 assuming v is positive.\nAnswer: v**(34571\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {r: 1, x: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13776, -13925, -14074?\nAnswer: -14223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -h, 0 = -4*a - 2*h - 2*h. Suppose a = -4*s, 2*d - d - 336 = 5*s. Calculate the highest common divisor of 42 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5286748.\nAnswer: 2, 47, 61, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -321\/259 - -30\/37. Which is the smallest value? (a) -4\/19 (b) l (c) -5 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838298 is divided by 8309?\nAnswer: 7398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 4*c + 5. Let x be p(7). Let n = x - -18. Let j(k) = 3*k**2 - 1. Give j(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 1:30 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = -3*j + 12, -4*j - b + 23 = 0. Suppose 2*s**4 + s**5 - 3*s**j - 4*s**4 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161301065 is divided by 191115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-12)*4\/10*-4. Let r = 0.076 - 0.116. Which is the closest to r? (a) -5 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(4\/(-3))\/(-1). Let j(x) = -5*x**2 + 3*x - 3. Let h(p) be the third derivative of -7*p**5\/30 + p**4\/3 - 4*p**3\/3 + p**2. Calculate n*j(z) + 3*h(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x + 7*x + 3*x + x + 20 + 5*x - 25 + (-2 + 1 - 3)*(-5*x + x + 5*x) in the form k*x + r and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (696*x**2 + 17*x**2 - 171*x**2 + (2 + 2 - 1)*(x**2 - 2*x**2 - x**2))*(2*x**2 + 4*x**2 - 2*x**2).\nAnswer: 2144*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15415225 (base 6) to base 8.\nAnswer: 2053741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 198.51847602+1.29\nAnswer: 199.80847602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 150243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*y - 21 = 0, -5*y = -147*l + 144*l + 34 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.448839246 rounded to four dps?\nAnswer: -2.4488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 greater than or equal to 1720\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 6:44 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133.3 - 133. Let j be (3 - (-22)\/(-6)) + 64\/78. Which is the nearest to -3? (a) 1 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjx when three letters picked without replacement from {x: 1, j: 2, k: 1, h: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(6\/(-3) + 3). Let h(c) be the first derivative of c**4\/24 - 11*c**3\/6 + 2*c**2 - 1. Let w(k) be the second derivative of h(k). Calculate w(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**3\/6 + 5*g**2 - g. Let z be v(-5). Solve -w + 4*n = -3*w - 6, 3*n = z*w - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 12 + 12. Suppose 8*z - 8 = 4*z. Let g(w) = -2*w + 4*w**2 + z*w - 3*w**2. What is l(g(n))?\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/2*(-2)\/14*(-12264)\/(-876).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**3\/6 + 5*i**2\/2 + 31*i. Let g(b) = -2*b**2. Calculate c(g(y)).\nAnswer: 2*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + j**2 - 3*j**2. Let t(m) = 2*m**2 + 5*m**2 - 9*m**2. Give t(o(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 372 = 6*k, -5*x + 10*x + 4*k - 892 = 0. Solve 175*g - 25 = x*g, -4*u - g = -7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5 + j**4 + 121*j**3 - 17*j**2 - 6716*j - 8 wrt j.\nAnswer: 40*j**3 + 12*j**2 + 726*j - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -4\/3 (c) -3\/5 (d) 239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(364)*1)\/sqrt(7))\/sqrt(4).\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9849 + 10836. What is the smallest common multiple of i and 33?\nAnswer: 10857","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13704.\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26600 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41335285845 and 0.1.\nAnswer: 41335285845.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 54. What is the tens digit of m\/(32\/112 - 23\/105)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k + 3. Is w(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1097206.1639569 - 0.1639569. Let t = -1097191.99961 + h. Let c = -14 + t. Round c to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0473039 to two decimal places.\nAnswer: 3.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 749, 1197, 1271, 971, 297?\n\"Answer: -187*p**2 + 1009*p - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14713, 15059, 15405, 15751?\n\"Answer: 346*p + 14367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 2334 - 2*d + 2333 - d**2 - d**2. Let s be x(3). Suppose s*t = 11 + 57. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365 divided by -3.\nAnswer: 365\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 30*f**2 + 17*f + 65. What is the hundreds digit of u(-29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24726\/(-819) - (-3)\/(-21))*3\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**8\/2184 + k**7\/455 - k**6\/20 + 29*k**5\/390 + 25*k**4\/26 - 48*k**3\/13 - 14595*k**2. Suppose r(b) = 0. Calculate b.\nAnswer: -8, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -672, -1321, -1942, -2529, -3076, -3577, -4026?\nAnswer: -4417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -214 and 0.373.\nAnswer: -213.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0 (b) -0.7 (c) 4509\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 9. Is (-214)\/(-4) - u\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 878 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**6*t**(1\/13) assuming t is positive.\nAnswer: t**(-64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmcwewr. What is prob of picking 1 c and 2 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Suppose -l = -v - i, -2*l - 1 = -3*v - 5. Suppose 3*t - l*u - 17 = 0, t - u = 5*t - 15. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 3967.38.\nAnswer: 3962.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:09 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*d = -0*t + 12, -4*t + 2*d + 24 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 + 0.9. Let h = 0 - 3. Put y, h, -0.2 in decreasing order.\nAnswer: -0.2, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58996 (base 16) to base 14.\nAnswer: 96378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r + 2*j = 6, j = 0. Suppose -8 = -r*x + x. Suppose 3*b + 2*k + 12 = 2*b, k = 2*b - 1. Sort x, -3, b in ascending order.\nAnswer: -3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -80772?\nAnswer: 80772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i**3 + i**2 - 1. Let l = -9 - -8. What is the units digit of y(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h + 564 - 204. Does 6 divide (h\/(-1))\/(2*(-1)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 5*n**2 + 3. Let s be y(-5). Suppose -l = -3 - s. Let t be 70\/21*l\/(-5). Sort -1, -5, t.\nAnswer: -5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, and 1 t when three letters picked without replacement from wwxthpthhwhhhh.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27784*u + 27766*u = -198 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20121022 (base 3) in base 9?\nAnswer: 6538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) -1 (c) 1502 (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 4*p**3 - p**3)*(5*p**2 + 0*p**2 - 2*p**2) + (p**5 - 2*p**4 + 2*p**4)*(3 + 3 - 3).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**4 - x**3 + 140*x**2 + 40973*x wrt x.\nAnswer: -24*x**2 - 6*x + 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 1300414431?\nAnswer: -1300420011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85239 by 611.\nAnswer: 85239\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100000 + -1011001010000010110?\nAnswer: -1011001011001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7378355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.25, -0.5, -1, 6?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*m + 40 = 8*h, -4*h - m + 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -1 + (5 - -4) + -14\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12699 - -27394. What are the prime factors of z?\nAnswer: 5, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8336*n = -168*n - 442208 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 27. Suppose 0*c + b = 5*c. Suppose k + 203 = 5*o - 202, 2*k + 243 = c*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121305483?\nAnswer: 3, 13, 1036799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**3 + 2*y**4 - 7 - 6*y**3 + 28 to i*y**3 + w*y**2 + d*y + m + j*y**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3695*g*x**4 + 32693*g + 4*x**4 wrt x?\nAnswer: -14780*g*x**3 + 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 6*p**2 + 3*p - 14. Let n be h(6). Suppose -n*r + v = 3*v - 186, -4*r + 174 = -2*v. Suppose -r*m + 43*m = -6778. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 68.1077t?\nAnswer: 68107700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2737 - 2743 + 5480 - o. Let v(y) = -924*y**2. Give v(p(h)).\nAnswer: -924*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -9. Let h = v + 23. What is the greatest common divisor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 15\/2, 19802, 0.5, -3\/4, 1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-84)\/(-126) + (-199)\/24 and (-39)\/(-11) - (-2 - -3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 167478 in increasing order.\nAnswer: -2, 5, 167478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 + -135.943. Let k = -768 - -768.403. Let g = q + k. What is g rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51\/2? (a) -0.04 (b) 0.4 (c) -0.1 (d) 2798 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.2 - 37.2. Which is the closest to -1.1? (a) f (b) -12 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p. Let a(v) = -239*v + 1. Determine -2*a(k) - 6*w(k).\nAnswer: 466*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f - 3 = 0. Let l be ((-306)\/204)\/((-2)\/8). Sort l, -2, 2, f in increasing order.\nAnswer: -2, f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = 237 - 533 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3481617 centuries to months.\nAnswer: 417.79404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/((-1080)\/840).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 12, -167, -8, 2, -5.\nAnswer: -167, -8, -6, -5, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 10. Let m be l(12). Suppose -m*s - 16 = 2*s, -16 = -4*f + s. Sort -10, -5, f.\nAnswer: -10, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n - 2*n**2 + 3*n - 3)*(-n - n + 5*n).\nAnswer: -6*n**3 - 3*n**2 - 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 18*f - 40. What is y(22)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from cyytycxyyyytxxtyxjy.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**3 - 4*h**2 + 2*h. Let q(w) = -12*w**3 - 11*w**2 + 5*w. Calculate 8*o(s) - 3*q(s).\nAnswer: 4*s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/44 and 101\/244?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 2*n - n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 16144*z - 8072*z - 8079*z. Let l(t) = 6*t + 15. Give d(l(p)).\nAnswer: -42*p - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -3*p. Suppose p = -3*f + 2 + 7. Suppose f*z - 8 - 145 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44449, 0, -5 in decreasing order.\nAnswer: 44449, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x + 3*x - 18*x + x**2 + 2*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0064792107 rounded to 6 decimal places?\nAnswer: -0.006479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6732 is divided by 64.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1881 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (225\/(-90))\/(5\/(-16)). Let z be (6\/(-8))\/((-1)\/t). Solve 0 = -z*x - 6 - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 960465 and 8525?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209cba (base 14) to base 9.\nAnswer: 2060750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34034165?\nAnswer: 5, 11, 179, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 7:24 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59273970 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 + 5)*((2 - 2*v**2 - 2)*(1 + 0 + 1) + v**2 - v + v).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236 and 2419.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -177990*k. Let v(u) = 8*u**2. Give v(y(b)).\nAnswer: 253443520800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -481705 (base 10) in base 12?\nAnswer: -1b2921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 3:54 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39096 by 181.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvgfzaa. What is prob of picking 1 g, 1 f, and 1 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/14 - 2\/(-7). Suppose -5*d + 10 = -5*k, -t*d = 3*k - d - 10. Suppose -1 = -k*b + b. Is b < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/20 - (-27)\/(-90). Solve 0 = 5*l - 3*r + i, -l - 8 = 2*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*p + y - 3, -2*y + 1 = p. Let j = p - -2. Solve 0 = -8*b + j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167807\/252 - 5978\/9. What is the common denominator of s and 133\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrcrcrcrcrrrrc. Give prob of picking 2 c.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144395809 or -144395808?\nAnswer: -144395809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 85 (b) -1 (c) -140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9233 is divided by 776?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107474)\/(-29648)*((-36)\/1)\/((-9)\/6)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 45114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/60 + s**4\/8 - 7*s**3\/6 + 2*s**2. Let z be g(-5). Suppose -5 - 1 = -z*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 81*s**2 - 22*s - 11966. Calculate a(83).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 5388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10001100?\nAnswer: -10001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.428 + 0.728. Which is the closest to -29? (a) v (b) 1\/3 (c) -1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-302)\/(-1359))\/((-16)\/(-72))*-111.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39679133.\nAnswer: 13, 37, 82493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*f + 47. Suppose -3*s + f*s = -2*z + 90, -4*s = 5*z - 183. Calculate the lowest common multiple of s and 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8860, -13810, -18746, -23662, -28552, -33410?\nAnswer: -38230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 7741?\nAnswer: 7735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 604 = -618. Suppose 5*c + 20 = -8*l + 3*l, 0 = 2*c + 10. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -3)\/(4\/(-24)). Suppose -5*l - 5 = -g. Suppose l*a - a - 44 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.5 - -1.5. Let x = -3.7 + f. Let c = x + -3.3. Sort c, 0, -0.5.\nAnswer: -0.5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7518 at least -97728\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29897474?\nAnswer: 2, 14948737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r. Suppose r = -3*x - x + 24. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-1) - 4085\/380)*-4. Solve x = -g, -17 = -y - 10*g + 15*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -964696 (base 12) in base 7?\nAnswer: -26105565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r = -38*r - 50. Let f(t) = 2*t**3 + 4*t**2 + 4*t + 4. Let v(d) = -d**2 - d - 1. What is r*f(y) - 20*v(y)?\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y. Let h(k) = k**3 + 47*k**2 + 132*k - 3. Let n be h(-44). Let b(s) = 10*s. What is n*b(d) - 7*i(d)?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123\/13 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*q - 49. What is the remainder when 62 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1965 - -1960. Which is the second biggest value? (a) -3\/4 (b) 1\/2 (c) p (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-20))\/((-6)\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y*y\/((y**2*y)\/y))*y**8)\/((y\/(y\/y**(-6))*y)\/y**(-1\/9)) assuming y is positive.\nAnswer: y**(107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 2*o - 3*o + (-2*o + o + 2*o)*(-1 + 3 - 1)*(-4 + 5 + 5 - 3 + 2 + 0 + (1 - 3 + 8)*(-3 + 1 + 0)) as y + c*o and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:10 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13832849 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 1 + 23. Suppose -w = -2*n - 4. Suppose 2*o = b - 2*b, -2*b + 4*o + 24 = 0. Which is greater: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*2 - -3. Suppose -39 = -4*u + 5*p, u = y*p - p + 9. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h + 5 = 36*h. Sort 0, h, -7, -6 in increasing order.\nAnswer: -7, -6, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 16674, 4, 3, 1 in decreasing order.\nAnswer: 16674, 4, 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -65645245106 and 31.\nAnswer: -65645245075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2132*s + 3 + 36 - 219*s - 37 + 334*s to the form b*s + y and give b.\nAnswer: -2017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2. Let q(f) be the second derivative of f**3\/6 - 16*f. Calculate l(q(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11 - 3*d**2 + 4*d**2 as h + s*d**2 + x*d and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-20)*24\/((-624)\/(-13))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*l - 2*l. Suppose -19*y = -17*y - 102. Calculate the remainder when y is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*c = 20666, 0*o + 82739 = 4*o - 5*c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186*x**2 - 2\/5*x**3 + 328536\/5 - 106704\/5*x.\nAnswer: -2*(x - 3)*(x + 234)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 203 = 3*o + o, -o + 327 = 5*d. What is the highest common factor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*f = 1 - 9, 0 = -3*n - 4*f + 14 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -52040 bigger than -52039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4217 - -7341. List the prime factors of z.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - 3) + (9 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 48*b + 84.\nAnswer: 3*(b - 14)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:14 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*u + 5. Suppose 5*r = -3*v + 16, v - u + 6 = 3*r. Suppose -y + 3*z = -4*y + 21, r*z = -y + 4. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 105 = 5*d, -11 = -5*d + s + 64. Let y(w) = 9*w**2 - 2*w + 1. Let c be y(-2). Let x = c - d. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1008) + -1 - (-2*sqrt(1008) + 0))**2 + (0 + sqrt(112) + 1)*-6.\nAnswer: -48*sqrt(7) + 1003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -1942 - 4493. Let g be 8394\/4 + (-9)\/(-3). Let c = f - g. Calculate the common denominator of c and 27\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 6*u + 43. Suppose -5*o = -91 + 141. Calculate v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -270*k - 1665. Calculate i(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -71, -206, -467, -896, -1535, -2426, -3611?\nAnswer: -5132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744397 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 7 - 2) + -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d + 5*d)*(0*d**2 + 0*d**2 - 2*d**4) + d**5 - 3*d**3 + 3*d**3.\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1498 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 32 - 14 = 7*y, 1 = -5*b + 2*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -3*p**4\/4 - 3*p**2\/2 - 5. Find the second derivative of q(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 503 = -5*o, 9*o - 11*o + 5*c - 215 = 0. What is the common denominator of 61\/154 and 5*(-6)\/o - (-444)\/45?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 270. Let r = z - 21. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*q + 33. Let d(s) = s**3 + s**2 + s. Let y(h) = -9*h**3 - 8*h**2 - 8*h + 1. Let w(b) = q*d(b) + 3*y(b). Differentiate w(n) with respect to n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 1. Suppose 0 = 2*a - 4*o - 42, 4*a - 150 + 22 = -3*o. Suppose 7*r + 15 - a = 0. Solve -5*c = 3*k - 12, -k - c = r*c - b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-4)*-4*5*(-10)\/(-125)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38, -34, -18, 16, 74, 162, 286, 452?\n\"Answer: v**3 - 3*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) -1\/4 (c) -0.15 (d) -0.08 (e) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*k**2*m**2 + 4*k**2*x + 5*k*m*x - 2*m**2 + 420*x - 1 wrt m.\nAnswer: 30*k**2*m + 5*k*x - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/468, 2\/19, 4\/3, -1\/7, 2\/77 in descending order.\nAnswer: 4\/3, 2\/19, 2\/77, -1\/468, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 12 = -5*b. Calculate the smallest common multiple of 30 and b\/35 + 33\/7 + 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 - 12*f + 1. Suppose 0 = -5*o + 5*g + 10, -4*g - 4 = -2*o. Let q be (1 - o)\/(-1)*-3. Let z be v(q). Is 3\/19 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/1112 and -1\/4222.\nAnswer: 2347432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46.69 and 1428447800.\nAnswer: 1428447846.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*i - 4 + 10, 0 = 3*i. Suppose -a + r - 5 = 0, r + 11 = -o*a + 4*r. Put -5, a, -14, -1 in decreasing order.\nAnswer: -1, a, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, m: 3, t: 1, l: 1, r: 2, q: 6}. What is prob of sequence tvlv?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/81440?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 4. Let d be w(0). Let t be -1 + (-84)\/(d\/1). Factor 5*u**3 + 6 + 35*u - 3*u**4 - 70*u - 2*u**3 + t*u + 9*u**2.\nAnswer: -3*(u - 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446071757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-1) - (-8 - -5). Suppose 11 = -3*j - m*b - 16, -b - 36 = 4*j. Let s be (-3 + 11973\/j)*-33. What is s rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89089.\nAnswer: 7, 11, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1042 by -18.\nAnswer: 521\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose -3*c + 30 = 5*n - 5, 4*c = 4*n + 4. What is v in 9 - 3*v**2 - 7*v + 4*v - 3*v + n*v**x = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3589718, -3589719, -3589720, -3589721?\nAnswer: -3589722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - 60*g + 35. Let p(f) = f**2 + 21*f - 12. Let s(r) = -6*j(r) - 17*p(r). What is s(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from azazb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -324 at least -325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12276, 24299, 36070, 47589, 58856, 69871?\nAnswer: 80634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 6 = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 5*p - 4*n - 1, 5*p = n - 5. Which is the second smallest value? (a) -0.1 (b) -37 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2891*u**4 + 23129*u**3 + 534827*u**2 + 1318111*u - 456 = 0?\nAnswer: -8, -3, 1\/2891, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2 + 8705*g*w + 6143*w with respect to g.\nAnswer: 4*g + 8705*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 64. Let x be 8*(1 - 2\/(-8)). Find the second derivative of d**3 + 0*d**3 + x*d**3 + v*d - 25*d wrt d.\nAnswer: 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31620, 63088, 94400, 125556, 156556, 187400?\n\"Answer: -78*l**2 + 31702*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3477?\nAnswer: 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2115523?\nAnswer: 2115523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 45 = -99. Let i = 1345 + -2487. Calculate the remainder when i\/(-8) + ((-45)\/(-20) - 3) is divided by z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/107 smaller than -2133100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 7 - 4*x - 1)*(-1 + 4 - 1).\nAnswer: -2*x - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 0 - p**2 + 3 + 2*p + p**2. What is the units digit of a(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1803 take away -300.15?\nAnswer: -1502.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = 0, 5 = -5*f + s + 6. Sort -33, 0, 1, f.\nAnswer: -33, f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1526*d**3*t**3*y**2 + d**3*y**2 + 3*d**2*t**3*y - 5*d**2*t*y**2 - 10*d*t*y**2 - 2*t**3*y + 2*t**2*y**2 wrt d.\nAnswer: 9156*t**3*y**2 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1055 - 1057. Let q(g) = -2*g - 1. Let m = 5 + -8. Let k be q(m). Sort 0, u, k.\nAnswer: u, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -1306?\nAnswer: -1306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p + 5. Let f be 30\/(-9) - (-10)\/(-15). Let t be r(f). Let a(k) = -k**2 - 6*k + 7. What is a(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -2*l - 2\/5*l**5 + 4*l**2 + 2*l**4 - 4 - 4*l**3. Factor m(f).\nAnswer: -2*(f - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1377) + (sqrt(1377) - (sqrt(1377) - (sqrt(1377) + sqrt(1377) + 1 + sqrt(1377))))) - -1*(sqrt(1377) + 1))**2 + (4*(-5 + 1*sqrt(425)))**2.\nAnswer: -674*sqrt(17) + 74674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/95 - (-10 + (-4431)\/399).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -557*x**3 - x**2 + 2*x + 5. Let m be j(-2). Calculate the common denominator of m\/(-6100) + 3\/4 and 18\/85.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*-1 + -3 + 3. Let d be (1 - 2908\/i) + (-2)\/(-10). Suppose c = 2*s - c - d, s = 5*c + 158. List the prime factors of s.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5, 0, -272 in ascending order.\nAnswer: -272, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2744, -10980, -24706, -43922?\n\"Answer: -2745*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 127. What is the tens digit of (21 + 4)\/a + 567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l - 2 = 0. Let m be (l + -1)*8\/(-6). Suppose k = 0, -j + 0*k + 8 = k. What is the highest common factor of j and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 75. Suppose -45*k + q*k = -30. Let n = -0.9 - -0.6. Which is the third smallest value? (a) 1\/3 (b) -5 (c) n (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttffffnnfffntft. What is prob of sequence fn?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1311*b + 2569*b + 271600 for b.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.04606765 * 5.\nAnswer: 5.23033825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, -34, -111, -240, -433?\n\"Answer: -2*g**3 - 8*g**2 + g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302110864?\nAnswer: 2, 43, 79, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 6. Let r be o(4). Let b be -1 + r + 3 + 2. Suppose -b*h + 147900 = -72100. Round h to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4630 - 8810 = -40*x. Which is greater: -5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 9*i**2 + 7*i + 8. Let f(q) = q**3 + 5*q**2 + 2*q - 3. Let r be f(-2). Suppose -g = -5*m - 30, -11 = -5*m - r*g - 71. Is z(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -121, 141, 621, 1319, 2235?\nAnswer: 3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 2) + (0 - 4). What is the least common multiple of 8 and (0 + i)\/(3\/(-24))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0287 - -0.1997. What is r rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 4*x + w, 0 = 4*x - 0*x - w - 185. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**2\/5 - 7926*k\/5 - 7932\/5.\nAnswer: 6*(k - 1322)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 151\/(-604) + (-3)\/(-12). Solve 2*n - 2*b + 2 = o, 239*b - 237*b = -5*n + 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1699 = 3*k, 40*c - 41*c + 1 = 0. Which is smaller: k or -568?\nAnswer: -568","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4\/7 + 5064*h**3\/7 - 5058*h**2\/7 - 5064*h\/7 + 723 = 0. What is h?\nAnswer: -1, 1, 1687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37146 = -n - 4*v, n - 26549 = 2*v + 10549. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*u + 9, -78*u + 76*u - 10 = -2*f. Solve -f*g - 18*g + 208 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 161 + 2262*r - 4*r**2 - 2260*r.\nAnswer: -4*r**2 + 2*r + 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 35 = 9*s. Suppose 40*b = s*b + 15624000. What is b rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -171 + 75*j + 171 - 4*j + 3*j + 0*j + (3*j + 3*j - 4*j)*(1 + 2 - 5).\nAnswer: 70*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -483692*f**2 - 17468*f - 154. Let x(o) = 50038*o**2 + 1807*o + 16. Let t(s) = -8*a(s) - 77*x(s). Let h(c) = -55*c**2 - 2*c. Give 605*h(k) + 2*t(k).\nAnswer: -55*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8292 + 8292.2. What is the nearest to q in -21, 7, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38.486 - -38.48600176055. What is f rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*t + 3\/4*t**2 + 3\/4.\nAnswer: (t + 3)*(3*t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57 - 209 + 103 - 6*a**2 - 8*a wrt a.\nAnswer: -12*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i + 21. Let n be p(0). Let d = 207 + -197. Let g be (340\/(-50))\/((-4)\/d) - 3. Calculate the greatest common divisor of g and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236 + ((-5)\/1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 44*j - 631. Let q be p(18). Is q greater than or equal to 163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 132971649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)\/(o*o\/(o**(-1\/12)\/o)*o))**(4\/3)*(o**(-2\/7)\/(o**(-4)\/o))**30 assuming o is positive.\nAnswer: o**(8399\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 2316*f + 4640*f - 2324*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/8660 at most as big as -30.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 56775368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 12*u - 341. Calculate q(-17).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -6) + -72 + (18 - 20 - 12) + -12\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3787655?\nAnswer: 5, 43, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 82*l**2 - 387*l + 33. Determine t(77).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((2 - -24 - 11) + (-1 - -24)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s - 116 - 217 = 17 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -87 (base 14) to base 7\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -11) + -7 + -2 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10891022122 - 29.\nAnswer: -10891022151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8138 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 195.3 and -1.12.\nAnswer: 194.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 58\/87*9\/(-12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43720 or -43714?\nAnswer: -43720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 7*y + 1. Let n be f(-3). Let d(b) = 10*b**2 - 18*b + 13. Is 8 a factor of d(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 - 10 - 10 + x as h + l*x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1173285 + -1173254. Suppose -2*i - i + 5 = -5*v, -2 = -3*i + 2*v. What is the nearest to o in -0.4, -2, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 223.58 (b) -1\/3 (c) 0.3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 318\/5 - 6\/(-15). Let i be 6 + 176\/(-28) + 16\/7. Let k(l) = 64 - 3*l**2 + l**i - o. Let g(m) = -16*m**2. Calculate k(g(s)).\nAnswer: -512*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.83 - 2.13. Which is the fourth smallest value? (a) -1\/5 (b) -2 (c) m (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccng when four letters picked without replacement from aaacnrjrrrgc.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 3*f + 25*m + 131, 79 = -6*m + 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 405 and 4345.\nAnswer: 351945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19317 and 24957?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.09 (c) -2 (d) 111\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7223345477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q**2. Let i be n(1). Let z = -5 + i. Let a = 34 + z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.46? (a) -2 (b) 0 (c) 4\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 114, -1\/452, 0, -22, -1\/3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9073.869ug to tonnes.\nAnswer: 0.000000009073869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 + 5*c + 2. Suppose 3 = -b + 7. Let a(i) be the third derivative of i**5\/15 + i**4\/6 + i**3\/6 + i**2. Determine b*a(x) - 3*g(x).\nAnswer: x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7846, 7962, 8074, 8182, 8286, 8386?\n\"Answer: -2*l**2 + 122*l + 7726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 56*d + 37*d - 94*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6238*w**2 - 62384*w\/5 - 8\/5.\nAnswer: -2*(w + 2)*(15595*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253453051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 11, -2, -5, -3\/5, 122 in descending order.\nAnswer: 122, 11, -3\/5, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390452834.\nAnswer: 2, 195226417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -6\/17 (b) 4 (c) 0.4 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3377, 6270, 9163, 12056, 14949?\n\"Answer: 2893*a + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 4\/137, -2868 in decreasing order.\nAnswer: 4\/137, -111, -2868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1851269?\nAnswer: 7, 37781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = 27. Suppose -7*y + s = -4*y. What is the lowest common multiple of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -503.11?\nAnswer: -503.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 10300*r**2 - 153445*r - 143150.\nAnswer: -5*(r + 1)*(r + 14)*(r + 2045)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y. Let r(k) = 8246*k. What is g(r(n))?\nAnswer: -32984*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-286)\/(-4) + (-30)\/(-20) + -2. Let h = g - -388. Calculate the greatest common divisor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 10 + 2, 499*s = 2*g + 290*s - 480*s + 1380 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -770, -1000, -1230?\n\"Answer: -230*g - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {c: 1, m: 3, k: 5, j: 5, y: 4}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.091429252 to 3 dps.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1683 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -24, -29?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94469 by 1.\nAnswer: -94469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 238, 0, 6?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20754109 - 1?\nAnswer: 20754108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*p + 2*z, -5*p + 16 = -5*z - 9. Let d(g) = -2*g - 5. Let t(v) = -v - 3. Let q(r) = -4*d(r) + 7*t(r). Calculate q(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*g - 71 - 743, 0 = -4*g - 8. Calculate the greatest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-10))\/((2\/2)\/(-5)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33260 - 1?\nAnswer: 33256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(25\/(-181)) + (-385)\/55. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 48.7224\nAnswer: 243.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -230 + 802*v**3 - 238 + 470 + v**2 as p*v**3 + r*v**2 + n*v + u and give p.\nAnswer: 802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) 1\/2 (c) -6 (d) 4 (e) 2 (f) 4\/14913\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*b = 27, -3*p - 29 = -25*b + 29*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.1 - -18. Which is the nearest to s? (a) 3\/8 (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164228*i**3 - 286235 wrt i.\nAnswer: -492684*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-26)\/(-7) - 1) + (-6)\/(-21). What is the third biggest value in 1\/4, -4, 1, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 18. Let y = 8.4 + j. Let s = 3865\/9 - 429. Which is the second biggest value? (a) y (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110429723 is divided by 36809904?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*((-11*k - 2 + 2)*(-6 + 1 - 13) + 0*k + 0*k + 7*k)*(2 - 2*k - 2).\nAnswer: -820*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 8. Let o(c) = -5*c - 41. Let u(q) = 11*h(q) + 2*o(q). Let g be u(-6). Calculate the remainder when 94*(-1)\/(-1 + g) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3062 is divided by 1007.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**9*((z*z\/(z**(1\/15)*z))\/z)\/z)**(-4\/9))**(-6\/29) assuming z is positive.\nAnswer: z**(1072\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 divided by -2?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.9621 + 0.0379. Which is the nearest to -2\/5? (a) -5 (b) i (c) 3 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -73 - (22 - (-24 + 16) - 4 - 21).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + (-140)\/6. Let l be (-15)\/(-35)*(4 + -11) - -35. Let b = z + l. Solve 4*v = v - b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - -0.692567341708\nAnswer: 0.652567341708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*d = -69*d - 36. Calculate the remainder when (-4)\/((d\/(-250))\/((-2)\/(-10))) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -4*f - 45. Let a be 150\/4 + 4\/(24\/f). Suppose -3*m - 3*z - a + 132 = 0, -3*z - 47 = -m. Round m to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (937\/(-5))\/((-8)\/100). Let s = g + -2299. Calculate the common denominator of -41\/5 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 5 + 1 + 0. Let a(m) = m. Let r be a(l). Suppose 5*g + 4*w = 46, 0*g + 3*w = -g + 7. Solve 3*t - 2*t + 14 = 3*x, 3*x - g = r*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 24. Let u(x) = -x**2. Let k(c) = 77*c**2. Let a(w) = p*k(w) - 66*u(w). Suppose -9*o + 6 = 15. Calculate a(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*r, -5*y + 5*r = -0*r - 55. Let n(z) = 2*z**2 + 3*z + 0*z - 1 - y*z. Is 9 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(1\/1 + -1). Suppose v = 2 - b. Factor 10\/9*l**v + 0 - 2\/9*l - 14\/9*l**3 + 2\/3*l**4.\nAnswer: 2*l*(l - 1)**2*(3*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 19*l - 14. Suppose 2*g = -4*k - 10, -4*g + 1 = l*k - k. Suppose 2*c = -3*u + 2*u + 5, -2*c = -5*u + g. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 7, 684, 1, 20, 1\/2.\nAnswer: -0.2, 1\/2, 1, 7, 20, 684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*t + 3*u, u - 2 = -3*t. Let k be t*(13 + 0)\/(-1). Suppose 4 = 4*d, d - k = -i - 4*d. Solve -l + 5*l = i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -2)\/(-1 + 0). Let c(i) = -i + 2. Let f(d) = -d**2 - 2*d + 8. Let t = 184 + -185. Let k(j) = t*c(j) + f(j). Determine k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61765*f + 61941*f + 4576 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + 4 - (393 + -377).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22201211212 - 40?\nAnswer: 22201211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14\/4*306\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4988 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101650 = 1182*c + 976*c + 517*c for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/763, -1, -3\/2, -0.01.\nAnswer: -3\/2, -1, -0.01, 2\/763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 5 (c) -3\/5 (d) -4903\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1970 + -47?\nAnswer: -2017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*2 - sqrt(297))\/sqrt(11))\/(sqrt(9) - sqrt(36)\/sqrt(4)*-3).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = 2*j, 2*j + 2*i - 2 + 4 = 0. Let m(d) = 2*d**j + 0*d**2 - 3*d**2. Let s(c) = c. What is s(m(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 2*t**3 + 4*t**2 + 0*t + 20119\/30*t**5 + 0 - 3\/4*t**4. Let s be i(13). What is s rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18328977 and -0.1?\nAnswer: 1832897.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46907571 and 603?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, w: 2}. What is prob of sequence gww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 5*k + k + 0*k - 1. Let a be i(-1). Let m = -3 + a. Solve 3*f + j = -3, 0 = m*f - j - 3*j + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -921*n**3 - 11*n**2 - 5*n - 779. Let a(p) = -307*p**3 - 4*p**2 - 2*p - 259. Let v(x) = 11*a(x) - 4*h(x). Find the first derivative of v(y) wrt y.\nAnswer: 921*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7978187, 7978183, 7978177, 7978169, 7978159, 7978147?\n\"Answer: -w**2 - w + 7978189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14)\/(-6*8\/168).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 35?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11107 by 383.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -483605*g**4 + 5310325*g**3 + 102585*g**2 + 495*g.\nAnswer: -5*g*(g - 11)*(311*g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Let i(g) be the third derivative of -g**4\/8 + 9*g**2. Determine f(i(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -78*o**2 - 12474*o + 988. Calculate l(-160).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0292063 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 less than -35?\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1759932*x**4 + 383*x + 2622 wrt x?\nAnswer: -21119184*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 33546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 19. Let f = k + 15.8. Which is the second biggest value? (a) -2 (b) f (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(144)*-1 - sqrt(144) - sqrt(144)))\/sqrt(12))\/(-2*(-3*sqrt(20))\/sqrt(5)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*82\/123*78\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -69\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, p: 4, j: 1, f: 2}. Give prob of sequence fa.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376.7034l to millilitres.\nAnswer: 376703.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -1023?\nAnswer: 1022.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -66b9?\nAnswer: 66ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144\/1729 - 2\/91. Put -7\/2, 0.1, q in decreasing order.\nAnswer: 0.1, q, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -483 - -3935\/8. Let o = -102\/55 - -5193\/220. Calculate the common denominator of a and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -15. Let r(o) = 8*o**3 + o**2 - o - 1. Let u be r(-1). Let d = g - u. What is the lowest common multiple of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77)*-1)\/(sqrt(252)*4))**2.\nAnswer: 11\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Let p(c) = -2*c + 12. Let b(s) = -15*s + 60. Let w(u) = -2*b(u) + 10*p(u). Calculate 45*v(j) + 4*w(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/12 - 7*m**3\/6 + 4*m**2 + 2*m. What are the prime factors of l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1694801 + 1694801 + 1493*n.\nAnswer: 1493*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m - 16 = -54*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022247.\nAnswer: 3, 37861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, 144 in descending order.\nAnswer: 144, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206 - -463. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 53*p - p**2 + 5*p**3 - 41*p to m*p**3 + b*p + n + f*p**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118929 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 1 - 1 + (0 + 0 - 2*j)*(-2*j**2 - 2*j**3 + 2*j**2) + 2*j**4 - 2*j + 2*j.\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1727 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95289 and 6279.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = -32*i - 220 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 + 2*k + 1. Let v(a) = a**2 - 12*a + 29. Let z be v(4). Give y(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 5:52 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8.751+147619\nAnswer: 147627.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 4*p - 61 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-14927)\/(-935))\/(4\/(-20)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -392*c**3 - 3 - 68*c - 412*c**3 + 805*c**3 - c**2 + c**2 - c**3 + (c**2 + 2*c**2 - c**2)*(c + c - 4*c).\nAnswer: -4*c**3 - 68*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) -72 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 33. Let l(k) be the second derivative of u - 1\/2*k**2 + 1\/10*k**5 - 3*k + 0*k**4 + 0*k**3. Find the first derivative of l(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 13. Suppose -k - 53 = -5*g + 17, -g = -t*k - 14. Solve -3*s + g = s - 3*h, 0 = -5*s - 5*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1000012?\nAnswer: -1000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -970*x + 972*x. Which is the second smallest value? (a) -0.3 (b) 2\/15 (c) 43 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1315280 and 96240.\nAnswer: 3945840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -6*r + 3372. What is the remainder when r is divided by 82?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53420 = -699*k - 100952 for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 652*m**3 + 1316*m**2 + 660*m.\nAnswer: -4*m*(m - 165)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -7*y + 22. Let q(s) = -3*s**2 + s - 2. Let i(a) = 4*a**2 - a + 2. Calculate y*i(c) - 6*q(c).\nAnswer: 2*c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(80) - sqrt(5))**2 + 3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 6*p**2 - 7*p - 5. Let i be o(-6). Suppose -5*l = -2 + i. What is the units digit of (4\/l)\/(4\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and -2.39?\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24852 and 5072.\nAnswer: 31512336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Suppose 3*j - 11 = 4*w, -j + w - 21 = -5*j. What is the second derivative of 5*x**4 - 2*x**p - j*x**4 + 5*x - 3*x wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - 2.93. Let c = -2.5 - y. What is the smallest value in -0.1, c, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -5*sqrt(88)\/sqrt(8))*-6)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/603 and -11\/6566.\nAnswer: 59094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -1\/356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 433, 878, 1333, 1804, 2297, 2818?\n\"Answer: q**3 - q**2 + 441*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -33429267.\nAnswer: 1\/33429267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 5\/4, 0.06, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/7)\/(19\/(-133))*(-183)\/854\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/11 (b) 1\/5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-136 + 131 - (20 - -1))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.22 (c) -47822 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 + 131.9662. What is d rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2115 - -3366. Suppose -4*v - 2*m + 1310 = 0, m - 64 - o = -4*v. What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/19, 1\/52, -0.2, 0, -3\/43, -0.3, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 6. Suppose 5*i + 18 = -3*o, -4 = 3*i + 5. Let p be ((-1)\/(-2)*o)\/((-17)\/272). Suppose -2*v - 2*z - 2*z = p, 3*z + 6 = v. What is l(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -33 (b) 572\/5 (c) -2 (d) 1\/8 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*i**3*s**2 - 149*i**3*s - 67*i**3 + 40*i**2*s - i**2 + i + 125380*s**2 wrt s?\nAnswer: 18*i**3 + 250760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -182, -253, -306, -335?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/221?\nAnswer: -3\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 4:11 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 61*m**2 + 12*m - 3. Let o be l(11). Suppose -2*w + 4*w = o. Suppose 3*b = w - 410. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 559*s**4 - 5690*s**2?\nAnswer: 13416*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5368, 5359, 5346, 5335, 5332, 5343, 5374?\nAnswer: 5431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 5 - 8 + 12. Give l(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((4 + sqrt(637) - sqrt(637)) + sqrt(637) + 2 - sqrt(637)) + (sqrt(637) + sqrt(637) + 5)*-1)**2*1)*-5 + -5.\nAnswer: -12750 + 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3579, -7161, -10743, -14325, -17907, -21489?\n\"Answer: -3582*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3434 - 3444) + 101\/11?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 3045406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 15886.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 472*l - 580*l + 2700 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 355.506 + 0.494. Let i = 415 - a. Is 2\/7 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 9522 = 72698. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292639063?\nAnswer: 139, 2105317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1296 and 1388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7779 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8)\/(-3) - ((-187915)\/(-6630))\/49?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i - 2*i)*(1 + 2 - 1)*(i - 4 + 4)*((-1 - 1 + 1)*(i - 4*i + i) + 3*i - i + 0*i - 1 + 1 + 3*i + i - 3*i + 4*i - 2*i + 5*i - 2*i + 5*i + 1550 - 1550).\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(1\/(9\/(-2))). Suppose -u = -q + 6. Let s(f) = -1 + 3*f + f + 14 - u*f - f**3. Give s(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59423 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: Calculate the lowest common multiple of 488 and 4392.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6227361 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + c + 0)*(8*c**2 - 9*c**2 - 17*c**2) + (c**2 - 3*c**2 + 4*c**2)*(1 - 1 + c).\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j - 7. Let x(b) = b**2 + 8*b + 15. Let m(u) = -5*g(u) - 2*x(u). Let n = 13 + -9. Give m(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20125649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*-1*(-180)\/(-10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20\/154359 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*b - 33, -4*m + 44 = -2*b + b. Calculate the remainder when 19 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -132*w - 940 + 940 + (w - 2 + 2)*(3 + 1 - 2) + 3*w - 5*w + 4*w in the form z*w + t and give z.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -127, -302, -455, -574, -647, -662, -607?\n\"Answer: 2*k**3 - k**2 - 186*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 3*u**5\/10 + 19*u**4\/12 + 5*u**3\/2 + u**2 + u - 24. Factor i(j).\nAnswer: (j + 1)*(j + 2)*(6*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17255 - 9844. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/5 - 456*c\/5 - 17328\/5 = 0. Calculate c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001138258 rounded to 5 dps?\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -167*o**7\/7 + 148*o**3\/3 - 62. Find the third derivative of c(x) wrt x.\nAnswer: -20040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11382 + -0.1203785.\nAnswer: 11381.8796215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8861989 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 170411141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 3*c**2 + 7*c - 1. Let d be i(-5). Is -2\/3 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**7\/2940 + c**6\/630 + c**5\/420 + c**3\/2 - 4*c. Let m(u) be the second derivative of j(u). Let m(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpbttbtbpptututbpv. What is prob of sequence bb?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + m - 2. Let h be (-22)\/(-2 + 0) - 0. Suppose f - 3*k + h = 2*k, 0 = -f + k + 1. Suppose -f*c - 20 = 4*r, 4*r - 10 = 2*r + 2*c. Determine i(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 4e4a10?\nAnswer: 4e4a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -1\/6*w**3 - 94*w + 0*w**2 + 0. Let i(g) = 95*g**2. What is h(i(l))?\nAnswer: -95*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 69*m**3 - m**2 - m + 1. Let j be g(1). Let b be (-1)\/((3\/9)\/(17\/(-3))). What is the highest common divisor of b and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 12:43 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(0 - 12\/(-9)). Suppose -3*y + 5*y + 6 = 2*u, -u - 2*y + 9 = 0. Let s = 1.7 + -6.7. Which is the third biggest value? (a) x (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.330327l?\nAnswer: 330.327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Let g be (12\/(-14))\/(-3)*-1. Let a = -142355\/9 + 15817. What is the closest to h in g, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -568ac2 - -1b?\nAnswer: -568aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 127 - 43 = 0. Let h(l) = -21*l - 2*l**2 + u*l. Let g(t) = -2*t**2. Calculate g(h(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1161*y**3 + 3*y**2 - 106 wrt y.\nAnswer: 6966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -3 - (-45 - (73 + -134)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005 = 56*c + 726 - 275 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16, 1, -3, 11, -7, 1\/250, 2\/13?\nAnswer: 1\/250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1856 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 9 = -4*v - l, -5*l = -v + 15. Suppose q - 38 + 34 = v. Suppose -q*z + 878 = 138. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175537805*o**3 + 128391048*o wrt o?\nAnswer: -1053226830*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 884126.9066 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + 2*g - 6*g + (0 - 1 + 0)*(-g + 5 - 5) + g + 5 - 5)*(-2 + 6 - 2 + (-1 - 2 + 0)*(-1 + 4 - 1)) to o*g + u and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23491577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/328, 6, -0.99, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 12*k - 74. Let o be j(-17). Solve 0 = -3*s - 0*s + 5*a - o, 10 = -4*s + 2*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (913248\/648)\/151*(-6)\/(-52)*1.\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from mzcwzzmczczzawc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(4235)*2)\/sqrt(7).\nAnswer: 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-12)*r)\/r**(7\/5))\/((r**(-2\/5)\/r)\/r)**(3\/8) assuming r is positive.\nAnswer: r**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10\/37 (b) -0.5 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11278 and 4?\nAnswer: 22556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74 + 6*h + 74)*(2 - 4 + 5) to the form o + u*h and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w + 62. Let p be s(10). Let b(h) = 9*h**3 - 5*h**2 + 14*h - 22. Calculate the remainder when b(p) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w**(6\/13)*w*w)*w)*w**14*w**10*w**7\/w assuming w is positive.\nAnswer: w**(409\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**2*v)**(-16)\/(v*(v\/v**(-1\/12))\/v*v**(-9)) assuming v is positive.\nAnswer: v**(95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4409, -2, 29, -4, -1 in ascending order.\nAnswer: -4409, -5, -4, -2, -1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1122662670 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (273 + -332)*(-3 + 0) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 2*w**2 + 4*w - 1. Let r be d(3). Find the common denominator of 25\/(-2)*2\/r and 13\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14892 and 4161.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2\/5, 1, -2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 5*f**4\/4 + 10*f**3\/3 - 365*f**2\/2 + 350*f - 547. Factor s(o).\nAnswer: 5*(o - 7)*(o - 1)*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6174, -61, 4, 0.7, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 156747, 156767, 156809, 156879, 156983, 157127, 157317, 157559?\n\"Answer: a**3 + 5*a**2 - 2*a + 156743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from onoon.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 930.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*m + 12, -3*m - 10*v + 32 = -5*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**3 + 4*j**3 + 0*j**3)*(3 + 4 + 2)*(-j + 0 + 0) to the form l*j**2 + s*j**4 + f + k*j + z*j**3 and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16633309 from -308.\nAnswer: 16633001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.91 + -4.64. Let c = w + -6.8. What is c rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -601867 + -1167?\nAnswer: -602a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/(f*f*f*(f**(1\/9)\/f*f*f)\/f*f)*(f**(-1\/5))**(-11))**(-29) assuming f is positive.\nAnswer: f**(7714\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 3*n - 39, -32*t + 12 = -5*n - 71*t + 35*t - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1)*(19\/(-3) + 5). Let u = -0.342 + -0.058. What is the third biggest value in m, 0.1, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*h + 46*h + 972. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19678, -78935, -177686, -315925, -493646, -710843, -967510?\n\"Answer: p**3 - 19753*p**2 - 5*p + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/5 of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55, -56, -57, -58, -59?\n\"Answer: -l - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/(33\/18))\/(56\/(-7) - -6). Calculate the greatest common factor of u and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -9 - (-9 - (0 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45 - 6?\nAnswer: 3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 181317 and 43.7526.\nAnswer: 181360.7526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1191 + 16236?\nAnswer: 17427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 0 (c) 49 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23003041 (base 5) to base 9\nAnswer: -340154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**3 + 1536*j**2 + 36849*j + 35310 = 0.\nAnswer: -22, -1, 535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27256 (base 8) to base 11.\nAnswer: -8a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-572)\/104*12\/3)\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 12*t - 9*t + 14, 0 = -4*k - 4*t + 8. What is the greatest common factor of k and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 0*j + j**2 + 4 + 4*j**2 - 3*j. Does 15 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 210*u + 6720. Let g be j(-32). Solve 22 = -586*k + 588*k + 3*d, -4*k + 5*d = g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1462169 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1\/4)*p)*p*p)**(2\/19)*(p*p**(-1\/3)*p)**(1\/35) assuming p is positive.\nAnswer: p**(227\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 31. Suppose -j - d = -4*i - 0*j, 4*i = -2*j + 24. Suppose 2*a - 7*f - 18 = -3*f, 2*a - i*f - 18 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*a + 12, 2*j + 7 = 2*a + 3. Solve 5 = -5*s - b, -4*s - 5*b = j + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1844699 - 10?\nAnswer: -1844709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51095 - -51089. Let p = 24\/7 + -137\/42. Which is the third smallest value? (a) -1\/2 (b) p (c) 2\/7 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 29*x - 154. Give m(-24).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gigagiig. Give prob of picking 3 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b + 0 + 26*b + 0 - 11*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*10557\/(3 - -6). Suppose -3*y + f = 289. Suppose -6*g + 3*g = -48. What is the least common multiple of y and g?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u - 3. Let p be -3 + 0 + (7 - 0). Let y = p + -6. Let x(s) = -5*s - 4. Determine y*x(z) + 3*b(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/11 + 1522390*b**2\/11 + 6089584*b\/11 + 6089592\/11.\nAnswer: -2*(b - 761199)*(b + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -570218 or -570219?\nAnswer: -570219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36550?\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42571386 by -8046.\nAnswer: 5291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 4*v - 31. What is the units digit of g(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -301, -614, -1045, -1600, -2285?\nAnswer: -3106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-5) + (-6)\/(72\/(-58)). Which is the second smallest value? (a) 0 (b) -5 (c) f (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**4 - 5*o + 5*o)*(-1 - 1 + 4) + (-6 - 3*o + 6)*(-19*o**3 - 25*o**3 + 5*o**3) to u*o + w + s*o**4 + l*o**2 + q*o**3 and give s.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 863451, 863462, 863487, 863532, 863603, 863706, 863847?\n\"Answer: a**3 + a**2 + a + 863448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, y: 4, r: 1}. Give prob of picking 1 a and 2 y.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/23 - 76*h**3\/23 + 522*h**2\/23 = 0.\nAnswer: 0, 9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 6*k + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/7)\/i**(-12) assuming i is positive.\nAnswer: i**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -20*k**3 - 2*k**2 - 11*k - 15. What is x(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**5 - 38*k**4 - 422*k**3 - 298*k**2 + 756*k = 0.\nAnswer: -7, -2, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -19. Suppose 2*q + 3 = r. Suppose -4*o + 22 = -3*o - q*a, -4*o - a + 49 = 0. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12902637\/4 or 3225660?\nAnswer: 3225660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 133523 = 77490. List the prime factors of t.\nAnswer: 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206565 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9894775246 to 2 dps.\nAnswer: 2.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(204) + (sqrt(204) - (sqrt(204) - (sqrt(204)*-2*2 - sqrt(204))))))\/(sqrt(48)\/(sqrt(4) - sqrt(16)*6)).\nAnswer: -44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -18 + 74 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**3\/3 + 12*m**2 - m + 33. Let n be 1*-2 + 9\/(-1). Let l be v(n). Solve -1 = o - l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 585756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, -3\/7, -0.5, -5, 0.5.\nAnswer: -5, -0.5, -3\/7, 0.5, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h + 1. Let f(o) = 21*o - 3. Suppose -8*q - 190*q = 149*q - 1735. Calculate q*f(m) + 18*b(m).\nAnswer: -3*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 2*m - 6. Calculate s(6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -12*t + 5445. Is (2 - t)\/((-4)\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 + 0.05. Let g = -0.6 - 0.6. Let y = 1.3 + g. What is the second smallest value in -1\/6, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2038*k**3*t*x - 5*k**3*x - 50*k**2*x + 4*k*t*x - 10*k*x + 598*k - 2*t - 11 wrt k?\nAnswer: 12228*k*t*x - 30*k*x - 100*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 - 5*s + 7. Let d be c(4). Suppose -o + 1 = -d. Does 34 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -169226.8.\nAnswer: -15230.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77593?\nAnswer: 31, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1775\/(-213)*11\/((-495)\/234)*3\/2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**2 + o + 31. What is k(-6)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72243 and 10971.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*i**3 - 5 - i - 2*i**3 + i - i - 20*i**3 - 2*i**3 + 5*i**3 + (4 + 0 - 5)*(-i**3 + 3*i**3 - i**3).\nAnswer: -22*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 132, -0.556, -3?\nAnswer: -0.556","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in -0.5, -5\/7, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3172 + 6600. Let t = 5085 - j. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 5*t = -2*n + 42, -7*n - 106 = -13*n - 5*t for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 7*s**2 - 7*s + 6. Let o = -32 + 45. Let v = o - 19. Let j(k) = -2*k**3 - 8*k**2 - 8*k + 7. Calculate v*j(a) + 7*r(a).\nAnswer: -2*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/70 + 11\/5. What is the second derivative of p + 2*p - 4*p**2 - 8*p**4 + 4*p**d wrt p?\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*t - 2*c + 27 = -173*t, 0 = -5*t - 2*c + 19 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/1264428 and 59\/660.\nAnswer: 6322140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40041151 (base 6) to base 12\nAnswer: 4631b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 7*i + i. Let v be 0 + -1 - (i + -3). Let h(r) = 16*r**v - 1732 + 1732. Let n(m) = 2*m**2. Give h(n(w)).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31811 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 38 = 3*m, 16 = -2*h + 8. Suppose -2*q - q + 96 = 0. Suppose -m - q = -t. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -z - 3. Suppose z*g - 15 = -3*g. Which is the third biggest value? (a) 0.1 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3\/5 (b) 2.233 (c) -8 (d) 1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14580 and 8235.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.74899 - -0.00401. Let i = o + 0.752. Let d = -0.205 + i. Round d to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 - -0.6. Let g = -2 - w. What is the closest to 1\/3 in 5, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3218, -1, -2 in descending order.\nAnswer: 3218, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352721?\nAnswer: 3, 211, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(-14))\/((-25130)\/430800)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of -6 + 8 - 3*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5 + sqrt(76) + 0 + sqrt(76) - ((sqrt(76)*1)**2 + -1)) + ((sqrt(76) + (sqrt(76)*4 - sqrt(76)) + 5)*4)**2) + 5.\nAnswer: -98875 - 6420*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1677, -3350, -5031, -6714, -8393?\nAnswer: -10062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5757536860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 22118576019060\nAnswer: 22118576019065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 16 + 3)*(-7 + 5*o + 1 + 0*o).\nAnswer: -60*o + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25045, 25061, 25089, 25129, 25181, 25245, 25321?\nAnswer: 25409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 10322*h\/3 - 1776588.\nAnswer: 2*(h - 473)*(h + 5634)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42649, -42642, -42631, -42616, -42597, -42574, -42547?\n\"Answer: 2*n**2 + n - 42652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/40)\/(132\/(-30))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224436?\nAnswer: 2, 3, 59, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 136548330\/11389875 + (-6 + -2)\/(6\/9)?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/9)\/(9\/108*8)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + ((38 + 19)\/3 - 12\/1). Let f(d) = -2*d**3 - d**2 - d - 2. Let z be f(-2). Sort n, -5, z in ascending order.\nAnswer: -5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z**3 - 83*z**2 - 20*z + 2. Calculate b(-7).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*c = 14976 + 6816, 5*u - 4*c - 36276 = 0. Is 30 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*g + 2 = 0, -3*g = g + 4. Suppose 6*p - 71 = -5*d + 2*p, -2*p - k = 0. Solve 5*s - 7 + 4 = j, 5*j + d = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 14*q - 29*q. Suppose -4*g - 16 = -5*g. What is the remainder when (q - (-21)\/9)\/((-2)\/(-69)) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*k**2 - 237*k**2 + 53*k**2 + 55*k**2 + 70*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Let h(j) = -15 - 18 + 5 - 9*j - l. Let b(m) = 3*m + 11. Let g(i) = -17*b(i) - 6*h(i). What is the derivative of g(c) wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0 = 2*z + 2, -2*o + z = -6. Suppose 0 = 2*k + 3*s - 7212, -2*s - 1633 = o*k - 8841. What is k rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5\/3 - 16*y**4\/3 + 4*y**3 + 16*y**2\/3 - 16*y\/3 = 0. What is y?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70394, 70385, 70378, 70373, 70370?\nAnswer: 70369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.3803 grams in tonnes?\nAnswer: 0.0009573803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/18660 and 133\/3732.\nAnswer: 18660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 23 + ((-243)\/(-45) - 5) + (-6)\/(-10).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 7, z: 3, e: 4}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 856344521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2185, 4404, 6625, 8848, 11073, 13300, 15529?\n\"Answer: j**2 + 2216*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 39216?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 4, v: 7, d: 6}. What is prob of sequence vw?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 2:24 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngnhphhphhphhhhnnhh. Give prob of picking 1 p, 1 g, and 2 n.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 3, -87, 375 in increasing order.\nAnswer: -87, -2, 3, 5, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 21 = 4. List the prime factors of (46 - (-8 - c)) + 1*-2.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/10 and -5\/2243712.\nAnswer: 11218560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -260 at least as big as -57770\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 - 17*c**3 + 161*c**2 - 614326*c wrt c?\nAnswer: -20*c**3 - 102*c + 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 2, w: 4, p: 3}. Give prob of sequence qjp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*w - 67. Let n = w + 1. Calculate the remainder when 32 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**3 - u**3 - 3*u**3 + (0 + 0 + 1)*(-2*u**3 + 6*u**3 + 4*u**3) - u + u**3 - 6 - 3*u**3 + 5.\nAnswer: 8*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaau when four letters picked without replacement from auuaaauuuaua.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kskk when four letters picked without replacement from ksskskkssksks?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Suppose x*w - 84 = -w. Let d = -12 + w. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -15482?\nAnswer: 1548.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300253, -300257, -300263, -300271, -300281, -300293?\nAnswer: -300307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 2*h**2 - 77*h + 18. Let o be d(-10). Let y(a) = a**3 + 14*a**2 + 18*a - 74. Calculate y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/(2\/10). Let t(w) = -16*w**2 - 706*w - 85. Let u be t(-44). Solve -m*o + 7 + u = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 510840 divided by -66\nAnswer: -7740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 3:13 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67332.\nAnswer: 2, 3, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*g**3*x**3 + 3*g**3*x**2 - 2*g**3 - g**2*x + 2*g*x**3 - 3*g*x wrt x.\nAnswer: -264*g**3*x + 6*g**3 + 12*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6635 and -59.\nAnswer: 6576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:10 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzwwghrhhwrcrgh. What is prob of picking 1 r and 1 g?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.9 - 0.9. Suppose -4*g + 5*o + 32 = 0, -13 = g - 4*g + o. Sort g, f, -5 in descending order.\nAnswer: f, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 12*q**2 - 13*q + 7. Determine x(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**7\/2520 + d**5\/30 - d**4\/3 + d. Let p(k) be the third derivative of c(k). Find the first derivative of p(f) wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 9*b - 8. Let p be y(10). Is p\/(3 - (-145)\/(-49)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 21202121100200?\nAnswer: 21202121101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(11)*-2 + (sqrt(147) - (sqrt(147) + -1)) + 4 + (sqrt(24)\/(sqrt(128) + sqrt(8)) - (sqrt(12) + -1)))**2.\nAnswer: -228*sqrt(3)\/5 + 1983\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 217 divided by 470\nAnswer: 217\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 269 + -246. Let z(s) = -s**3 + 3. Let d be z(0). What is the third smallest value in d, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15182575 is divided by 83.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2. Let s(c) = 170*c - 41. Let y(q) = -424*q + 107. Let l(n) = -13*s(n) - 5*y(n). What is m(l(t))?\nAnswer: 8100*t**2 + 360*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*y + 19 = 0, s + 4*y - 13 = 4*s. Let j be (-4)\/(s - -2) + 3. Suppose j = 2*p - 41. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7778868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 50 = -10*c + 9*c, 0 = -c + 2. Let t = 28 - -22. Which is greater: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**2 + 6*y**2 + 2*y**2 + (2*y**2 + 5*y**2 - y**2)*(116 - 247 + 81).\nAnswer: -299*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/16 and 29\/1268.\nAnswer: 5072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, and 2 y when four letters picked without replacement from yannavayaaay.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.6 + 13. Let y = m - 8.4. Let a = 10 + y. Is a greater than or equal to 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((6 - 3) + -3)\/3. Suppose a = -10*t + 15*t. Solve -3*g + 1 + 8 = t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kggg when four letters picked without replacement from ggggkggkggkgkkggkgk?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29389 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeegaaea. What is prob of picking 3 a?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*k + 5*k. Suppose -5*u = 2*d - 24, -k*d + 8*d = 2*u + 89. Calculate the highest common divisor of 187 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let p(k) = 11*k**3 - k**2. Let f be p(-1). Let n = f + 6. Let l(j) be the first derivative of j**3\/3 - 5*j**2\/2 - 1. Determine n*d(x) + l(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 4:44 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**4\/6 + 2*u**3\/3 - 2*u**2. Suppose -v - 8 = -3*v. Calculate the least common multiple of v and k(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88120509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 300 = -874. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 37 + 13 = 0. Let i(l) = -4*l - q*l + 0*l + 2*l + 1. Suppose 4*k + 3*o + 7 = 0, k = 5*o - 4*o. Give i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222685201213398 - 222685213505563.80000015. Let p = -12292159.8 - h. Let o = -6 + p. What is o rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let x = -198 - -994\/5. Let l be 36*(1890\/160 + -12) + 7*1. What is the nearest to t in 0.4, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21\/2 + 11. Let l = 37 + -39. What is the second smallest value in l, 3, d, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*r + 2 = 0. Let i be 12*r + -6*(-6)\/(-9). Solve 0 = 4*m - i, 4 = 3*f + m - 2*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 6*d**2 - 3*d - 3. Let m be w(-5). Is 6\/(m\/(-20) + -4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/7 (b) -9\/8 (c) -4\/7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 10*u**2 - 1. Determine k(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 64 = 8. Let z be f\/(-2)*-1 + 4. Is z equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/54 + (-6)\/4 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1643513730 to the nearest integer?\nAnswer: 40540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1114*w + 368*w + 372*w + 384*w. Let q(h) = -7*h - 6. What is p(q(v))?\nAnswer: -70*v - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-170)\/(-15))*12\/(-9).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29231?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-152)*(-6)\/37. Let z = -5\/37 + q. Let h = -2 + 2.5. What is the nearest to -1\/2 in h, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11586, 11603, 11620, 11637, 11654?\nAnswer: 11671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 9*q + 103. Let i be b(7). What is the biggest value in 3, i, 2\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -742672 (base 11) to base 9.\nAnswer: -2212472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -386189259*l**3 + 8044013 wrt l?\nAnswer: -1158567777*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18657 + -8407. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282645 is divided by 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 13*c + 3. Let w be y(13). Suppose -w*s + 26 = 5. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*i**4 - 5*i**3*v**3 - 903*v**3 wrt i?\nAnswer: 116*i**3 - 15*i**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**3\/13 + 1436570*f**2\/13 + 257967388896*f\/13 + 257965952328\/13 = 0.\nAnswer: -359142, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (135\/(-225))\/(2\/(-15560)) - -4 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2145417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 5. Let o = -9 + 6. Let f be 0\/((12 + o)\/(-3)). Which is greater: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + h - 5 = 3*l, 0 = -2*l - 3*h + 7. Let o = 17.865 - 18.065. Let x = 41\/3 - 125\/9. Which is the closest to l? (a) o (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -302*((-4 - -2) + 19). Let a = i - -92461\/18. Find the common denominator of a and -83\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*y + 581. Let p = y + -231. Suppose -b + 8*b = p. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1269, -4, 4 in decreasing order.\nAnswer: 4, 2, -4, -5, -1269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 8*y - 2. List the prime factors of f(-11).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1740148 - -1120148. What is v rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1000 and -47\/408500.\nAnswer: 817000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 8. Let n(f) = 5*f + 9. Let y(b) = 5*n(b) + 6*w(b). Calculate y(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0407 - -109.0407. What is the second smallest value in i, -1\/3, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 147753, 7 in increasing order.\nAnswer: 4, 7, 147753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/50334256 and 79\/14616.\nAnswer: 453008304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 6*x - 10. Let f be (-2)\/(-6)*6*-2. Does 15 divide r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11212413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/127 and 7021\/1530 - (-2)\/18.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 1. Let f be h(-4). Let q = f - -16. Suppose q*v - 2 = 8. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b + 296. Determine r(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362675 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 57 = 4*y. Suppose q - 88 + y = -3*d, 0 = -2*d - 3*q + 53. Solve 5*o - j - d = 0, -3*j + 4 = 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (1 - 0) - -3. Suppose 5*q - 3*w - 5 = 0, -2*w + 2 + 0 = 2*q. Let s(j) = -1 + q - 1 + 3*j - 2. Calculate s(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 1:16 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -1\/34, 71\/2, -0.2, -103?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*q + 48978, -52*a + 2*q + 39186 = -48*a. List the prime factors of a.\nAnswer: 2, 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 189585, 378152, 566719, 755286?\n\"Answer: 188567*p + 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36506*m**5 + 14*m**4 - 2*m**3 + 4275535*m wrt m?\nAnswer: -730120*m**3 + 168*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*f + 2*t, -17 = 5*f - 4*t + 16. Let j(r) be the third derivative of -r**4\/12 - r**3\/6 - 9*r**2. Calculate j(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i, -2*i = -q + 1 - 3. Let t = 27 - 21. Suppose -q*d + 32 + t = 0. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 2, -65, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 g when four letters picked without replacement from {u: 1, c: 2, g: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.9 + 21.14. Let g = 3.14 - n. What is the closest to g in 0, 5, -1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0926534182 + 3.\nAnswer: 2.9073465818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 0*u**4 - 6 + 0*u**3 + 0*u**2 - 2*u + 47\/5*u**5. Differentiate h(i) wrt i.\nAnswer: 188*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 17*o - 14*o - 9, -5*o - 30 = 4*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3 - 0.3. Suppose 3*r = -2*r + 20. Let n be 18\/(-2) + -31 + 36. What is the closest to k in r, n, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 3*y**8\/560 - y**6\/120 - 4*y**3\/3 + 3. Let g(z) be the third derivative of s(z). Find the third derivative of g(d) wrt d.\nAnswer: 216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58564 divided by 11\nAnswer: -5324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 7988 + 9*p - 7988.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrf when three letters picked without replacement from {h: 7, f: 2, r: 1, j: 1, w: 6}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 10:12 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a week?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1807689 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 598*f + 4*f**2 - 598*f + (f - 4*f - f)*(0*f - 5*f + 3*f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0.5, -36387, -1, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:31 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66879106 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -5*n - c, -5 = -4*c + 3. Suppose -3*p + 6*p - n = 0. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 314 - 456. Let a = -76 - i. Is 33 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.09 and 7417 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146 + -127 - (16 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/8 (b) -0.05 (c) -3\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223380572 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 6*z - 4. Let n be y(4). Suppose 4*d - n*k - 884 = 0, 4*k = -4*d - 219 + 1095. Suppose d = 4*p + p. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a - a**2 + 9*a + 118 + 120 - 238 to t*a + i + r*a**2 and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -762, 5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 2430.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11732959 times 11?\nAnswer: -1.29062549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6667.855 days in hours?\nAnswer: 160028.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 1060 + k**4 - 1060 - k**2 as m*k**4 + o + x*k**2 + t*k**3 + f*k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0*j**5 + 0 + j + 0*j**3 + 0*j**2 + 0*j**4 + 1\/14*j**7 - 1\/10*j**6. Factor g(z).\nAnswer: 3*z**4*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 340*q**4 + 2*q**3 + 2*q**2 - 113*q + 37 wrt q?\nAnswer: 4080*q**2 + 12*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 57 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 2*b**3 + 2*b**2 + 5 - 3)*(-1 + 0 - 2)*(-136*b + 1135*b + 284*b).\nAnswer: 7698*b**4 - 7698*b**3 - 7698*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -182916756 divided by 5841\nAnswer: -31316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -15. Suppose 2*x + 8*d = 7*d + 187, 466 = 5*x + 2*d. Let i = x + -90. Solve -i*l = c*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3220313 is divided by 4467.\nAnswer: 4073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7743039 divided by -3\nAnswer: 2581013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5323*z - 165. What is the ten thousands digit of u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**(-6))\/u*u*u*u**(-1\/4))**50)**(-8\/7) assuming u is positive.\nAnswer: u**(-500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2690, 4351, 6838, 10151, 14290, 19255?\nAnswer: 25046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*m - 7*m. Let x be m - (-1 + 2)*(4 + 0). Sort -3, x, -26 in descending order.\nAnswer: -3, x, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 59*r**5\/12 - 29*r**4\/3 + r**2 + 19. What is the second derivative of w(d) wrt d?\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 2. Let d be p(-2). Let r = 119 + -72. Suppose -r - 217 = -d*m. What is the highest common factor of m and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/7 (b) 96.5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsv when three letters picked without replacement from sddysvydjdvg.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 21*x**2 - 26*x + 16. Let s be r(-20). Suppose 5*n - 163 = 4*b - 27, s = -4*b - 3*n. Let q = 107 + b. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1275 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*j - 0*j - 6, -2*j + 7 = 3*a. Let x(n) = -a + n**2 - 2 + 0*n**2 + 6*n. What are the prime factors of x(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*13\/39*(-6)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**3\/6 - 11*q**2\/2 + 128*q. What is x(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4 minus -14204?\nAnswer: 14194.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185 - 174. Solve -h + 1 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-40))\/((-122)\/(-915))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 405\/1125*(30\/(-27))\/(-5)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38872 * 3.\nAnswer: 116616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732*t + 10217 - 11214 = 23891 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 115, 282, 521, 832?\n\"Answer: 36*a**2 - 13*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-96)\/68) - -7)\/(4\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -75009.\nAnswer: -300036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440231 a multiple of 772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.55 + 68.55. Let m = g - 59. What is the second smallest value in 1\/2, m, 1\/4, 2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*a = 20, -j - 4*j + 20 = a. Suppose -3*z + 4*z + 3*n = -4, -2*n - j = 0. Suppose -z*g - g + g + 2*g**2 = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3 + (3 - 3 + 1)*(2 + 2 - 2) + 12 + 6 - 13)*(0 + g**2 + 0).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 176*c + 178*c - 236 = 0, 2*a - 232 = -4*c. Calculate the least common multiple of 330 and a.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -18?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from bbyuyyybyuby.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20827 - -83309\/4. Solve -3\/4*s**3 + 1\/4*s**4 + 3\/4*s + 0 - j*s**2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48601, -98957, -149313, -199669, -250025, -300381?\nAnswer: -350737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r = -47*r + 8234. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -211*l**3*o**3 + l**3*o - 143*l**3 - 7*l**2*o**3 + 2*l**2*o**2 + 28*o**3 - 8 wrt l?\nAnswer: -1266*o**3 + 6*o - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -71*h**3\/2 + 8*h**2 + h. Let v = -1751 - -1744. Is r(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 2*p + 19, 0 = x - 3*p - 13 - 17 + 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -4*2\/(-64)*-2. What is the nearest to r in 3, 1\/2, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**5\/60 + 9*o**4\/8 + 7*o**3\/6 + 242*o**2. Let k be d(-4). Is -116 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - -1) + 0*(-19)\/(-285). Which is the biggest value? (a) g (b) 15\/26 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (sqrt(11) - (2 + sqrt(396))**2) + 1 + sqrt(66)\/sqrt(6).\nAnswer: -395 - 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 3, 4 in descending order.\nAnswer: 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - 11)*(1 - 0). Let k be -1 + (-1 - 11)\/b. Suppose -k*u + 105 = u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/(m\/m**2))\/((m**(-1\/4)*m)\/m**1))\/((((m*m\/((m**(-1)\/m)\/m)*m)\/m)\/m)**(-3\/13)\/(m**(1\/7)*m\/(m\/m**(1\/4)))) assuming m is positive.\nAnswer: m**(285\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53\/3 - 17. Let y be 1 + 2 + (-2)\/2. Suppose y*i - 3 = 5. Which is the second biggest value? (a) i (b) 5\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80120768 + 12.5?\nAnswer: -80120755.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**4\/12 - b**3 + 2*b**2. Suppose a = 5*z + 33, 3*a - 21 = 2*z - 0*z. Let r = -2 - z. Give h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -163033.\nAnswer: 163033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81956*m**3 - 82000*m**3 + m - m.\nAnswer: -44*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*y + 1328, 2*u - 5*y - 1713 = 973. List the prime factors of u.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 6*l**2 + 3*l. Let r be y(-4). Find the first derivative of r*a - 2 + 0 - 17*a wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, 1029.\nAnswer: -0.2, 4, 1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((280\/(-260))\/(-7))\/(-1*1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 788734 - 2366203\/3. Let r(j) = 2*j + 5. Let t be r(-5). Which is the fourth smallest value? (a) -0.8 (b) g (c) 3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 57700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98170085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -95. Suppose -2*p - 2*p + 119 = -121. What is the greatest common divisor of f and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1879252 or -1879254?\nAnswer: -1879252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02921296694 to 6 dps.\nAnswer: 0.029213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 58 - (-2 + 2)\/(-2). Let h = q - 61. Is (3 + -4 + (h - -2))*-13 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-360)\/324)\/(4\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 + 34*k\/11 + 120\/11.\nAnswer: 2*(k + 5)*(k + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 6*b**3 - 919. Let g(x) = -x. Give a(g(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 = -5*j, 2*j = 7*j + 4*y + 3. Let i = -0.9 - -0.81. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 234589095?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 2, -3, 4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1717, -1733, -1767, -1825, -1913, -2037, -2203, -2417?\n\"Answer: -i**3 - 3*i**2 - 1713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -4 + 8\/3*a - 8*a**2 - 1\/6*a**4 + 25\/9*a**6 + 82\/9*a**3 - 6*a**5. Suppose s(h) = 0. What is h?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312 is divided by 460?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 276 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 2. Calculate k(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0269? (a) -3\/4 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13087 and 483?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2855316 is divided by 1235?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - z**2 + 3*z - 1. Let o be g(1). Suppose o*n - 4*a - 879 = -3*n, 5*a = 3*n - 517. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjpiqpipipquipppiiiu. What is prob of picking 2 j and 2 u?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38369.73 decades in years?\nAnswer: 383697.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 10*a - 6. Let u be t(-8). Solve 3*o - 1 = -u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and (-12)\/16 + 135\/20.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q. Let l(y) = y**2 - 2*y. Determine l(v(u)).\nAnswer: 9*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*m**4 + 4579*m**2 - 82*m - 4579*m**2 wrt m.\nAnswer: -804*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-22))\/(3\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8014, 7932, 7850, 7768, 7686, 7604?\nAnswer: 7522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 20 = -4*m, 2*m + 40 = 4*n + 64 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 309846500 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11)*r*r\/r**(1\/5))**(-23) assuming r is positive.\nAnswer: r**(-2047\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(2736) + 3) - sqrt(2736)) + 1)**2.\nAnswer: 1320*sqrt(19) + 68521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*2)**2 + -3 - (-1 + (sqrt(1872) + 2)**2).\nAnswer: -48*sqrt(13) + 670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -27. Suppose 0 = -a*n - 3*z + 33, 3*z + 18 = 2*n - 9. Calculate the greatest common factor of n and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(456) - sqrt(456))\/sqrt(8) + -5*(sqrt(57) + 1*sqrt(57)))\/(-3*-1*sqrt(3) + sqrt(3) + (sqrt(3) - (sqrt(147) - -3*sqrt(147) - sqrt(147)))).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6 - 0)\/((-15)\/((-304650)\/(-20))). Is f greater than or equal to -677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9768\/(-4477)*110\/5?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 1\/2*u**3 - u + 9\/2*u**2 + 0. Let y(s) = 4*s + 13. Let g = -11 + 18. Calculate g*z(o) - 5*y(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2*p**4 + 63*h**2*p**2 - 32*h**2 - 1592*p**5 + 3*p**2 wrt p.\nAnswer: -24*h**2*p - 95520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 10*c + 3. Let v(f) = f**2 + 7*f - 10. Let h be v(-7). Let z be q(h). Solve z*r - 20 = 4*i, -7*i + 3*i + 4*r = 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1397 + -1396. Which is the nearest to -1? (a) -1\/3 (b) -0.2 (c) -18.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 218779 - 6?\nAnswer: 218773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**5\/5 - 284*x**4\/5 + 156*x**3 + 220588*x**2\/5 - 426976*x + 1045440 = 0.\nAnswer: -27, 5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 13360*s - 293438. Give m(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*c - 31, 5*m + 6*c - 4*c = 33. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -748084, 1\/5, -2\/5.\nAnswer: -748084, -2\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:49 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 156088*y**2 - 31685862*y - 406 = 0. What is y?\nAnswer: -1\/78044, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/7036 and -27\/4?\nAnswer: 7036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + c**2 + 7*c - 4. Let o be i(3). Let n be 3 + o - (1 - 0 - 179). Let d = -56 + n. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -v - 0 + 1, 0 = -2*v + 6. Suppose -p - 5 = 0, 0 = u*q - 0*p - p - 11. Let b be 2*(-1)\/4*-34. Put b, -5, q in descending order.\nAnswer: b, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2709 - 1614. Is 1*9*b\/45 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 1995.\nAnswer: 21945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44884 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4*g + 20 = 0, -5*b - 74*g = -70*g - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 144 = -4*y + 3, 0 = -3*j - y - 86. Let i = -15 - j. Let d = i - 10. Solve 5*f + 5*c - 15 = 0, -c - 3 = -d*f - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 6*n + 4. Let w be 2\/6 + 160\/24. What are the prime factors of b(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*q + 10, 5*q + 2*b = 7 + 5. Let m be (-2)\/(-4)*0\/1. Let w be m - (-1 - (q - 1)). Solve 5*d - 6 = -2*p, -4*d - w*p + 4 + 0 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-340)\/2*(-12)\/30. Find the second derivative of s*o + 785*o**2 - 785*o**2 + 48*o**5 wrt o.\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4462\/45 - -478\/5. What is the common denominator of -29\/7 and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 392, -18, -228, 5 in descending order.\nAnswer: 392, 5, -18, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 6 = 7*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h**2 + 145*h**2 - 86*h**2 - 5*h**3 + 29*h**3 - 32*h**2.\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j - 8 = -32*j. Suppose 11*i - 290 + j = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 5680\/2393?\nAnswer: 5680\/2393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 0*r**2 + 0 + 0*r**5 + 0*r**6 + 8*r - 5\/6*r**4 - 5\/21*r**7 + 0*r**3. What is the third derivative of a(i) wrt i?\nAnswer: -600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*q - 4, -5*q = 5*a - 5. Suppose n + a - 15 = 0. What is the remainder when n is divided by (3\/(-9))\/((-3)\/45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4088 and 4816?\nAnswer: 351568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(75) - (sqrt(21)\/sqrt(7) + -2) - (3 + sqrt(36)\/((sqrt(96) + sqrt(96)*1 + sqrt(96))\/sqrt(8))))*-2)**2.\nAnswer: -88*sqrt(3)\/3 + 496\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = -r - 3*r, r = d - 3. Suppose -5*s + 16 = 2*b - 14, -30 = -5*s + d*b. Solve 0 = v - s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 3*x**2 - 15*x - 11. Let a be i(-4). Let j be 852\/(-16) - (-2)\/8. Let v = j + a. Calculate the greatest common divisor of 60 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 2)*(-6*j + j + 4*j) - j - j + 4*j - 37*j + 4186 - 4186 to the form r*j + v and give r.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 786659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**3 + 5775*m**2 - 81291*m + 285033 = 0.\nAnswer: -1939, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99.972 - 100. Let f = 0.072 - i. Round f to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t = -3*l + 36, 4*l = t - 2. Let b = 140 + -138. Suppose 0 = -5*j - 4*x + 6, 3*j - b*x = -j + t. Solve -j*r = -7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 7 + (4 - 27 - 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 133, 149, 169, 193, 221?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 6 - 1) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (1 + -2)) + 1. Let c be (-7 + 8)*(2 - g). Is (-2 - -40)*c\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 334 - 329.16. Round o to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -122*-85*1\/2. Suppose 0 = -4*y + 6535 + k. Round y to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 1) + 3 - -5. Solve -i - c*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/6*(-6)\/4. Let w be 2*(-5)\/(-10) + -38. Let y = 37 + w. Solve y*g = -v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17019512 divided by 56356.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(2448) + -2 + sqrt(2448)*2 + sqrt(2448) + (1*(sqrt(2448) + sqrt(2448)*1 + sqrt(2448)) - sqrt(2448)) + 1))**2.\nAnswer: -720*sqrt(17) + 88153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -88*o - 1\/12*o**4 + 0 + 0*o**2 - 13\/10*o**5 - 1\/6*o**3. Calculate h(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*((d**(-1\/7)*d)\/d)\/d))\/d)\/d)**(-2\/9))**(-1\/67)\/((d\/(d\/(d*d**(-9)*d)))\/(d*d*d**(-3)))**(28\/3) assuming d is positive.\nAnswer: d**(78788\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l - 893 = -209 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/(44\/3)*15418\/3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19614937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724 = n + 350*d, -n - 2*d + 127 - 265 = -110 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -3*y + 7*h + 60, -2*h + 65 = 3*y. Factor 20*u**2 + 69*u + y*u**2 + 43*u**2 - 25*u**2 + 6.\nAnswer: 3*(u + 1)*(21*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 20 in ascending order.\nAnswer: -4, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-284)\/3479)\/((-2)\/7*1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2938, -2\/21, 3\/2, 1\/5.\nAnswer: -2938, -2\/21, 1\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*m - 195*m - 30*m)*(-22 + 2 + 4).\nAnswer: 2112*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t. Suppose 8*r + 24 + 40 = t. Let b(g) = -g - 5. Calculate b(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*1)\/sqrt(2))\/(6*3*sqrt(484)).\nAnswer: sqrt(3)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8083 a factor of 361358598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*q**4 - 6*q + 2*q + 12*q wrt q.\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012081505 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t*z + 8077878*t - 24204516*z wrt z.\nAnswer: -2*t - 24204516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 7:43 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:35 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*q - 9, -2*z + 15 = 5*q + 3*z. Suppose q*x = 2*x - 120. Suppose 2*m - w + x = 259, -m - w = -92. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-346)\/(-865)*815090\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*x = -3*x - 1760, -g + 5*x + 869 = 0. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200617095?\nAnswer: 3, 5, 7, 67, 28517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/9*3)\/(4\/6). What is the remainder when 144 is divided by (-39 - 10)\/(0\/(-2) + t)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kews when four letters picked without replacement from {k: 1, s: 2, w: 3, e: 1, n: 3, t: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 4. Let n be w(-8). Let m(x) = 5*x**3 - x - 3. Let h(y) = -6*y**3 + y + 4. Let t(j) = n*h(j) + 5*m(j). Let u be t(3). Solve -6*q + u = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.047*-150.626.\nAnswer: -7.079422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45052001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -5*w**3\/6 - w. Suppose -41 = 3*h - 44. Give b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/(-1) - (37 - 300) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3680 = -10*k - 6*k. Let b = 242 - k. Which is smaller: b or 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1800\/1650)\/((-14)\/11).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y - 20*y - 20*y)*(3 + 2 - 3).\nAnswer: -96*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 130, 314, 648, 1132, 1766, 2550, 3484?\n\"Answer: 75*l**2 - 41*l + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = 62*u - 20 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -13*v + 0 + 2 + 1 + 17*v. Give a(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -7 - 18, -3*m + 5*w + 17 = 0. Let s(u) = 6*u**2 - 32*u + 59. What is the tens digit of s(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3641 + -1491. Suppose -6*w + k = -1540. Let y = w + -236. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 12*d + 6. Suppose a + 5 = -5*h - 95, 5*h = 2*a - 115. Let b be m(h). Suppose -5*s + 2*s = -b. What is the greatest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 6. Let q = s - 54.0000116. Round q to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**4\/4 - p**3\/3 + 3*p**2. Suppose 4*i + 11 = -3*k, -471 = 5*i - 2*k - 463. Let u(j) = 12*j + 5. Calculate i*u(a) - 5*g(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 - 74*m**4 - 216*m**3 - 214*m**2 - 71*m.\nAnswer: -m*(m + 1)**3*(m + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {a: 1, x: 1, e: 1, f: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 20*z**3 + 256*z**2 - 52*z = 0.\nAnswer: -13, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -9686, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -638951.7 to the nearest 100.\nAnswer: -639000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6008 and 27\/896.\nAnswer: 672896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2637 - 608. Is p a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 2:38 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 84 = -5*m + 36, -2*m - t = -55. Let q = -814 + 1163. What is the remainder when q is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 3, v: 1, t: 7, y: 2}. What is prob of picking 2 t?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3595*q**3 + 7422*q**3 - 3981*q**3.\nAnswer: 7036*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505 = -198*v + 2470 + 1056 + 345 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 22*q**5 - 17*q**5 + 38*q**5.\nAnswer: -q**4*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 76221\/1377 - (-6)\/(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6249127*t**3 + 470*t + 1014 wrt t.\nAnswer: 37494762*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6197*y**2 - 390*y - 378*y + 768*y - 6190*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 9. Let v be k(-6). Suppose 14*u + 27 = 11*u. Let h be ((-12)\/9)\/(6\/u). Solve -t - v = -h*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2. Let m(q) = q + 3. Let n(y) = -3*f(y) + 2*m(y). Let h(c) = -17*c**2. Calculate h(n(t)).\nAnswer: -68*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69615 + -69615. Let p be 1*(-2)\/34*-3. Sort a, -1, -2\/3, p in decreasing order.\nAnswer: p, a, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 152122516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -659, -1127, -1779, -2627, -3683, -4959, -6467?\nAnswer: -8219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*r + 20*r + 37*r)*(-2*r + 0 + 0) + 2*r**2 - 4*r**2 + 3*r**2 to m + x*r + o*r**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1022 divide 1036878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3 - 624*d**2 + 17745*d - 118638 = 0.\nAnswer: -234, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17381923 to the power of 1\/2, to the nearest integer?\nAnswer: 4169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 6*m**2 + 10*m - 10. Let w be p(8). What is w rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 551 and 1769?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2623 - 896 - r - 1370 in the form d*r + l and give l.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 911581746 to the nearest 100000.\nAnswer: 911600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -3 - -4) + 71?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 817372180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8646 - -21738. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -3. Let l be t*(1 + (-7)\/3). Let u be 8\/(-21) + (-2)\/7. Which is the second biggest value? (a) l (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*h**2*n**4 - 4*h**2*n - 72*h**2 + 2*h + 236*n + 35 wrt n.\nAnswer: -436*h**2*n**3 - 4*h**2 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -201700*s**3 + 49*s**2 + 52*s + 4. Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2. Suppose -3*x - b = 2*x + 11, 0 = 3*x + 2*b + 1. Let d be 1 + 1 + 2*x*-2. Let s(a) = 130*a - 130*a + d*a**2. Give s(o(n)).\nAnswer: 126*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 470152 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g + 34 = 5*p, 5*p = 3*g + 38. Let n = -2 - -17. Let r = 26 - n. What is the remainder when r is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukxxuxwkkk. Give prob of sequence uxu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -60628*3.932\nAnswer: -238389.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**3 + 4*z**2 - 39*z - 3. Calculate y(4).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 12*x**2 - 65*x + 811. Let n be b(13). Solve 679 = 38*r - n*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13932)\/24)\/129)\/((9\/(-36))\/(26\/36))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3070 = -5*f, -4*s + f - 2474 = -4*f. Let u = -8 - s. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-8 + 16 + -1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -17. Let s = n + 41. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -50, -36, -10, 22, 54, 80, 94?\n\"Answer: -n**3 + 15*n**2 - 42*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-93373432)\/2684*11\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:14 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1625*u**3 - 1600*u**3 + 3227*u**3 + u.\nAnswer: 2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1016*h**2 - 49*h + 4 + 49*h - 984*h**2 + 8.\nAnswer: 32*h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -1\/120*g**6 + 0 + 1\/20*g**5 + 0*g + 6*g**2 + 5\/24*g**4 - 2\/3*g**3. Calculate x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9844488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 3. Let s be 196\/(-70)*5\/(-7). Find the first derivative of -o + 4 + 6 - 3 + 16*r**s wrt r.\nAnswer: 32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5816943 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 184 + 1. Suppose -3*o - 5*d + 493 = n, -5*o + 502 = -3*d. Suppose 293 = 3*v + 4*u, v + 0*v - o = -2*u. What is the greatest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7561.139 centuries in years?\nAnswer: 756113.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 4. Let d be q(4). Suppose d*z + 3*z = 0. Suppose 4*t + 6 = 2*r, -4*t - 2*r + 0 - 10 = z. Which is smaller: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 17*v**4\/54 - 19*v**3\/27 + 2*v**2\/9 - 251*v. Determine r, given that q(r) = 0.\nAnswer: 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0)**(-18)\/(a**(-2))**(2\/33) assuming a is positive.\nAnswer: a**(-590\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 1)*(3 - 6 + 2)*(-196*m**2 + 64*m**2 + 52*m**2) to the form x + s*m**2 + a*m and give s.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 24*v - 13. Let w(p) = -11*p + 6. Let q(c) = 6*k(c) + 13*w(c). Let l(m) = 989 - 989 - 17*m. Determine q(l(g)).\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 + 8*t**2 + t**3 + 3*t**4 + t**2 + 1 in the form j + w*t**4 + x*t**2 + k*t + b*t**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, 19, 1, -3, -1 in ascending order.\nAnswer: -3, -1, 1, 4, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123725 and 20200.\nAnswer: 989800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-68 + 67)*((-209)\/(-38) + -2)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = j + 13, -2*j + 4*q - 4 = q. Let a = j - -5. Suppose 0*x - 4*x + 36 = a. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/54 and 17\/1917.\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-20))\/(60\/100). Which is the smallest value? (a) -4 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p + 40*p + 84*p in the form b*p + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18824505 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**3 + 3*z**2 - 9*z. Let f(x) = -12*x**3 - 7*x**2 + 18*x. Determine -3*f(r) - 7*g(r).\nAnswer: r**3 + 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -296757 and -296757 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 521413*q - 6256919. Determine m(12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + 2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2 + 9*p - 2. Let v(s) = 6*s**2 + 10*s - 2. Let t(k) = -5*u(k) + 4*v(k). Determine t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z - 11. Does 3 divide f(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-10))\/(-1))\/((-105)\/17500*-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 7, 6, 5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118681074.\nAnswer: 2, 3, 197, 33469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11913*l**2 - 178479*l - 3240.\nAnswer: 3*(l - 15)*(3971*l + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgfffsppgssgpuuuu. Give prob of picking 3 p.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*k**2 - 15*k**2 - 51*k**2)*(-k**2 + 7*k - 48*k - k**2).\nAnswer: 208*k**4 + 4264*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x + 2. What is i(3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 3. Suppose -4*s = i - 21, 4*i - 3*s - 2*s = 63. Suppose 3 + i = 5*f. Give v(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.02713312 to 0 dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5.11 (b) -2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 4964036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19208 + 160*h + 2*h**3 + 3*h + 38410 - 163*h - 19202.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c + 17. Let b be a(-5). Let t(h) be the first derivative of -2\/3*h**3 + 6 + 0*h + 0*h**b. Let l(d) = 3*d. Calculate l(t(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 756\/(-105)*180\/756?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 1. Let z be l(4). Suppose -4*o = 3*m - 18, -o - 5*m + 3*m + 2 = 0. Let f = o + z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-3)\/(-1) - 1306. Let b = -10304 - h. Round b to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 4*s + 16, 5*d - 55 = 5*s - 35 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3) - sqrt(9)\/(sqrt(27) - sqrt(3))))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 - 742761?\nAnswer: -742734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644888848 to the power of 1\/2, to the nearest integer?\nAnswer: 51428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 4*f - 18. Let y = 1537 + -2230. Is (4\/f)\/(14\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5216616 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9450899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12475837.\nAnswer: 11, 19, 59693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.4. Suppose -3*a = -2*a. What is the nearest to a in -2\/7, 3, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364 divided by -91\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 137029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(((-2)\/(-3))\/((-246)\/(-9))). Suppose r*m = 38*m + 861. Let d = -191 + m. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 v when three letters picked without replacement from revrvvrvrrerveeevee?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -21*y + 28. Let p(l) = l - 1. Let d(x) = -28*p(x) - z(x). Let m(o) = 8*o. Determine m(d(k)).\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -43 (c) -3 (d) 0 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*z = -3*z + 104, 4*v - 2*z = 152. Let b = v + -18. Let h = 12 + -8. What is the lowest common multiple of h and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9*((-11)\/10 + (-153)\/(-306)). Let j(k) be the first derivative of -q*k**3 - 12\/5*k + 22 + 7\/5*k**2. Determine w so that j(w) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.08 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*n + 21062 = 107*n - 10549 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, z: 2, b: 5}. Give prob of sequence bz.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-9) - (7 + 447016\/(-12)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*d + 3*d. Let l(z) = -z**2 - 3*z + 3. Let v be l(d). Suppose -i = 1, -v*i = 2*p - 3*p + 7. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*l**3 - 43*l**3 + 50092 - 7*l**4 - 50092 - 929*l**2 + 45*l**3 wrt l.\nAnswer: -168*l + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -5*h - 3*v, 3*v = h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*a + 22 = -3, -i = a - 5. Suppose i = 3*f + 2*f - 535. List the prime factors of f.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84 - -59) + (-50 - -140)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-2 + 20 + -6 + (4 - 15) - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12, 13, 1, -3\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1062\/(-36) - -12)*(5\/50)\/1\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 p, and 1 h when three letters picked without replacement from hpxx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -49203\nAnswer: 4920.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8498.19l to millilitres.\nAnswer: 8498190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**4\/4 + 8*d**3 + 41*d**2\/2 - 3*d + 27. Is k(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.4, -7, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-27)*6\/64?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 + 2748*u**2 + 1885125*u - 3781250 = 0. Calculate u.\nAnswer: -1375, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 - 5*z + 7. Suppose 0 = 3*s - 3 - 15. Is j(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**5 - 266*d**4 + 2346*d wrt d?\nAnswer: 40*d**3 - 3192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149\/8 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -919, 19, -19, 4, -6 in decreasing order.\nAnswer: 19, 4, -6, -19, -919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-10)*((-1430)\/(-33))\/13. What is the greatest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45750 is divided by 7623?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c2 + 1c94?\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.308, 2, 3\/2, 0.1, -5, -2\/57 in descending order.\nAnswer: 2, 3\/2, 0.1, -2\/57, -0.308, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r**2 - 5*r + 6*r**2 + 2*r + 8 + 4*r**2. Let n(s) = -s**3 + s**2 + 2*s. Let p be n(2). What is the remainder when a(p) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*g = 2. Suppose 24 = c + 3*c. Calculate the remainder when 41 is divided by -1 - g\/(c\/45).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five halves of a day?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 7*k**2 - 25. Give b(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 3588\/7069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 144858 to the power of 1\/2, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3335.29*0.029.\nAnswer: -96.72341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3104767 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, e: 5, n: 1, r: 1, t: 1}. Give prob of picking 2 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 1 n when three letters picked without replacement from iipndippiinnnini?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 15 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*q + 32 = -p, -p - 1 = -2*q. Let y = 3 + 0. Sort 1, p, y in decreasing order.\nAnswer: p, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148820\/(-6378)*4\/(-14)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 232 or 590.5?\nAnswer: 590.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*n + 744 = -929*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/8 + 13 + (-4511)\/364. Let q = -0.06 + 1.06. What is the third smallest value in s, q, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 466*k - 311*k + 1085 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((1*sqrt(448) + sqrt(448))**2 - -2*-3*sqrt(7)) + (sqrt(28) + (sqrt(28) - sqrt(112)*-5))\/(sqrt(196)*1)).\nAnswer: -60*sqrt(7)\/7 + 3584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k + 7. Let o(v) = 23 + 18 + 23 - 67 - v + 6*v. Determine -3*h(w) - 7*o(w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**4*l - 256*g**2*l wrt g?\nAnswer: -72*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 210*l + 213*l + 3 - 421*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v + 206*v + 5 - 5 to the form o + l*v and give l.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/29, 13, 26\/31, -1.24?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 160710.59.\nAnswer: 803552.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 23*d - 28*d, 5*u = -4*d - 3. Solve -16 = -4*n + q - d*q, 2 = q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/90 and -71\/165.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -665*c*n**3 - 31*c*n + n**2 wrt n?\nAnswer: -3990*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -330426.0941 to the nearest 1000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 2 + 16*o - 13 - 2 + o**3 + 25*o**2. Is z(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 8*s - 4. Let p(h) = 5*h**2 + 33*h + 15. Let d(w) = 9*g(w) + 2*p(w). Let c be (-2)\/9 - (116\/(-36) + -3). Calculate d(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 372193 = 372213 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - -87?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/21, -0.001 in increasing order.\nAnswer: -2\/21, -0.001, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7586121 - -21772166993\/2870. Let i = m - 1\/287. Which is the nearest to 1\/5? (a) i (b) -1\/4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 + 17090*k**2\/7 - 68392*k\/7.\nAnswer: 2*k*(k - 4)*(k + 8549)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 417, 396, 355, 288, 189, 52, -129?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -22, -88, -192, -334?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + l + 19 = 0, 265*l = x + 267*l + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 8 - 4. Suppose -10*w = -x*w - 59240. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 146223*g**2 - 1781836920*g - 1781690700.\nAnswer: -3*(g + 1)*(g + 24370)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5028704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 - -0.7. Let g = 2\/21 + 13\/84. Put 0.4, f, g in increasing order.\nAnswer: f, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/9)\/(44\/(-13596)). Which is smaller: 722 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 3) + 1 + 16. Is (n\/(-4))\/((-3)\/24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/16, -3\/2, -1\/11?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 16*c - 3*j = 27*c + 21, 0 = -5*c - 97*j + 93*j - 28 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 714.1937 seconds?\nAnswer: 714193700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354438868 divided by -164932?\nAnswer: -2149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let z(g) = 2*g. Let b(v) = 5*y(v) - z(v). Let a(i) = 7*i**2. What is b(a(m))?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t + 2 - 2.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/35 - (-2 - 22\/(-14)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3187, -13205, -29901, -53275, -83327, -120057?\nAnswer: -163465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 283, 3 in descending order.\nAnswer: 283, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225*n**4 - 56*n**2.\nAnswer: -5400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516018.\nAnswer: 2, 3, 17, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -60 (b) -2\/3 (c) -0.4 (d) 0.01 (e) -0.027 (f) -3\/8 (g) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1969*n**3 - 3*n**2 - 10. Let g be b(-3). Round g to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 - 14*z**2 + 22*z - 10. Let v be (4 - (-5)\/(-2))\/((-6)\/(-40)). What is the units digit of j(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 71365?\nAnswer: 428190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357.5 - -355.5. Put f, -3, 1, 2 in ascending order.\nAnswer: -3, f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 24 = -z, 0*z = -5*z - 5. Let o = -63 - -83. Let w = 66 - o. Calculate the remainder when w is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 6. Let t be x(5). Suppose -t = -2*v + 4. Solve -r - v*r - 15 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 - 699806*i\/11.\nAnswer: 2*i*(i - 349903)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 114945*u + 3909267. Give i(34).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*y = 5*c - 100, 2*y + 235 = 5*c. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1704 by -111681.\nAnswer: -568\/37227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -12*p + 9. Sort p, -3, -23.\nAnswer: -23, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 9) to base 13.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let t(k) = 80*k + 308. Let x be t(-4). Let z(q) = -10*q**2 - 12*q - 12. Let b(l) = 0*l**2 - 2*l**2 + l**2 - 1 - l. Give h*z(n) + x*b(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -118261652?\nAnswer: 35478495.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 177, 169, 157, 141, 121?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43304 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8346377?\nAnswer: 13, 19, 33791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14963 - -14952.2. Which is smaller: -0.12 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 2\/9, 1, 32 in descending order.\nAnswer: 32, 1, 4\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.3. Let k = -57\/1468 - 111613\/339108. Let f = -2\/33 + k. Sort 5, y, f in increasing order.\nAnswer: f, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 4*q + 1. Let i be b(-3). Let z = -2 - i. Let o = z + 8. Let l(w) = -3*w + 3. Determine l(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*171\/114*2\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -22*x**2 + 234*x + 30. Let b(c) = c**2 - 13*c + 1. Give 36*b(u) + 2*o(u).\nAnswer: -8*u**2 + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 460\/966*49*(6\/(-5))\/((-126)\/20).\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2)*t*t*t**(4\/7)*((t**2*t*t)\/t*t)**(-18))**(45\/2))**(-14) assuming t is positive.\nAnswer: t**20925","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/96 and -61\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17224693\/1943 + 8865. Let x = 7766\/5829 + w. Let i = 1.5 + -1. Which is the third biggest value? (a) x (b) 4 (c) i (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 12 + 8. Let j be ((-2)\/q)\/((-4)\/180). Let f = j + 62. Round f to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x**2. Let i(c) = -3*c**2 - 7. Let m(u) = -u**2 - 2. Let k(z) = -2*i(z) + 7*m(z). Determine r(k(f)).\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 30 - 14*d + 31 - 21 + 25. Let h be w(4). Solve h*t + 16 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -14. Let r(v) = -6*v**2 - 11. Let p(k) = k**2 - 4*k - 2. Let a(o) = o**2 - 2*o. Let j(d) = 6*a(d) - 3*p(d). Calculate u*j(s) - 6*r(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-2 + 1 + 3). Let i(p) = -3*p + 1. Calculate the remainder when 28 is divided by i(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3)*(-3)\/6. Let n be 1*z*(3 - 6). Let h = 1 + -1. Solve 0 = n*s - h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9742642 weeks to seconds.\nAnswer: 589234.98816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 340, -0.5, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-884)\/3120 + (-6)\/(-18)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/((-3)\/((-342)\/7)). Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000681033 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100385 is divided by 810.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Let n be 0 - 900\/(-240)*4\/(-3). Which is the biggest value? (a) 0.3 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3420 - -3789. What is the remainder when c is divided by 75?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/2*1 + 20. Let m = -7 + 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: Simplify ((g**(-11)*g)\/(g\/(g*g\/(g*g**(-6\/7)*g))))**(-38)*((((g\/(g\/((g*(g**5*g)\/g)\/g)))\/g)\/g)\/(g\/(g\/(g\/g**(-8)*g))*g))**(-3\/22) assuming g is positive.\nAnswer: g**(29762\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1761 - -1761.2. What is the third biggest value in 3\/4, 1\/4, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7865735l to millilitres.\nAnswer: 786.5735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15208 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 263*y**5 + 7*y**4 + 6440*y**3 + 49*y**2 - 758380 wrt y?\nAnswer: 15780*y**2 + 168*y + 38640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 41. Let g be s(-18). Let t = 185 - 92. Let x = t - g. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:30 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**3\/6 - 3*g**2\/2 - g. Let s(z) be the first derivative of -3 + 7*z + 2 + 3 - z**2. What is -3*s(r) - 7*v(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 2, g: 1, a: 1, z: 1}. Give prob of picking 1 o, 1 z, 1 t, and 1 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -64, 1\/9, 3, 0.4, -1304?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/60 + r**4\/12 + r**3\/3 + 199*r**2 - 2. Calculate n(9).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2558417\/15 + -170751. Let w = 190 + h. Let n = -270 + 269. Sort 0.5, w, n in ascending order.\nAnswer: n, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1574733)\/6)\/((-33)\/6). Let u = c - 844557\/22. Let w = u + -9326. What is the common denominator of 85\/18 and w?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35.38321 and 4350875?\nAnswer: 4350910.38321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 25 = 4*p, -60 + 15 = 5*p + 4*z. Put -6, p, 2 in decreasing order.\nAnswer: 2, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 a, and 1 x when four letters picked without replacement from xfoaaxx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 3:31 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 10*x + 9*x + 6 - 10*x - 5*x in the form w + j*x and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 9 + 33*n - 9)*(-3*n - 6*n + 2*n) to the form d*n**2 + h + z*n and give d.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114102, -228088, -342088, -456108, -570154?\nAnswer: -684232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*-2 + sqrt(114))*2)\/(sqrt(864)*-1 - sqrt(6)))**2.\nAnswer: 76\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/2*(-6)\/(-24)*4516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113122 and 722742?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*s + 26*s - 7. Find the common denominator of (105\/25)\/s*19\/34 and -65\/8.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.297.\nAnswer: -0.1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**3\/3 + 3*t**2\/2 + 4*t - 6. Let j be f(0). Let c = j + 46. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 1. Let b be m(1). Let n(a) = a**2 + 21*a - 10. Let z be n(-20). Let j be (6\/(-15))\/(((-6)\/(-2))\/z). Sort j, b, -2 in decreasing order.\nAnswer: j, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 13 = -0*m + y, y - 17 = -4*m. Suppose 3*d = -5*k + 129, -3*k + m*k + 2*d = 30. Let v = k - -30. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-44))\/(-1))\/((-12)\/(-8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgjr when four letters picked without replacement from {j: 7, d: 1, g: 5, r: 1}.\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 1 - 1024*q + 9 - 1.\nAnswer: -1024*q + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 53*m - 44. Let b be l(-25). Solve 25*z - b*z = 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 less than -22.3?\nAnswer: -22.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**4 + h**3 + 1. Let y(p) = 35*p**4 + 3*p**3 + 141*p**2 + 1. Let d(u) = -n(u) + y(u). What is the third derivative of d(g) wrt g?\nAnswer: 792*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 5*q + 3*p, 3*q + 12 = 4*q + 5*p. Let a(g) = -g**2 + 28*g + 31. Let h be a(29). Solve -3*b = -h*i - 23, -i - 2*i - q = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**11*w**(-16) assuming w is positive.\nAnswer: w**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:29 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15266 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 28*y**2 + y + 5. Let s be n(14). Is 7 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536759223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 - -27 - (124 - 75)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -7. Let q(w) = w**3 - w**2 + 3*w + 3. Let x(h) = 6*h**3 - 6*h**2 + 16*h + 16. Let m = 7 + -23. Give c*x(j) + m*q(j).\nAnswer: 2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4*m**2 + 4*f**4*m - 385*m**2 wrt f.\nAnswer: -8*f**3*m**2 + 16*f**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -23. Let v = 46 - 41. Is n bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 3:18 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62417370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3335 is divided by 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 273098421 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 163820843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-5 - -2) + 2)*-4 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1373 - 1372.401. Let x = -0.099 + o. Which is the nearest to -0.2? (a) x (b) 2\/47 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 10*g**2 + 26*g + 275. Give b(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cucucccuccccuc?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*p + 3*t, -4*p - 4*t - 4 = -2*p. Suppose -12 = -4*w, w + 27 = -0*i + p*i. What is the remainder when 29 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**3 - 728*i**2 - 3*i + 322. Let f be r(104). Solve 11*d = f*d + 3, -10 = -q - 3*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-40)\/(-5)))\/((-10)\/(-16))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 2*c**2 - 2*c**2 + (0 + 1 + 1)*(-3 + 3 - 3*c**2))*(0*c + 2*c**2 + 0*c).\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -390423512 - 313376?\nAnswer: -390736888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2.362\nAnswer: -4.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b = 5 + 64 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*a + 481*a - 244*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/6 - 3*x**2. Let c(q) = -3*q + 4*q - 2*q. Determine c(k(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 2.3. Which is the second biggest value? (a) 0.05 (b) 4 (c) -0.3 (d) s (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/8 + 247345\/5180\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2802 + 2764 - (-5 + -129).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 27*h**3 - 2*h**2 + h + 2. Let c be b(2). Let a = c - 121. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2437166090?\nAnswer: 2, 5, 29, 8404021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5080 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39383 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 154. Calculate s(0).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {w: 7, z: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040635 rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*f = -187*f + 26 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**5*v)\/(v*v**(-2\/3))*(v**(5\/2)*v)\/(v\/v**(2\/11)))\/(v**(-1\/6)*v*v*v*v**(-5))**(-9\/8) assuming v is positive.\nAnswer: v**(-1103\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -17. Suppose -2*i + 171 = i + 4*z, i - 65 = -q*z. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in 0, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8782097 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27144, -108323, -243582, -432915, -676316, -973779, -1325298?\n\"Answer: d**3 - 27046*d**2 - 48*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 425204788 and 3?\nAnswer: 425204785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 16. Solve 4*s + r = -2*w, 4*s + 5*w - 40 = 8*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*u - 56 = 363*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 79*v**2 + 1. Let h be s(1). Let y be h\/14 - (-2)\/7. Suppose 0 = -5*f - 4 + 24. Solve y = 4*g + 2*d, f*g + 3*d - 5*d = -6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16404321, -32808644, -49212967?\n\"Answer: -16404323*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 + (2 - -1). Suppose 0 = -4*g - w*v, 3*v = g + 3 - 11. Solve m - 2*y - 2 = 0, 2*m + 2*y = 12 - g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 10469\/4747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 51*r**2 + r + 1. What is a(-1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164 - 173) + 124\/14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1417422 = -17*n - 1416725 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 0. Suppose -b = m - 5*k, 0 + 1 = -3*m + k. Solve -2*q = -m + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x - 125. Let k = -2995 + 2962. Give o(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2316, 2299, 2280, 2259, 2236, 2211?\nAnswer: 2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 19}. What is prob of picking 2 a?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 1272.6455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69254 - -30?\nAnswer: -69224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*m - 4*c + 10 = 0, -m + 2*c = -10. Solve m = -x - x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 9, z: 9}. Give prob of sequence zazz.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 2*a - 3. Let t be d(-2). Let z(n) be the second derivative of n**3\/3 - 7*n**2\/2 - 4*n. Is z(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 15*h - 32. Let k be (5 - 10) + 21 + 1*-3. Let r be c(k). Is 967\/(r\/39 + (-15)\/(-13)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/15 - 5*m**4\/24 + m**3\/3 - 6*m**2. What is the remainder when y(3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 10*t**2 - 8*t - 6. Let l be r(9). Suppose s + 2 = 2*c + 6, -c = -s + l. Let g = 5\/3 + -4\/3. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2 + 13 = 0. Let a = c - -9. Let g(o) = -o**2 + 9*o - 7. Let m be g(a). Solve m = -4*s + 5*t, -3*s - 5*t - 6 = -24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Let z = 3185 + -19061\/6. Let x = z - 15\/2. What is the second biggest value in 14, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*j - 2*j**2 - 25*j - 29*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/70*42\/(-36).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4948256 divided by 7648.\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 9*v + 8. Let f be s(7). Suppose 0 = -4*k - 12, 5*x = -4*k + 2 + 16. Let o(a) = a**3 + x*a + 5*a - 5*a - 2*a**3 - 5*a**2 + 5. Calculate o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/7 - 11685*y**3\/7 + 1669*y**2 + 11685*y\/7 - 11684\/7 = 0 for y.\nAnswer: -1, 1, 11684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2165\/66 - -113\/3. Find the common denominator of -43\/8 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, i: 2}. Give prob of picking 4 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 + 2*x**3 + 2*x**2 - 6*x**4 - 6*x**3 + (7*x**2 - 7*x**2 - 8*x**3)*(-x - 3*x + 9*x) as m*x**2 + f + b*x**3 + n*x + y*x**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -540 less than -536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 864*t**4 - 2*t**3 - 270*t - 1. Let u(y) = 2592*y**4 - 7*y**3 - 811*y - 1. Let q(f) = 2*u(f) - 7*x(f). Find the second derivative of q(g) wrt g.\nAnswer: -10368*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727156 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 538\/3? (a) 135 (b) -1\/10 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11 = -1. Calculate the remainder when -14*(1 + (1 - 4)) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(2*sqrt(252))**2*5 + -1*(sqrt(7) - (-4*sqrt(112))**2)*2)*-6.\nAnswer: 12*sqrt(7) + 159948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(1\/1 + -2). Let c = -23 - d. Calculate the greatest common divisor of c and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, 2, -164 in ascending order.\nAnswer: -164, -5, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*c + 8*c - 27, 2*x = -c + 7. Let i be (2 + -2)\/x + 10. Calculate the highest common factor of i and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1971\/5 - 15983\/40. Calculate the common denominator of i and (-1736)\/640 - -7 - (-2)\/5.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c - 2*c - 6 - c - c. Let o be d(5). Let s**2 + 0*s**4 + 3*s**2 - 2 - 2*s**o = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emgmmmgggglgg. Give prob of picking 4 g.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3*z + z + 2 + 6*z**2 - 11*z**2.\nAnswer: -5*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y + 99. Let p be o(15). Let m = p + 383. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/408 and 95\/72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 33*n - 345 = 447 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 466 + -478. Let m be (7 + 78\/q)*10. Solve 9*o - m*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 7\/81304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*l + 152 = 103*l. Let g(y) = y**3 + 6*y**2 - 4*y. Calculate the lowest common multiple of l and g(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300422, 300409, 300372, 300299, 300178, 299997, 299744?\nAnswer: 299407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -32 + 9 + -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4*(9 + -5)*1. List the prime factors of 4\/h + -172*6\/(-20).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 26*d**2 - 28*d + 14. What is the remainder when r(14) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6795*y**3 - 6069*y**3 + 13671*y**3.\nAnswer: 807*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136704169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + 3*sqrt(68)\/sqrt(4) + 3 + (sqrt(425) + sqrt(17) - sqrt(17)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-285)\/(-2375)*(-3)\/(-6))\/(147\/35)?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*g + 273 - 293, 5*f - 2*g = -8. Let n be 9\/(-15) - (-206)\/60. Let h = -115\/42 + n. Which is bigger: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 2585*f**2 + 9960*f - 153900.\nAnswer: 5*(f - 6)*(f + 10)*(f + 513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24150 rounded to the nearest 100?\nAnswer: -24200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/64 and 61\/412.\nAnswer: 6592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 2.7. Let n = d - 0.6. Let p be ((-20)\/(-105))\/((-12)\/9 + 1). What is the biggest value in p, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16331 - r + 16297 + 9*r to s*r + u and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -5.6. Let n = -5 + y. Which is the biggest value? (a) -0.02 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -676851\/272 or -2489?\nAnswer: -676851\/272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317803471, 317803470, 317803469, 317803468?\nAnswer: 317803467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1056?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*n - 69 - 184 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 0, 0 = -2*k - 4*v + 6*v - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/2 + 12 + -4. Let o(h) = -3*h**2 + 8 + 2*h + h + 2*h + 2*h**2. Give o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m**3 + 4*m**2 + 8*m - 9. Let g(k) = -9*k**3 + 5*k**2 + 9*k - 10. Let u(d) = 6*g(d) - 7*l(d). Let y = 0 + 2. Is u(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 22bc1?\nAnswer: 22bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*i - 524 - 481 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/32639?\nAnswer: 3\/32639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 15. What is the smallest common multiple of 16 and (-4)\/(-18)*i*18?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -178826 in 0, 2, -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 + -76. Let i = 2089874.00156 + -2089918. Let j = y + i. What is j rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7)**(-1\/24))**(-26) assuming y is positive.\nAnswer: y**(91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -3, 11\/18, -0.1, 0.055, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-1890)\/(-75)) - 46\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven halves of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -47. Let a be (-1 + 15\/24)\/(18\/(-40)). Factor 5\/6*v + 5\/3*v**d + 1\/6 + a*v**4 + 5\/3*v**2 + 1\/6*v**5.\nAnswer: (v + 1)**5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + -53 - (6 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1023 (base 11) to base 3\nAnswer: -1212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*t**3 - 3584871*t + 48637181?\nAnswer: -36*t**2 - 3584871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -31309821*a + 1074. Let d be p(-6). What is d rounded to the nearest 1000000?\nAnswer: 188000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.127 plus 245?\nAnswer: 339.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118 - -117.8. Let b = -0.78 + -0.22. What is the closest to g in -5, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25981899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 167507599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w**2 - 2*w**2 + 0*w**2)*(-9499*w + 4 + 9506*w - 25) to the form f*w + y*w**3 + z + h*w**2 and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10110101211 (base 3) to base 2\nAnswer: -10000100111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11797 - 23595 + 11798 + 10919*y.\nAnswer: 10919*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1315\nAnswer: -2\/1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 264562.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/15792 and -103\/624.\nAnswer: 205296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + 264*c + 16*c**3 - 10*c**3 + 3 + 3*c**2 - 3*c**2 - 906*c to the form a*c + g*c**3 + q + b*c**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 3*p + 3. Let u = -65 + 25. Let q(o) = 25*o**2 - 40*o - 40. Let w = 1 - 4. Let r(c) = u*d(c) + w*q(c). Let h(y) = -y**2. Determine h(r(m)).\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - -1. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 4. Let w be (3\/(12\/(-10)))\/(3\/d). Solve 17 = -2*j - 5*v, 4*j - w = v + 2*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -274 and 0.179.\nAnswer: -49.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0214967 to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*i**2 - 69*i**3 + 4 + 45*i**2 + 0 + 67*i**3 - 7.\nAnswer: -2*i**3 + 251*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9873142 micrograms in grams?\nAnswer: 0.0000009873142","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 8784?\nAnswer: 61488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/2, -0.041, -7, -1\/4 in descending order.\nAnswer: 5, -0.041, -1\/4, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = 5*y - 5*y - 2261. What is the remainder when 3721 is divided by y?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29352883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4 - 9 - 4*u - 4. Let h(j) be the third derivative of 7*j**4\/8 + 15*j**3\/2 - 31641*j**2. Determine -2*h(a) - 11*w(a).\nAnswer: 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41937, -84040, -126143, -168246?\n\"Answer: -42103*c + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 + -10)\/((-2)\/(-6)). Let p = 2 + x. Find the first derivative of -1 - 3 - p*k**3 + 3*k**3 wrt k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 + 70*p - 35. Determine k(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1 - 1 - 3*t**2. Suppose 0 = -0*f - 3*f + 21. Let z(l) = 10*l. Let q(w) = 7*w. Let m(v) = f*q(v) - 5*z(v). Calculate m(i(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2874*u. Let w(i) = -304*i. Let c(r) = 83*r. Let s(z) = -11*c(z) - 3*w(z). Calculate s(t(b)).\nAnswer: 2874*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.08, -0.13, -0.2, 4 in increasing order.\nAnswer: -2\/3, -0.2, -0.13, 0.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010 (base 5) in base 3?\nAnswer: -112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1522 and 65\/9?\nAnswer: 13698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {l: 3, e: 3, g: 1, m: 3, r: 2, h: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 437255? (a) -5 (b) -0.12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 448322, 1793168, 4034584, 7172576, 11207150, 16138312?\n\"Answer: h**3 + 448279*h**2 + 2*h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 = -304*n + 3811. What is the smallest common multiple of ((-30)\/(-4))\/(3\/128) and n?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-2 - -1 - 484). What is g rounded to the nearest ten?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/40 and 2\/(-3)*(-8319)\/376.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16032 - 4*r**3 + 16032.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -154 - (42 + -49 + -79)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 204 = -6. Let k = v + 27. Solve 58 - 18 = 5*m + k*w, -3*w = 2*m - 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 1\/30*h**6 + 0*h + 5*h**2 + 0 + 0*h**3 + 1\/12*h**4 + 0*h**5. What is the second derivative of d(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -595 + 625. Calculate the remainder when 59 is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122\/5 - -864\/35. Let o(x) = x**3 - 26*x**2 - 48*x - 224. Let z be o(28). Let r be (-2)\/(-1) - (1 - 1). What is the nearest to s in r, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.39 + -1.81. Let r = -14.36 - g. What is the second smallest value in -4, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -196 - -36?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k + 31*k + 348 = 19*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 11:46 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5478 by -22.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44))**2 + -5 - (sqrt(220)\/sqrt(4))\/sqrt(5)) + 0.\nAnswer: -sqrt(11) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17588, 70264, 158060, 280982, 439036, 632228, 860564, 1124050?\nAnswer: 1422692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375 divided by 55.\nAnswer: 75\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 11:47 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/10520 and 119\/489180.\nAnswer: 978360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 173037?\nAnswer: -173039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.924 + -0.076. Let a = n + 15.176. What is a rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/4 - 1)\/(-1 + 0). Suppose t*m = 5*m + 153. Let o = 55 + m. Solve 2*g - o = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 188?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*f + 5. Let r be ((-4)\/(-3) - 2)*(-2 - 1). Let q = r - f. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 12. Suppose -4*v + r = 7*k - 2*k, -4*v = 4*k. Suppose -k*w - 52 = -10*w + 2*s, 4*s = -5*w + 46. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = g - 1, 3*b - g - 6 = -1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p - 1. Let h be g(1). Let l(y) = y**2 + 12*y + 18. Let f be l(h). Suppose 0 = 4*z - 106 - f. What is the remainder when 123 is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 12485?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 15 (b) 2 (c) -2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 225.300563299 and -0.1.\nAnswer: 225.200563299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -76*19.75417\nAnswer: -1501.31692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565908711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 1 + 0*j + 2*j**2 + 4*j - j**3. Let t(g) = -g**2 + 1. Let o be (-9 + 13)\/((-4)\/(-2)). Calculate o*t(f) + z(f).\nAnswer: -f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -53. What is the common denominator of ((-156)\/(-45))\/(2\/i*1) and -70\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.3, 1\/133, -0.3, -2\/445, -4, 0.01?\nAnswer: -2\/445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3 = -3*u, 0 = -6*u + u - 8*k + 24 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-1)\/(2\/10). Let p(z) = -z**2 - 3*z - 4. Let y be p(q). What is the units digit of ((-33)\/6)\/(2\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6095 + -6091. Let b be 0\/(-2) - 4*-5. Solve r*p - b = 0, -6 = 3*j - 4*p + 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16261578 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210021 + 10?\nAnswer: 2210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:16 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 864*x**2 + 2594*x + 5. Give k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 3. Let k be o(6). Suppose l - 8*r + 3*r = 614, 2*l - k*r - 1221 = 0. What are the prime factors of l?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31799? (a) 0.7 (b) -2 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 - ((-3313)\/85 + 43).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 - 28*b - 2285 + 2285)*(-3*b**2 - 2*b**2 + 4*b**2).\nAnswer: 3*b**5 + 28*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 105193716 = 49146272 - 25699988. Round c to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 121?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 - 7*r**2 - 2.\nAnswer: -7*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {j: 10, o: 4}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 170 = -205. What is the smallest common multiple of 10 and n\/(105\/(-50) - -2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 0, -9, -24?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 90828878?\nAnswer: 817459902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -87\/2120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 5*t + 2. Let r be p(5). Let c be (3\/r)\/(3\/(-4)). Let w = c - -1. What is the closest to w in -3, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 18 + 55*h**3 + 3*h - 23*h**3 - 18*h**2 - 12*h**3 - 21*h**3 - h. Determine l(-18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4949153878?\nAnswer: 2, 2474576939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 6. Let i(f) = f + 1. Let c(n) = -6*n - 5. Let m(j) = b*c(j) + 5*i(j). Let g(u) = -2*u. What is m(g(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-395)\/(-237)*(-3)\/(15\/4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 3*u + 2*u)*(-154 - 127 - 130) to the form z*u + m and give z.\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 - -3. Let u = -7.1 - l. Let k = u + 5. Sort -4, -0.4, k in descending order.\nAnswer: -0.4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 34499938*h**2 - 297561361501073*h + 1190245998003364.\nAnswer: -(h - 4)*(h + 17249971)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**5\/30 - 5*x**4\/12 - 10*x**3\/3 - x**2. Let l be z(7). Let p = 13 + -5. Calculate the greatest common factor of p and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5960)\/48 + 35 + 35\/30?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 164265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 10*k - 16. Let z be h(8). Let n(i) = i**3 - i**2 + 89. Is n(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/30 + i**5\/5 + i**4\/3 - 8*i**2 + 2*i. Factor b(j).\nAnswer: 4*j*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-70))\/((-6)\/7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 7:59 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 84. Which is the third biggest value? (a) -7 (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 9*h**2 - 2*h + 3. Let i be k(-9). Calculate the highest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 - 233*b**2\/2 - 10815*b\/2 + 34569\/2.\nAnswer: -(b - 3)*(b + 69)*(b + 167)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*q = -2*p + 133, -3*p - 3*q = -72. Solve 7 + 18 = p*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43488022 + -43488026.6000078. Let a = 4.6 + g. What is a rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 4*n - 50 = 0, 182*d - 3*n = 177*d + 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 214*r = 184*r - 15624 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1224 + -1?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 122*y - 27. Is l(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 38 - 108. Suppose -14 + 45 = 4*b - 5*c, 2*b - v = 2*c. Let x = -1.1 - -1. What is the nearest to 1\/2 in b, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-105) - ((-2316)\/(-21) - 2). Let v = s + 131. What is the remainder when 131 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -640.39 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/60 - t**4\/6 + 5*t**3\/2 + 48*t**2. Let a be k(7). What is the greatest common divisor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/((-12)\/(-8) - 3). Let m = 23 + f. Solve -3*k + 0 = -4*w + 7, 2*w + 3*k + m = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, and 1 z when three letters picked without replacement from smmzssst?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 11. Let z be f(8). Let p be z*2 + 13 + -10. Let k be -1 - 2\/(-3 - -1). Solve m + 4*q - p = k, 3*m - 2*m - 3*q + 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6 - 4 - 5*a + a**2 + 2 - 2. Let z be f(8). Let h be 8\/z + (-278809972)\/(-49). What is h rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/3, 0, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + g**4 + 2 + g - 4 + 5 to y*g**2 + h*g + i*g**4 + x + f*g**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 108, 0, 11, 2 in increasing order.\nAnswer: -2, 0, 2, 11, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 + 5*s**4 + 2*s**2 - 6*s**4)*(445 + 505*s - 445).\nAnswer: -505*s**5 + 1010*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177 + l - 195 - 3*l + (l - 15 + 15)*(2 - 5 + 2))*(-6 + 2 + 1)*(-5*l + l + 2*l).\nAnswer: -18*l**2 - 108*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 2:54 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 16)\/(1 + -2). Let d(b) = -b - 2. What is the remainder when 24 is divided by d(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200523 divided by -7\nAnswer: -200523\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1540 + 1837. What is the least common multiple of 132 and v?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 15 = 5*s. Let t = 3 + s. What are the prime factors of (t\/4)\/(2\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 10*b**2 - 8*b - 7. Let c be q(9). Suppose 14816 = 4*w - w + c*p, 4932 = w + 2*p. Suppose 8*v = w + 3978. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26, -2, -4 in ascending order.\nAnswer: -26, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 - 50. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.62077 micrograms in tonnes?\nAnswer: 0.00000000007962077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.9 - 12. Let f = n - 4.9. Which is the second biggest value? (a) f (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-15)*(v**(1\/12)*v)\/v*v**(-1)\/v**(13\/3))**(-26))**(-33) assuming v is positive.\nAnswer: v**(-34749\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 22573?\nAnswer: -10\/22573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*x**3 + 111762*j**3*x**2 + 5*j**3*x + 6136*j**2 - 116*j*x**3 wrt j?\nAnswer: 6*x**3 + 670572*x**2 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3901423823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 77*u**3 + 6*u**2 + 8*u + 75*u**3 + 8 - u**2. Let f(t) = -t**3 + 5*t**2 + 5*t + 5. Let w = 11 - 3. Give w*f(b) - 5*z(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -446 bigger than -444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21 + 2.21. Let f = o + 3. Let z = -10 + 9.6. Put z, f, -2\/3 in decreasing order.\nAnswer: f, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.084\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 660 divided by 44\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*x + 8 - 2, 5*r = -5*x + 30. Let u(z) = 11*z**2 + 3. Let q(c) = -4*c**2 - 1. Let l(y) = 8*q(y) + 3*u(y). Give l(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**3 + 12*z - 12*z.\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36613905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -4\/5, -55, 11\/5, 5, -0.5 in descending order.\nAnswer: 5, 11\/5, 3\/7, -0.5, -4\/5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a8 (base 15) in base 5?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 193*x + 194*x = -41 + 37, -3*q - 14 = 5*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 728 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/231*14\/(-40)*-10?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -15909.\nAnswer: 11\/5303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a - 10*a + 34*a - 12*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56543398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 33402?\nAnswer: 33404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55181736.\nAnswer: 2, 3, 31, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.2 - 37. Let f = -3.939 - -1.939. Let r = 9 - 7. Which is the fourth biggest value? (a) r (b) 2\/5 (c) o (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f + 31*f - 480 = 21*f. Suppose 3*z = -3*s + 278 - 104, 3*s - z = 190. Let b = s + -38. Calculate the highest common factor of f and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*k - 357 = 376*k. What is the remainder when k is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 14 = -36. Let i(r) = -r**2 - 13*r - 24. Let w be i(g). Which is the nearest to -1? (a) -3 (b) w (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*q = -1, 4*h - 3*h - 7 = -3*q. Let p be (h\/4)\/((-21)\/12). Which is the fourth biggest value? (a) -2\/3 (b) 0.4 (c) p (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 7, g: 5}. What is prob of picking 2 b?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1339285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*b - 2*b. Let o(n) be the first derivative of 0*n**3 - 3*n**b + 4*n + n**3 + 0*n**3 + 3. Differentiate o(x) wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(3\/(18\/(-8))). List the prime factors of 2\/s*(-1 + 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 18. Suppose -l - 2*l + 96 = 0. Let f = -41 + l. Calculate z(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 235 - 4*w - 235.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 121*z**2 - 42*z - 5078. What is y(-121)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 36*y**3 + 15*y. Let s = -59 + 89. Let x(n) = 5*n**3 + 2*n. Determine s*x(c) - 4*o(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 3*s - 31, -33 = -5*g + 31*s - 35*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 + 236*x - 17. Is a(45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((63\/(-4))\/7)\/(6\/4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = d + 2*j, -49*d = -50*d + 5*j + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 16*b**2 + 17*b + 1. Determine j(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from vbbfvibvvv?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228734380?\nAnswer: 2, 5, 103, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c + c**2 - 25 + 23 - 8*c**2 - 14*c.\nAnswer: -7*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(80) - sqrt(5)) + -2 + -2*(-1*sqrt(63) + sqrt(63) - sqrt(63))**2.\nAnswer: -128 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 + -131. Suppose 562 = 4*n + 10*l - h*l, -4 = 2*l. Let i = n - 69. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/3 - 26*s**3 - 100*s**2 - 296*s\/3.\nAnswer: -s*(s + 2)**2*(s + 74)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -814 (b) -4 (c) -8\/89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n**(2\/5)*n))\/n))**28*n**(-3\/11)*n**10)**(-25) assuming n is positive.\nAnswer: n**(-21155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3356*s = -3*w + 3360*s - 19, -4*s + 13 = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*((-45)\/(-10) + -4). Suppose 3*x - 25 = -2*z, y*x - 45 = -2*x - 4*z. Find l such that -l**2 + 0*l**3 + x*l**3 - l**2 - 3*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -271, -1691, -5547, -13057, -25439?\nAnswer: -43911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 237875941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81993950 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119602 is divided by 9182?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -38241839*i + 117843. Let v(x) = -7140*x + 22. What is 4*l(n) - 21426*v(n)?\nAnswer: 14284*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66941 and 393?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 + 35*(-2208)\/3360?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*t + 183*t - 100 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 7*t - 9. Calculate the remainder when y(4) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4*s**2 + 7 - 28*s**2 - 1.\nAnswer: -32*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 35\/(-8))\/(192\/30720)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1865810718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 - (-1 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 4.7. Let w = -7 + 7. Let z = w - 4. What is the second smallest value in -4\/3, f, z?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 16. Suppose 2*p = 23 + g. Suppose -f = 0, 5*h + f - p = 2*f. What is the smallest value in -0.3, 3\/11, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*41.\nAnswer: -16.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(-1)*(-6)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 + 3*l**5 - 5*l**5 + (-l**4 - 5*l + 5*l)*(l + 1 - 1) + l**5 - l**5 - l**5 + (-2 + 0 + 3)*(-3*l**5 + 3*l**5 - l**5).\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43061.02 litres in millilitres?\nAnswer: 43061020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -139, -159, -195, -253, -339, -459, -619?\n\"Answer: -f**3 - 2*f**2 - 7*f - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8 = 3*n, 6*n = -4*k + 3*n + 1. Which is the biggest value? (a) k (b) -1 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5757, -11509, -17247, -22965, -28657, -34317?\nAnswer: -39939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35554 and 45975.\nAnswer: 2666550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 5. Let x be i(-6). Let k be (-6)\/6*(x + 9). What are the prime factors of k\/(-36) + (-194)\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from {k: 3, r: 1, u: 2, j: 6, e: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 292 - 341. Is (w\/147)\/((-2)\/42258) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 11*y**4\/6 + 3*y**2 - 2*y. Let j(f) = 10*f**2. Give i(j(c)).\nAnswer: 440*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(304)*2 - sqrt(304) - (0 + 1*sqrt(304)))**2*-3*-1.\nAnswer: 91200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 0, 0 = -x - 3*k + 83 - 6. What are the prime factors of x?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(12\/((-24)\/10)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 20)*(3 - 2 + 0)*(2 + 4 - 4)*(-2 - 3 + 7)*(4*l**2 - l**2 + 0*l**2).\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3719 - -3798. Suppose -5*a = 25, -4*m + 3*a + 405 = m. Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13624.12 - 13819. What is u rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 467880 and 168.\nAnswer: 467880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 13*c**2 + 70*c + 31. Calculate w(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 2\/53 (b) -2\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 283414 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Let z be (-20)\/48*(-15)\/(-50). What is the third smallest value in b, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 16*h**2 + 2 - 4 + 13*h**2.\nAnswer: -8*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = s - 5*z - 23, 2*z = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 4*s - 7*s - 17, 0 = -4*s + 3*f - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*g - 3068 = 2309 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence god when three letters picked without replacement from gagamod?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyy. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 339, 1103, 2587, 5031, 8675, 13759?\nAnswer: 20523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1024 (b) 1.9 (c) -5 (d) -2\/11 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155902600 and 600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 12*j**2 - 9*j + 6. Let o(x) = -3 - 2 - 11*x**2 + 0 + 8*x. Let v(c) = 6*o(c) + 5*y(c). What is r in v(r) = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79286 - 37185110\/469. Let v = -50977\/2814 - u. Let m = -3695\/1133 + -48\/103. Calculate the common denominator of v and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.191*0.2\nAnswer: 0.2382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -4, -28 in decreasing order.\nAnswer: 5, 3, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 3113522140?\nAnswer: 3113522139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26369 = 4*f - 11*f. Let c = -11488\/3 + f. Is 1 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-762969005)\/16940*-2 + (-2)\/(-14). Let r = a - 90079. Calculate the common denominator of 127\/6 and r.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15483*v - 2288603 + 2288603 as g*v + o and give g.\nAnswer: -15483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c5d - 5?\nAnswer: -c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 8*s - 3. Let x be q(8). Let a(y) = -y**3 - 3*y**2 + 2*y - 1. Let n be a(x). Let m = -5 - n. What is the greatest common divisor of 8 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22821181 + -13546531. Let u = m + -9274683.000044. Let o = 33 + u. Round o to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6017421681?\nAnswer: 3, 2081, 321289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {s: 2, i: 9, a: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*i**3 + 322*i**3 + 318*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21151, -42330, -63533, -84760, -106011, -127286, -148585?\n\"Answer: -12*w**2 - 21143*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/19554 and 71\/9?\nAnswer: 58662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 332 - 333.58. Round l to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263a2 (base 11) to base 6.\nAnswer: 450423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1163, -2332, -3503, -4682, -5875, -7088?\n\"Answer: -f**3 + 5*f**2 - 1177*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 11. Let r(f) = -2. Determine 2*q(k) + 11*r(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132.94 + -133. What is the nearest to 1 in r, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 21, -147, -487, -1059, -1923, -3139, -4767?\nAnswer: -6867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -824044*d**2*t**3 + 7367*d*t**3 - d*t**2 + 2*d + 5*t**3 wrt d?\nAnswer: -1648088*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38b77 (base 12) in base 8?\nAnswer: 227613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and 6926.\nAnswer: -297818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 749950 to the power of 1\/2, to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-420) - 5894\/(-490)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31*2*3\/66 and 11\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**8\/560 + z**4\/8 + 4*z**3\/3 + 3. Let a(k) be the third derivative of h(k). Differentiate a(d) wrt d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/3*m - 7\/6*m**3 - 3*m**2 + 1\/2*m**4.\nAnswer: m*(m - 4)*(m + 1)*(3*m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 8:22 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 - 2*i**2 + 3*i**2 + i**2)*(-65*i - 55*i + 75*i + (i - 2*i + 0*i)*(0 - 1 - 2)).\nAnswer: 84*i**5 - 84*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2971912 is divided by 6016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 325327?\nAnswer: 130130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*i - 6. Suppose -24 = -i*w + 6. Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 883 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k**4\/5 + 4215*k**3 - 186966*k**2\/5 - 1001436*k\/5 - 1086072\/5 = 0.\nAnswer: -2, 13, 6962\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 4. Let w = -3 + 7. Let u be k(w). Let i be 3*3 + (u - 2). Solve 10 = -5*o - 2*v, -3*o - i = v - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -457 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0, -1\/24.\nAnswer: -1\/24, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 86*a**2 - 6*a - 5. Calculate u(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmx when three letters picked without replacement from mrxwmmtrwpxmwww?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-319)\/(-116) - 6\/8. Factor -2\/7*b**h + 0 + 2\/7*b.\nAnswer: -2*b*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33660*z = -33764*z - 4056 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1487\/20 - -299\/4. Which is the nearest to 0.01? (a) 2\/7 (b) m (c) 1\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (135\/81)\/(25\/90). Which is the closest to 1\/4? (a) 3.8 (b) 3 (c) 2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 251, 2.3, -11 in decreasing order.\nAnswer: 251, 5, 4, 2.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/91*22 - -4\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29190208 is divided by 210.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48939 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 83694 divided by -291\nAnswer: -27898\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 718808 by 1.\nAnswer: 718808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 5 - 1 - (-144 - 6). Suppose 0 = 4*p - 3*p + 5*x - u, -p + 171 = -x. Does 24 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*o - 402 = 0, 4*j - 75 - 244 = o. What is the greatest common divisor of 464 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33157 (base 8) to base 9\nAnswer: -21103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - l - 29*l - 370 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 2*n**2 + 2*n - 3. Calculate r(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:27 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 70318.5462 milliseconds in weeks?\nAnswer: 0.0001162674375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -6*j - 3. Suppose 0 = -4*y + 20, -y = i + j - 6. Solve i = -5*w - 4*k + 19, 20 = 5*w - k + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/10*(3 + 2). Let j = 0.09 + 3.41. Let q = -4 + j. What is the closest to 1 in h, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/5072 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 898873544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w + 52*w - 351297 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 183.979 kilograms?\nAnswer: 183979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 42*d - 53. Give b(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 7*l**2 - 6*l + 5. Determine b(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13469\/2210 - 3\/130. Let b = 6 + a. What is the biggest value in 3, -0.1, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1\/2, -2, -2\/5, -3\/17 in descending order.\nAnswer: 16, -3\/17, -2\/5, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -1254865*u + 1254862*u - 5*w, -3*u = 3*w - 30 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from tidipelp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = m + 19. Let c = m - -69. Suppose 7*h - 4*h = -3, -5*h + 123 = c*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = -36674 + 36776. Solve -c*o = -1983 + 1935 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100011101011111101 (base 2) to base 10\nAnswer: -932605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2 + 8304657*f - 173496546?\nAnswer: -4*f + 8304657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*o - 12 = 3*m, -4*m = 2*o - 16. Suppose m*u = u - 1. Let v = -1 + 2. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8220 = 124*t + 4872 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0)\/(8 + -10). Suppose 5*m - 415 = -4*s, m = -q*m + 4*s + 59. What is the remainder when 470 is divided by m?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -6, -112 in descending order.\nAnswer: -6, -52, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022020101022 - 220?\nAnswer: 1022020100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -291, -293?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 201193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1660350?\nAnswer: 2, 3, 5, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 11) to base 9.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n, 0 = 3*w + 3*n. Let d = w - -4. Differentiate 0*c**4 + 7*c**d + 2 - 2 - 1 with respect to c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 1. Let i be k(0). Let v(u) = -126*u + 1280. Let r be v(10). List the prime factors of 2362\/r + i\/10.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 13 = 4*z, -16*r + 1 = 4*z - 15*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1072 - 1072 + 38*z)*(2 - 3 + 2) + z + 6*z + 8*z + (-5 - 1 + 7)*(-3*z + 0*z + z) to the form q*z + g and give q.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3869 = -14*m - 6085. What is m rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/9 + 246121*l\/3 - 8122114\/9.\nAnswer: (l - 11)*(l + 738374)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 9. Suppose -2*c - z - 26 = -3*c, -2*c - 4*z = -40. Suppose 3*v - c = 4*v - 3*r, 4*r = -8. Let d = v - -36. Calculate g(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2651 divide 58934381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14766 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (118\/(-708))\/((62\/(-408))\/31)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 17.74.\nAnswer: 16.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 324, 5, -9 in decreasing order.\nAnswer: 324, 5, 4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -126*t - 299. Does 57 divide v(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*7\/((-84)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(1008)*2))**2.\nAnswer: -192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2546 + -2551. Let j(o) = o + 1. Let g(h) = -6*h - 4. What is b*j(c) - g(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 86. Give r(13).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319787 is divided by 413.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/360*((-1470)\/8)\/(-49).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6320, 12600, 18848, 25058, 31224, 37340?\n\"Answer: -i**3 - 10*i**2 + 6317*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2.5. Let j = 2.4 - n. Let m = -0.7 + j. What is the nearest to 2\/7 in 4, m, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 9*r = -770. Find the third derivative of r*g**4 + 4*g**2 - g**2 + 5 - 110*g**4 - 56*g**5 wrt g.\nAnswer: -3360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-37)*(2\/10)\/((-16)\/40)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 218 - 234 + 3*i**2 + 81 as t + p*i**2 + f*i and give t.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49880?\nAnswer: 2, 5, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h + 9 + 3*h - 8*h - 3*h**3. Let r(w) = -w**3 - 2*w + 2. Calculate -2*b(u) + 9*r(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d + 367*d - 21381 = -127*d + 4050 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/5 of a millisecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -61075*f - 3092. Is n(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 7*j. Let v = -4 + 1. What is the units digit of q(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.31 and -648.073.\nAnswer: -200.90263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 6:14 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - -2) + -16 + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, b: 4, a: 6}. Give prob of picking 1 w, 2 b, and 1 a.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -30. Suppose 40 = b - t*b + 4*i, -3*b - 14 = i. Is -2*20*(b + 5) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 4*x - 138 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96641\/7 - 13806. Which is the second smallest value? (a) -1\/2 (b) 5 (c) 2 (d) 0.5 (e) j\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 5.3808?\nAnswer: -8.3808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109.87 + 0.13. Let m = v - 110.4. What is the biggest value in m, -0.7, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i. Let n = 5 + 0. Suppose 24 = n*z - z. Solve 3*r - z = -i*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882135 to the power of 1\/2, to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 277*p + 282*p = 22, 3*q = -p + 33 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6))\/((-1)\/6). Suppose 5*w + p*a - 12 = 4*a, -w = a. Solve c + w = 0, -3*g - 4*c = 8 + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/((-2)\/(-4)). Let g = 11 - 8. What is the tens digit of (-57)\/z*g\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31203 - 3?\nAnswer: 31200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45612169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-22)*-9*35\/21. Which is greater: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*n**2 + n**2 + 12 - 10 + (-3 + 3 + 1)*(2*n**2 - 2*n**2 - n**2) - 2*n**2 - 4*n + 4*n.\nAnswer: -13*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 1. Let f(t) = -t**3 + 9*t**2 - 8*t + 2. Let k be f(8). Let m(x) = -3*x + 4. Let o(q) = k*h(q) - m(q). Give o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14)*3\/(-249))\/(128\/448)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49\/20 - 103\/20. Calculate the common denominator of b and 43\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8549)\/249 - -31)*(0 + 6\/5). Let p(g) = -5*g**3 - g**2 - 5*g. Let a(t) = -5*t**3 - t**2 - 4*t + 1. What is n*p(j) + 5*a(j)?\nAnswer: -5*j**3 - j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 - 155.2. Let y = 0.5466 - 0.0466. Sort k, 3, -1\/9, y.\nAnswer: k, -1\/9, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:07 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 43 = 5*t - 0*j, -4*t = 3*j - 39. Suppose t*k = 8*k. Suppose k = 2*p - p + 7000. What is p rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:07 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/((-1)\/(-15)). Let v(o) = -8*o - 4. Let z(t) be the third derivative of 7*t**4\/24 + t**3\/2 - 2*t**2 + 65. What is i*z(k) - 5*v(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*l - 31 + 146 = -105. Put -179, l, -7 in increasing order.\nAnswer: -179, -7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15939 to the nearest one hundred.\nAnswer: -15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 0 + 165 = 34*o. Solve -4*k + k = o, -4*k - 4 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -160.112804 and -454.4?\nAnswer: 294.287196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10906033.\nAnswer: 1279, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(0*d + 0*d + d) + 1654*d + 1689*d - 207*d + (-2*d + 4 - 4)*(3 - 2 - 2).\nAnswer: 3139*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, 2, -13, 5 in descending order.\nAnswer: 15, 5, 3, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -55*s - 3. Let b = -20 + 17. Does 21 divide l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -18, 7\/4, -0.5, 2 in decreasing order.\nAnswer: 2, 7\/4, -2\/7, -0.5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-630)\/297)*6\/4. Let z be 2 - (-3 + (-165)\/(-35)). Which is the second smallest value? (a) -0.5 (b) 5 (c) q (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 16, j: 1, i: 3}. What is prob of picking 1 j, 1 b, and 2 i?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1237*l**4 + 6*l**3 - 24*l - 1466. Let s(r) = r**4 - r**3 + 4*r + 1. Let x(b) = o(b) + 6*s(b). What is the first derivative of x(h) wrt h?\nAnswer: -4924*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 24 = 16*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-2) + (-72)\/144 + -16\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 28*i + 72.\nAnswer: -4*(i - 9)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -u + 13, -3 = -2*u + w + 2. Let i be (2*u)\/(7 + -5). Solve -8 = 4*c - i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (720\/(-960))\/(1\/((-3)\/(-27))).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 9:00 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at least -126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {h: 1, j: 1, o: 7, d: 7, b: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 413408\/2273865 - -2\/206715. Let j = 0.4 - 7.4. What is the nearest to -0.1 in a, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152 + 272. Let b = j + -64. Calculate the remainder when b is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**3\/6 - 7*b**2\/2 + 5*b - 3. Let w(v) be the first derivative of m(v). Let u(h) = h. Calculate w(u(o)).\nAnswer: -o - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (2 + 5)) + -1. Let k = -15 + 14. What is the third biggest value in k, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.93021 milligrams to grams.\nAnswer: 0.03093021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/5, 9, 820, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 114 = 3*o - 8, 0 = -4*o + 8. Suppose 0 + 2 = n, r + 16 = 5*n. Let c be 8\/r*(-42)\/4. What is the greatest common divisor of d and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*o + 116 - 123 = 0, 9 = m - 5*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(176) + sqrt(176) + 0)*1*-5.\nAnswer: 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 30 = 3*d, -2*d - 65 = -z - 77 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6)*(0*k**2 + 2*k**3 + 0*k**2) + 3*k**3 - k**3 - 4*k**3 - 4*k**3 + 4*k**3 + k**3 + (8*k**3 + 0*k**3 - 3*k**3)*(-3 - 1 + 3).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 41. Let y be s(-15). Let f(l) = -50 + y - 2*l + 21. Determine f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l - 126*l = 12*l - 621. Solve 0*v**l + 2\/9*v**4 - 2\/3*v**2 + 0 - 4\/9*v = 0 for v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/968, -1, -3\/5.\nAnswer: -4, -1, -3\/5, 1\/968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -58. Let q(l) = -3*l + 12. Let n be q(3). Suppose -i*h - 3 + 16 = -4*s, -4*h + 15 = -n*s. Solve -3*r + h = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 25 = 5*g, 156*g + 2*x + 16 = 157*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(5) - 1*sqrt(5)) + (sqrt(125) - (sqrt(125) - 4*sqrt(125))) - (2 + 6*(sqrt(5) - (sqrt(50) - sqrt(200))\/sqrt(10))))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.056524 + 0.056548139. Round v to 7 decimal places.\nAnswer: 0.0000241","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**5\/50 - a**4\/30 - 2*a**3\/15 + 21*a + 19. Let c(h) be the first derivative of q(h). Solve c(x) = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*i - 22 = 0, 4*i - 16 = 4*z - 9*z. Suppose -z*j = j. Suppose 18 = g - j. Calculate the smallest common multiple of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21565653 to the nearest integer?\nAnswer: 4644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1611296 or -1611261?\nAnswer: -1611261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 152 = -5*h, -4*h + f - 34 = -3*h. Let g = -12 - h. Let v = -7 - g. Round v to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 928*g - 4. Let m be k(-2). Suppose 0*o + 6 = 3*o. Let r be (10\/(-3))\/(o\/m). Round r to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -50, -0.2, -1215?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = q + 2, 4 = -12*u + 13*u + q. Solve -3*i - u*r + 16 = 0, -i - r + 18 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -6*h**2 + 0 - 3\/8*h**4 + 1\/10*h**5 + 3\/40*h**6 - h**3 + 2*h. Let l(w) be the first derivative of d(w). Factor l(x).\nAnswer: 3*(x - 1)*(x + 1)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194 * 0.56.\nAnswer: -108.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - ((-174 - 0) + -1). Let q be (m\/(-10))\/(2\/(-10)). Let n = q + -49. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011010110111 (base 2) to base 5\nAnswer: 422012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94152?\nAnswer: 2, 3, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10547, -42193, -94925, -168737, -263623, -379577, -516593, -674665?\n\"Answer: r**3 - 10549*r**2 - 6*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -15*v + 50. Let u be q(4). Let g be (u\/30)\/((-1)\/108). Calculate the highest common factor of 126 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -213 <= -15525\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46279?\nAnswer: 46279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 673, 653, 639, 631, 629?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1113*w**3 + 67*w**3 + 7*w - 546*w**3 - 7*w.\nAnswer: -1592*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193*l - 191*l + 279*l - 2*l**2 to j + m*l + n*l**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37027 and 0.16404.\nAnswer: -37026.83596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-9))\/((d\/(d**(12\/5)\/d*d))\/d)*((d**(2\/27)\/d)\/d*d)\/(d*d**(-14)))**(-3\/26) assuming d is positive.\nAnswer: d**(-437\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:03 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6704.359 and 0.0254613.\nAnswer: 6704.3844613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-3)\/4). Suppose v*o + 4*d + 11 + 3 = 0, 5*o = 2*d - 11. Let c = 4 - o. What is the lowest common multiple of 10 and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, p: 4, b: 2, a: 8, c: 3}. What is prob of picking 1 x and 3 a?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.073 and 23441.\nAnswer: 23441.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 57, -45, 16 in increasing order.\nAnswer: -45, -2, 16, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/148 and -87\/518.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than -133\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039852?\nAnswer: 2, 11, 23633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 5*k + 3. Let x(n) = -n**2 - 3*n + 2. Let g be x(-3). Let q(b) = -3*b**2 + 4*b - 2. What is g*t(c) + 3*q(c)?\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 30 - 25 - 113 - -29?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away -231786117?\nAnswer: 231786117.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26452 - -26443. Put 0.25, -3, r, -4 in ascending order.\nAnswer: r, -4, -3, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7926.43 * -84\nAnswer: -665820.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 525 + -525.0000577. What is f rounded to 6 dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2008)\/(-28) + 2\/7. Let o = 65 - z. Let g(k) = -k - 9. Let b be g(o). Is b at least -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 8:09 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, j: 1, z: 6, y: 6}. What is prob of sequence jzy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 0)*(7 + 11 - 22)*(k - 4*k + k).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155339 and 60992?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 14. Let d be c(7). Solve d = 5*m + 5*h - 20, -5*m + 0*m - 3*h + 22 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -226*i**4\/3 - 20320*i**3\/3 + 21618*i**2 - 1860*i = 0. What is i?\nAnswer: -93, 0, 10\/113, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*a**4*y**2 + 50*a**3*y**3 - 100*a**2*y**3 - 3*a**2 wrt a?\nAnswer: -312*a*y**2 + 300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2044, -2791, -3536, -4279, -5020, -5759?\n\"Answer: b**2 - 750*b - 1295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/28 and 69\/700?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15*b**3 + b**2 - b. Let w(r) = -29*r**3 + 2*r**2 - 2*r. Let a(k) = 3*w(k) - 7*z(k). What is the lowest common multiple of 15 and a(1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from uuuquunuquuumsd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.88 + 160.88. Let l = -159.000096 + f. Round l to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - -2) + -3 + -1. Suppose d*t - 21 = -9. Suppose 0 = 2*z + 4, 0 = -5*w + z - t*z + 200. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*(1 + 2). Let g(q) = -2*q**2 - i*q**3 + q - 2*q**3 - 3*q + 3*q**3. What is the units digit of g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3430 (base 8) to base 12\nAnswer: -1074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 - 118 - 89 - 4*t + 518 - 96.\nAnswer: -4*t + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**3 + 4*h**3 + 8*h**3 + 0*h**3 + 13*h**3.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -38473*z**3 + 2*z + 1. Let o be r(-1). Let x = o + 23223. Suppose -x = -l + 38305. What is l rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 4)*(0 + 0 - 2*r**3) + (4*r**2 + 0*r**2 - 6*r**2)*(645*r + 152*r - 225*r) + 2*r**3 - 2*r**3 + 2*r**3.\nAnswer: -1140*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43710?\nAnswer: 2, 3, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 138\/30 + 9\/(-15). Let k be j\/14 - 26\/(-7). Suppose -3*b = 3*g - 7*g - 175, 228 = 4*b - k*g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 bigger than -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 - 187. Let g = m - -100. Let q = 15 + -11. Solve q*f - 1 = g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917206 divided by 917206?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*o - 4170 = 85*o - 4*s, s + 1655 = 2*o. What is the greatest common divisor of o and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, m: 3, p: 2, q: 3, n: 3}. Give prob of sequence lnqp.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j - 25*j = 60*j - 390 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 j when three letters picked without replacement from njnjnljnnylglynnljjj?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191078310?\nAnswer: 2, 3, 5, 191, 33347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 364990\/45 - (-13)\/117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -14 + 5 + (-7 - -20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b - 1. Let z(u) = -5*u - 3. Let d be (-4)\/2 + 3 - 4. Let h be z(d). Let r be (-3)\/h + 18\/(-24). Calculate g(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 - 61. Let m = j + -69. Let b be (-25)\/(-10)*m\/(-5). Let n(y) = -6*y + 1. Determine n(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(3) - (sqrt(280)\/sqrt(5))\/sqrt(8).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**4\/8 + t**2. Let r(a) = -a. Let d = -47 + 47. Let o be (-175)\/70*(d - 8\/5). Determine o*h(z) + 11*r(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 5*w - 51*w - 5*w.\nAnswer: -52*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)\/q**5)\/(q**(-8)\/(q\/q**9)) assuming q is positive.\nAnswer: q**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + 2 + (-26 - -28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2339 smaller than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -100\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 - -126. Solve 5*g - 4*q - 10 = 0, -s*q = 2*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1348)\/(-4381) + 8586\/234.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1243*x - 1230*x + 13 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1209036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**1*u))**3\/((u\/u**6)\/(u*u*(u**2*u)\/u*u))*((u**(5\/2)\/u)\/u**1)**(2\/35) assuming u is positive.\nAnswer: u**(351\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8903 and 19313984?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6346.7 + -6346. What is the biggest value in -1, i, -3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 7*p**2 - 8*p + 9. Suppose c = -0*c + 8. What is the units digit of w(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*(-10)\/3. Suppose r - 2*u = 4*r - 3, -2*r + a*u = -2. Is 2 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*(-333)\/(-1776) + (-63)\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3*l - 5*l + l)*(-122*l + 364*l - 136*l) as z*l + t + n*l**2 and give z.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002021 + 10?\nAnswer: -10002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 605 - 4?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 23*u**2 - 40*u**2 + 25*u**2 - u + 15. Find the first derivative of w(r) wrt r.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 0.042.\nAnswer: -0.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1\/6 (c) 2 (d) -16.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76910\/(-2038115)*((-2)\/2)\/(-2*2\/2).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117508 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 360 = 2*j. Suppose -b = u - 36, 104 = 3*b - 63*u + 67*u. What is the greatest common divisor of b and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 + w - 345. Let x(y) = 7*y**2 - 3*y + 690. Give -5*f(c) - 2*x(c).\nAnswer: c**2 + c + 345","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*a + 216 = 0, 2*a = 3*a - 4. What is the highest common divisor of f and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 14*y + 84. List the prime factors of d(0).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3191531 is divided by 52.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13999 - -14007. Let m = 23 - 43. Let z = m - -28. What is the greatest common divisor of l and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -48*j + 78. What is g(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 5:52 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (0 + sqrt(171) - (sqrt(931) + 0))**2 + (6*sqrt(57)\/sqrt(3))**2 + 4.\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/4)\/(4\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (12 + 1)\/1. Let n be 2\/(-8) + 594\/72. Let a be 7*-11*(n - 9). Calculate the greatest common divisor of a and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3 = 2*l - 2*v, 0 = -5*l - 3*v + 17. Calculate the lowest common multiple of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266976 and 81.\nAnswer: 266976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040.5 - -0.049755?\nAnswer: -1040.450245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5*p - 265, f - 3*p - 35 = 30. Suppose -f*z - 12 = -57*z. Calculate the remainder when 21 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 559288, 559285, 559282, 559279, 559276, 559273?\n\"Answer: -3*d + 559291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 6*c + 224. Let a be (144\/c)\/(2\/(-14)). Let t = a + 27. What is the remainder when 33 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 4*a**2 - a - 3. Calculate q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186037672 to the power of 1\/3, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2994882.\nAnswer: 2, 3, 11, 45377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2164*z**3 - 213*z**2 + 2125*z**3 + 7546*z - 7546*z + 213*z**2.\nAnswer: 4289*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(0 - (-2)\/4) + 35. Let t be 1\/6 - 51\/18*q. Let v = 790 + t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-6)\/1)\/(-42)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-5))\/6*50*60\/(-150)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 142 + 101 = 15 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125249.5*4.\nAnswer: 500998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 8:23 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b**2 + 17*b + 4. Let g(r) = -2*r**2. Determine f(g(k)).\nAnswer: 48*k**4 - 34*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*d = 48*d + 40*d - 6*d + 7761 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 - -114. Suppose -r*v = -2*v - 130. What are the prime factors of v?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.2, 4206, -3, 0?\nAnswer: 4206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-10)\/4)\/(230\/(-308752))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*o**2 - 2*o**3 + 39*o**2 + 2*o**3 + 4*o**4 wrt o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*t - 15, -6 = t - 4*j - 0*j. Let p = t - 1. Sort p, -1, 4 in increasing order.\nAnswer: -1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -22\/175, 2\/5, -3, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-4))\/((-3315)\/204))\/(55\/(-825))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y + 627 = 467 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*j - 1249 = -1817 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8245, 34042, 77033, 137218, 214597?\n\"Answer: 8597*j**2 + 6*j - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + 4. Let n = c - 20.7. What is the closest to 0.1 in -5\/3, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11310333140 - 32?\nAnswer: -11310333222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.37 - 0.37. Let k = p + 2. Which is the third smallest value? (a) k (b) -3 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 4:43 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*i**2 - 47*i**2 - 20*i**2 + (-2*i - 1 + 1)*(2*i - 3*i + 3*i).\nAnswer: -91*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4608 divided by -512\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (-15 - 23 - -45)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y - 4 + 4 + 0 as o + j*y and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1761, -1759, -1757, -1755, -1753?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -35.2042656662+0.69\nAnswer: -34.5142656662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000228229 to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t - 34. Let i be a(-7). Let j(b) = 6*b**2 + 5*b - 5. Let d(h) = h**2 + h - 1. Calculate i*d(m) - 3*j(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*c = -780, 6*s - 315*c - 1158 = -319*c. Sort 0, s, 10, 3 in increasing order.\nAnswer: 0, 3, 10, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.853327ms in hours?\nAnswer: 0.0000149592575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(-8*(-2)\/240).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3303548*j**2*r - j*r - j + 7*r + 11270 wrt j?\nAnswer: 6607096*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (17 + -14 - 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + (-5 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89029\/150 + 11391\/25. Let h = s - 1049. Which is the fourth smallest value? (a) 4 (b) -0.4 (c) -5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2804169029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 404080493, 808160988, 1212241493, 1616322014, 2020402557, 2424483128, 2828563733, 3232644378?\n\"Answer: z**3 - z**2 + 404080491*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 13*c - 18. Give f(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by -4017?\nAnswer: -95\/4017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*b - 425 = 301. What is the highest common divisor of b and 3553?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20082, 20087, 20092, 20097, 20102?\n\"Answer: 5*w + 20077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342789 is divided by 1082.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 + 146. Calculate the least common multiple of 158 and 2 - d\/10 - (-76)\/10.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5864127, -11728256, -17592385, -23456514?\nAnswer: -29320643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z. Let s = z - -4. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 1. Let k be h(-2). Let n be (-44)\/(-3)*k\/2. Suppose -2*w = -4*w + n. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**4 - 15*n**3 + 5*n**2 + 15*n = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 + 7*v + 30. Determine s(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 42*g - 463200 = 0. What are the prime factors of g?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 404.02.\nAnswer: -40.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0 - 7\/6*m**3 - 1\/12*m**4 - 58*m + 2*m**2. Give x(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**4 - 16*v**3 - 6*v**2 - 2*v + 2. Let z(i) = -i**4 + i**3 + 2*i + 1. Let f(o) = -n(o) - 6*z(o). Let f(c) = 0. Calculate c.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 2)*(3 + 3 - 5) + (1 - 3 + 0)*(3 - 4 + 5))*(-o**3 - o**3 + o**3).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -749575*j**3 + 1 + 30*j**2 + 749573*j**3 - 4*j**4 + 3*j**4 in the form t*j**4 + n*j**2 + r + y*j + m*j**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 209 and 27.\nAnswer: 5643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/5 + 28*a**2\/5 - 66*a\/5 = 0.\nAnswer: 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, x: 3, k: 2, q: 5, c: 2}. What is prob of picking 1 f, 1 k, and 2 c?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 15, -3*w = -6*w + 2*t + 76. Let v(m) = -m**3 + 23*m**2 - 19*m - 65. Let k be v(w). Is k at most -4\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2 - (-30)\/(-9)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*j**2 - 2*f**3*j + 51*f**3 - 22164*f*j**2*v**2 - 25*j*v**2 + 4*v**2 wrt j?\nAnswer: -2*f**3 - 44328*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5 + 20*u**4 + 295*u**3 + 890*u**2 + 1060*u + 440.\nAnswer: -5*(u - 11)*(u + 1)*(u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.5 and 0.1501315.\nAnswer: 1.12598625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o. Suppose -2*v + 2291 = 3*v - 4*k, 0 = -3*v - 2*k + 1357. Let l(z) = 2*z - 105. Let b be l(61). Let c(d) = -v + 455 + b*d**2. What is n(c(q))?\nAnswer: -34*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6928*u + 5148 = 3513*u + 3481*u for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 22*g. Let x(c) = 550*c. Let r(z) = -99*a(z) + 4*x(z). Let n be r(10). Calculate the highest common factor of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2544 - 1454. Does 27 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let o(u) = 23*u**2 - 13*u**2 - 5*u**2. Let k(v) = -1. Let n(c) = c**2 + 3. Let x(h) = -3*k(h) - n(h). Let r(b) = o(b) + 4*x(b). What is r(f(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 18 + 86 = 5*d, 0 = -3*d - 3*z + 30. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) -0.14 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 418990?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*951\nAnswer: -2853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*h - 588*h = -160 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-4.64\nAnswer: 0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 289000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 40.14. Let a = 1.140214 - g. What is a rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 26*x - 112. Let d be g(12). Let y(u) = 11*u**2 + 5*u + 5. Let v(r) = -16*r**2 - 8*r - 8. Determine d*y(n) + 5*v(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 42 = -138. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (1 - 0) - 2) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001110 + -111?\nAnswer: 101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 2*x - 5*x - 7*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, i: 3, h: 3, y: 5}. Give prob of picking 1 y, 2 m, and 1 i.\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 1269 + 711. What is the highest common divisor of b and 648?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/(-208)*146\/(-18)*-1 and -75\/8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**2 + 16*k**4 - 49*k**4 - 8*k**5 - 3*k - 4*k + 6*k**5 wrt k.\nAnswer: -120*k**2 - 792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2221 divide 53081900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 7*t + 6. Let i(v) be the first derivative of -v**3\/3 + 2*v**2 + 3*v + 4. Let w be i(3). Let g be h(w). What is g rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1474*m + 3666*m - 1556*m + 2*m - 4*m + 0*m + (5 + 1 - 5)*(-4*m + 2*m + 0*m) - m + 5*m - 5*m to q + s*m and give s.\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/24, -3, -5, -390349?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -395 - -418. Suppose 0 = -w*q + 46 + 46. Solve -2*r - q + 3 = -3*i, -3*r + 2*i = -6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -19*w**2 + 205*w - 4. Let r(c) = -19*c**2 + 195*c - 3. Let k(u) = 3*q(u) - 4*r(u). Find the second derivative of k(s) wrt s.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 6. Let c be b(3). Put -5, c, -4, 2 in increasing order.\nAnswer: -5, -4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13073 + -6286?\nAnswer: -19359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2.6. Let y = n + -5.6. Let p = 4.5 + -5. Sort -5\/2, p, y.\nAnswer: y, -5\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386858 less than 12.7658564?\nAnswer: 386870.7658564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1 - -6) + 162 + -139?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -310, -709, -1198, -1777, -2446, -3205?\n\"Answer: -45*y**2 - 264*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 4*t = -116, -2*t - 6 = 0. Let u = -5 + h. Calculate the smallest common multiple of 4 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 9:23 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 22*r + 45. Let g be w(-24). Let s be (-168)\/(-24)*g\/(-7). Which is the second smallest value? (a) -1 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8892 and 198?\nAnswer: 97812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 9*i**2 - 10*i - 3. Let z(m) = -5*m - 5. Let j be z(-5). Suppose -7*t + 3*t - j = 0, -2*q = -t - 17. What are the prime factors of s(q)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8116307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 6. Give j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154\/45 + -32\/9. Let l be (-3)\/(-2)*(-4)\/(-9). Which is the nearest to 0.1? (a) u (b) l (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*k + 436, -5*q + 9*q - 872 = 4*k. Let w = 3 - 3. What are the prime factors of q\/6*(w + 3)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88, 305, 586, 865, 1076?\n\"Answer: -11*u**3 + 98*u**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1100 and 505850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -293*d - 1302. Is j(-55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 11*j**7\/105 + 5*j**4\/24 + 8*j**2. What is the second derivative of r(b) wrt b?\nAnswer: 264*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 666, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-3)\/(-2)) - (-354)\/9. Is 20\/4 + d\/1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/27)\/((-2)\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**6\/36 - b**5\/40 + b**4 + 11*b. Let j(m) be the third derivative of w(m). Does 13 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l - 152. Let d be m(22). Is (23524\/(-8))\/(-1) - (-12)\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 116. Let w(p) = -7*p + 17. Give w(q(z)).\nAnswer: 14*z - 795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 494 - (20 + (-17 - -7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**3 - 7*b**2 + 8*b + 3. Is i(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14674088*v**4 - 24*v**2 + 19242*v + 5?\nAnswer: -352178112*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332671, 665353, 998035, 1330717?\nAnswer: 1663399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 2194?\nAnswer: 46074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4273 is divided by 1039?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m*u**3 - 620*m*u + 1438975*u**3 + 16664*u wrt u?\nAnswer: -24*m*u + 8633850*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3465322?\nAnswer: 2, 7, 127, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*m + 930*m = 21164 + 77366. What is the greatest common factor of m and 48262?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -465 + 573 - (28 + -30)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 15*k**2 - 44*k - 55. Calculate z(-7).\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 150 = 2*y, 0 = 16*q - 13*q - 12. Solve -24 = y*k - 73*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-6))\/((-21)\/108). Let x = -65\/28 + v. Factor 1\/4*t**3 + 1\/4*t**4 - x*t - 1\/4*t**2 + 0.\nAnswer: t*(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2277 and 693.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(99)*-2 + sqrt(99) - sqrt(99) - sqrt(99))\/(sqrt(108)\/sqrt(1452)).\nAnswer: 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2.13, -0.4, 4.\nAnswer: -0.4, 2.13, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -12*v**2 - 28*v + 16. Let x be f(-10). Let u = 1320 + x. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34404 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 + 1.4. Let j = 1 + -2. What is the nearest to -2\/5 in k, -3\/7, j?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uujuuuuuduuuddu. What is prob of sequence juu?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:32 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1199 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*c + 271 = 0, 4*l + 2*c - 218 = c. Suppose -4*k + l = k. Calculate the highest common factor of 55 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*b*q**2 + 3*b - 406*q**2 wrt b?\nAnswer: 8*q**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1190)\/80) + (-10)\/(-80)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7 = 8. Let q = -2351\/92 - -720\/23. Which is greater: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q - 52 = -2*h, 2*q = -2. Let k be (9 + -4)*1*h\/(-5). Find the common denominator of (62\/21)\/(-2 + k\/(-18)) and 19\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + 2*t - 1. Let w be b(1). Let k be (3 - 4)\/(w\/26). Suppose -2*j + 32 = -k. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5502*v + 648*v + 1229*v.\nAnswer: 7379*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401601 (base 8) to base 10.\nAnswer: 131969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*n - 3*s = -141*n + 10, -2*n = 2*s + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 56474a?\nAnswer: 56474b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151233 - -11?\nAnswer: 151244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 543325999*l**6*p**2 + l**2 + 178789628*l*p**2 + l wrt l.\nAnswer: 65199119880*l**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317982 divided by -105994?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134387473, -134387478, -134387483, -134387488, -134387493?\nAnswer: -134387498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-28 + -7 + 8 + -5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*a = -16 + 2, 3*a = 4*u. Let b(f) = -3*f - 1. Let d be b(-1). Solve 2*m = 5*v + 19 - d, -5*v - u*m = 37 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -4, 40, 2, -2 in decreasing order.\nAnswer: 55, 40, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*j - 8932 = -168*j - 1290 + 6756 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 1032 = -9*g. Suppose 0*j + g = 3*j. What are the prime factors of j?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 10b?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (34\/5 - 7) + 322\/(-90). Are -3 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*m, 0 = v - 2*m - 10 + 2. Let f be 5 + -5 + v\/1. Suppose g + 4*p = f*g - 137, 3*p + 171 = 4*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803 = -6*l + 777 - 1502 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 15*w**3 - 68*w**2 - 69*w + 113. What is a(5)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 10:01 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837?\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -16. Let y be 7\/3*n\/(-40). Suppose 79 - 47 - 58 = 13*m. Which is bigger: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h + 215 + 181. Differentiate -29 + 123 + h*k**2 + 81 - 2 with respect to k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-63)\/6*12\/(-7). Does 5 divide (-368)\/(-36) + (-4)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1148 + 10343\/9. Let s = -65 - -145. Calculate the common denominator of (-45)\/s*(-200)\/6 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**5\/100 - 3*q**4\/5 - 72*q**3\/5 + 45*q**2\/2 + 3*q. Let p(u) be the first derivative of t(u). Find f such that p(f) = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 2\/1 - -124. Let c = 9 + -5. Let m be (-3 - (-39)\/6)*c. What is the greatest common factor of a and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 4*a**2 - 8*a - 3. Let o be d(-5). Let s(r) = 5*r - 1. Let b be s(-1). Let v = o + b. Solve -v*n = -n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*t = -95*t + 56, 10*n = -22*t + 258 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 45 = -2*j - 3*j, -2*g = -2*j - 2. Let f = -339 + 334. Let x be (-3 - f) + 50\/(-10). Sort j, -5, x in decreasing order.\nAnswer: j, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 86 + 12*a**3 + 46.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Let g = h + 4. Let d be 13\/((-91)\/(-14)) + (-42)\/22. Which is the third biggest value? (a) d (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 2*s**3 + s + 4*s**4 + 6*s**3 - 5*s**3 - 2 as r*s**2 + x*s + u + f*s**3 + v*s**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1216 - 1184. Calculate the smallest common multiple of g and 132.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 - 142*r + 758. Let k be m(29). Let f = 0 + 6. Solve f = k*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -131.211?\nAnswer: -524.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 l, and 1 j when four letters picked without replacement from {y: 7, j: 9, l: 2, h: 1}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78997619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4648 + 9281 - 4646 - b**2.\nAnswer: -b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let g(s) be the third derivative of -s**4\/6 - 2*s**2 - 45. Determine g(n(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/4502 and -31\/2112.\nAnswer: 4754112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 + -0.41. Let g = 6.71 - w. Let z = -2 + g. What is the third biggest value in -3\/2, z, 0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 80*v**3 + 3*v**2 + 6*v + 6. Let l(o) = -247*o**3 - 10*o**2 - 19*o - 20. Calculate 10*b(s) + 3*l(s).\nAnswer: 59*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggkgccgk. What is prob of picking 3 g and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m\/(m\/(m*m*m**6))*m)\/m))\/m)\/m**0)**32\/((m\/m**(-2\/5))**(-1\/3))**32 assuming m is positive.\nAnswer: m**(-3616\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(165\/(-12)))\/(184\/(-460)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/1680 + r**6\/240 + r**5\/80 + r**4\/12 - 2*r**2. Let z(w) be the second derivative of m(w). Determine x so that z(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 17957560*d - 80618490288400.\nAnswer: -(d + 8978780)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f - 1. Let n(m) = -10*m**2 + 26*m + 10. Give 12*i(y) + n(y).\nAnswer: 2*y**2 + 14*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 23*l**2 + 23*l - 24. Let v be w(-24). Solve v = -14*s - 35 + 63 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 24 - (-4 + (-10 - -4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-3)\/168*10))\/(24\/(-60)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.501 to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 + -247 + -109 - (2 - (0 + -68))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -10, 10, 68, 182?\n\"Answer: 3*j**3 - 8*j**2 + 3*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -74 (b) -983893 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/((-126)\/4) + (-793)\/(-117). Let n(d) be the first derivative of f + 0*d - 2*d**2 + 1\/2*d**4 + 2\/3*d**3. Factor n(o).\nAnswer: 2*o*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 524979, 524981, 524983, 524985, 524987, 524989?\n\"Answer: 2*j + 524977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -224\/13, 51, -1\/7?\nAnswer: -224\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 1424*u**2 + 1426*u.\nAnswer: -2*u*(u - 713)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (29 - 56) - -30?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 20. What is the least common multiple of 2 and (-128)\/g - 3\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -135*a**3 + 2660*a**2 + 10585*a + 10555. Let h(p) = -28*p**3 + p - 1. Let f(i) = g(i) - 5*h(i). Let f(s) = 0. Calculate s.\nAnswer: -528, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 42?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*u = -133*u + 140. Suppose -c + 147 = 2*p - 76, -3*c = 3*p - 336. Let x be p - 3 - (-1 + -1). What is the greatest common divisor of x and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12088747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131057 and 26843.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/4 or 28\/71?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3869456 + 5857041. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555917404 to the power of 1\/2, to the nearest integer?\nAnswer: 23578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4003 (base 5) to base 9.\nAnswer: -618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 5 + -1 + 130. Suppose i = 4*v + c - 5*c, -156 = -5*v + 2*c. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66103 = 1232*d + 11895 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 5*u - 2*u)*(-2*u**2 - 257*u + 257*u - 12).\nAnswer: -2*u**3 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by 6382\nAnswer: -70\/3191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 777700433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*f**5\/6 + 392*f**4\/3 - 4174*f**3\/3 + 3432*f**2 + 12960*f - 1152 = 0. Calculate f.\nAnswer: -2, 2\/23, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3809023 and 0.4?\nAnswer: -0.15236092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 136c + 93?\nAnswer: 13ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 2. Let d = -9 - v. Solve d*m - 3*m = -15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -4206?\nAnswer: -4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 392.6 + -394.6. Which is the fifth biggest value? (a) -5\/6 (b) 2\/11 (c) 4\/5 (d) z (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 925 and 759905075.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 24. Is v(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q + 0 - 14\/5*q**5 - 25\/8*q**4 + 12*q**2 - 2\/5*q**6 - 3\/2*q**3. Factor p(l).\nAnswer: -3*(l + 3)*(4*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -12. Solve 0*p + 21 = 5*c + p, -2*c = -l*p - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnnnnns. Give prob of sequence nsn.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 1\/4*z**2 + 225\/4 = 0.\nAnswer: -75, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/5, 5, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - v = 13, -g + 3*v - v + 14 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*1*3)\/sqrt(10))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 10*r**2 + r - 2. Let p be f(10). Suppose -k + 20 = -p. Calculate the common denominator of -15\/22 and (-35)\/k*(-6)\/(-45).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 20*d - 2. What is the units digit of a(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-55) - (-23)\/(-20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 273 - 16 + 10 + 79*c**2 wrt c?\nAnswer: 158*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q + 9. Let i = 5 + q. Let k be i\/(-4) - 25\/(-30). Which is greater: -4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2355 (base 6) to base 5\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 488675734 + -488675625.99999975. Let h = f - 108. Round h to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, 4, 45?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.73 and -42501211215.\nAnswer: -42501211211.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26224 divided by 13112.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 800\/75*(-3)\/(-4). Let x(s) be the third derivative of s**4\/24 - s**3 + 2*s**2. Calculate x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 14. What is the closest to -0.1 in -3\/4, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbxbbbbxbxbb. What is prob of picking 2 b and 1 x?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.384? (a) -1\/3 (b) 26\/11 (c) 2\/23 (d) 0.2 (e) 12\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7704, 15406, 23108?\nAnswer: 30810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 x when three letters picked without replacement from mmedmeeeeeezdezxeex.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -50. Suppose 3*a - p*a + 131 = 5*q, 0 = 2*q + a - 53. What is the remainder when q is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l\/(l**(-3\/2)\/l))*l*l*l))\/l**(-3)*l**(2\/15)*l**(2\/3)*l*(l**(1\/3)*l)**(-3\/5)*l**(3\/2)*l*l*l**(-1\/4)*l assuming l is positive.\nAnswer: l**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = -792. Suppose -f = -3*z + 2*j, 5*j + 801 = -3*z + 6*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*a**3 - 30*a**3 - 26*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.14, 5, -4 in decreasing order.\nAnswer: 5, 0.14, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.61*0.268478\nAnswer: -0.16377158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/4 and 103\/255510?\nAnswer: 511020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4609220 by -10220.\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003963415158 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 461*a - 16 wrt a.\nAnswer: 461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**(4\/7))\/w))**(-2\/179)\/((w*w\/w**(-2\/119)*w)\/(w**(-2\/5)*w)) assuming w is positive.\nAnswer: w**(-259272\/106505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 13) in base 6?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**3\/3 + y**2\/2 - 9*y + 7. What is s(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*b + 1192685 = 158*b + 4*g, 4*g - 477062 = -2*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6414 + -15?\nAnswer: 6377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/2 + 6*x - 18 = 0. What is x?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 1. Let x(a) = -a - 1. Let j(q) = 3*g(q) - 2*x(q). Let b be j(-6). Suppose -c - 5*u - 7 = 0, -2*u + 4 = c - 1. Solve -c - 7 = -b*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16044 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -3*l - 16. Suppose 5*k - l*h = h - 5, -h = k + 7. What are the prime factors of 136\/14 - k\/14?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20896 is divided by 995.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 36, 49, 66, 93, 136, 201, 294?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 4*l**2 - 26*l + 80. What is the lowest common multiple of j(4) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.1 take away -422965?\nAnswer: 423265.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 74*i**2 + 72*i + 233. Determine x(75).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 256 - 177. Calculate the remainder when d is divided by 9\/6*-2 + 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6039668 millennia to decades.\nAnswer: 60.39668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in 4, 2\/3, 5, -4283\/8, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.2. Which is the closest to v? (a) 0 (b) 2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 7*w**2 - 6*w + 1. Let v be ((-3)\/(-2))\/(-2*(-1)\/(-8)). Let u be m(v). Let k be 3\/12*-2*-10*u. Solve r + 4*r = 4*p, -p = -k*r - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5159372604 to the power of 1\/2, to the nearest integer?\nAnswer: 71829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 2*i + 14, -4*o - 11 = -3*i + 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 + 2905.9.\nAnswer: 2949.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*k + 3*k + 20, -k + 10 = -m. Let x = -19\/2 - m. What is the second biggest value in x, 5, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -12. Let l = -25.4 + 17.4. Let x = l - y. What is the nearest to x in 0, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.06, -4, -37.2786, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - q**3 + 2*q**3)*(-5 + 5 + 2) - 265*q**2 - 44676 - q**3 + 44676.\nAnswer: q**3 - 265*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1389515 to four dps.\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-16)*4 - (-2)\/(-1). Suppose 0 = 3*v - 12, 0*m - o*m + 2*v + 42 = 0. Solve 0 = m*f - 5*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 202, -384, -832, -1094, -1122, -868, -284?\n\"Answer: 8*r**3 + 21*r**2 - 705*r + 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*w + 118*w + 129*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706722987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3320 is divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13133 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 37*o. Let w(l) = 5*l**2. What is w(j(m))?\nAnswer: 6845*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1783, 1880, 1975, 2062, 2135, 2188?\n\"Answer: -z**3 + 5*z**2 + 89*z + 1690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1735 = -2*b + 10235. Suppose 6*n - b = -11*n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 + -106. Suppose 0 = 7*g - 8*g - 1. Let l be (16\/10)\/(55\/z + g). Solve -2 = -b + 4*a, -3*a - l + 3 = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -540 - -380. Let u = p + 484\/3. Suppose -8 = 2*g + 4*a + 2, -2*a = -4*g + 10. Is u >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*v**(-1))**(2\/3))**(-7\/10) assuming v is positive.\nAnswer: v**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 642144*c**4 + 11*c**3 + 12433679*c wrt c?\nAnswer: 7705728*c**2 + 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*b = -2869, -4*z + 3*z + 1427 = 5*b. Let r = z + -821. Is 47 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948120168 to the power of 1\/2, to the nearest integer?\nAnswer: 54297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 795, -1999, -8375, -18333?\nAnswer: -31873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/18 and -61\/17112?\nAnswer: 51336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/10)\/((-2)\/(-30)). Suppose -b*m + 16*m = 105. Suppose 7*y + 4*f - 12 = 3*y, m = 5*y + 3*f. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(13 - 3) - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15433 + 1112*s + 1138*s + 15433 to z + y*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*s - 15*s + 178*s to the form j + x*s and give x.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -23. Let l = r + 5. Calculate the remainder when 27 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3054168 and 3276.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-50)*(r\/(r\/(r**(-5)\/r)*r))\/(r**(-3)*r*r))\/(r**(-1)*r\/(r*r**(-1\/8))*r)**(1\/2) assuming r is positive.\nAnswer: r**(703\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11b36 - 5?\nAnswer: -11b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-30) + (-3)\/18. Let d = -3.1 - -3. Let k = d - 0.1. What is the nearest to 1\/4 in 1\/4, k, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 7. Let s be 1\/(-3) + 32\/(-12). Let y be 1\/2*(3 - s). Let g be v(y). Solve 4*h - g = r - 2*r, h = -r + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 8:20 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 + 12*i**2 + 6. Let s(y) = -3*y**3 - 12*y**2 - 5. Calculate 4*g(a) + 5*s(a).\nAnswer: a**3 - 12*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 576\/(-2223) + 2\/13.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*l - 28, 5*l + 5*d = 122 - 7. Solve 3*v - z = z + 22, -4*z = l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 660 and 1248.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -917, -1851, -2785?\nAnswer: -3719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 140\/630*(-3)\/(-4). Let r = -12.07 - -12. Let v = -2 - 1. What is the third biggest value in v, j, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/63 - 3\/(-21)*-3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 127*v**2 + v + 54. Let a(b) = -24 - 48*b**2 - 74*b**2 - 36 + 5. Let c(g) = -3*a(g) - 2*z(g). Differentiate c(k) wrt k.\nAnswer: 224*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8239 - 650890\/79. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 59 + 11 = 0. Let u(j) = j**2 + 7*j + 5. Determine u(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 356492205?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 + 7*s - 24)*(197 - 207 - 307 - 1)*(4 + 0 - 1) to the form b*s + n and give b.\nAnswer: -6678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iix when three letters picked without replacement from liilixlxslyl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/325*15*-10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -109, -37, -29, 2, 13 in descending order.\nAnswer: 13, 2, -4, -29, -37, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -35. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.354836 litres in millilitres?\nAnswer: 4354.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (20 - 9) + 1 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvb. Give prob of picking 2 v and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**(-1\/19)\/k*k)\/k))\/k**19)\/(k**31*k*k*k**(1\/8)) assuming k is positive.\nAnswer: k**(-7611\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**6\/360 - p**5\/30 - p**4\/12 - 8*p**3\/3 + 3*p - 18. Let a(j) be the third derivative of m(j). Determine a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggaaa. Give prob of picking 1 a and 3 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605) - 3*sqrt(605)*-1 - sqrt(605)) + 3 + sqrt(605) + 1 + 6*(sqrt(605) + sqrt(605) + 4*(sqrt(605) + 1)))*-4)**2.\nAnswer: 394240*sqrt(5) + 15500544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:18 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 2.1. Let h = -0.36 - 1.34. Let b = h - w. What is the second biggest value in 0.3, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -5, -108520 in decreasing order.\nAnswer: 4, 3, -5, -108520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/(-330))\/(0 + 9\/(-30)). Find k such that 0 + r*k - 2\/11*k**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 3, r: 1, w: 1, h: 2, f: 8}. What is prob of picking 1 t, 1 r, and 1 h?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(5 - 2) + 2. Suppose -3*t - 10 + f = 0, 0 = -3*s - t + 4. Suppose 3179 = 5*r + s*j + 2*j, r - 2*j - 633 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.53 - 101.53. Let k = 101.00395 + s. What is k rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 5*h**2 + 8*h - 11. Suppose -11*u = -2*u - 36. Let t be s(u). Solve 3 = t*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 a factor of 66911583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 9*s = 4*s - 356, 2*w + 148 = 5*s. Find the common denominator of 91\/2 and 1\/4 + (-129)\/w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.04 - 12. Let q = 0.54 - a. What is the closest to 0 in -2\/7, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.09, -0.5, -3 in ascending order.\nAnswer: -3, -0.5, 0.09, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4405419 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 28*t - 54. Let k(c) = 23*c - 1. Let i = 32 - 31. Calculate the remainder when v(24) is divided by k(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1672, -1635, -1536, -1345, -1032?\n\"Answer: 5*j**3 + j**2 - j - 1677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1470978, -3 in decreasing order.\nAnswer: 1470978, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 701331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/44 and 121\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 5*o - 20, -4*r + 4*o + 1 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82944 = 148*o - 370*o + 141*o. Let r(h) = -h**3 - 5*h**2 - 4*h - 4. Let w be r(-5). Calculate the greatest common factor of w and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/54923 or 1?\nAnswer: 1\/54923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, 0.3, 5, -216 in decreasing order.\nAnswer: 5, 0.5, 0.3, -4, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/6 + 5*o**2\/6 - 6*o.\nAnswer: o*(o - 4)*(o + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-18) + (-2)\/3. Suppose 5*p + 2*h - 114833 = x, -p - 1193 = h - 24162. Let a = p - -5935. What is a rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 22. Let r = 21 + d. Solve -2*u + 5*n + r = -1, -u + n = 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*p + 8473 + 14342 = 0, 0 = -2*x - p + 9124. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4156 is divided by 100?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -16 (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1406 + 524 + 87 + 732 + 2552)*(4*j - 2*j - 3*j) to c*j + h and give c.\nAnswer: -5301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*z + 2655 = -1409 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**12\/n)\/n)\/(n**9\/n)*(n\/((n\/n**(-2))\/n*n*n))**45 assuming n is positive.\nAnswer: n**(-131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -11\/3, -18, -76?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-252)*6 - 78\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 28.8. Let j = -21 - m. Let d = j - -29. Round d to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10620735 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 3*a**2 + 2*a - 1. Let l(d) = -2*d**2 + 30*d + 35. Let v be l(16). Calculate x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/98*(59 + -3)\/7. Let z = 0.6 + 1.8. Let k = 2 - z. Put o, -0.1, k in decreasing order.\nAnswer: -0.1, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 1, -1, -44, -9 in increasing order.\nAnswer: -44, -17, -9, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqyy. Give prob of sequence yy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 482, 518, 574, 650?\n\"Answer: 10*i**2 + 6*i + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 6*u + 4. Let j be k(6). Suppose 3*z + j*x - 197 = 0, -66 = 2*z - 2*x - 202. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:53 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6676 + -409?\nAnswer: 6268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -76 (b) 5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4 + (-595)\/(-147)). Let s be (5 + 91\/w)\/((-34)\/(-6)). Which is the nearest to s? (a) 0.2 (b) -2\/5 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 659?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u + 14. Let c be l(-2). Let o(p) = -32 + 2*p - c + 60. Let b(m) = m**3 + 4*m**2 - m. Let i be b(-4). Calculate o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60929941, 60929944, 60929959, 60929992, 60930049, 60930136, 60930259?\nAnswer: 60930424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d + 65*d - 102 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -105, -143, -179, -213?\n\"Answer: t**2 - 41*t - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**3 - 344*i**2 - 4814*i + 3364.\nAnswer: -2*(i + 29)**2*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -11473226?\nAnswer: 13\/11473226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278 + 771*v**3 + 278 - 753*v**3.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 6*g + 5. Let f be 9 + -6 - -2*4. Suppose -2*u + f = -u. Suppose 2*j - 4*k = 4*j + 20, 2*j + k = -u. Determine p(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by 560.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, m: 7}. Give prob of sequence fff.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*(5 + (1 + sqrt(684))*3) + (4 + 1 + sqrt(684) - (sqrt(684) + 3*sqrt(684)*4))))**2.\nAnswer: -1404*sqrt(19) + 55573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5656056467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (-1)\/(1\/(-2)). Let a(j) = -j**2 - 5*j + 2. Let v be a(z). Find the third derivative of -2 + 3*c**2 + c**v + 2 wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/189 and 59\/56.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 249.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1524 + -147a?\nAnswer: -29a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q + 30. Let c = q + 7. Let g be (0 - 228)*250\/c. What is g rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1*8*4\/4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45101176.\nAnswer: 2, 5637647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6263895 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -301\/5 + 898\/15. Which is the third smallest value? (a) -3 (b) 1 (c) x (d) 1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41 and 68?\nAnswer: 2788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-71.13.\nAnswer: 71.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 8)*(j - 2 + 2)*(3*j**2 - 2*j**2 + 0*j**2 + (-j + 4*j - 5*j)*(-2*j - 3*j + 3*j) + 3*j**2 + 11*j - 11*j).\nAnswer: 64*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 1. Let x(s) = -23*s + 7*s + 10*s + 1 + 7*s. Let l(r) = -3*j(r) + x(r). Determine l(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14949*c**3 + 2*c + 2*c**2 + 50 - 4*c + 14948*c**3 in the form f + h*c**2 + g*c + m*c**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*y + 66 - 34 - 32 to z*y + r and give z.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) 0.08 (c) 4 (d) -1 (e) -227\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, 4528, 1\/6.\nAnswer: -4, -0.5, 1\/6, 4528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 13 + (9 - 7) + 3 + 2 + 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 7*z**2 + 4*z - 1. Let y be g(7). Let q = y + -12. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**5\/2 + 45221*d**4\/2 + 128095*d**3 + 256170*d**2 + 210956*d + 60272 = 0.\nAnswer: -15068, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2*f + 1. Let w(o) = -4*o**2 - 7*o - 2. Let i = 123 + -126. Let l(p) = i*q(p) - w(p). Let b(g) = 3*g**2 + 3*g - 4. Calculate b(h) - l(h).\nAnswer: 2*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62154495*r*x**2 + 372026*r - 411 wrt x?\nAnswer: 124308990*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 3, w: 1}. What is prob of sequence db?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(25\/14)*(6\/2)\/6\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17*k. Let h(x) = 845*x - 5. Determine h(d(v)).\nAnswer: -14365*v - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + 1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-50)*(-1700)\/(-1530).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 486*l**2 - 8*l - 4383. Let o(c) = 240*c**2 - 4*c - 2192. Let i(x) = 11*o(x) - 6*q(x). What is the derivative of i(a) wrt a?\nAnswer: -552*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - k - 57 = 3*q - 3*q + k, -8*k - 42 - 198 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -0.7, -51, 4\/3, -40, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:29 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1057 - 583. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 5. Let l be b(5). Let i(x) = -x - 4*x + 31 - x**2 - 28. What is i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i - 6*i - 61 + 48 + 3*i**2 - 34. Let v be h(7). Sort -1, -1.04, v, -2\/9.\nAnswer: -1.04, -1, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -304842820*o**2 + 548048897*o?\nAnswer: -609685640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 5703641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:25 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*-2 - sqrt(1377)) + 3)**2*6.\nAnswer: -972*sqrt(17) + 74412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p + 19 - 18 - 34 - 35 - 31 in the form h + a*p and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110100 + -1110010?\nAnswer: -1011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 13*m**3\/3 - m**2 + 2*m - 1711. Let w(g) = -209*g**2 + 33*g - 33. Calculate 33*r(p) + 2*w(p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/9 + 18*z**4 + 1178*z**3 - 33218*z**2\/9 + 208*z\/3 + 4920 = 0. Calculate z.\nAnswer: -45, -1, 2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 339042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 898373884*p**2 + 510565499 wrt p?\nAnswer: 1796747768*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9541824 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 844275426 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4438637, 17754511, 39947633, 71018003, 110965621, 159790487, 217492601?\nAnswer: 284071963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9*j - 4353 = -4303. Let l = -0.02 + -2.98. Which is the biggest value? (a) -2 (b) l (c) j (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4 = 2*u. Let b be 3\/15 + (-4)\/4. Is u at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p**2 + 3 + 10*p + p**3 + 3*p**2 - 4 + 2. Let v be q(-9). Suppose 4*j - v - 162 = 0. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 138753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000031025 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b - 9*b - 11*b - b + 24*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48.4 - -3.4. Is l != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 55 (b) 0 (c) 138030.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209 + -3551\/17. Sort -3, w, 0.4 in ascending order.\nAnswer: -3, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3402986372.\nAnswer: 2, 2549, 333757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-192))\/(22\/88)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1573) - (4*(sqrt(1573) - sqrt(1573)*-3))**2)*-5 + 6*(1*sqrt(1573) + -1 + sqrt(1573) + 1 + sqrt(1573) + 4).\nAnswer: 143*sqrt(13) + 2013461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(((sqrt(147) - 2*sqrt(147) - sqrt(147)) + 3)**2 + sqrt(147)) + (2*(6*(sqrt(3) + 0) + sqrt(3) + 0))**2).\nAnswer: -9 + 77*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22667509\/(-115056) - (-1)\/((-3)\/(-6)). Let g = c - -71438\/423. Let r = g + 390\/17. Find the common denominator of r and 109\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276*3\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 134546252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 318*d**5 - 495*d wrt d.\nAnswer: 6360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3985808?\nAnswer: 2, 23, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f. Let z = -250 - -250. Let v(k) be the third derivative of 0 + 0*k + z*k**3 + 1\/12*k**4 + 3*k**2. Give v(a(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 70 = -12*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 19.2. What is the nearest to -0.2 in u, 5, -3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3 - 3)*(-h - 3 + 3)*(-12 + 12 + 4*h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (-21 + (-27 - -53) - 131).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.5 + -0.5. Let v = p - -9. Sort -5, -0.3, v in decreasing order.\nAnswer: v, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 86 - 2*k**3 + k**3 - 86 to n*k**2 + a*k**3 + o*k + s and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -5*c - 3*n, -28 = -c + 6638*n - 6641*n + 32 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-542 - -160)*(-466)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {a: 3, b: 1, i: 2, x: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -y - 14, 13*i + 4 = 16*i + y. Solve 2*n + 10 = 3*p, -i*n + 1 = 4*p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7*-2)\/(-1 + 0). Let k = 34 - i. Calculate the highest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -362 (b) 3 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 5*g = m + 77032, -2*m = 5*g - 96303. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2185 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(1\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142.43 + 143. Let t = 3.43 + v. What is the closest to 4 in -0.2, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 154 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11189, -12450, -14561, -17528, -21357, -26054?\nAnswer: -31625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-2*1*sqrt(117) + sqrt(117) - sqrt(117) - 3*sqrt(117)*1)\/(-5*sqrt(225)*2))**2)*-6.\nAnswer: 261\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*l*r*u**3 + 22*l*r*u - l*r + 2*l + r*u**3 + 954*r*u**2 - 448*r wrt u.\nAnswer: -54*l*r*u + 6*r*u + 1908*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - 27\/(-2). Suppose -14 = -0*z - 2*z. What is the units digit of 38\/x - (-2)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) -84344 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -36.66\nAnswer: 109.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -8. Let y = 13 + g. Suppose -87 = y*j - 10*j. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321325 is divided by 45844?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -407610 to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/30 and 85\/24126.\nAnswer: 120630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6185010 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m + 1. Suppose 2*n = -n - 6. Let l be q(n). Suppose -3*g + 58 = l. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 224 + 0.02.\nAnswer: 224.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*x**3 - 313*x**3 + 1001 + 1006 - 439.\nAnswer: -x**3 + 1568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/5*(-12)\/14. Suppose 3*o = -6 - c. Let p = -0.05 + -1.95. Put -0.2, p, o in increasing order.\nAnswer: o, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-234) - -2*3428\/104. Let m(k) = 8*k - 15. Let g be m(10). Is b >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 640 = 81*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/12)*m*m\/((m**4\/m)\/m*m))\/((m**(1\/4)\/m)\/m**6) assuming m is positive.\nAnswer: m**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -667\/637531 or -1?\nAnswer: -667\/637531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, -53, -105 in descending order.\nAnswer: 104, -53, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + 2.01. What is the closest to 0.2 in 0.17, -2\/9, u?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.25 + 44.39. Let w = j + 0.86. Let t = -33.966 + w. Round t to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1418690550?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 105 + 1\/5*m**5 + 0*m**3 + 0*m**4 + 69*m - 6*m**2. What is the derivative of x(n) wrt n?\nAnswer: 4*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(-1\/7))**(-24) assuming h is positive.\nAnswer: h**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1154)\/(-3984) + 738\/54 + -14 and 61\/6.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6434 - 5686. What is the least common multiple of 748 and l?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, u: 2, h: 6, i: 1, o: 3, k: 5}. What is prob of sequence uu?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.019 (b) -0.0085 (c) 0.5 (d) -0.47 (e) 0.2 (f) 1 (g) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2679*j + 140*j**2 + 3*j**3 + 528 + 4*j**3 + 3215*j + 0*j**3 - 5*j**3 = 0. What is j?\nAnswer: -66, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5 = 0, 3*n + 63 = 3*y + 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -26. Solve 3*s - 3 = 3*p - 9, c*s + 6 = p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32261907*j**2*x**2 - 3*j**2*x + 2*j*x**2 - 4*j*x - 2*j + 16051*x wrt x.\nAnswer: -64523814*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/2 - 7707*r**2\/2 + 2414100*r + 78585000.\nAnswer: 3*(r - 1300)**2*(r + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.88? (a) -5 (b) 1 (c) 0.3 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646243.\nAnswer: 13, 49711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 26 - 17 + 8*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 + 19662\/(-565))*3\/6*-45?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -736, -1108, -1480, -1852, -2224?\nAnswer: -2596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 11. Suppose -11 = -a*i - 1. Calculate the remainder when 4 is divided by (2 + 0)\/(i\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162599?\nAnswer: 277, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/112)\/(((-240)\/42)\/(-2))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2 - 107*f + 479. Let b be d(5). What is the second smallest value in 0.14, b, -0.5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011110 (base 2) to base 10.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 - -66. Let g = y - -127. Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322705 is divided by 160080.\nAnswer: 2545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {y: 2, x: 1, j: 1, f: 1, o: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.065 + -1.935. Which is the third smallest value? (a) 38 (b) 3\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 13. Let r be 0 + 73 - (-3 - z). Suppose -4*f + 3*q = -r, -q = 4*f + 10 - 70. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-9)*p*p**18\/p*p assuming p is positive.\nAnswer: p**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36\/65 - -24\/13. Factor z*o - 2\/5*o**2 - 18\/5.\nAnswer: -2*(o - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 81054, 81058, 81070, 81096, 81142, 81214, 81318, 81460?\n\"Answer: v**3 - 2*v**2 + 3*v + 81052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 5704 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -6*v + 2*v. Calculate the greatest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - g - 36 + 81, 0*d - 3*d - 175 = -4*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45688719443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*g**2 - 9*g**2 + g**2)*(211*g - 203*g + 605*g + 93*g).\nAnswer: -2118*g**3 - 1412*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12452 - -58300. List the prime factors of t.\nAnswer: 2, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 11:44 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-z + 4*z - 2*z + (-4*z + 0*z + 2*z)*(-3 - 2 + 3)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. Let z(k) = 10*k**2 - 6. Let p(j) = -1. Let l(c) = 6*p(c) - z(c). Determine n(l(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -312, -1\/2, 15979?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 7. Let h be d(-6). Suppose -h*r = -0*r + 10. Let l = -63114 + 63119. Put 1, r, -9, l in descending order.\nAnswer: l, 1, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1335 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/12)\/((-5)\/(-15)))\/(93\/(-143964)*9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -25*i**3 + 17*i**5 - 18*i**5 + 352*i**2 - 512*i - 87*i**3 + 17*i**4 + 256 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 14*c - 3. Let r(i) = -7*i**2 - 2 + i**2 - i**3 + 8*i**2 + 3*i**2. Let x be r(2). What is the units digit of p(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -0.14\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s*s*s**(1\/2)*s*s\/(s*s\/(s**(-2)\/s))*s**(2\/9))\/(s**(-7)\/(s\/(((s\/(s*s\/(s**(2\/7)\/s)))\/s*s)\/s*s)*s))**43 assuming s is positive.\nAnswer: s**(58141\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/4 - (-6)\/8. Let q = -11990.7 + 11992.7. Sort w, -0.1, q, -16\/7.\nAnswer: w, -16\/7, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -14. What is the lowest common multiple of c and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/12507 <= 1887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let k = 6 - m. Solve 4*b + k = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 20974.\nAnswer: 125844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42589 - -42585. Sort 2, c, -116, 1, -14.\nAnswer: -116, -14, c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -229, -446, -663, -880, -1097, -1314?\n\"Answer: -217*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -743, -775, -807, -839, -871?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 12*k**2 - 21*k + 12. Let c be x(10). Suppose 2*q = -2*q - 4*s + 176, 0 = -c*q - 3*s + 90. What is the remainder when q is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 702 divide 542799036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135613686 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjjxjjkwjc. What is prob of sequence kcj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 = -2*n + 4*j, -j = -4*n + 5. Solve 2*a = -2*q - 3*q - 10, n = -4*q - 3*a - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 6\/11 (b) -1 (c) 1\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47771 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000405593 rounded to 7 decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q - 10*t + 13*t, -q + 5*t + 27 = 0. Solve -17 = q*o - 25 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 - 15 + 6*x + 21 - 102*x**2 + 106*x**2.\nAnswer: 4*x**2 + 6*x - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -49 + 28 + 6 - (-8 - -18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04203 rounded to three decimal places?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*g + 101*g - 200*g + 3*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63820 and 5080.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 4*g**2 - 10*g + 6. What is c(4)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**10\/r**(-4))**22)**(-19) assuming r is positive.\nAnswer: r**(-5852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149500?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Suppose 0 = -3*d + 5*d + 58. Let n = 32 + d. Solve u + n = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66737.79ns to minutes.\nAnswer: 0.0000011122965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89645 or 89621?\nAnswer: 89621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 2)\/(6\/12). Suppose u*l + l = -l. Suppose l*m + 3*v - 135 = -2*m, 4*m + v - 295 = 0. What is the highest common divisor of 50 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018625 - 160047394?\nAnswer: -160047394.018625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 24822.1 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1187 (b) -48 (c) -28 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -752508*w + 251156?\nAnswer: -752508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*p - 18 = 0, -14*a + 4*p + 496 = 452 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/8 + -1\/2. Put -2\/5, 2\/15, 4, l in decreasing order.\nAnswer: 4, 2\/15, l, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 28658 = -9*a - 28*a. What is the greatest common factor of 14 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r - 4702 + 1868 = -2098 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 5. Let n = -1 + 1.5. Let v = -310155.99 - -310156. Which is the third smallest value? (a) n (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31293582?\nAnswer: 2, 3, 5215597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by -298.\nAnswer: -44\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 153817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24468 + -24562.615. Let r = t + 94. What is r rounded to two dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1032 and 504?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 22 - 56) + 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times -452510.3\nAnswer: -1086024.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*s + s. Let h be (-1158)\/(-42) + (-3)\/s. Differentiate 6*m + h + 7*m + 0*m wrt m.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2947 and 1521915.\nAnswer: 10653405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53.869 + -0.131. Let w = -53.99999955 - b. Round w to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s = 404*s + 1472 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 16\/3*n**3 - 56\/3*n**2 + 16\/3*n + 4*n**4 + 4 = 0.\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 96. Let l be b(6). Suppose 3*f - 51 = -f - 3*z, 3*z = 5*f - l. Solve -6*j = -f - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24804, -49602, -74404, -99210, -124020, -148834, -173652?\n\"Answer: -2*s**2 - 24792*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/((-10)\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 203\nAnswer: 1\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202832888?\nAnswer: 2, 25354111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 266, 2\/11, 4 in descending order.\nAnswer: 266, 4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 2679.\nAnswer: 10716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/9)\/(2\/(-872))*3. Let g(u) = c - 1744 + 2*u + 0*u. Let r(m) be the second derivative of m**3\/2 + m. What is r(g(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 624 - 512. Suppose -2*r + y = 4*l, -6*l + 11*l + 55 = 2*r. Let t = 88 - -72. What is the greatest common divisor of t and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1805*i**2 - 563*i**2 - 2270*i**2 - 401*i**2.\nAnswer: -5039*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101010 (base 2) to base 12.\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.076.\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -106. Let r be (9\/6)\/((-3)\/(-8)). Sort z, 1, r in descending order.\nAnswer: r, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*(9\/36)\/((-297)\/(-528))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1142*i + 24002. What is x(-21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**2 + 27*h**2 + 33*h**2 + 28*h**2 - 123*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326 and 15404967.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j**(-2\/3)*j*j))\/j)\/(j\/(j*((((j\/(((j*j**(-3)*j)\/j)\/j))\/j)\/j)\/j*j)\/j*j*j))*(j**(-1)*j)**(-36))\/(j**2\/j**4)**17 assuming j is positive.\nAnswer: j**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62818173.\nAnswer: 3, 11, 71, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 7. Let x be u(3). Let t be x\/3 - (-2 - -1). Let z = -120.1 + 120. Which is the closest to z? (a) 3 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 55. Let a be v(-15). Let w(m) = 23*m + a*m - 78*m. Let i(p) = 3*p. Calculate w(i(h)).\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*b, 0 = -430*d + 432*d + 5*b + 46 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 30*z - 63. Let x be y(28). Suppose -4*a - f + x = 0, a + 15*f - 16*f = 165. List the prime factors of a.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*h*j*u**2 - 4*h*j + 536*h*u**2 - 200*j*u**2 + 2*j + 31*u**2 - 46*u wrt h.\nAnswer: 5*j*u**2 - 4*j + 536*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.025 (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = -5*n, 0 = -s + 3*n - 2*n + 3. Let z be 2\/((s - 1)\/48). Let t be (z\/10)\/((-6)\/40). What is the highest common divisor of t and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + 2 + -1*sqrt(425) + sqrt(425) + sqrt(425) + sqrt(17) + -1 + -3 + -2 + -5))**2.\nAnswer: -120*sqrt(17) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 16, 4, 1\/4, 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*l - 25, 2*j + 20 = 6*j. Suppose 2*x - 1 - 19 = -3*w, l*w - x = 55. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185203.\nAnswer: 71, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/3 - 2938*o**2\/3 - 11740*o\/3 - 3912 = 0.\nAnswer: -2934, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1805*u - 11584 = 2167*u for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -15, 5 in descending order.\nAnswer: 47, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1272, 5070, 11394, 20238, 31596, 45462, 61830?\nAnswer: 80694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/202? (a) 1 (b) -4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.11 + -0.21. Let w = l + 3.1. Let j = -481 - -480.8. Which is the nearest to 1\/3? (a) 0.5 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5195\/562 or 9?\nAnswer: 5195\/562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-5))\/2*10. Suppose 2 = -3*o - w. Let u(g) = 3*g - 15. Let f be u(5). Sort -5, o, f.\nAnswer: -5, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18498)\/(-21581) - (856\/(-14) + -2)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2529*m - 2778*m - 12948 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 o, and 2 s when four letters picked without replacement from osrrosrosrrorl?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9924.181ug to kilograms.\nAnswer: 0.000009924181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45, -19, 7, 33?\n\"Answer: 26*s - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*-0.018\nAnswer: -0.00378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059.4 rounded to the nearest 10?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 - 9*t - 14. Let w be a(-3). What are the prime factors of (7776\/w)\/1 + 2\/(-5)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**5\/20 - 17*s**4\/12 + 3*s**3 + 5*s**2\/2 + 112*s. Give f(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqrrrzqcqc. What is prob of sequence cqc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014358375 to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -12 - (2 + -2 - 4 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*o**4*r**2 - 67*o**3 - 3*o**2*r**2 + o**2 + 52*o*r**2 wrt o.\nAnswer: 360*o*r**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5725658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83*m**2 + 12*m**3 - 83*m**2)*(-3 + 3 - m) + 4*m**4 + 0*m**4 + 0*m**4 to x*m**2 + v*m**3 + h + k*m + i*m**4 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -13*v**3 + v**2 + 30*v + 28. Let r be a(-1). Solve w - 20 = -5*n, 0 = 11*n - 8*n - w - r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 25 - (247\/13 + -16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 2 + 2 + (-4 + 2*s + 4)*(2 + 1 - 1) - 2*s + 2*s - s + 2862 + 83*s - 2862 as i + h*s and give h.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n - 34*n = -4*w - 28, -3*n = 3*w + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 8*w**2 - 10*w - 9. Let o be a(-9). Solve 4 = u + 3*g, -2*u + o*g = -5*g + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g. Let v(o) be the third derivative of 173*o**4\/12 + 112*o**2 - 1. Give w(v(m)).\nAnswer: -1038*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6}. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201899?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (3 + -6 - 0) - (5 - 1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3255505301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f - 2*i + 930 = 0, -4*f + 732 = 4*i. Suppose -69*b + 85*b = -46*b + 2356. Calculate the remainder when f is divided by b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-4))\/1*420\/(-315). Solve 0 = 18*c - b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*r - 12 = 2*j, -8*r + 50 = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 88972.88m?\nAnswer: 88972880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d - 8 = 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97370511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 10*v**2 + 11*v + 7. Let j be n(-11). Suppose -3*h + j*h = 44. Solve -9 - h = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -10. Suppose -2*b + h*o + 9 = 3*o, 5*b = -5*o + 30. Suppose -5*q - 4*w = -18, 2*q - 3*q - w = -3. Solve -5*a = -b*a - q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173711 (base 8) in base 14?\nAnswer: 1918d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9227 - 27633 = -9*t - 3*r - 9214 - 9216, -2*r = -3*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 319\/29 + 288\/9.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 2*h + 1. Let z(v) = -5*v**2 + 7*v - 2. Calculate -7*s(q) - 2*z(q).\nAnswer: -4*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/747 and -62\/2739?\nAnswer: 8217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**3 + 2*t**2 - 6*t - 6. Let q be g(-6). Is q\/9*(-12)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*s = 2, 1 = -2*l + 371*s - 368*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144951.\nAnswer: 3, 19, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 + -113. Suppose -12*a + 486 = 3*d - p*a, -2*a + 2 = 0. List the prime factors of d.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 456*j - 5348. Calculate m(12).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6 - 417552858*h**4 - h**2 - 2*h - 3609665 wrt h?\nAnswer: -120*h**3 - 10021268592*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 7075.\nAnswer: -1\/1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 4 + 2)*(39*y - 43*y - 407 + 382)*(2*y + 4*y - 4*y) to the form d*y**2 + a + q*y and give d.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 123. Solve 18 - 53 = b*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5. Let m(n) = -1 + 5 - 3. Let o(j) = 4*m(j) + t(j). Let w(v) = -v - 2. Determine -5*o(a) + 2*w(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/((-3)\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from nnrnr.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -94, 4, -3, -4\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**6\/120 + 7*o**5\/20 - 5*o**4\/6 + 5*o**3\/6 - 264*o**2. Give d(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 0*y = 5*z - 25, -5*y - 5*z + 40 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 367 divided by -15\nAnswer: -367\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 10 (b) 4 (c) 1\/14 (d) 0.015 (e) 9.8 (f) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -7 - (-8 + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18498 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(5 + 0 - 4)*(-5*m**5 + 3*m**5 - 3*m**5).\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191211 is divided by 238143.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -170060 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1134.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -2*z - 3*z + f, -128 = -3*z - f. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4 (b) -1\/3 (c) 0 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.32 + 11.2. Let t = c - -2.12113. What is t rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 50*l**2 - 2990*l + 593. Give n(35).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10815 - 939.919.\nAnswer: -11754.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4311 is divided by 189.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12680 (base 10) in base 13?\nAnswer: 5a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*40\/(-595) + (-2)\/7. What is the second smallest value in 4, r, -2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 134 - (1 - 4)\/(-3). What is the greatest common factor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nssusnuuudduunuusuu. What is prob of picking 2 n and 2 d?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(272))**2 + 3.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 8:25 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**3*p**2 + 42*g**2*p**2 + 3*g*p + 27*p**2 wrt g.\nAnswer: 18*g*p**2 + 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 7:12 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3395)\/(-1127) - (-198)\/(-63).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = l + 7, -5*l - 20 = -3*a. Let i(u) = u + 1. Let r(j) = 4*j - 1. Let b(f) = 6*i(f) - r(f). Let m(z) = z + 4. Calculate a*m(s) - 3*b(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 38 = -5*t. What is the closest to 2\/7 in -0.4, 3, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 423883, 847763, 1271645, 1695529, 2119415?\nAnswer: 2543303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47.44 + -47.34. Let k = 1.8 + -15.8. Sort -3\/2, k, s, 0.3 in descending order.\nAnswer: 0.3, s, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1864, 1\/2, 16\/13?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 809 + -804. What is the third biggest value in -2\/5, 0, 3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -99. What is the third biggest value in -2\/7, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2 - f - 4. Let b(x) = 6*x**2 + 2*x + 6. What is 5*b(u) + 8*o(u)?\nAnswer: -2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 5*b**2 + 76*b + 456. Let r be s(-8). Which is greater: 290\/7 or r?\nAnswer: 290\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4466\/(-440)*((-55)\/(-77))\/(-5)*2 and (158\/6896)\/(2\/8)?\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrrvvr. Give prob of sequence vrr.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 + 1)*(4 - 3*d - 4) to i*d + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -0.3, 2074163, 0.2 in increasing order.\nAnswer: -5\/3, -0.3, 0.2, 2074163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -7 - -35 - 0\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -37372, -6, 4 in increasing order.\nAnswer: -37372, -6, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**5 - 626001*j**3*z**3 - 253*j*z**3 + 3*j*z - 14*j + 2*z**2 + 6*z wrt j?\nAnswer: -260*j**3 - 3756006*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 247 + -346. Let g = y - -169. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1155a (base 11) to base 4.\nAnswer: -10010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 2\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*q - 20, x - q - 7 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 1130789.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 891.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 6:43 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*k**4 - 1)*(624 + 6*k - 624).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 35626.\nAnswer: 35634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26315 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 1. Let f = -6 + 8. Let y(n) = n. Let s(c) be the third derivative of c**3\/6 + 13*c**2. Let v(d) = 2*s(d) + 2*y(d). What is f*v(k) + 5*b(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -3, -5, 0 in decreasing order.\nAnswer: 3, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Let s(t) = -4*t**2 - 1. Let l(b) = -b**2 + b. Calculate y*l(p) - s(p).\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -1344.\nAnswer: -268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137071 - -4.\nAnswer: 137075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/15 - 106*s**2 - 532*s\/5 + 3184\/15.\nAnswer: 2*(s - 796)*(s - 1)*(s + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9109.8 and 304?\nAnswer: -2769379.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9925.602 microseconds to milliseconds.\nAnswer: 9.925602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(1 + d**3 - 1) - 2*d**3 - 8*d + 3*d**3 + 7*d + (2 - 2 - 3*d**2)*(d + d + 0*d).\nAnswer: -4*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48780534 to the power of 1\/2, to the nearest integer?\nAnswer: 6984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 1800*n + 1797*n - 33 = 0, -17*c = n + 11 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -148*i - 20132. Give m(-136).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*b - 9, g + b = 2*b + 5. Suppose -5*v - 11 = -g. Let a be 11\/(-6) - -2*1. What is the closest to v in -2\/5, 3\/4, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 a factor of 1989959786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -15, -67, -167?\n\"Answer: -24*q**2 + 68*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b - 267. Let l be j(-21). Let s(d) = -d**2 + 5*d - 1. What is s(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -149*r**2 + 2082*r + 592997 wrt r?\nAnswer: -298*r + 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 3, -2, 15071, -4 in increasing order.\nAnswer: -4, -2, 1, 3, 8, 15071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13894 - -13945. What is the remainder when 5046 is divided by h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2 + 2*w + 1. Let h(n) = -11*n**2 + 5*n + 1. Let g(s) = -6*h(s) + 13*u(s). Is g(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1\/g)**(1\/11))**(-2\/17)\/((((g\/((g\/g**(-2\/5)*g)\/g))\/g)\/g*g)**(1\/3)*g**2\/(g*g**1\/g)) assuming g is positive.\nAnswer: g**(-1526\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 590352 or 6493870\/11?\nAnswer: 6493870\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 1\/120*w**6 - 1\/2*w**3 + 1\/8*w**4 + 1\/10*w**5 + 0*w - 8*w**2 + 0. What is f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*a = -251*a - 2*v - 6, 5*v = -a - 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -572971*b + 465510 wrt b.\nAnswer: -572971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 1.6061?\nAnswer: 0.96366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5564 divided by -750?\nAnswer: 2782\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**9\/756 + 3*d**5\/40 + 4*d**3\/3 - d**2. Let j(s) be the first derivative of p(s). Find the second derivative of j(m) wrt m.\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*j + 10 = j, -5*j + 35 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19692*0.16452.\nAnswer: -3239.72784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 8*g**2 - 10*g - 16. Let w be o(-9). Let r(l) = -2*l**2 - l - 19. Let v be r(w). Which is greater: -109 or v?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1328 + 1324 = 2*d, 0 = -49*u - 3*d - 6. Factor u*h**2 + 2\/7 - 1\/7*h**3 + 3\/7*h.\nAnswer: -(h - 2)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3328*x - 19220*x = -305687 - 1950391 - 179106 for x.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -96539.\nAnswer: -19307.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373676665?\nAnswer: 5, 41, 43, 42391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(5)*-2 - (sqrt(20)\/sqrt(4) + 2).\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/(-42) + (-120)\/84.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 538419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:28 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:41 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 + 115*d + 524. Calculate w(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -69, -2\/23, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4301766980 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.56 plus -161555?\nAnswer: -161553.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1194, 1190, 1186, 1182?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61734.36 millennia in centuries?\nAnswer: 617343.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/6448556 and 67\/58696?\nAnswer: 141868232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.350098504 rounded to five decimal places?\nAnswer: -1.3501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -283\nAnswer: 1\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.2. Let k = u - 0.2. Let h = -41 - -40.7. Which is greater: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8651*f**3 + 437*f.\nAnswer: -51906*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and -259593.\nAnswer: -259593.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -231, -229, -227, -225, -223, -221?\n\"Answer: 2*l - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 13. Suppose 0 = 43*m + 1611 - 8276. Calculate the remainder when m is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**3\/3 + 1106. Let w be -2 + 2 + (-6)\/(-3). Let q(g) = w - 3 + 1 + 3*g**2. What is q(s(a))?\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2041*b - 4449 + 61597 = 0 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(2\/90)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-2) - (-6 + 6). Let o = -18 + u. Suppose 0 = o*c + 3 + 1, 3*c = -2*g + 8. Calculate the remainder when 33 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeieeieeeei. What is prob of sequence eie?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 18, 17, 16, 15?\n\"Answer: -t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*k + 85*k + 16. Solve -2*h + 0*v - 4*v - 12 = 0, v + k = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 263 in 2\/11, -0.5, -16, 5, 4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 25*x**3 - 1. Give m(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -514 - -1029\/2. Let k = 138 - 970\/7. Which is the second biggest value? (a) q (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 v when four letters picked without replacement from vghvvasshvhhhhv?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 + 178. Solve -g = 3*n + n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15779, 14544, 13307, 12068, 10827, 9584, 8339?\n\"Answer: -g**2 - 1232*g + 17012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/253018859 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 + -2.5. Let s = 0.4 + k. Which is bigger: 6 or s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 936 + -640. Let k(t) = -296*t + 594*t - r*t. Let w(m) = 25*m**2 - 9*m. Determine k(w(p)).\nAnswer: 50*p**2 - 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -608, -2008, -4338, -7604, -11812, -16968, -23078?\nAnswer: -30148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.55? (a) -2 (b) 1 (c) 4 (d) 445\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/171 or -1?\nAnswer: -4\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-15)*3 - 1 - -4. Let d = -27 + 35. Suppose 0*z = b - 4*z + 1, -d = -b - p*z. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101110 (base 2) in base 15?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 1097.42.\nAnswer: 5487.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131d37 (base 14) to base 8.\nAnswer: -2405755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v - 1. Let f be s(1). Is 27 a factor of ((-24)\/(-14))\/(f\/238)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.8 + -9.8. Let y be (1\/(-6))\/((-2)\/(-4)). Let l be 1\/1 + 10 + 1067\/(-99). Which is the closest to 0.1? (a) y (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, -8, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z - 7. Let t be w(5). Suppose 0*j + j + t = 3*p, -j + 4 = p. Suppose -p = -4*x + 2*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/4, -0.5, -0.07, 0.2 in descending order.\nAnswer: 0.2, -0.07, -0.5, -27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1153*o**2. Let p(h) = -h**2. What is k(p(z))?\nAnswer: 1153*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:10 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 259 - 168. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 12 = 2*x - r + 8, 37 - 25 = 4*r for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**6\/10 + 29*p**5\/10 - 91*p**4\/12 + p**3 + p**2\/2 - 5132*p. What is the third derivative of v(h) wrt h?\nAnswer: -72*h + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 12. Let o be p(-10). Suppose -3 = -3*k + o*k. What is the nearest to -0.1 in k, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 7 + (0 - 2 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Let s be (-1 - -2) + (-8 - -14). Suppose -5 = -5*o, -2*l + s = r*o - 41. Calculate the smallest common multiple of l and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 8265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58625873 to the power of 1\/2, to the nearest integer?\nAnswer: 7657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001110101011101 + -100?\nAnswer: 10000001110101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 8 = -9*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10 and 61\/1636.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 8:04 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 772131816?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*z**3 + 760*z**2 + 11076*z + 3608 = 0. What is z?\nAnswer: -41, -22, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 38 = 2*s + 8*t, -4*s + 81 = -5*t. Let a(g) = 12*g**2 - 6*g. Suppose 0 = -18*n + 39*n + 105. Let c(h) = 4*h**2 - 2*h. Calculate n*a(v) + s*c(v).\nAnswer: -4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0 + 2. Let a(y) = -5*y**2 + 3*y**2 + 2*y**p + 2*y**2. Let b(c) = 9*c. Calculate b(a(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -152262 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-3\/5)*g**19*g)\/(g**(2\/23)*(g\/(g**(-25)\/g))\/g) assuming g is positive.\nAnswer: g**(-539\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -306871 + 3378256\/11. Let z = 243 - t. Which is the closest to 0.1? (a) -4 (b) -2\/27 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-400)\/(-15700)) - ((-810)\/(-80))\/(-27)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 292, 589, 888, 1189, 1492?\n\"Answer: u**2 + 294*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/4 and -107\/44093576.\nAnswer: 44093576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15398 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2 + 1 + 34*k + 4 to the form w + z*k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(38)\/sqrt(2) - (sqrt(19) - (sqrt(19) + 1 + 5)).\nAnswer: 6 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by (-84)\/7*((-9)\/(-2))\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/7))\/(f\/((f\/f**(-7\/2))\/f)*f))**(-32\/9)\/(((f*f**(2\/3)*f)\/f)**(-3)\/(f**0)**(1\/35)) assuming f is positive.\nAnswer: f**(-103\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 30*b**2 - 38*b - 206. Let z be o(-31). What is the closest to 2 in z, -5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16958881 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 1, b: 1}. What is prob of picking 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1 + 3\/(-18) + 1). Solve 3*s - 2*p + o = 0, 7*p - 2*p - 15 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1794, 3215, 4576, 5847, 6998, 7999, 8820?\nAnswer: 9431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.52. Let p = -0.08 + v. Let n = -2.6 - -1.6. Which is the second smallest value? (a) n (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 92*z - 306. Let p be y(-49). Let u = 11 + -19. Does 15 divide 226\/3 - (32\/p)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 1024 + 2 - 2*-1. Suppose -5*s = x + 232 - f, 4*s + 2*x - 636 = 0. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2736118 is divided by 75?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12*c**2. Let g(y) = -227*y**2 + 3*y. Let n(r) = 4*r**2 - r. Let x(h) = 2*g(h) + 6*n(h). What is f(x(o))?\nAnswer: 2218800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 - 124*d**2 + 866*d - 99. Give x(54).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 124724.1ns in microseconds?\nAnswer: 124.7241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 4*d + 7. Let p be v(4). Let g(n) = -n**3 + 8*n**2 - 8*n - 5. What is g(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxggxggxxxggxggxgxxg. What is prob of picking 1 g and 2 x?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - 20?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4.3*34\nAnswer: 146.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 19*x**3 - 10*x**2 - 20*x + 232. Let s(j) = 26*j**3 - 13*j**2 - 26*j + 309. Let u(l) = 8*s(l) - 11*w(l). Determine u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((384\/(-176))\/(-6))\/((-16)\/(-440))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*c - 192*c + 6 + 4 - 10 + 186*c.\nAnswer: 445*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37663 divided by 205?\nAnswer: 37663\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 507 and 157?\nAnswer: 79599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21504\/(-144))\/56)\/(0 + 1)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986026 is divided by 197182.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -q - 10*z + 1, -4*q - 29 = -z. Suppose -23 - 5 = -7*f. Sort f, -1, q in decreasing order.\nAnswer: f, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6*-19*(-2)\/(-18) and -35\/89.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/12 + 8*h**2. Let r(t) = 23*t**2. Determine r(v(q)).\nAnswer: 92*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2945\/8246)\/(5\/4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17786, 36393, 55000, 73607, 92214, 110821?\n\"Answer: 18607*s - 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174.879 - -0.121. Let t = 6838 - 6837.9. Which is the third smallest value? (a) r (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puzzpzpzzzzpzpzzp. What is prob of sequence zp?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*c = 22, 18*v + 5*c + 25 = 14*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*k - 4. Which is the biggest value? (a) 5\/2 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.218 rounded to one decimal place?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j + 1051 = -103*j + 6967. Let p = 76 - 18. Calculate the highest common factor of p and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -918 and 0.2.\nAnswer: -183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -790, -774, -758, -742?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - c**3 - 5*c**2)*(-4*c - 2*c - 2*c).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -292 or 4552?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*-2*-4 - sqrt(187)) + sqrt(187))\/(-5*sqrt(11)*-1)*2.\nAnswer: 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*z + 65*z = -105. Let j(c) = c**3 + 3*c**2 - 4*c - 1. Let h be j(-4). What is the second smallest value in h, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157940 not equal to 157940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 6*i - 6*i)*(-3 + 1 + 7) + (0 + i + 0)*(2 - 3*i - 2).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-3*4 - (sqrt(2057)*-2 + -5))**2.\nAnswer: -1100*sqrt(17) + 205725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4 + 29*r - 1 to a + s*r and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 11. Let x be c(-4). Suppose 2*t + 21 = -3*a - 11, -45 = 5*a - x*t. List the prime factors of (68\/a - -4)*-15.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = 4*k. Let w(g) = -16*g + 1 - k*g**2 + 1 + g**3 + 9*g**2 + 5*g**2. What is the remainder when w(-11) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*t**4 + 47*t**3 - 64*t**2 + 12*t.\nAnswer: -t*(t - 3)*(t - 2)*(9*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 + -97. Suppose h*v - 1734 + 232 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -156 + 8773?\nAnswer: 8616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = 3*g, 5*s + g + 3*g = 31. Let f = -638 - -639. What is the nearest to s in 1\/9, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1027 + 1024. Let p(a) = -89*a. Let b(w) = -44*w. Give t*p(x) + 5*b(x).\nAnswer: 47*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.815532 milliseconds in days?\nAnswer: 0.00000160666125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114*r + 114*r + 12*r**3 + (-2 + 1 + 3)*(-2*r**3 + 4*r**3 - 3*r**3) + 4*r**3 - 2*r**3 - r**3 - 6*r**3 + 4*r**3 + 4*r**3)*(-r + 0*r - r).\nAnswer: -26*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9a12 (base 15) to base 8\nAnswer: 77602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 912 and 465272?\nAnswer: 2791632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u = 44*u - 200 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*16\/12*(-7 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -63 - 87*n + 8\/3*n**3 + 2*n**2. What is the first derivative of a(b) wrt b?\nAnswer: 16*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*d - 3*d + 2*d to h*d + z and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 19 = l. Let h = 35 + l. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (36\/10)\/(-3))*(-11100660)\/370022\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-36) + -8*(-1359)\/432?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + -9 - (0 + -3). Let l be 5 + (2 - 2) + 0. Suppose 3 = d*r, -4*y + 0*y = l*r - 25. Solve 5*f = y*m - 10, 0 = -4*m + m + 4*f + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 384*g. Let c(a) = 27*a**2 - 2. What is c(x(b))?\nAnswer: 3981312*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-378)*12\/266?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -8*k - 28. Suppose -345*v + k = -347*v. Let j = 0.4 - 0.4. Which is the nearest to j? (a) v (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90423432 by 152.\nAnswer: -594891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287 divided by 41.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**2. Let c(a) be the third derivative of -a**5\/3 + 2*a**2. Calculate 6*c(z) - 17*w(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -27. What is the least common multiple of 1 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2560 = -34*f + 32650. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-6)*(-8)\/48\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3689*q - 55338. What is k(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 2*k**7\/21 - 8*k**6\/5 + 28*k**5\/5 - 2*k**4 - 58*k**3\/3 + 36*k**2 - 3*k + 30. Solve h(x) = 0.\nAnswer: -1, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161 - -163. What is the third derivative of -3*j**b - 2 - 8*j**6 + 105*j**6 + 9*j**2 + 2 wrt j?\nAnswer: 11640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450783 by -653.\nAnswer: -450783\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39568, -158225, -355978, -632821, -988748, -1423753?\nAnswer: -1937830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -16. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.42 and 5329868844?\nAnswer: 5329868849.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2*152\/(-95).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 70082 (base 10) to base 8\nAnswer: 210702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-9)\/(108\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27538340 to the power of 1\/2, to the nearest integer?\nAnswer: 5248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.59988 rounded to two decimal places?\nAnswer: -22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50059\/4 - 12588. Which is smaller: -72 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(704) - (sqrt(704) + -2))*6*3 - (sqrt(704)*-2 + -4 + sqrt(704) + 1)) + -5)*1)**2.\nAnswer: 544*sqrt(11) + 1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144214 + -1?\nAnswer: 144213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 713729.3 millilitres in litres?\nAnswer: 713.7293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -14*p**2 + 4831*p + 22. Let w(r) = -23*r**2 + 9660*r + 36. Determine -5*q(y) + 3*w(y).\nAnswer: y**2 + 4825*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -286. Suppose -5*o + 3*l + i = -249, -4*l = o - 68. Calculate the lowest common multiple of o and 3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - 12*d - 34*d + 9 - 13 in the form x + g*d and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from uuuunumnnvauvnu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72, -68, -54, -24, 28, 108, 222, 376?\n\"Answer: p**3 - p**2 - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12584)\/(-88) + 3\/3. What is the greatest common factor of 2208 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4986, 10070, 15154?\n\"Answer: 5084*l - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 286\/1715605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4 - 66*u + 5 + 5 + 1. Let n be r(-4). Suppose 0 = 7*y - 1 - n. Calculate the smallest common multiple of 12 and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 8. Suppose 4*r + 5*b - 516 = 0, 5*r - 5*b - 511 = 224. Calculate the remainder when r is divided by y(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 717710 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/225*(-20)\/(-6720)*60?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m**2 + 99. Let t(c) be the second derivative of c**3\/6 - 2889*c. What is i(t(b))?\nAnswer: 11*b**2 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 13. Let s(x) be the second derivative of 2*x + 0 - 1\/20*x**5 + 0*x**y + 1\/6*x**4 - 1\/6*x**3. Suppose s(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704626303.\nAnswer: 47, 113, 181, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 919381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379853.\nAnswer: 379853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 8. Suppose 2 = 10*h - 8*h. Let m(i) = -5*i + 6. Let k(q) = -q. Let n(w) = h*m(w) - 4*k(w). Let f be n(0). What is t(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 13*u + 73. Let i be t(-7). Determine v so that -3*v + 18*v**2 - i*v**2 - 3*v**3 - v**3 = 0.\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.278 and -0.159.\nAnswer: -0.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/30 - 3*w**2\/2 - 3*w. Let t(l) be the first derivative of m(l). Let x(z) = 2*z. Determine x(t(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947406?\nAnswer: 2, 3, 157901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (50 - (-2 + 17))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/(w\/w**(2\/11)))\/(w**(2\/21)*(w**(2\/9)*w*w)\/w)*((w**4\/w)\/w)\/w*w*w\/(w\/(w\/w**(-5\/3)))*((w\/(w\/w**5))\/w)\/(w**(-7)*w) assuming w is positive.\nAnswer: w**(5912\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 greater than 410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(4)\/sqrt(2) + 4 - (sqrt(20)\/(sqrt(40)\/sqrt(4)) + sqrt(2))) + -2*(sqrt(8)\/sqrt(64) - (sqrt(8) + -1)**2).\nAnswer: -7*sqrt(2)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -141*x**2 + 838*x + 1048. Give t(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 2*i**4 - 4*i)*(3 - 3 + 1 + 0 - 3 + 4 + (-2 - 2 + 2)*(-2 - 1 + 4) + 4438 - 482 + 6402 - 580).\nAnswer: -19556*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -297 + 67. Suppose 5*w = -0*l + 3*l + q, 0 = 4*w + l - 92. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnddnnnnnnnnnnn. What is prob of picking 2 n?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6142 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-10)*(-2 - -4). Let z be s\/2*-20 + -2 + 3. Does 19 divide z*(5 + -2)\/((-21)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -1729*i**3 - 5*i**2 + 4*i + 9. Let g be b(-9). Let x be g\/(-63) + 2\/14. What is x rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593893 is divided by 7918?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - (0 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*w**3 + 65*w**3 + 21 - 33*w**3 in the form c*w**3 + z + b*w**2 + k*w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/60 - s**4\/12 - s**2. Let a be f(-5). Suppose 4*x + 3*y = a + 2, -5*y + 1 = -2*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20545880839 and 2.\nAnswer: 20545880841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 9648?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/22 and -27\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 28 = 4*t, -5*v = t - 13538 + 13549 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/202 and 67\/351430?\nAnswer: 35494430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*p - 3*w, -4*p - w + 22 = -4*w. Suppose p*y + 3*d - 141 = 0, -6*y + 5*y - 4*d + 45 = 0. What is the smallest common multiple of 30 and y?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1825.1639 days to weeks.\nAnswer: 260.7377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1463 - 1463.3. Let l = 39 + -38.91. What is the nearest to 0 in -2, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m. Let z be c(1). Suppose -18 = -3*b - u, -6*u - 2 = b - z*u. Calculate the remainder when 20 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10494219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 15*q + 36. Determine o(-14).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 6:56 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -6. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 - 8)*(1 - 1 + 2*m) + (0 + 2 + 0)*(3*m - 2*m - 3*m).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.935436 rounded to zero decimal places?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 4*b + 4*b + (3 - 3 - 8*b)*(b + 2*b - 4*b).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 + 27*u - 144. What is the smallest common multiple of j(5) and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 14 = t. What is the common denominator of 68\/15 and t + -1 - 425\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(3 + -1))\/(-2). Suppose a*t - 26 + 6 = 0. Let i(h) = 15*h + 694. Let j be i(-46). What is the greatest common divisor of t and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -943*c + 30 = 5*f - 938*c, 2*c + 6 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*h**3*t**4 - h**3*t**2 + h**3*t - 5*h**3 + 42369*h*t**6 + 57*t - 8 wrt t.\nAnswer: 192*h**3*t + 5084280*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 3, 12 in ascending order.\nAnswer: -85, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5 (b) 0.2 (c) -2 (d) -7 (e) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 3 + 32*w**2 + 0 - 31*w**2. Let m be k(4). Let n(c) = 253*c**3 - c**2 + 1. Is n(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163581226 to the power of 1\/2, to the nearest integer?\nAnswer: 46514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/10))\/s)**(2\/33) assuming s is positive.\nAnswer: s**(-1\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8759*l - 8290*l + 3215*l + 8087*l + 9444*l)*(2*l + 2*l - 6*l).\nAnswer: -42430*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, s: 5, u: 1, m: 11}. Give prob of picking 3 s and 1 h.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6758461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 406, 1063, 2022?\n\"Answer: 151*g**2 - 98*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/5 (c) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23144 is divided by 288.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/6)\/((-32)\/(-6) - 5). Suppose 4*x = 3*x - 4*u + 22, -g*x - 3*u + 19 = 0. Find the third derivative of -a**x - 7*a**2 - 8*a**2 - 2*a**4 wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 317*d**2 + 166*d + 1281. Give r(-158).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.088812 rounded to 2 decimal places?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**3 - 17012*x**2 + 101928*x = 0.\nAnswer: 0, 6, 4247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1465105132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/6)\/(5\/3310). Let h = r + -8236\/5. Let u = -93\/10 + h. Which is the closest to 0? (a) u (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-190)\/(-133)*(2 - -33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2136*c - 72 = -2148*c. Let i(y) be the third derivative of 1\/480*y**c + 0*y**4 + 0 - 4*y**2 + 0*y + 0*y**3 - 1\/30*y**5. Factor i(l).\nAnswer: l**2*(l - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2180 = 72*n, 5*n - 10 = -p + 145 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -32 - 33 - 4*k + 5*k**2 + 3*k**3 + 70. Let z(f) = -4*f**3 - 8*f**2 + 6*f - 8. Calculate -8*b(a) - 5*z(a).\nAnswer: -4*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-140)\/378))\/(-3).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -230 - 50. Let r = -18405\/2 + 8941. Let o = r - c. Calculate the common denominator of 76\/9 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 12, 0.2, 2487, -4, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -2\/37 (c) 6 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21 + ((-3723)\/(136\/(-8)))\/(-11). Factor -a + 0*w**2 + 2\/11*w**3 - 14\/11*w.\nAnswer: 2*(w - 3)*(w + 1)*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -35*u**4\/4 - 400. Determine y(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + g. Let a(f) = -2*f**3 + 11*f**2 - 5*f - 6. Let t(y) = -a(y) + 2*s(y). Let l be t(3). Sort 2, -16, 3, l.\nAnswer: -16, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-11165)\/(-275) + -30\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -343 - -2397\/7. Suppose 6*f = 3*f + 3. What is the biggest value in f, n, -5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.35823 grams to kilograms.\nAnswer: 0.03335823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1*(1 + -2)). Let a(j) = -j + 6. Let t be a(6). What is the nearest to p in t, -3, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10976*r - 4 - 1 - 3870*r.\nAnswer: 7106*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Let a(d) = -p*d + 5*d + d. Let w(v) = -2*v**2 + 3. Let i(m) = 4*m**2 - 5. Let u(r) = -6*i(r) - 10*w(r). Give a(u(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 61, 2 in decreasing order.\nAnswer: 61, 2, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1233808, 2467611, 3701412, 4935211?\n\"Answer: -p**2 + 1233806*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*b + 7 = 0, 0*h + 4*h + 5*b - 5 = 0. Let o(w) = -8*w - w**2 - 4 + h*w - 4*w + 5. What is o(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15168 is divided by 1516.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*k**2*o**3 - 2*k**2*o**2*x - 4*k**2*o**2 + 2*k**2*o*x - 154*k**2*o - k**2 wrt o.\nAnswer: 198*k**2*o - 4*k**2*x - 8*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 547234 - -1001166. What is q rounded to the nearest ten thousand?\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 102 = 4*l. Suppose 0 = -2*w + l. Suppose 5*r = -q + 91, -r + 40 = r + 4*q. Is r at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53, -107, -161, -215, -269?\n\"Answer: -54*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 + 24\/35. Let k = -0.4 + 0. Let n = -0.1 + k. Which is the biggest value? (a) n (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13855?\nAnswer: 5, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4323 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = 5*b - 15, -17 - 1 = -7917*m + 15840*m - 7924*m + b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 609.209 * -80.\nAnswer: -48736.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34218138.\nAnswer: 2, 3, 5703023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2\/3 (c) -4 (d) -12\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2 - -1)*(1 - 3) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7342227\/302 or -24312?\nAnswer: -7342227\/302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13730112 and 56736.\nAnswer: 13730112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 4. Let b = c - -2. Sort 5, b, 0.5.\nAnswer: b, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 45\/210*-7)\/((-2)\/(-4)). Let i(y) = y**2 - 35*y + 31. What is i(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 51 - 11. Suppose -186 = -4*p - 2*s, -l*s - 165 = -13*p + 9*p. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6504)\/(-2) - (24\/(-8))\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iipi. Give prob of picking 2 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333432?\nAnswer: 2, 3, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 124 = 3*n, -2*r + 18 + 40 = 4*n. What is the remainder when r is divided by (6\/4)\/((-6)\/(-32))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x. Let w be l(5). Let z = 23 + w. Differentiate 4 - z*d + 7*d + d + 6*d**4 wrt d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/70)\/(55\/176)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = 8. Let g = 184873 + -184870. Solve 3*k + 3 - 30 = -5*z, -g*z + b = -k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - 2*d + 0*d)*(191*d**2 - 92*d**2 + 2 - 78*d**2) in the form p*d**3 + g*d**2 + k*d + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-37723)\/(-85) - (-2)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 322 = -13*l. Let r = 52 - l. Put -5, r, 0.5 in increasing order.\nAnswer: -5, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -593341.77 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153429361*r**6 + 6*r**2 + 2745467*r.\nAnswer: -18411523320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(18*3\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -60 (b) 0.4 (c) 17 (d) -0.4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 100.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 1.48, -2, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (15 - (318745\/(-56) - -9)) + 2\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6150 by 5.\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 1 (b) -16 (c) -4 (d) -14 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 471*b**2 + 10*b + 1. Let x be k(3). Let v be (-3)\/(-9) + x\/6. Is (-29046)\/(-26) + (-7 - v\/(-104)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 27*i - 79. Give z(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 - 30*z - 29 = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 45308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 52. What is the closest to 8 in 5, -0.2, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 56 + 2)*((2*s + 0*s + 0*s)*(5 - 3 - 1) + s + 3*s - 3*s).\nAnswer: -282*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*k + 16. Suppose 3*u - 6 = k. What is the remainder when (-60)\/(-14) + (-12)\/42 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017739 is divided by 168.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*j + 8*j. Sort -20, 4, j in descending order.\nAnswer: 4, j, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*b**5 + b**3*r*t + 2*b**2*t + b*r*t - 73*b*r wrt b?\nAnswer: 260*b**3 + 6*b*r*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m**2 - 2*m + 4. Let o(x) = -24*x**2 + 35. Let n(w) = w**2 + 2*w + 13. Let s(p) = -2*n(p) + o(p). Give -9*g(l) + 4*s(l).\nAnswer: 13*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2448)*3 + sqrt(2448)*2 + -2)**2 + (((sqrt(170)*-1 - sqrt(170)) + sqrt(170) + sqrt(170))*2 + sqrt(170))\/(sqrt(1440)*-3).\nAnswer: -21601*sqrt(17)\/36 + 61225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.73 to the nearest integer.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (332 + 174*p**4 - 332)*(-10 - 5 + 3 + (-1 - 1 + 0)*(-4 + 1 + 2)) in the form k*p + d*p**4 + l*p**2 + v + h*p**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -294 - -297. Suppose 3*h = 4*m - l*m - 157, -4*m = -4*h - 660. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 566*b**2 + 7008*b - 21240.\nAnswer: -2*(b - 6)**2*(b + 295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 + -58)\/5 + (-28)\/(-21) and 49\/82?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 v, and 1 j when three letters picked without replacement from {w: 3, j: 1, b: 1, f: 1, v: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6419 divided by 7?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1015127646 + 162.\nAnswer: 161.8984872354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + p - 5 = 0, 4*f - 3*p - 21 - 13 = 0. Let k(b) = b + 2*b - b - 1. Let r be k(2). Solve r*z + 16 = f*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0 + -2)*1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l**2 + 2*l. Let i be v(1). Is 14\/42 + ((-2878)\/i - 1) 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 -40, 102, 244, 386, 528?\n\"Answer: 142*z - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1104956 millilitres?\nAnswer: 0.0001104956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2078*c - 418336 = 2044*c. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a - 3*a - 5*a + (2 - 1 + 0)*(0*a + 2*a - 4*a) + 1 + 12*a - 17*a - 35*a.\nAnswer: -43*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -73*p + 1. Suppose 1 = 3*i - 2*i. Let l be q(i). Is (l\/10)\/((-9)\/30) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1616 * -10.\nAnswer: 16160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28981 - 28980. Are -1268 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67457187 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -100301002001?\nAnswer: -100301002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 656, 1111, 1566?\nAnswer: 2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78\/12 - 6 - (-95)\/(-342). Let f = -2 - 2. Which is the smallest value? (a) v (b) -2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7320*q**6 + 1308*q**2 - 2 wrt q.\nAnswer: 878400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*a - 31*a + 15*a)*(-2*a - 2*a + 2*a) - a**2 + 4*a**2 - a**2 - 2*a**2 - 37642*a + 37579*a + a**2 in the form j + h*a + m*a**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132 - -132. Solve -2*t + a*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:48 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*1\/(9\/(-12)). Suppose 4*t = l*x - 0*x + 8, -12 = -4*t + 2*x. Solve t*c + 6 = 5*k, -2*k = 4*c + 20 - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80796 + 140833. What is the thousands digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*w + 4*d, 0*d = -4*w + 5*d + 37. Suppose 7*p - 3*p - w = 0. Find the second derivative of 1 - 2*g - g**2 - 5*g**p - 1 wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y\/(y**(-3)\/y)))**20)**(4\/5))**(1\/29))**23 assuming y is positive.\nAnswer: y**(-1472\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 43*f + 119. Let y be p(-19). Solve -y = -13*g - 89 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3533.6 times 18\nAnswer: -63604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - a**3 - 1 - 5*a**3 + 2*a**3 + 4*a**3 + (0*a**2 - 2*a**2 + a**2)*(a - 3*a - a) + 8*a**3 + 4*a**3 + 14*a**3.\nAnswer: 29*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 43*l**2 - 724*l - 862. What is z(18)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*g = -11, 3 + 1 = a - 4*g. Suppose -13*u + a*u = -20. Calculate the lowest common multiple of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 + a - 1. Suppose 4*c - 4*k = -292, 0*c + 4*c = k - 298. Let j = c + 58. Let m = 18 + j. Determine l(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2641*q + 8802 = -25531 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 298\/30 - (-42)\/(-204)*34 and -149\/2880?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2887913.3 minus 23642?\nAnswer: -2911555.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmuvumhuhjmumuvmh. What is prob of sequence vvuu?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdm when three letters picked without replacement from jmyymtdjyjmxjm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16506250 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-136)\/(-96) - (-3)\/(-4). Suppose 95 = -618*t + 599*t. What is the closest to p in 0.2, -2\/19, t, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 4)\/18*-3. Let y = 31869\/17 + -1875. Sort y, -5, v.\nAnswer: -5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 5)*(14 - -1). Let x = -13 - k. Suppose -5*w = -2*g - 100, 0 = -x*g - 6 - 4. What is the highest common divisor of w and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-2)*(-38)\/(-475)*(-20)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g*(g\/g**(-7\/2))\/g)*g))\/g**(-4))\/(g*g**(-1\/5)*g)**20)**(2\/29) assuming g is positive.\nAnswer: g**(-57\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/62172 and 85\/41448.\nAnswer: 124344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k*k**(-1)))*k))\/(k**7\/k) assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 898710?\nAnswer: 1797420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 41. Solve k*x - 4 + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/12 and 59\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13 + -7)\/(2\/3). Let h(r) = 3*r**2 - 9*r. Let x(g) = -g + 3. Let t(f) = 1. Let m(i) = -3*t(i) + x(i). Calculate k*m(b) - h(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123426 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1)\/(-4)*22. Let k(l) = 109*l + 13 - m + 10*l. Let t be k(2). Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((5 - 2) + -1)*-4. Does 10 divide (-2)\/k + (-119)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 613\/138 - -170\/23. Suppose -2*x - 2 = 2, -12 = -2*v + 5*x. Find the common denominator of p and (196\/6)\/v*15\/220.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from tcxxtctttxtttxctcct?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:53 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -6*p + 2*l + 2298, -3*l = -5*p + 5737. Calculate the remainder when p is divided by 105.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o**2 - 4*o**2)*(9*o - 61*o - 99*o).\nAnswer: 151*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 7*t**4\/24 - t**3\/3 - 5*t**2. Is 12 a factor of g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8782436*m**2 + 726865*m - 4 wrt m.\nAnswer: 17564872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54605 and 41540.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - 0.1. Let z = 0.03 + -0.17. Let c = z - -0.54. What is the third smallest value in c, y, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 5\/3*y**2 - 3\/2*y**3 - 3\/20*y**5 + 25\/36*y**4 + 123*y + 0 + 1\/90*y**6. Let i(p) = 0. Calculate p.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.228 - -0.228. Which is the nearest to -6? (a) -1 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 4, -2*g + 17*g - 25 = -5*b + 5*g + 5*g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwewwewewwkk. Give prob of sequence wkk.\nAnswer: 13\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(12*i - 20*i + 7*i) + i + i - 5*i + (-3 - 2*i + 3)*(1 - 4 + 5) - 2*i + 0 + 0 + (1 - 1 - 1)*(i - 2 + 2) - 14 - 13*i + 14.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 + -41. Let h = x + -90.00049. What is h rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2*v**5\/5 + 41*v**4\/4 - 50*v**3 + 299. What is the third derivative of q(p) wrt p?\nAnswer: 48*p + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42115 divided by -42115.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235337, 235359, 235409, 235499, 235641, 235847, 236129, 236499?\nAnswer: 236969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*t + 1269 = 130*t - 631 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.70101 rounded to 1 decimal place?\nAnswer: -44.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -525, -34070 in decreasing order.\nAnswer: -5, -525, -34070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1818*t - 6219. Give r(-4).\nAnswer: 1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 45 + 125*r**2 - 14*r - 252*r**2 + 128*r**2 - 4. What is y(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -870368, -1740649, -2610930, -3481211?\n\"Answer: -870281*t - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -t - 3*x, -3*x + 4 = 2*t - 18. Is t + -9 + 33 + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59816868563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*w = 59, 4*w + 19 + 5 = 2*q. Suppose 0 = -7*v + q. What is the second derivative of -4*r**4 - v*r**2 + 11*r**4 - r + 2*r**2 wrt r?\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 6*r + 9. Let o be k(6). Let b = -18 + o. Let g = 74 + b. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fefefeefffrfffeef. Give prob of sequence fr.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:05 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 2*q**2 - 7*q - 8*q**2.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -5 + (-6 - -12) + 7 + -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4656\/7 - 664. Suppose -6\/7*j**2 + 0 + f*j**3 - 2\/7*j = 0. What is j?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(45)\/(sqrt(72)\/sqrt(8)) + (sqrt(500) - (sqrt(500) + 2))))**2*4.\nAnswer: -64*sqrt(5) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.146 + 678.147.\nAnswer: 680.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 2*s**2 - 4*s - 11. Let n be (4\/14)\/((-246)\/(-42) - 6). Let b be d(n). Sort -6, b, -4 in decreasing order.\nAnswer: b, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 205?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 219 in increasing order.\nAnswer: -10, -2, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-1 - 1 - 2). Let t = 17 - d. Let w = -37 + 64. Solve -f - w = 3*v + 2*v, -3*f - v - t = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r + 31*r = -2145. Let d(s) = s**2 + s - 1. Let b be d(2). Calculate the greatest common factor of r and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 13 = -27. Solve -i*w = 3*l + 1, l = -0*l + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -52*w**4 - 6576*w**3 - 15920*w**2 - 5952*w = 0.\nAnswer: -124, -2, -6\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 516 and 828.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-6*-1*sqrt(66) - sqrt(66))*-4)\/((sqrt(180)\/(sqrt(18)\/sqrt(3) + sqrt(6)))\/sqrt(5)))**2.\nAnswer: -70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -811*l**2 + 400*l + 9. Let n(z) = 608*z**2 - 300*z - 7. Let w(x) = 9*n(x) + 7*p(x). Determine f so that w(f) = 0.\nAnswer: 0, 20\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*i + 2*i. Let t be -11*(0 - 1) - -2. Suppose -27 = -t*c + 207. Calculate the lowest common multiple of c and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102020101011222 - 0?\nAnswer: 102020101011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 11:02 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 485771 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*g**4 - g**3 + 19*g**2 + 17*g.\nAnswer: -576*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2816 is divided by 485?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 5*m**2\/2 + 7. Suppose -3 = 30*a - 29*a. Let u(b) = -9*b. Let d(v) = a*u(v) - 5*o(v). Let n(t) = -t. What is d(n(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 252?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**2 + 8*q + 1. Let c(i) = -i**2 - 4*i + 3. Let x be c(-3). Suppose 0 = -o - 0*o - x. Is l(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6351 + -6589. Let z = 504631\/39 + n. Calculate the common denominator of z and 71\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 130, 262, 392, 520, 646, 770?\n\"Answer: -w**2 + 135*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 485 = 2*t, 485 = 5*x - 4*t + 9*t. Suppose 5*a = x + 1018. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11002211 (base 3) to base 2.\nAnswer: 101110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.051048551 to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 828 and 42?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1190068 and 41\/11396.\nAnswer: 8330476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4266 and 474.\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15494, 15509, 15512, 15497, 15458, 15389, 15284, 15137?\n\"Answer: -i**3 + 22*i + 15473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 - -3. Let c = q - 0.6. Let d = 12.9 + -13. What is the second biggest value in c, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000813995 to five decimal places.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 7104147.\nAnswer: -106562205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 - 128*s + 73. Calculate the remainder when 817 is divided by b(-26).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/243 and 89\/24.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50299 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 2. Let r be o(-7). Suppose g = -g + 4*v + 266, 175 = g + 5*v. What is the greatest common factor of r and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x + 4. Let g(m) = -4*m - 3. Let u be g(x). Suppose -o - o + 50 = 4*z, -53 = -4*z - u*o. What is the greatest common factor of 84 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 464*p - 501*p - 639*p to o*p + j and give o.\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x. Let f = 14 - 12. Let m = 7 - f. Let a(l) = 6*l - m*l + 2*l. Determine a(d(c)).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53, 80, 125, 188, 269, 368?\n\"Answer: 9*j**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -9 - 27. What is the second derivative of -y**5 + 7*y - 12*y**3 - d*y**3 - 10*y - 17*y wrt y?\nAnswer: -20*y**3 - 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 27108465*d + 27108462.\nAnswer: 3*(d - 9036154)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-12))\/(2\/(-8)). Let t(g) = -g**3 - 3*g**2 + 5*g + 3. Let n be t(m). Let v = 14 + n. Solve 0 = 3*i - 3*b + 18, v*i + 2*b = -10 + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5910 and 19700.\nAnswer: 59100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -147. Let o = j - -32. Let p be 2\/(-3)*(-3 + 13\/o). What is the second smallest value in -3\/4, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**2 + 12133240*r + 60666300 = 0.\nAnswer: -5, 3033315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26655 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 2*h - 2*h)*(0 + 0 + 2) + (13*h + 0*h - 9*h)*(-5 + 2 + 1)*(-14 - 18 + 14)*(-1 - 4 + 4)*(-3 + 5 + 0) to the form g + l*h and give l.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**4\/4 - 81*r**3\/2 + 2187*r**2\/4 = 0?\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 6) to base 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2029 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 298596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 62 - 65*a + 65*a + 144 - 10*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 46*y**2 + 44*y + 38. Let d be r(45). Let c(b) = b**2 + 4*b - 15. Calculate the remainder when 76 is divided by c(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*u, 2*u = 2*v - u - 5123. Is 90 a factor of (-248)\/186 - v\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 5*q**2 + 5*q - 20. Let z be j(-6). Let l be z\/(-35) - ((-38)\/5 - 0). What is the greatest common factor of 64 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kddkdkkkkd. What is prob of sequence kkkd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-9 + (5 - 2)) - -16 - -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.092 + -338.908. Let r = w + 339.5. Let u = 101\/3 + -34. Which is the closest to u? (a) 0 (b) 0.08 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 3:26 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**7*l)\/(l\/((l*l**(1\/3))\/l*l))*l**(-1)\/l**(-1\/6))\/(l**(-7)*l**(4\/11)*l*(l**1)**(-20\/7)) assuming l is positive.\nAnswer: l**(461\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*v = 324, -4*d - 4*v = -3*d - 153. Suppose -4*c - 5*x = -177, 0*c - d = -5*c + 5*x. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21242)\/(-1376) + ((-15)\/(-2))\/(55\/(-110))?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93\/16 - -1857\/176. Which is the smallest value? (a) r (b) 2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*w + 34 + 71 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27645853 divided by -131023?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*u = 5*z + 20, -3*z - 52 = u. Let s = -13 - z. Solve -s*k + 2*h = 18, -26 = 3*k + 2*k - 2*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = 8*n - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 13*g**3 - g**2 + 9*g**3)*(-2*g**2 - g**2 + 5*g**2).\nAnswer: -8*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38725+-0.0546487849\nAnswer: 38724.9453512151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 149 = -4*q - 467, 5*q = 4*p - 734. Let a = 283 + q. Suppose -a = -3*d + 80. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*b**5 - 58480*b**4 - 134075*b**3 + 158995*b**2 + 531180*b + 299700 = 0.\nAnswer: -2, -9\/8, 2, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -205. Let w = 1143 - -58. Let f = w - k. Round f to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 1.7.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Suppose 3*i - c*i - 3*m = -42, i + 4*m - 46 = 0. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4337 - -2.4347841. What is s rounded to 5 decimal places?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5140590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 6*i - 5*i**2 + 5 - 3*i**3 + 1\/4*i**4. Let q be x(10). Calculate the greatest common divisor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*a - 8*a + 20*a to the form p + f*a and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 8:59 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17 - -99) + -1 + 0. Suppose 0*l = -l + x. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**3 + d + 7*d**3 - d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801.327 millilitres in litres?\nAnswer: 8.801327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8. Suppose -3*h + 9 + 0 = a. Find the third derivative of -o**6 + h*o**2 - 2*o**2 - 2*o**6 + o**2 wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5947 - 5848. Let x(m) = -159*m**3 + 33. Let a(q) = 10*q**3 - 2. What is o*a(b) + 6*x(b)?\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 1)*(3*f - 7*f + 2*f) + (4 + 99 + 105 + 42)*(-3 - 2*f + 3).\nAnswer: -512*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -3, 0.276035, 1\/6.\nAnswer: -3, 1\/6, 0.276035, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2 - 22) + (8 + 8 - 9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1682 times 0.053084?\nAnswer: -89.287288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-34)*(q*q*(q\/q**1*q)\/q)**(-3\/8) assuming q is positive.\nAnswer: q**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = -2. Suppose -3*y - 15 = 0, -5*u + 207 = -u - 3*y. Suppose q = -3*q + u. Solve -2*b = k*b - q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121.302, 0.2, -3, 0.1 in ascending order.\nAnswer: -3, 0.1, 0.2, 121.302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58862 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let p = x + -4. Let k = -37138 - -37201. Do k and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(99)*5 + (sqrt(99) - -1*(sqrt(99) + sqrt(99)*2))))\/(sqrt(9) + -4*sqrt(81)\/sqrt(9) - -1*2*sqrt(9)).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((4\/7)\/(18\/21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2684058*w**6 - 17952255*w**2 + 2*w + 2.\nAnswer: 322086960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((2 - 9) + 3) - -41?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - 42*q + 9. Let j be f(-21). Let i = 149 - -4. What is the greatest common divisor of j and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 177 in 40, -4, 0, 3\/5, 2\/7?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140 + 146. Suppose -h*g + 67 = k - 5*g, 3*k - g = 221. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 6*i**2 - 15*i + 6. Calculate b(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 - 21359*n**3 - 4067*n**3 + 5*n**2 - 31891*n**3.\nAnswer: -57317*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-39))\/((-40)\/(-528))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 9) to base 15.\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 270, 1072, 2404, 4266, 6658, 9580?\n\"Answer: 265*r**2 + 7*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5821\/13 + 448. Which is the third smallest value? (a) g (b) -0.2 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, l: 7, z: 5, v: 1, m: 1}. Give prob of sequence zql.\nAnswer: 175\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from bzkmzzzzbmmmz.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -15*c + 8*c + 612. Calculate the least common multiple of 1 and c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 2*v. Let k be i(3). Which is the third biggest value? (a) k (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 31.7075, 2, 2\/29 in decreasing order.\nAnswer: 31.7075, 2, 2\/29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7587 rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2392, -0.4, 1, -3, 1\/10, -1, -2.2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10330 (base 4) in base 8?\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = -1. Suppose f = -5*r + 15. Suppose a - 4 = -r. What is the least common multiple of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 18. Suppose 0 = j*q - q. Factor -1\/2*m - 1\/2*m**5 + m**3 + 0*m**4 + q*m**2 + 0.\nAnswer: -m*(m - 1)**2*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0.07 (c) -4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 24. Let q be ((-2)\/(-20))\/((-8)\/r). Let h = 1 + 0. What is the second smallest value in q, h, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7888 - 7883. Let g be 10100\/(-24220) + 3\/7. What is the biggest value in -1, x, g, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f. Let h(l) = -860*l + 387. Let i(v) = -9*v + 4. Let b(w) = -4*h(w) + 387*i(w). What is b(q(t))?\nAnswer: -172*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w - 355*w = 2069*w - 69720 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 17.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 40, 78, 130, 202, 300, 430, 598?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -934, -4064, -9394, -16930, -26678?\n\"Answer: -a**3 - 1094*a**2 + 159*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 296 + -292. Solve -5*s - 3*a = 7, 0*a - q*a = 4*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2283250 + -9.32.\nAnswer: 2283240.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:16 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 100 + 25 + 6 - 3*f.\nAnswer: -3*f + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m + 24*m + 45*m - 92*m - 1 + 18*m.\nAnswer: 9*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 11:52 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5 + 30*l**4 + 635*l**3 + 2420*l**2 + 3420*l + 1600 = 0. Calculate l.\nAnswer: -5, -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 times 0.4?\nAnswer: 81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 + 8)\/((-1)\/12). Let x(p) = 2*p. Let v be x(-4). Let r = v + g. Solve 0 = -r*u - 8, u + 3*u + 12 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5120)\/(-1760)*(-4)\/16.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuuvvu. Give prob of sequence vv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -680\/3 or -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001010000000101 + -1001?\nAnswer: -100001010000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*k - 6*k. Let h = -52 - -54. Suppose -k*n - h + 10 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1048 and 1052 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -321002 (base 6) to base 14\nAnswer: -9750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*c**2 - 13*c**4 + 20*c**2)*(0*c - 2*c + c)*(-4 + 2 + 1).\nAnswer: -13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v - 4*v + 12*v. Let t be (1\/2)\/(1\/6). Does 10 divide x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 39\/4)*(-788660)\/(-5029). Let v = -1529 + w. Which is greater: -8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (62\/248)\/((98\/1120)\/((-2)\/2))\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 234\/(-15) + 8\/(-20). Let f = i - -17. Sort 3, -6, f.\nAnswer: -6, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 6*z + 1. Suppose 2*h = 3 - z. Let u(r) = -2 + 1 + 4*r + 3*r. Determine u(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/(-7)*(-8)\/20. Sort -8, 1, -4, h in descending order.\nAnswer: h, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w + 0*w - 3*w)*(3*w - 3*w - 2*w) + 1 - 1 - w**2)*(2*w**2 + w**2 - 6*w**2).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/((30\/4)\/(-5)))\/1. What is the lowest common multiple of 1 + ((-3)\/1)\/(d\/2) and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f + 1. Let h(g) = -g**2 - 11*g + 2. Calculate -9*c(j) + 4*h(j).\nAnswer: -4*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 8) to base 14.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 234 - 263 = -4*h, k - 3*h = 71. Calculate the remainder when (0 - 1 - 0) + 142 is divided by k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 6 - 2 + 13 - 113*q in the form z*q + n and give z.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**3 - 1460*v**2 + 5888*v - 5904 = 0. Calculate v.\nAnswer: -369, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 2*a**2 + 1 + 5*a + a**3 + 13*a**3 - 12*a**3 in the form t + h*a + y*a**2 + z*a**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 6 = 17*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3103 + 3102.6. Which is the nearest to 0.1? (a) -1\/6 (b) 290 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:55 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-9)\/6)*(47 - -1). Does 10 divide 10 + 10\/14 + r\/(-84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*q + 404 = 2044 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47613.\nAnswer: 3, 59, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 6:05 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:32 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 59629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -371785, -743894, -1116003?\n\"Answer: -372109*a + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010110011010 (base 2) to base 12.\nAnswer: a38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6275533?\nAnswer: 11, 17, 37, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -f + 5*o, f + 4*o + 10 = -3. Suppose 37 = 4*m - f*m. Are 37 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(960) + sqrt(960) + 1*sqrt(960))\/sqrt(5))\/(-5*4*sqrt(24)\/sqrt(4)).\nAnswer: -18*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/27 + 16*l**3\/27 + 14*l**2\/9 - 8*l. Factor v(d).\nAnswer: 4*(d + 1)*(d + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 340798*j - 1022438. Determine w(3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 10:01 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 98\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*p = -138*p + 5320393 + 2947250. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 86 + -50?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 80, 9.26, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 13 in ascending order.\nAnswer: 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p + 5. Let g = 2 - 2. Let w = 4 + g. Solve -o = 2*x - w, p*o - 11 = 5*x + 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*t + 10. Let x be 24\/7 - 4\/t. Suppose -x*k + k = -18. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 23.106. Let c = -0.504 + n. Let l = c - -3.11. What is l rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let m(k) = 248933*k. Give m(q(h)).\nAnswer: 497866*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0823 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*f = 106869, 11*d - 6*d = f + 534381. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + ((-1*sqrt(448)*1)**2 - (2 + 0 + sqrt(448))) + -4.\nAnswer: -8*sqrt(7) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 13*g - 9. Suppose 33 = 4*d + 7*d. Suppose -2*s - d = 3*k - 35, -s - 5 = 0. Give a(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**2 - y + 68. List the prime factors of w(-9).\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*s + 163 = 0, -s = -5*s - 4. Suppose 0 = 4*f + 12, 0 = 5*k - f - b - 16. Suppose 0*l = 2*l - 62. Calculate the remainder when l is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 12*o**2 + 17*o. Suppose 2*p - 2*z = -0*p - 34, -3*p = -5*z + 59. Let t be f(p). Is (-1 - t) + -4 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + 1 + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*x - 3*k - 22, 0 = -4*x + 2*k + 20. Suppose x*o = 9 - 0. Let d(p) = -p. Let l(g) = 3*g + 1. Let h(c) = 4*d(c) + l(c). Give h(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 7:53 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 1369 = 9289. Let g = b - -683. Solve -12 = 3*r + 5*f, -f - 3 = -5*r - g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9616*0.47.\nAnswer: 4519.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + j**2 - 8 + 2*j**2 - 6*j. Let d be f(8). Let h(k) = 3 + 2 + 9*k - d*k. Give h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -10. Let k(h) = -36*h**3 - h + 1. Let n be k(1). Let r be (-33)\/n - (-16)\/(-24). Is r bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11729.7 micrograms in grams?\nAnswer: 0.0117297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102401 and 3341?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1292084 divided by -323021\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 6*u**2 + u + 1. Let k be m(4). Let h = 26 + k. Is (2 + 1 - -77) + h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3d4d02 (base 14) to base 13\nAnswer: 595b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -40. Let z = -21 - h. What is the tens digit of (z - 27)\/((-1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 614328 and 1584.\nAnswer: 3685968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o + 3. Let m(d) = -25*d - 10. Let r(a) = -7*i(a) - 2*m(a). Is r(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**3\/6 + g. Let h(f) = -5*f**2 + 50*f. Let c(r) = -10*r. Let j(o) = -5*c(o) - h(o). Give w(j(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 58*j**3 + 613*j**2 - 670*j.\nAnswer: -j*(j - 67)*(j - 1)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851 is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8755*r**3 + 8. Let k(d) = -35018*d**3 - 36. Calculate -2*k(t) - 9*x(t).\nAnswer: -8759*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-452)\/8 + 2\/4. Let s be (-8)\/(-9)*(-6)\/z. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 849.5 + -849.6. What is the closest to a in 0, 176, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 302.78 + -302.78. What is the biggest value in u, 0.3, -429?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 598 + 2868 = 0. Let i = -189 - p. Which is greater: i or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 3*n - n)*(-4*n**2 - 4*n**2 + 6*n**2) + 2*n**3 - 2*n**3 - n**3 to z*n + h*n**3 + y*n**2 + x and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 56 + 3 + (-7 - (-15 - -4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -2*l. Suppose l*i - 4*o = -5, 0 = 3*i + 3*o + 29 + 1. Let m be i + 8 + (-7)\/3. What is the second smallest value in -1, m, -0.03, 0.4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + -0.6. Put -2, -5, f, 4 in decreasing order.\nAnswer: 4, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-221)\/(-39))\/(((-3)\/(-1))\/8838). What is k rounded to the nearest one hundred?\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2203, -2657, -3125, -3613, -4127, -4673?\n\"Answer: -d**3 - d**2 - 444*d - 1757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor 99\/8*y + 3\/8*y**3 - 27\/4*y**2 - 6.\nAnswer: 3*(y - 16)*(y - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 68500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2076 = 9*k - 3. Suppose 0 = 5*h - 1631 + k. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 5*g**2 + 12. Let y be s(2). Let n be (-2)\/2*(-1 + -4). Let r = 0 - 1. What is the closest to y in n, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 306443 divided by 12\nAnswer: 306443\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 5167?\nAnswer: 5167.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7 - 2)*(-5*p**3 + 2*p**3 + p**3)*(-5*p + 3*p - 2*p)*(-12 + 11 + 18) in the form q*p**2 + o*p**4 + w*p + l*p**3 + g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 227 - 755*w + 414 + 321 with respect to w.\nAnswer: -755","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -13, 0, 0.3, -0.15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c - 18?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - 51. Let g = q - 37. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(641*n**3 - 11287*n**2 + 11287*n**2) + (0 - n + 0)*(n - 2*n**2 - n) + 7*n**2 - n**3 - 7*n**2.\nAnswer: 1283*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - q + 71 = 0, -95 = -5*f - 0*f + 5*q. Let s(n) = -16*n**2 + n**3 - 2*n**3 + 7 + f - 3*n. Is s(-16) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.3 - 20. Let w = -1.2 + y. Which is the closest to -1? (a) w (b) 0.4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 7. Calculate the remainder when (-4)\/(-10) - ((-690)\/25 - 1) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.37, -3, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 598, 1209, 1810, 2395, 2958, 3493, 3994, 4455?\nAnswer: 4870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9)*(0 + 3). Let a(z) = 2*z**2 - 2. What is a(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + r + 4. Let u be z(0). Suppose s + u*s - 4828710 = 0. Suppose f - s = -125742. Round f to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*u + 21, -y = 3*u - 4*u + 8. Let j = 1 - -5. Suppose 8 = -j*l + 2*l. Put -0.6, y, 0.3, l in descending order.\nAnswer: 0.3, -0.6, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/4))**10*q**(2\/35)\/q**(-4\/9) assuming q is positive.\nAnswer: q**(5041\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) - (sqrt(256)*-2 + sqrt(4))).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*s - 4*s - 13 = -5*s + s, 84*s - 2 = 83*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29766, -59518, -89270?\nAnswer: -119022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3040 + -3038. Factor 4\/5 + 8\/5*g + 4\/5*g**n.\nAnswer: 4*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((6*sqrt(260)\/sqrt(5) - sqrt(52)) + sqrt(52) - -2*sqrt(832)))\/(-5*(sqrt(484) - 5*sqrt(484)*4)).\nAnswer: -14*sqrt(13)\/209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 444543488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.273 - -0.173. What is the nearest to v in 3, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -743, -1113, -1481, -1847, -2211, -2573?\nAnswer: -2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*((-2780)\/(-16))\/5. Suppose -1103 = -9*z + v. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 2*u**2 + 3*u**2)*(2 - 18*u + 2*u + 60*u) - 2 - 3*u**3 + 0*u**3 + u**3.\nAnswer: 86*u**3 + 4*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 5*h**2 + 9*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 858.3 + -903. Let g = c - -41.9. Put -3, g, 2\/7 in descending order.\nAnswer: 2\/7, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 - 117384.75.\nAnswer: -117384.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by 4?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-28))\/((-9)\/(-21))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1072638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22793 = 205*r + 16233 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 9 - 11. Suppose -96 + 244 = u*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*c**3*r**2 + 10*c**3*r - 4987*c**2*r**2 - 9*c**2*r - 28*c*r + 11*r wrt r.\nAnswer: 190*c**3 - 9974*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -27*z**2. Let g(q) = -6*q**2. Calculate g(d(u)).\nAnswer: -4374*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1935 = n, 23*q - 5*n + 3885 = 27*q. Calculate the remainder when q is divided by 274.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. What is the third derivative of -4*u**6 + 28*u**2 + 0 - 5*u**l - 4 - 26*u**2 wrt u?\nAnswer: -480*u**3 - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14979757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 6. Let f be d(5). Suppose i = -2*s - 2*i + 47, -4*i + f = 0. Let a = 477350 - 477344. Calculate the lowest common multiple of a and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.835 + -1.12. Let p = r + 0.285. Which is the closest to p? (a) 0 (b) -7 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1134626, -4538687, -10212122, -18154931, -28367114, -40848671, -55599602?\nAnswer: -72619907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 3.01. Let z = -6 + g. Let d = -0.7 - -1.7. What is the closest to 1\/2 in z, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(8*v - 94*v - 15*v).\nAnswer: 202*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 146135 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-10 - -16) + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3469406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -249.\nAnswer: -8\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4 - 3140*h**3 + 12534*h**2 - 9396*h = 0.\nAnswer: 0, 1, 3, 1566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 9 = 6. Let r be ((k - -14) + -3)\/((-2)\/(-7)). What is the highest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 31. Let w(v) = -13*v**2 - 3*v - 15. Let x(t) = -39*t**2 - 8*t - 40. Let s(u) = -8*w(u) + 3*x(u). Determine s(l(a)).\nAnswer: -13*a**2 - 806*a - 12493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f = -64 - 56 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*i + 5*c - 4*c, -4*i - 5*c = -6. Suppose p - 3 - 3 = -4*l, -5*l + 18 = -4*p. Solve -5*n + i + 4 = 2*d, 0 = -l*n - 5*d + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**5\/60 - g**4\/3 - g**3\/2 + 16*g**2 - 3. What is b(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1065\/90 + -15)\/((-2)\/(-12)) - -3*3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-4*sqrt(176)\/sqrt(8))\/(sqrt(162) + sqrt(162)*-2)*5*4)**2.\nAnswer: 70805\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*k = -7375, -7*n + 2*k = 5*k - 10361. What is the least common multiple of n and 2?\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, k: 2, h: 1, e: 6}. Give prob of picking 2 k.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3839933*a*q + 1219738*a + q - 1 wrt q.\nAnswer: -3839933*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*n - 181 = 344 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/2 + -6 + (-117)\/(-18). Suppose 2*u - p*i = -12*i + 4, 0 = -2*u + 5*i + 24. Which is smaller: u or 33\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6 + 11 + g + g**2 - 9*g - 1. Determine l(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.32813 centuries to decades.\nAnswer: 93.2813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 35?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 - (55 - 57) - 81?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 318863*y**4 - 317372*y**4 + 0*y**3 - 2*y**3 - 1 - y**2 in the form i*y**2 + r*y + g + s*y**4 + p*y**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 9:03 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58087, 116180, 174273, 232366, 290459?\nAnswer: 348552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5154, 5156, 5158?\nAnswer: 5160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(6*(sqrt(56) + (3*sqrt(8064) - sqrt(8064)) + sqrt(8064))\/sqrt(7)*-1)**2*-3.\nAnswer: 1182818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14955912941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 0, 2*b + 4 = 4*b - 5*d. Suppose -g - 5*y + b*y + 7 = 0, 0 = -2*g + 4*y - 6. Let i be (g + 2)\/(1 - 8). Is 1 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*i + 30, 4*j + 0*i = -4*i + 36. Suppose 0 = -0*q - q + j. Solve w + 5*l = -21 + 6, q*w + 3*l + 9 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 12:50 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 46. What is the units digit of ((-25)\/10)\/t*-96?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*t = -0*o - 8, -o - 4*t + 20 = 0. Let s(a) = -18*a - 13. Let x be s(-1). Sort -5, x, o in increasing order.\nAnswer: -5, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -12, -p + 2*p - 231 = -2*d. Suppose 2*i - d = 135. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, 5040, 18800, 45626, 89874?\n\"Answer: 726*x**3 - x**2 - 29*x - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 20525 and 20502 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -480 - b**2 + 227 + 220 in the form t + v*b + y*b**2 and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-417)\/9*(-14 - -20 - 60).\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h + 118 = -34 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 457 + -246. Let k = -209 + j. Solve k*r - 4 = 3*r, 10 = -w - 2*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*j**2 - 141*j wrt j?\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/415 + 1196\/25315. Let r = p + 53\/244. Is r at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2. Let f(k) = -3*k**2 - 5. Let s(z) = z**3 + 3*z**2 - 2*z - 3. Let h be s(-2). Let u(v) = 4*v**2 + 6. Let i(o) = h*u(o) + 6*f(o). Give i(b(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 16*k + 3. Determine j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638215?\nAnswer: 5, 127643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v. Let i(n) = -n. Suppose 3*g - 8 = 4. Suppose g*p + 57 = 37. Determine p*i(j) + r(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 1, y: 6, k: 1, j: 3}. Give prob of picking 1 j, 1 z, 1 k, and 1 y.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*p + 57*p - 18. Suppose 4*g - g = 0, -12 = 4*y + p*g. Let x(k) = -k**2 + 4. Calculate x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 10. Let a be y\/21 + (-10)\/(-6). Factor -2 + 0*q**2 + 4*q + 2*q**2 - 2*q**a - 3*q + q**3.\nAnswer: -(q - 2)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -14. Let k be (-2)\/((-24)\/x - 2). Suppose -3*r + d + 15 = 0, r + k*d = -r - 7. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*m = -913*m + 53*m - 270*m + 262392 for m.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 7:31 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*h + 3*d, -3*d + 24 + 21 = 3*h. Let v = 27 - h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 18*o - 55, -y - 3*o + 29208 = 29242 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2746307 divided by 143.\nAnswer: 2746307\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169808 is divided by 826.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1300 and 676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-104)*4*8\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -54, -125, -236, -393, -602, -869, -1200?\nAnswer: -1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:37 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (12 - 5) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 684 - 383. Let r = -166 + m. Let b = 31 - 16. Calculate the highest common divisor of r and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1037*c + 1039*c - 3116*c + 1043*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31212 and 4641?\nAnswer: 2840292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -119. Let y = -29 + g. Calculate the lowest common multiple of -2 + -2 - 34\/(-1) and y.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 379799251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*u - 2, 5*r - 2*u - 4972 + 4996 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*s + 3. Let w be (-7)\/(-6) + 2\/12. Which is the third smallest value? (a) s (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6475 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - q**2 + 780. Let s be a(0). Suppose -3*r = -9*r + s. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60583 is divided by 20192.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3915.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)\/(57\/6). Put -0.4, 3, b in ascending order.\nAnswer: -0.4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/26 + -2 + (-297)\/22*-5?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.09, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8254 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 307\/6. Let q(p) be the third derivative of -5\/6*p**3 + 1\/15*p**5 - z*p**4 + 0 + 3*p**2 + 0*p + 1\/120*p**6. Give q(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b**2 - b - 2. Let u(f) = f**2 - 4*f + 3. Let t be u(3). Let z be q(t). Suppose 49*o = -141*o - 1330. What is the biggest value in z, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9146 + -9113. Calculate the greatest common factor of n and 14487.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 + 11 + 205 + -82?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m = 54*m - 1575 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 639459744?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 4*t**2 - t + 13. Let r be (-108)\/(-72)*8\/(-3). Give j(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 196649 and -0.1.\nAnswer: -19664.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.7 rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {y: 3, l: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2353 - 75. Suppose 90*c - 92*c = -k. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 35972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 4\/5 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from oooc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 = 0, -4*b + 3*b + 3 = z. Suppose -z*j + 106 = 6. Suppose 8 = -5*g - 2, -5*d = -5*g - j. Solve d*p - 7*p = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4329 by 39.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.803 - -0.697. Which is the third smallest value? (a) r (b) -2\/3 (c) -1\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745061 is divided by 2687.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195 or 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1005 + -5?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 9*o**2 + 10*o + 4. Let r be y(-10). Let a be (-14)\/r + (-12)\/8. Suppose -7 + 1 = -3*k. Sort 1, a, k.\nAnswer: a, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -10) + 5 + (-7980)\/462?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.201 - 0.071. Which is the nearest to s? (a) 4 (b) -2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/4)\/(79\/(-1738)). Suppose -5*o = -5*c - 275, 0 = -8*c + 3*c - 5*o - 275. Is c != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3143*z**2 - 20200?\nAnswer: 6286*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 1503*t - 35706. What is c(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 32 = -4*s, -6*s - 33 = -2*s + 5*o. Let m = s - -11. Suppose -4*p = -m - 8. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l + 2*l + 0*l - 2. Let x = -40 + 38. Give i(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -15. Let w(u) = u**2 - 6*u + 6. Let z be w(j). Let n = 51 - z. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 150 = 4*x - x, 5*k - 4*x = 750. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*sqrt(132)*-2 + sqrt(132))\/sqrt(12).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/163 - -680\/1141. Which is the biggest value? (a) y (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365411, -365484, -365557, -365630, -365703?\nAnswer: -365776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 45 = 3*l. Suppose 4*w = 12, -4*o + 41 + l = 4*w. Which is the second biggest value? (a) o (b) 4\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -379 + 371. Let q(r) = 310*r**2 + 5. Let n(g) = 464*g**2 + 8. Let o(w) = j*q(w) + 5*n(w). Let a(k) = -2*k**2. Calculate a(o(v)).\nAnswer: -51200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6919.\nAnswer: 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 1240, 4204, 10194, 20218, 35284, 56400?\nAnswer: 84574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 54*t**2 - 53*t + 172. Let w be g(53). What is the highest common divisor of w and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-367 - -356 - ((-1 - 2) + 48)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -131845, -131900, -131955, -132010?\n\"Answer: -55*o - 131790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + 1 + (-23 - -24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) + -1*sqrt(10))\/sqrt(2) - ((sqrt(5) - (sqrt(5) + sqrt(5)*2 + sqrt(5))) + -2))**2 - (sqrt(405)*-4 + 3)**2) + -4.\nAnswer: -6444 + 228*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152039*i**3 - i**2 - 6324 wrt i?\nAnswer: 912234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.422402164 to four decimal places.\nAnswer: -2.4224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13709869867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 5*r**2 - 7*r - 5. Let y be h(-6). Let v = 10 + y. Calculate the lowest common multiple of 10 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 180 = -192. Solve 9 = -p*y - 7*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-6)*3*0. Let l = -5 - s. Which is the third biggest value? (a) l (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -26. Let j(p) = -p**3 - 24*p**2 + 13. Calculate the remainder when j(v) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**4 + 12*j**3 + 7*j**3 + 1 - 161*j**2 - 19*j**3 - 2*j**4 in the form g*j**3 + c*j + v*j**2 + t + q*j**4 and give v.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzytyyyanytytauny. What is prob of picking 1 t and 2 a?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/58 and -6\/49.\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18427562\/7 or 2632508?\nAnswer: 2632508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328153791?\nAnswer: 3, 7, 41, 257, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-1*(-3)\/(-3)). Let f = -65 + 71. What is the highest common factor of f and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 443\/443 + (71 - 1). Let v(x) = -69*x + 1. Let y be v(-1). Do y and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a factor of 578245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1087 - -1092. Solve -h*j - 30 = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -h, -266*s = -271*s - 5*h - 41 - 4 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -4. Let o be 142\/46 + 58\/(-667). Is (-8 - z) + o - -590 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/15*(-285)\/95\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 321145766?\nAnswer: 321145766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -109?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 10. Let b be c(0). Let g = -5 - b. Suppose 10 = w + 4*o, -g*w + 186 = -3*o + 67. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 9*k + 42523 = -4*k, 7*l - 3*k = 148728. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 19*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 594, 1334, 2370, 3702, 5330?\nAnswer: 7254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2. Let s(a) = 9 - 5*a + 6 - 2 - 11. Determine s(i(u)).\nAnswer: -25*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 361987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 17*b. Let w(y) be the second derivative of 14*y + 2\/3*y**3 + 0 + 0*y**2. What is w(h(g))?\nAnswer: 68*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42683 + -42540. Solve t*k - 134*k + 81 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1301 (base 4) to base 9\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) -4\/9 (c) 720\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d. Let x be (54\/(-12) + 2)*(-4 - -2). Suppose -4*h = -k - 44 + 8, -x*k = 4*h - 12. Calculate the remainder when m(-6) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 4*i**2 - 4*i - 1. Suppose 1 = 3*g + 5*m - 6, 0 = 4*g + 5*m - 11. Suppose 3*o - g = 2. What is the remainder when k(-3) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 9:53 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2284 = 3*a - 738*t + 743*t, 784 = a - 4*t. What is the smallest common multiple of a and 12?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2961264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**4\/8 - 2*p**2 - 21*p. Let o(y) = -y - 3. Let h(z) = 2. Let m(l) = 6*h(l) + 4*o(l). Determine m(x(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(234\/(-4)))\/(8\/((-168)\/(-49))).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -15.03\nAnswer: 6.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*b + 5. Suppose 4*t - 5*w + 2*w + 4 = 0, -4*t - b*w = -24. What are the prime factors of (t + -29)*10\/(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 31 = 3*m, 0 = 6*m - 0*q + 4*q + 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 4*q + 4*x - 0*x - 18, q + 6 = 4*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -533\/14. Find the common denominator of 57\/14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/(-12) + -1 + 344005. Round f to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 2*c - 12 = 2*l, -5*l + 5*c - 15 = 0. Let u(f) = f. Let i(g) = 1 - 3*g + 5 - 4 - 1. Give l*i(v) + 5*u(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*(8\/2 + -3). Let d(u) = -u**3 + 11*u**2 + 13*u - 6. Let j be d(p). Let n(r) = -10 + 4*r + 5 + j. What is n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117917871 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*a**2 + 6*a**2 + 5*a**2 + (a - 3*a + 4*a)*(3 - 6 + 5)*(-1 + 2 + 0)*(-3*a + 1 - 1).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -489, 391, 6, 3 in increasing order.\nAnswer: -489, -3, -2, 3, 6, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1957782709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/45 and -61\/147836865.\nAnswer: 443510595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 2. Let w be g(-6). Let s = -7 + w. Suppose 0*l = -3*l + 3. Is s greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286481.\nAnswer: 13, 22037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2237*-3902\nAnswer: 8728774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-27 - (31 + -29))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5417496 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 6)*(p + p + 0*p)*((-2*p**2 - 4*p**2 + 4*p**2)*(-3 + 5 + 1) + 20*p**2 - 13*p**2 - 17*p**2 + 2*p**2 + 0*p**2 + 0*p**2).\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i - 3*m - 107, 0 = 3*m + 3. Let s = 25 - 12. What is the greatest common divisor of s and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*l - 6 = 2*v, 3*l = -2*v + 15. Solve -v*q + 5*q = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**2 - p + 1. Let m be l(2). Suppose 4*z - m = -7. Suppose 10 = -z*b, -3*x - 26 = -6*x + 4*b. Calculate the smallest common multiple of x and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -209 - -269. What is the remainder when u is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2334*i + 2328*i + 2*i**2 + 2345*i - 11678*i + 2335*i + 2336*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/4 - 6*i**3 - 67*i**2\/2 - 66*i - 153\/4 = 0. What is i?\nAnswer: -17, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 19 - 92)*(-3*f - f + 3*f)*(2*f - 2*f - f + (-1 - 2*f + 1)*(0 + 4 - 3) - 4*f + 2*f + 3*f + (-4*f - 2*f + 3*f)*(1 + 3 - 3) + f - 6*f + 0*f).\nAnswer: -1060*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0065204982 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2. Let o(n) = 91685*n**2 + 71*n. Give o(y(u)).\nAnswer: 1466960*u**4 - 284*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**5 + 30*k**3 - 20*k**2 - 48*k = 0?\nAnswer: -4, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4 + 506*d**3 + 4390*d**2 - 506*d - 4392 = 0 for d.\nAnswer: -244, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10122 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxuucuuuucxuxuu. Give prob of sequence ccx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 0. Let m = -0.0191 + 230.0191. Let g = 230 - m. What is the closest to -1 in 0.5, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e4 + a8b50?\nAnswer: a865b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 28*w = 247. Let r be (374 - 1) + w + -18. Calculate the highest common divisor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2560804?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -416 times -3\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + n = -6, -86*p - 2 = -88*p - 3*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/s**(-7)*s**(-3)*(s\/s**(-1)*s)**(-35) assuming s is positive.\nAnswer: s**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 14*f**3 + 2*f**2 + 24*f - 50. Does 11 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 5)*(-27*u - 22*u + 8*u) to d*u + r and give d.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.73 (b) -2.1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -40 + 23 - 17*d - 62 + 22*d. Let y(b) = 2*b**2. Calculate i(y(u)).\nAnswer: 10*u**2 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -38 - 65) + 74\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120580?\nAnswer: 2, 5, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -32.08. Which is the fourth smallest value? (a) 2 (b) -2\/3 (c) g (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 3. Let q(x) = 4*x + 2. Let t = 12 + -18. Let o(u) = 9*u + 3. Let c(a) = t*o(a) + 13*q(a). Let v = 25 + -17. What is v*w(y) - 3*c(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 588 (c) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 43*4\/8*(-8)\/(-2). Let l be 3\/(-12) - -3*1\/12. Suppose l = j, 226 = -4*q - j + v. Is -35 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + -1*sqrt(448)) - (3 + 1 + sqrt(448) + -1)**2) + 4 + -5.\nAnswer: -463 - 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 5*2\/(-2). Let s = 37 + -33. Suppose 18 = -x + s*x. Is q smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/96807264 and 83\/24201816?\nAnswer: 96807264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 41\/(-13) + 12\/78. Let q = r + 0. Is q less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9301.\nAnswer: 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 - -114. Suppose -y*v + 12 = -3*v. Solve 8*f - v = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*b**2 - 22*b**2 + 67*b**2 + 67*b**2.\nAnswer: 145*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-4.07.\nAnswer: 0.1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g**5\/7 + 15*g**4\/7 - 9*g**3\/7 - 15*g**2\/7 - 3*g\/7 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -9 (b) 237 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4*(-15)\/12. Let o = -13\/112 + s. Which is the closest to o? (a) -1\/3 (b) 1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17760 and 2553.\nAnswer: 408480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*(-266)\/21. Suppose 5*x - f = 66. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.547 + -2.26. Let r = -0.387 + a. Let j = 2 - 5. Put j, r, -0.3, 5 in descending order.\nAnswer: 5, r, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from uussusnn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, 4, 0, -1\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20705\/38 < -546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7405?\nAnswer: 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1143)\/(-5334)*(-231)\/(-22)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 507.9 - 510.9. What is the closest to 6 in 1\/7, -5, d, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**3 - 10*x + 6*x + 4*x.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4) + -2 - (-1879)\/(-3758).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-12710)\/(-22878)*108\/110\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:17 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 63 = 8*b - 37 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:46 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3 + 42190*f**2 - 337577*f + 295386 = 0. What is f?\nAnswer: -42198, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375178957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/25)\/(f\/(f\/(f*f*f\/f**(1\/11)))*f))\/(f**6\/f**(-12)) assuming f is positive.\nAnswer: f**(-6003\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - o - 2. Let s(p) = -3*p**2 - 10*p - 4. Let i(b) = 2*c(b) - s(b). Let m(n) = n. Calculate i(m(f)).\nAnswer: -f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 + 6*i + 872. Is b(-44) a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, 2\/2133, 3, 4\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3\/7, -618, -2 in increasing order.\nAnswer: -618, -2, -0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Let v(a) = 4*a - 1. Let r be v(1). Let m = r - 0. Solve -5*t = 5*d + 1 + 14, h = m*d + 2*t + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 8*d = -5*d, 0 = -5*l - 2*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.059 + 244.059. Let b = p + -253. What is the closest to -1 in 5, 2, b, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 minus 15063361174?\nAnswer: -15063361170.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/2 - 22*n**2 + 141*n\/2 = 0.\nAnswer: -47, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*((-8)\/3 + 2). Let s = 14 - u. Let z be (5 + 3)\/(3 - 1). Solve -z*m - 3*c = 22, 0*m = -m - s*c - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*g + 164*g - 80*g + 515 - 515.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f. Suppose f = 5*s + 20 - 55. Suppose 2*g - s*g = -5, 3*g + 15999997 = -5*k. What is k rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -753.049, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, f: 9}. Give prob of picking 1 a and 3 f.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o - 7*o - 6*o. Let p(d) be the second derivative of -7*d + 0*d**2 + 1\/18*d**4 + o + 1\/18*d**3 - 1\/20*d**5. Factor p(l).\nAnswer: -l*(l - 1)*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3152895 and -245804.\nAnswer: -3398699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.449 + 2.649. Put j, 20, 0.7 in descending order.\nAnswer: 20, 0.7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/94335156 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45.53 + 40.4. What is j rounded to one decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-94)\/(-2820))\/((-2*1\/7)\/(-6))?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-5))\/(48\/10 + -4). What is the biggest value in i, 0.2, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 4*c - 150. What is the tens digit of (-1705)\/33*c\/2*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*(170\/14 + (-178 - -163))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1 - (579 - 585)) + (75 - 3 - -2)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -2, -1, -4 in descending order.\nAnswer: -1, -2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (2\/(-4))\/((-10)\/620)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 6 + (3 + 0 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12798?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - g = -6*g - 17, 3*h - 5*g - 37 = 0. Suppose -6 = -2*y, 3*t + 2*y = h*y. Solve -4*q - 10 = -2*x, 2*q + 25 = -t*x - x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*a - 1 = -3*a, w + 5 = a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 10 - 92*s - 3*s**2 + 2*s**2.\nAnswer: -s**2 - 92*s - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 10. Suppose 3*c + 12 + 8 = -a, 0 = a - c + 4. Let k be n(a). Find the third derivative of 5*t**2 + 2*t**3 + t**k - t**3 + 4*t**3 wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/49*28\/16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 1:15 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4059457 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*f - 2*f**2 + 3541 + 0*f**2 + f**2 + 123*f - 54*f as w*f + g + c*f**2 and give g.\nAnswer: 3541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -90*d + 93*d. Calculate the remainder when d is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1179757.061 take away -37?\nAnswer: -1179720.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-780)\/(-40)*8\/3. Suppose 0 = -a - 5 + y. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**4*p*p\/(p*p**(2\/5)))\/((p**6*p)\/(p\/p**0))*(p**(2\/5))**(-19)\/(p*p**(-1)*p)**(-42) assuming p is positive.\nAnswer: p**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 - 48 = j + 3*g, -2*j - 3*g = -281. Suppose 0 = s - 8*s - j. Let p = s + 33. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742260.6 rounded to the nearest ten thousand?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 - -88. Let i = 48 - h. Let g(m) = 32*m + i*m + 16 - 66*m. Give g(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/10)*c**(-36))**(2\/11) assuming c is positive.\nAnswer: c**(-357\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 17*v + 844. What is the units digit of a(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20841159 is divided by 451.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164\/3*x + 8 - 8*x**3 + 116\/3*x**2.\nAnswer: -4*(x - 6)*(x + 1)*(6*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29169017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -164 in decreasing order.\nAnswer: 1, -2, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-3) + (-4)\/2. Suppose -199 = -2*o + x*d - 81, -5*d - 15 = 0. Suppose 0 = 4*l + o - 196. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -819755, -3278948, -7377611, -13115750, -20493371, -29510480, -40167083, -52463186?\n\"Answer: -i**3 - 819729*i**2 + i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - 4*l - 10. Let o be y(8). Let k = 1193\/7 + o. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210317844 divided by -5\nAnswer: -210317844\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 18, w: 2}. Give prob of picking 2 i and 2 w.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/84*4\/3*3\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 8. Suppose 5*x + 831 - 891 = -2*r, x = 8. What is a(r)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67815911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2. Let o(q) be the third derivative of -q**4\/8 - 3*q**2. Calculate d(o(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96.22 + -69.5. Let l = 1.8 - t. Round l to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3648708 divided by -6.\nAnswer: 608118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:39 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044064097 rounded to 4 decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 6*y - 6. Let d be q(4). Suppose 2*n = 1 + 5. What is the greatest common factor of d and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 690 and 2370?\nAnswer: 54510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 11 = o. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 267 - 1413. Suppose -f = -5*g - 36, 0*f = 5*f + 5*g - m. Let n = f + -35. What is the remainder when 41 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 891\/215 - (-2)\/(-15). Let y = m + 10\/129. Factor 0*g + y*g**4 + 0 + 12\/5*g**2 - 16\/5*g**3.\nAnswer: 4*g**2*(g - 3)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*i - 4 = i, 0 = -4*p - 2*i + 22. Let s(u) = -391 + 391 - 2*u - p*u. Let b(y) = 9*y**2. Calculate s(b(q)).\nAnswer: -81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (96\/(-80))\/(2\/5). What is the biggest value in 0, f, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {h: 8, e: 1, s: 6, q: 1, b: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13261 - -13301. Calculate the highest common divisor of b and 1280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -21 + 11. Suppose 4*u - p*y - 8 - 20 = 0, 5*u - 9 = -4*y. What is the remainder when u is divided by 6 - 2 - -1 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 2041\/3, 1, -1, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15074, 15069, 15062, 15053, 15042, 15029?\nAnswer: 15014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 602 + -594. Let g(i) be the first derivative of i**4\/4 - 3*i**3 + 4*i**2 + 1. Calculate g(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273 divided by 4742.\nAnswer: 273\/4742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 29 + 5*u**3 + 23*u**3 + u**3 wrt u.\nAnswer: 87*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-60))\/((-395)\/474)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a8 (base 16) to base 13\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1)\/m))**33\/(m**(-2\/7)*m*m\/(m*m\/(m\/(m*m*m\/m**9)))*m))**49 assuming m is positive.\nAnswer: m**4473","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2148.337 meters?\nAnswer: 214833.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/89417905?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8794, -18174, -27558, -36952, -46362, -55794?\nAnswer: -65254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - d = -2*d + 28, 5*c - d = 52. Let u = -7 + c. What is the derivative of g**u + 16*g**2 + 0*g**3 + 4 - 16*g**2 wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0 (c) -11 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5399130?\nAnswer: 2, 3, 5, 11, 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 996226141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.437702 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 81123583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o + 17. Let i be h(7). Let z be (-11)\/i - (-11)\/44. Suppose 5*k = 25, -5*u - 2*k + 6080 = -z*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -32*u**2 + 13*u**2 + 18*u**2. Let q(c) = -c + c + c**2. Determine q(o(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2. Let j(n) = -4*n**2 - 5*n - 125. Let y(q) = -35*q**2 - 42*q - 1050. Let k(c) = 42*j(c) - 5*y(c). Calculate k(a(w)).\nAnswer: 63*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0135385479 rounded to four decimal places?\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = -0*m - 5*m, n = -4*m + 1. Solve n*z - 2*z = 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1. Let d(u) = -2*u - 22. Let h(w) = 3*c(w) + d(w). Let j be h(-14). Solve 39*z**j + z**2 - 38*z**3 - 3*z + 2*z - z**4 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 22*k - 68. Let v(j) = 21*j - 70. Let i(w) = 9*v(w) - 8*y(w). Determine i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864117 is divided by 30861.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n**3 + 8*n**2 - n - 13. Suppose 2*a + 20 = 6*a. Let u(p) = 4*p**3 - 4*p**2 + 6. Let q(v) = a*u(v) + 2*k(v). Let q(r) = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34751 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 6. Let a be v(-4). What is the common denominator of 51\/20 and 246\/24 + a\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 12*c**2 - 12*c - 6. Let l be b(-11). Suppose -3*r - r + 23 = -5*y, 0 = -4*y - 12. Sort l, 3, r in descending order.\nAnswer: l, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*g**3 + 168*g**3 - 582*g**3 + 186*g**3.\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2937 divided by 41218.\nAnswer: 2937\/41218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12451 (base 6) to base 2\nAnswer: -11101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 8580 = 18*k. Calculate the remainder when k is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -506, -490, -460, -410, -334, -226?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*b - a**3*k**2 + 8*a*b**2 - 8*a*k - 56*b**2*k**2 wrt k?\nAnswer: -2*a**3 - 112*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258516.\nAnswer: 2, 3, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0, 0.2, -3.41?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 63*p + 316. Let w be d(-5). Let j = 103 + -71. Is w not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -1\/5 (c) 0.3 (d) -1\/2 (e) 9.08 (f) -0.04 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 31 + 23. Suppose 69 = -k + 95. Suppose k*o - 169 = 325. Is o != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1664*t + 578*t + 1234*t)*(2*t - 4*t + t).\nAnswer: -3476*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16999 - -16998.999. What is the nearest to 3\/14 in -4, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114.2594 - -0.0794. Let o = b - 1.82. Let t = 125.2 + o. What is t rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.002115 milliseconds to days.\nAnswer: 0.0000005208578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.06, -14, 2\/11, 52, -1\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60, -206, -450, -792, -1232, -1770?\n\"Answer: -49*u**2 + u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2 - 20*m + 4. Let w(p) = -15*p**2 - 39*p + 7. Let k(f) = 6*w(f) - 11*x(f). Let n be k(-6). Solve 7*h - n = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 9*i**2 + 9*i + 3. Let g be l(3). Suppose 0 = -5*h - g*a + 9975, 84*h = 83*h + 4*a + 1972. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/3, 1\/3, 627 in descending order.\nAnswer: 627, 1\/3, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 83911.007 rounded to the nearest 10?\nAnswer: 83910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -25048.\nAnswer: -25046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**6\/120 - f**5\/12 + f**4\/6 + 5*f**3\/6 + 6*f**2. Let w be g(4). What is the highest common divisor of 35 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 10 - -19 - (725 - 722).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*g + 7*y - 43, 0 = -g - 4*y - 5. Solve 3*m = 2*k + 21, -15*m + 26 = -2*k - g*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 + -188. Suppose 0 = -4*n - 5*v + 3, 2*n - p = -2*v + v. Solve 5*r = l + 21, n*r - 3*r = -l + 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3007 bigger than 2831.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {r: 1, x: 1, v: 1, b: 1, l: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-70)*-7)\/((3321\/6)\/(-9)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 925496 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 5.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k - 8 = 4*f, 0 = -f + k + 4. Suppose -2*w - 4*u + 18 = 0, 3*u = w - f + 1. Suppose -56 - 79 = -w*h. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -7. Calculate the smallest common multiple of j and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/888 + -25313\/4440. Let k be (1 - (1 - -2))*-4. Calculate the common denominator of ((-42)\/k + -2)\/(-5) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*y = -0*y + 28, 4*p + 11 = -y. What is the nearest to 2\/9 in -2, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 33484210?\nAnswer: 267873680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 28315*k. Let d(m) = 53*m. Determine d(u(q)).\nAnswer: 1500695*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9205 is divided by 460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 + 9*w - 6. What is m(4)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -127.96. What is the second smallest value in -5, 4, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -7. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*o + 83366, 41658 = 8*o - 9*o + 3*i. Round o to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*l = -45349, 23*u - 27*u = -3*l - 90733. Calculate the highest common divisor of 49 and u.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*l - 16, 3*d - 3*l - 24 = -4*l. Let c(p) = -p**2 - 81*p + 258. Let g be c(-84). Calculate the highest common factor of d and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61732 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18\/7, -4, -1, 799?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 726430*h**3*u**2*v**3 + h**3*u**2 + 37*h**2*u**2*v**3 - h**2*v**2 - 5249*h*u**2 - 2*u**2*v**3 wrt h.\nAnswer: 4358580*u**2*v**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3761243551.\nAnswer: 13, 1279, 17401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 7*h - 6. Let k be p(-5). Suppose -5*b + 20 = k*j, -3*j = 4*b - 2*j - 27. What is the greatest common divisor of b and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o = -30*o + 4 + 1 + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-7)\/m)\/m)**(3\/17)*m\/((m*m**(19\/5))\/m)*m*m*m**(3\/2))**12 assuming m is positive.\nAnswer: m**(-906\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(-2*sqrt(90)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-77)\/22*((-10)\/14 + -1). Suppose -6 = -5*v + 2*v. Let b(a) = v*a + q - a + a - 3*a. Determine b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246468?\nAnswer: 2, 3, 19, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(110))\/sqrt(2) + sqrt(55))*-6)\/(((sqrt(400) + sqrt(25))\/sqrt(5) - sqrt(5))*-5).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 114*k**5 - 208*k**3 - 26. What is the third derivative of x(l) wrt l?\nAnswer: 13680*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -12 - 6. Suppose -r + 2 = w, t = w - 5*r + 2*r. Sort 1, -2\/5, w in ascending order.\nAnswer: -2\/5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1365*o - 1367*o + 2*l + 4 = 0, -o = -5*l - 22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -59 - 51. Suppose -5*x = 2*n - s, 3*n + 0*n = -x + 7. Let c = 146\/255 + -12\/17. Does c = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 2*j + 1\/54*j**4 + 0 - 1\/27*j**3 + 0*j**2. Determine o so that y(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0*h + 640. Suppose -m - 17 = -19. Suppose -d - c = -14, -86 = -5*d + m*c - 2. Calculate the greatest common factor of d and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/r**1)\/r*r)**(1\/21))**(2\/55) assuming r is positive.\nAnswer: r**(2\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0824979 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**15\/(w\/((w*w**(-7))\/w))*((((w\/((w*w*w\/(w*w**12*w)*w)\/w))\/w)\/w*w)\/w)**(5\/3))**(-4\/9) assuming w is positive.\nAnswer: w**(-284\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62546203 or 62546204?\nAnswer: 62546204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354689 is divided by 120?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (140\/44)\/(-1) - -3. Which is the nearest to -2? (a) s (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -76. Suppose 2*b + 6*p - 8*p - 32 = s, -p = 4*b - 64. Calculate the remainder when 108 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 + 4)*(-2)\/(-14))\/((-22)\/(-7238))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5449.047 and -3.\nAnswer: -5452.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 672 = 15*x. What is the greatest common factor of x and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)*d\/(((d**(-30)*d)\/d)\/d))**(4\/15) assuming d is positive.\nAnswer: d**(644\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100.6 + 7.4. Let a = -108.3 + m. Sort -0.17, 0.5, a in decreasing order.\nAnswer: 0.5, -0.17, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Suppose 0 = d + 5*o - 11, -g*d - 2*o - o + 44 = 0. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3 = -y, y - 9 = 136*m - 131*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*b = 363*b. Solve 5*r + 6*x - 2*x - 21 = b, -2*r + x + 11 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38467 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 25. Let i(c) be the first derivative of 1\/12*c**3 + 3\/16*c**w + 0*c - 1\/20*c**5 + 2 - 1\/12*c**6 - 1\/8*c**2. Let i(p) = 0. Calculate p.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 0.5, -0.4, 0, -1, 895?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 = 5*t - 2*t. Let b = t - 78. Suppose c + 4*s = 60, -2*c - 3*s + b = s. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/140 and 74\/1435.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11556466900 to the nearest one million.\nAnswer: 11556000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**3\/3 - l**2\/2 + l - 10. Let p(y) = -5*y**2 - y + 2. Calculate 2*d(q) - p(q).\nAnswer: 3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -320 + 320.1. Sort -1\/3, s, -0.016 in descending order.\nAnswer: s, -0.016, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/492 and 55\/24.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 157*k**2 - 3744*k + 1101. Determine v(178).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let x(h) = -h + 13. Let k(c) = -2*t(c) + x(c). Let n be k(-11). Factor -3*q + 5 - 3 - 2 + 3*q**n.\nAnswer: 3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccfb when four letters picked without replacement from {b: 2, f: 5, c: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than or equal to -33.46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 86. Let n(z) = -92*z + 2925. Let t be n(32). What is h(t)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a**2 - 2*a**2 + 36*a**2 + 22*a**2.\nAnswer: 95*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 2:51 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11280, 45109, 101490, 180423, 281908?\n\"Answer: 11276*v**2 + v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/(-6*(sqrt(9) - sqrt(9)*-2)) - (sqrt(152)\/(sqrt(16)\/sqrt(2) + sqrt(8)) + sqrt(133)\/sqrt(112))) + 5)**2.\nAnswer: -145*sqrt(19)\/18 + 48379\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - 4*(sqrt(110) - sqrt(110)*2))\/(2*sqrt(1440)).\nAnswer: 5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + -7 - ((7 - 22) + 5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9*(-258)\/4. Let k = j - 27. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8997 and 94002?\nAnswer: 281911998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.7. Let y be (38\/(-18) - -2)\/((-22)\/(-44)). Which is the second smallest value? (a) n (b) y (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (38\/(-5))\/1 - 30\/(-50). Let g(v) = -v. What is g(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -24.5. What is the closest to 1 in u, -5, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 9*n - 3. Let j be q(8). Suppose -t = j - 7. Solve 0 = -5*w + t*r + 7, 3*w - 4 = -4*r - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9927452 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Let o(j) = 0 + 0 + 21*j + k - 1. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1 - 1 - (-14 + 0 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 530244098 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*61362.\nAnswer: -12272.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 3. Let j be y(5). Let r(c) = -c + 1. Let a be r(-4). Sort j, 0, a in decreasing order.\nAnswer: a, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 963 and 76502539.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -9) + 13 + -22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e94c9 - 3?\nAnswer: -3e94cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*o + 8900*c + 10*o**2 + 127*o with respect to o.\nAnswer: -2*c + 20*o + 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(77)*1 + sqrt(77))\/(sqrt(11) + (sqrt(11) + sqrt(11)*-1)*1).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 18. Suppose 0*x - 5*x = -25, -2*i - n*x + 29 = 0. Let l be i\/3 + 6\/(-18). Solve -2 = -l*c + 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4 less than 1208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 42*g - 64. Give y(12).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 4 - (34 - 1)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5\/4*s**2 - 245\/2*s + 495\/4 = 0?\nAnswer: -99, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(5)*-1 - sqrt(5)) - (sqrt(320) + 0 + sqrt(320) + 2).\nAnswer: -18*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e - 0?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -21496 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*v = 58, 8*x - 7923*v + 2642*v + 2640*v = -2638*v - 124 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (19 - 18) - -1) + (53 - -5).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -199. Let r = -1433\/7 - q. Calculate the common denominator of -23\/6 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111032301313 (base 4) in base 9?\nAnswer: -11422454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((324\/(-108))\/(-6))\/(6\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252.6 - -253. Suppose 6 = 3*l - j + 19, -43 = 3*l + 5*j. Let h be ((-4)\/l)\/(8\/6). Which is the closest to h? (a) x (b) -1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4 = 1. Let d(r) = 0*r**5 + 1 - 3*r - 3*r**5 - r + 3*r. Let c(v) = v**5 - 1. Let t(y) = m*c(y) - d(y). Find the second derivative of t(f) wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 20*n - 1106. Determine w(54).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25172335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -519 - -526. Suppose -4*f = -0*h - h - 80, 5*h = -20. Solve 4*y + 3*g = f, y = x*g - 3*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 122.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000085167 rounded to six dps?\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*r**2 - 561*r + 561*r)*(-r + 6*r - r).\nAnswer: 408*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + sqrt(832)*3)**2 - (4 + (sqrt(13) - (sqrt(13) + -3)))) + -1.\nAnswer: 13304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33, -63, -79, -75, -45, 17, 117, 261?\n\"Answer: c**3 + c**2 - 40*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.11 * -0.4.\nAnswer: 1.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v\/v**(-25)*v)\/v)\/v*v))\/(v\/v**(8\/5)))**(4\/3) assuming v is positive.\nAnswer: v**(-488\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + f = 6, 2*l - 119 = -2*f - 137. Put -5, l, -6 in increasing order.\nAnswer: -6, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) 3\/4 (c) 90 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t - 1\/4*t**3 + 3 - 5\/4*t**2 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043 minus -0.5717521?\nAnswer: 0.6147521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 5*y + 4. Let i(g) = g**2 + 5*g - 4. Let b(n) = -3*i(n) - 4*u(n). Give b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836924*o**2 - 836924*o**2 - 148*o**3 + 263*o - 262*o.\nAnswer: -148*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*p + 693 = 1065. Let q = 13 - 14. Put 2, q, -2, p in increasing order.\nAnswer: p, -2, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.246? (a) -0.8 (b) -0.1 (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14184 is divided by 1813?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/90 + 44\/121*33\/18?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7843 = -52*z - 7323. Suppose 2*i - 560 = -3*i. What is the lowest common multiple of i and z?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287033730 divided by 28703373.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391825139?\nAnswer: 1187, 330097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 1)\/(2\/5). Let j(h) = -h**2 + h + 7. Let m be j(2). Solve 2*r + 20 = m*w - w, 4*r = -w + o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t - 7. Let l(s) = 4*s - 10. Let i be l(2). Let b be h(i). Solve b*z + 17 = m, -2*m + 2*z + 3*z = -30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -218.468?\nAnswer: 17.47744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (3 + -1) - (-1140 - -1121) - 91?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -1, 92, 32, -5 in descending order.\nAnswer: 92, 32, -1, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((2\/13)\/((-44)\/26 + 2)). Let f(i) be the second derivative of -k*i**2 + 0 + 1\/3*i**3 + 1\/3*i**4 - 1\/10*i**5 + 12*i. Solve f(d) = 0 for d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by ((-129)\/21 + 1)\/((-1)\/7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = -11 + 11. What is the second derivative of -i**2 + 2*i**2 + c*i**2 + 37*i + 52*i + 123*i**3 wrt i?\nAnswer: 738*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 15\/7, 1\/9, 2\/7 in decreasing order.\nAnswer: 15\/7, 2\/7, 1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2150 is divided by 368?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 125016797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1810045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2. Let o(c) be the third derivative of 19*c**4\/24 - c**3\/3 + 3*c**2 - 2*c. Let g(a) = -19*a + 2. Let s(p) = -3*g(p) - 2*o(p). What is s(f(k))?\nAnswer: -57*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 468*q**3 - 21*q**2 - 34*q + 97. What is the tens digit of w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from dnpttpnd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/15 and 1\/(-7) + -2*(-926)\/(-560).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 251, 376, -0.04, -3\/8, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/531405 and -6\/59045?\nAnswer: 531405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2333.9 - 2334. Let o = -0.02 - -2.02. Which is the nearest to h? (a) 4 (b) o (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5629.149 millennia to years.\nAnswer: 5629149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10 + 6 + 2 + 7*c + c**2. Let f(t) = -7*t**3 + 1. Calculate the smallest common multiple of d(-8) and f(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*j = 68, -3*j + 32 = -4*k - 305. Let y = -75 - k. Suppose 5*a - b = y, -3*a - 2*b + 1 = -12. Solve 0*i + i + a*v = 5, 4*v = 4*i + 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80370.5186 rounded to 0 decimal places?\nAnswer: -80371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6883, 13752, 20621, 27490?\nAnswer: 34359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-70)\/8 - (-6)\/8. Let v be ((-159522)\/4)\/(-2 + h). Let i = v - 4452. Calculate the common denominator of i and 34\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-6 + 5) - -3. Which is bigger: m or -2\/337?\nAnswer: -2\/337","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736)*-2 + -2 - (sqrt(114) + (2*sqrt(114)*3 - sqrt(114)))\/sqrt(6))*-2*1)**2.\nAnswer: 480*sqrt(19) + 68416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 17 + 113 = 0. Let r(q) = -q**3 + 4*q**2 + 4*q + 11. Let x be r(k). Solve 0 = w + t - 4, t = -5*w + x + 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -23*i**2 - 226*i + 867. Let y(n) = -3*n**2 - 30*n + 124. What is 2*g(m) - 15*y(m)?\nAnswer: -m**2 - 2*m - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3904484549 to the nearest one million.\nAnswer: -3904000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5742 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -17*l**2 - 4*l - 43. Let b(h) = -7*h**2 - 2*h - 21. Determine 7*b(j) - 3*w(j).\nAnswer: 2*j**2 - 2*j - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 694253 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8a (base 12) to base 2\nAnswer: 1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64167 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/187 - (-886)\/17. Let l = -40 + k. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*a = a - 1, 3*t + 5*a - 19 = 0. Let f(k) = t*k - 4 + 1 - 3. Let b be f(9). Calculate the highest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - (-70)\/(-4) - 3. Calculate the common denominator of 2\/(-7) + (-653)\/42 and 60\/y + (-1 - (-222)\/20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44.9, -3461, 24 in increasing order.\nAnswer: -3461, 24, 44.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a - 232. Let d = 288 + -266. Let c be k(d). Solve -c = -4*q + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*x = -101*x + 169*x + 340. Solve 0 = 2*n - 4*u + 14, x = -5*n - 26*u + 27*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-916)\/180 - -2) + 3. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 10 = 2*c, 3*c + 3214*g = 3215*g - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106*j**5*q + 60*j**4 + 5*j**3 - 2*j**2 + 90875*j*q wrt j.\nAnswer: -6360*j**2*q + 1440*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 2:53 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*p - 2*m + 11, -p = 5*m + 23. Let w(y) = y**2 + p*y**2 + 0*y**2 - 2*y**2 - 2. Is w(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -7. Let r be (-9)\/(-21)*13\/78*-4. Sort r, 0.7, j in descending order.\nAnswer: 0.7, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16513\/1348)\/((-7)\/(-12))*(4 - 92\/12)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/4 and -137\/99678.\nAnswer: 199356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152026830?\nAnswer: 2, 3, 5, 631, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + -2 + 0 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-3 - 4579670\/(-191275).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*w - 13 = -0*w, d - 4*w = 67 - 50 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 3. Let s(w) = 1. Let y(a) = 2*l(a) + 5*s(a). Let f be 1\/(-3) - (-4)\/(-6). Calculate the least common multiple of 6 and y(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5471, 11267, 17081, 22919, 28787, 34691, 40637?\n\"Answer: s**3 + 3*s**2 + 5780*s - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -9\/5*s**3 - 4\/5*s + 9\/25*s**5 - 12\/5*s**2 + 1\/10*s**4 + 8. What is d in m(d) = 0?\nAnswer: -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i - 6 + 0 + 5 + 9*i to the form w + t*i and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 45283560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/18*(-24)\/(-20). Let n = 26076.6 + -26077. Which is the nearest to -3\/2? (a) y (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 698655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -363883\/24 + 15157. Calculate the common denominator of -9 - (10 - 1 - (9 + (-679)\/(-56))) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60126 by -30063.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o - 196 = -70 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -216, -217, -218?\n\"Answer: -r - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1824, -7118, -15676, -27282, -41720, -58774, -78228?\nAnswer: -99866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*x + 22 = 0, -4*x = -o + 6*o + 37. Let j be (-17)\/(-3) - o\/(-3). Solve -j*r = -7*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 70171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h + 28*h = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 34, 0, -3632 in descending order.\nAnswer: 34, 4, 3, 0, -3632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-1)\/(2\/6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180016 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 242. Let d be 1 + -1 + 1 + 93. Let h = c - d. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 3, h: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-105)\/50 - -4) + (-4)\/30*3. Factor 7\/4*g + s - 3\/4*g**2.\nAnswer: -(g - 3)*(3*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224864 times -0.8\nAnswer: 179891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 82.97. Let m = 86.03 - q. Let z = m + -85.00000148. Round z to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v**3 + 2*v**2 + 2*v - 2. Let m be 2\/56*-21 - 22\/(-8). Let s(p) = 8*p**3 + 3*p**2 + 3*p - 3. Calculate m*s(w) - 3*c(w).\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12606 and 262372?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -653, -1000, -1351?\nAnswer: -1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = 10*q - 7*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -1883, -4240, -7539, -11780, -16963?\nAnswer: -23088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -420628?\nAnswer: -31\/105157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.420212l?\nAnswer: 3420.212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 27*x - 12 = 0. Suppose -16 = -5*l + 2*b, 0*b = 5*b + 15. Sort -2, x, l in increasing order.\nAnswer: -2, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8411982 rounded to 2 decimal places?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**18*n**(-13)*((n**(-21)\/n)\/n)\/n*n**(-22)*n*n)**45 assuming n is positive.\nAnswer: n**(-1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2178 - -2333. Solve n = 3*q + 158 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -43*l + 44*l - 3 + 0. Let i = -7 - -10. Determine k(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-136)\/(-12))\/((-2)\/(-3)). Let r = 46 - o. What is the remainder when 55 is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 5:54 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = f + 3. Let v = f + -4. What is the third smallest value in -0.5, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -275638*f**3 + 367266*f**2?\nAnswer: -1653828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + 33795396. Let i(l) = 2*l. Determine z(i(h)).\nAnswer: 16*h**2 + 33795396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**6\/120 - i**4\/24 - 4*i**2. Factor s(r).\nAnswer: r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*g - 2752 = 8642, -3*g + 22774 = 4*i. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123571?\nAnswer: 7, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.463 + -0.037. Let f = 2.9 + -3. What is the nearest to f in -1, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a = 0. Let o = -49 - -54. Solve 0 = -h - 2*h + 6, o*v + 4*h - 23 = a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 843\/(-4) - (-99)\/132. Let t = -208 - x. What is the remainder when 5 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1470016041 + 1.147. What is f rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 less than -4291.303?\nAnswer: -4486.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) -2\/2045 (c) -1.2 (d) -1\/3 (e) 3\/86 (f) 0.3 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16002, 63959, 143888, 255789, 399662, 575507, 783324?\nAnswer: 1023113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9210 - 9200. Solve -2*n = k*n + 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**8*y)\/((y*y*y*y**(-2)\/y)\/y*y)*(y*y**(-1\/2))\/(y\/y**4) assuming y is positive.\nAnswer: y**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56952929 to the power of 1\/3, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eefeeeeeefee. Give prob of picking 4 e.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34088082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 1\/6, 2\/9, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9615.\nAnswer: 3, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/((18\/(-21))\/3). Suppose 3*o = g - a, -2*o = -2*g + 12 + 28. Suppose x + x = g. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**2\/2 - 5*x + 16. Let z(v) = -1. What is 4*g(m) - 18*z(m)?\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 0*q**4 + 0*q**2 + 0*q**5 + 0*q**6 - 28 + 0*q - 19\/3*q**3 - 25\/7*q**7. What is the third derivative of i(g) wrt g?\nAnswer: -3000*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5645048 or 5645047?\nAnswer: 5645047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61743 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*f**6 + 97*b**3*f + 2*b**3 + 765266*f**6 - 428*f**2 wrt f.\nAnswer: -120*b**3*f**3 + 91831920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 160040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 13*c = -10. Let v be (-48)\/10*20\/(-3). Suppose -d + 4*r - v = -5*d, 20 = 5*r. Sort c, d, 0.\nAnswer: c, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22157490 divided by 5.\nAnswer: 4431498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o - 2*j = -328 + 176, o - 2*j + 29 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4*39\/208*(-2)\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 14*g. Let y be 26\/10 - 2\/(-5). Let m(x) = 0*x + 0*x + y*x - 2*x. What is r(m(h))?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 368 + -547. Let t be (j\/(-537))\/((-1)\/18750*-2). Round t to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 6*w**2 + 17. Let s be q(-6). Suppose 0 = -s*k + 7*k - 5670. What is k rounded to the nearest ten?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*f**3 - 43*f**3 - 83*f**3)*(-3*f + 2*f - f)*(-3*f + 0*f + 2*f).\nAnswer: -464*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -192*i**3 - 2*i - 1. What are the prime factors of k(-1)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 2\/7, 3, 1\/2, 51?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -3, 4 in decreasing order.\nAnswer: 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 1 = -3*t, -8*z + 5*t + 39 = -9*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z - 17*z + 84*z.\nAnswer: 88*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trr when three letters picked without replacement from rtzrtzrtrhrhrzhhthtz.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + 2 - (sqrt(72) + 0 + sqrt(72)).\nAnswer: -10*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v**2 - 6*v. Let i = 118 - 95. Let f(z) = -5*z - 14*z + 4*z - 2*z + i*z**2. Calculate -17*c(b) + 6*f(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 71*i. Let d(q) = -178*q. Determine d(o(p)).\nAnswer: -12638*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 187?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 4*n**2 - 18*n - 76. Give s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1424)\/3560*(40\/2)\/((-2)\/(-13))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -21, -5, 5 in ascending order.\nAnswer: -21, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93233142 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 209034*f - 1881390. Give s(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**5 - 3*n**3*p**3 + 262*n**2*p**3 - n*p**3 + 68*n*p**2 wrt n?\nAnswer: 20*n**3 - 18*n*p**3 + 524*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12441000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 6*x + 5. Let m be c(0). Put 4, 2, -23, m in increasing order.\nAnswer: -23, 2, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000185 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j**2 + 30*j + 13. Suppose 13*y - 62 = -114. Let g be w(y). What is the highest common factor of g and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmpmmppmppppr. Give prob of picking 1 r and 1 m.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 2. What is m(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -1\/7, 18?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**2\/2 - 29. Let p(r) = -5*r**2 + 3*r. What is d(p(v))?\nAnswer: 5*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665855?\nAnswer: 5, 19, 43, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 78*n = 74*n + 10, 2 = -5*z + 4*n. What is the third biggest value in 0.3, -20, z, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -22. Let q be (6\/44)\/(9\/y). Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2954 - -1085993639.\nAnswer: 1085993638.7046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86092335 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) + (sqrt(960) - 1*sqrt(960) - sqrt(960) - sqrt(960)) + sqrt(960) - sqrt(960))\/(4*sqrt(24)\/sqrt(2)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -1 - 1\/3*v**3 + v**2 - v. Factor g(c).\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 32 - 36. Let h(t) = t**2 - 3*t - 8. Let m be h(6). Let g = q - m. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6979738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4080 and 23\/102.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**2 + 17*y - 258. List the prime factors of p(16).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -6. Let x = 121.818 - -1.382. Let j = x - 123. Which is the second biggest value? (a) j (b) 1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -m + 44 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -280 - -1875. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(363)*-4)**2*5.\nAnswer: 1045440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -97202, -195941, -294680, -393419, -492158, -590897?\n\"Answer: -98739*k + 1537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*v + 37, -2*v + q + 16 = 3*q. Suppose 0 = -2*c + v + 5. Calculate the remainder when 7 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from hssjh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 108, -0.25, 1, 2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -769.5 + 769.1. Let i = 11 - 8. Let j = 3.1 + -3. What is the smallest value in i, h, 1\/2, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 5*x - 27, 7*x + 9 = 2*g + 53 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((-70)\/(-1785)) + 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63918661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 710, 721, 740, 767, 802?\n\"Answer: 4*d**2 - d + 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 2 + 4 - i. Let s be x(-4). Let a = s + -13. Put a, 3, 4 in decreasing order.\nAnswer: a, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1435*d**2 + 267*d - 9. What is the tens digit of m(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 3. Calculate k(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-224)\/(-70) - 2\/10. Suppose 11*d = j*d + 1264. What are the prime factors of d?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 47483 = -g + 4*r, -5*g + 237392 = 3*r. Let u = -427479 + g. Round u to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4 + 68*o**3 + 250*o**2 + 304*o + 120 = 0. Calculate o.\nAnswer: -30, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 447106 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 307494140 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: Round -353.42529 to the nearest integer.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1218, 1, -3302, -9735, -20342?\nAnswer: -36167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 276*r**2 + 1150*r - 1977. Let f be b(142). Suppose -3*v - 5*y = -40, 4*v - 2*y = v + 5. Solve v*k - f = 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 5.\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -251*w - 15. Determine a(-1).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*w + 3*w. Let o be (-2 + 0)\/2 - w. Let f be (o\/(-6))\/((-7)\/4). Sort 3, -1, f in ascending order.\nAnswer: -1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 28 = -34 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149*z**2 - 63*z**2 + 19*z**2 - 103 - 97*z**2 wrt z.\nAnswer: -580*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -94*m + 86*m + 83955*m**2 - 83953*m**2. Let p(s) = -66*s. Determine p(g(z)).\nAnswer: -132*z**2 + 528*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 5*p**2 + 6*p - 9. Let u be c(4). Which is greater: 71 or u?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 50 = 3*a. Suppose 5547*i = 217*i + 4605120. What is the highest common divisor of i and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3100922\/171367 + -2\/73443. Let g be 19398\/(-1260) - (-2)\/10. Let j = v - g. Calculate the common denominator of 29\/10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsdgvgvoooovvonvsddg. Give prob of sequence ndo.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j - 41 - 36. Let q be j + 576 + 1 - (0 + 0). What is the greatest common factor of 30 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 9:18 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*2 - sqrt(1872))*4)**2 + ((sqrt(1872) + 1)*-5)**2 - (-1*(sqrt(1872) + sqrt(1872) + sqrt(1872)*-2 + sqrt(1872)))**2*-3.\nAnswer: 600*sqrt(13) + 82393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 7. Let d = 9 + x. Differentiate -3 - d*f**3 + 1 + 7*f**3 with respect to f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 + 427. Suppose -14*c + y = 4*c. Solve -4*i - c = 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 727809 = n + 4*o, 4*n - 2911140 = -4*o. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 708 and 109563?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/320 and 7\/2.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 4*u. Let g(k) = k**3 - 2*k**2 - 9*k + 8. Let b be g(4). Determine m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -219, -224, -235, -252?\n\"Answer: -3*j**2 + 4*j - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -27, -17 in increasing order.\nAnswer: -27, -17, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 163 = 131 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 1:51 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -155170226*q - 33980758 wrt q?\nAnswer: -155170226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 2*i + 1. Let x(y) be the first derivative of 7*y**3\/3 + 5*y**2\/2 - 3*y - 29. Let j(m) = 8*g(m) + 3*x(m). What is the tens digit of j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*h - 15*h**2 + 0*h - 2*h**2 + 18*h**2 to the form w*h + i + m*h**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -449 minus -0.02?\nAnswer: -448.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(4 + 1*(-5*(sqrt(192) - sqrt(192)*3) - sqrt(192)))**2)*6.\nAnswer: -373614 - 13824*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -3531*s + 3516*s + 35, 2*s = 5*p + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91669, -91948, -92229, -92512?\nAnswer: -92797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 54. Suppose -18 = -2*f - 0*f + t, -2*t - h = -3*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*m**5 + 37*m**2 - 6*m**5 - 49*m**5 + 32*m**2 wrt m.\nAnswer: -3300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 39*d. Let j(l) = -701 + 255*l + 701 - 137*l. What is 5*j(i) - 16*x(i)?\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 + s**2 + s - 3. Let w be i(5). Suppose -2*o - w = 4*o. Let k = 94 + o. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23599.89ml?\nAnswer: 23.59989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 720 - 719. Suppose -25 = -4*f - 9. Sort d, -1\/4, f, 4\/9 in decreasing order.\nAnswer: f, d, 4\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 2, -44, -1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40206 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7800 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/68 and 103\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 145540 divided by 36385?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) - (sqrt(10)*3 + sqrt(10))\/sqrt(2))) + 0)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -273775 != -274533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 9 = 0. Let t be 2*3 + -2 + w. Suppose -4*s - 3*f = -4, 0 = -3*s + t*s + 2*f. What is the third smallest value in -3, s, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/55070 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -3*f - m + 10, 2*m + 12 = -f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + -42364029743.\nAnswer: -42364029742.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 14*b**2 + 3*b**2)*(0 + 1 + 1).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 15. What is the highest common factor of 70 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = 113 + 130 - 75 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**10\/((l\/l**6*l*l*l*l)\/(l*l\/(l\/(l**4*l)))) assuming l is positive.\nAnswer: l**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.4. Let l = 3 - f. Which is the closest to 1? (a) 4 (b) l (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t - 2 = -3*d, -2*t - 5*d + 8 = 0. Solve -2*c - 4 + t = 0, 4 = 3*o - c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143841292741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 9*g = 80. Suppose 6*q = 2*q + g. Suppose -5*j = -3*f - 6588, -2*j + q*f = 85 - 2723. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/123 and -1\/16176632?\nAnswer: 48529896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 - 130. Let f be (-2)\/(-8) + 45\/12. Suppose 0 = -m*x + w + 10, -2*w - 16 = -f*x + 2*w. What is the greatest common factor of 18 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5304 + 5332. Solve -17*u = -l*u + 77 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*w - 228 = 63*w. Suppose w = 5*c + 12. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.45495 and 6.91.\nAnswer: 3.1437045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10746.123711 rounded to the nearest 100?\nAnswer: -10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 11}. Give prob of picking 4 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267745?\nAnswer: 5, 53549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u + 264 = -43*u. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-10)\/9*12\/10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -254*k**3 + 3*k**2 - 4*k - 3. Let f(x) = 251*x**3 - 4*x**2 + 5*x + 4. Determine -4*b(v) - 3*f(v).\nAnswer: 263*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 1688456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1382) + 0\/(-14). Let y = -986 - p. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = -q + 110. Suppose -92 = -q*d + 18. Solve -m = m - d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 3 - 3)*(-2*z**4 + 2*z**3 - 2*z**3) + (-z - 3*z + 2*z)*(3*z**4 - 5*z + 5*z) + (2*z**5 - 4*z**5 + z**5)*(2 + 2 - 7).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 97 = -108. Suppose -3*s - s - 2*p + 46 = 0, -3*p = 4*s - q. Is 2 a factor of (12\/s)\/((-3)\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 998156*s\/9 - 124539425042\/9.\nAnswer: -2*(s + 249539)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -580248, -1160724, -1741202, -2321682?\n\"Answer: -i**2 - 580473*i + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**2\/2 + 1. Suppose 7*g + 2 = 8*g. What is the units digit of j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-1 - -6) + -2 + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 200690.8972 to the nearest 1000.\nAnswer: 201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 491\/(-4) - (-6)\/(-24). Let y(r) = -r + 1. What is the least common multiple of y(0) and t\/(-12) - (-3)\/(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/(-12) + 52\/3. Let i = 26 - o. Put -3, -0.4, 16, i in descending order.\nAnswer: 16, i, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00397 and -1.1.\nAnswer: 0.004367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 3. Suppose 8*h - 3*h - 85 = 0. Suppose 4 = f - 4*j, j = -3*f + f + h. What is the greatest common factor of f and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z**2 - 1 - z - 39*z + 41*z to c*z**2 + o + w*z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 37*t**2 - 5*t + 2. Let d be y(3). Suppose 2*v + 2*v - d = 0. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.189 rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2330409626?\nAnswer: 2, 1051, 1108663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001505879 rounded to 5 dps?\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6111522 to the power of 1\/2, to the nearest integer?\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 - -120. Suppose c*d = 4*l + 670, d + 4*l = 152 + 213. List the prime factors of d.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1157226, 5, -5, 1 in decreasing order.\nAnswer: 1157226, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -508, -509, -510, -511, -512?\n\"Answer: -l - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 2*u**2 + u. Let y(i) = -10*i**3 - 9*i**2 - 4*i. Let v(m) = -4*w(m) - y(m). Give v(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-7))\/(r*r\/r**9))\/(r*r*r**(-3)*r*r**(-6)))**(2\/61) assuming r is positive.\nAnswer: r**(44\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-142)\/(-8) + (1680\/5184 - (-2)\/(-27))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 119370408*i + 2374882384347744.\nAnswer: 3*(i - 39790136)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 8*m + 9. Suppose 0 = 5*d - 2*w - 16 - 18, 0 = -5*d - 3*w + 49. Give a(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4394 and 3974373.\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/48 + c**3\/2 + 10*c + 5. Solve s(o) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 j when three letters picked without replacement from {j: 1, s: 2, i: 4, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 413.0708 + -413. What is c rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6) - (2 - 0)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 2847 + 2763. Which is bigger: x or -509?\nAnswer: -509","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810 = 32*o + 938 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 2*t**2 + t. Let h(s) = -113*s**3 + 10*s**2 - 5*s - 107. Let y(a) = -h(a) - 5*j(a). What is the first derivative of y(b) wrt b?\nAnswer: 324*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111\/37)\/(-3*(-5)\/(-10))*(-2)\/(-150).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11197625*r**3 + r**2 + 4732673*r.\nAnswer: 67185750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 7*c**2 + 5*c + 2. Let m be b(6). Let l be -1 + 3 + 1 + m. What are the prime factors of (-11 + 2)*l\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-6))\/(6\/(-60)). Let w(q) = q - 1. Let x(f) = 7*f - 5. Give r*w(j) + x(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 402759405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2230603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 1.3. Let q = -1.9 - p. Which is the smallest value? (a) 2 (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.14607km in millimeters?\nAnswer: 61146070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4134921?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 47078993?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:16 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d. Let f(o) be the first derivative of -14*o**3\/3 - 19. What is g(f(v))?\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c - 5. Let m = -18 - -21. Let x(u) = 1. Let a(d) = 9*d - 7. Let l(w) = -a(w) + 2*x(w). Give m*l(h) + 5*r(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 4*g. Let s be j(-4). Let z(u) = s*u - u - u. Let b(c) be the third derivative of c**4\/12 - c**2. Calculate z(b(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 85\/4. Put 0.4, -1\/7, y in increasing order.\nAnswer: -1\/7, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 13 = -32*y - 3*k, -4*k = -5*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 3*v**2 + v - 2. Suppose 3*j - 5 = 4. Let s(y) = 3 + y + 0*y - 3*y - 2*y**2 - 4*y**3 + 7*y**2. Calculate j*s(w) + 5*c(w).\nAnswer: -2*w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048739662 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3582*g + 14460*g + 1070*g + 9736*g)*(1 + 2 - 4) to the form u + p*g and give p.\nAnswer: -28848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 7791621.3 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3155*q - 59. Let h be w(9). Let l be (-2)\/(7935\/h - 4\/14). What is the highest common factor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 1. Let t be (-32)\/(-6) + 2\/3. Suppose t*m = 10*m. What is the biggest value in -0.3, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 67\/(-12) + 1 - (2 + -5). Let w = -4\/3 - g. Let t = 0 + -18. What is the third smallest value in w, t, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -4*d - 12. Suppose -d*k - 4*c = -12, k + 0*c + 4*c - 2 = 0. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2355.\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-99)\/(-44) - (-1)\/(-4). Suppose -b + 13 + 3 = -j, -b = d*j - 31. What is the lowest common multiple of 15 and b?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1145811\/15380 - 1\/15380. Let k be (12\/(-10))\/((-3)\/190). Which is greater: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 4 in decreasing order.\nAnswer: 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*t + 11, -t + 0 - 5 = 0. Suppose -o + 3 + 3 = 5*i, 0 = -4*i - 2*o. Let s(h) = -f*h - h**i + 7*h. Let x(v) = v**2. What is s(x(q))?\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 99\/(-3*1)*7. Let q = 183931\/639 + -4020\/71. Let x = h + q. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {t: 1, m: 1, v: 1, x: 3, j: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2180.3 - -2181.3. What is the nearest to -8 in -2\/5, 0.217, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-117)\/489) + -3*(-42)\/(-18). Factor -2\/13*p**2 - h + 24\/13*p.\nAnswer: -2*(p - 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9459 and 171185829.\nAnswer: 3153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 53 = 41. Let h be 1\/(-12)*3 + (-39)\/(-12). Let p(x) = h*x**2 + 6 + 4 - 4*x**2 - 5. What is p(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 38*g**2 - 4*g + 7. Let z be (-4)\/(-34) + (-608)\/(-323). List the prime factors of k(z).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -277 (base 11) to base 12\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*o = 17, -5*l - o = -12 - 11. Find the third derivative of 58*n**5 + 0*n - 10*n**l - n + n**2 wrt n.\nAnswer: 2880*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 + 531328?\nAnswer: 531301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 12:51 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -74. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 74. Suppose 0 = 5*o + d*w - 383, 0 = 4*o + 4*w - 5 - 303. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18104)\/(-12) + 396\/99. Is 1512 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -65. Let u(n) = -79 + 32 - 16*n - 2*n - 32*n. What are the prime factors of u(o)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*k + 13, -j = 2*k + 6. Let i be 1 + (8\/10)\/(j\/(-40)). Suppose i*l = -v, -2*v = -2*l + 5*l. Solve v*u - 2*u = -2*c, -c + 12 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/1260 and -83\/1607620?\nAnswer: 14468580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 125*i - 25. Let p be r(2). Suppose 19*v + p = 34*v. Calculate the smallest common multiple of v and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54, 101, 134, 147, 134, 89, 6, -121?\n\"Answer: -m**3 - m**2 + 57*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1606 and 87736?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (4 + -2)\/1. Factor 2*n**3 + g*n**3 - 5*n**3 - n.\nAnswer: n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 4:09 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -7 + 14 + 1 - (-2 + -230) and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/5 - 3)\/(3\/6). Suppose -3*v - g + 15 = 0, -3*g - 1 = -v - 2*g. Let f = v - t. What is the lowest common multiple of f and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 5*z - 1. Suppose -4*k - 18 = -2. Let s be h(k). Solve -28 = s*g - 5*i, 5*g + i - 5 = -i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 - 185*a - 2742. Give k(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2416*i**2*s - 16*i**2 - 3*i*s + s + 533 with respect to s.\nAnswer: 2416*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 2313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 9*p - 3. Give w(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2108228247?\nAnswer: 3, 73, 101, 31771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 47*q**2 + 466*q + 27620. Give m(-49).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*v - 526*v + 1 - 1.\nAnswer: -1230*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-1 - -5)) + 6 + -39?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 12 - (6 - (3 + 11))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2. Let n(k) = -2*k - 54. Let t(i) = -30*i + 175. Let q(a) = -3*n(a) - t(a). What is q(u(f))?\nAnswer: 144*f**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 36576 = -2*c, c - 18284 = 2*a - 4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n*x*z**2 - n*x + 137*n*z**2 - 126*x*z + z wrt z?\nAnswer: 4*n*x + 274*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**6 - 8*j**3\/3 - 12. Find the third derivative of z(q) wrt q.\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Suppose 215 - 12 = s*x + 3*o, -5*o + 72 = x. Let a = x - 27. Calculate the lowest common multiple of a and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k + 40*k + 76 = -5*p, 0*k - 5*k + 108 = -0*k - 3*p for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 25423, 2, 4, 15, -2, 0 in decreasing order.\nAnswer: 25423, 15, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 19. Suppose -40 = -19*s + 11*s. Let x be r(s). Calculate the greatest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 201 and 15.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0*f + 9*f + 4*f + 0*f - 7*f. Let z(l) = 15*l**2 - 3*l. Give i(z(c)).\nAnswer: 90*c**2 - 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from {o: 6, p: 6, w: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -21*(-3)\/(-24)*84\/(-63). Solve w*x - 5\/2*x**2 + 1\/2*x**3 - 3\/2 = 0 for x.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1300)*6)**2 + 2 + -4 + 3.\nAnswer: 1170001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1987 and 105.\nAnswer: -125.8635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2002?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 254245 divided by -5?\nAnswer: -50849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-6)\/(-3) + -28)*-1 and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 75541 + p - 2*p - 5541 + 0*p. Let c be v(0). Round c to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248440.37 rounded to the nearest one hundred?\nAnswer: -248400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 23481.\nAnswer: -7044.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*p + 78*p - 1 - 39*p + 54*p.\nAnswer: 141*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2 - 126*y**2 + 121*y**2 - 3 + 17*y**3 + 4*y + 2*y. List the prime factors of v(2).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5389328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**3 - 2*s**2 - 3*s - 1. What is h(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 1, i: 1, x: 1, j: 1, l: 2}. Give prob of picking 1 i and 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(-1 + 1). Let p(v) = -v**2 + 0*v**2 - v**2 + y*v**2. Let s(m) = -m**2 + m**2 - m**2. Determine p(s(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 1\/10*o**5 + o + 0*o**2 + 1\/4*o**4 + 0 + 0*o**3. What is the third derivative of k(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j + 193007. Let l(d) = -d**2. What is m(l(i))?\nAnswer: -7*i**2 + 193007","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-26))\/3*(-4353 - -4354)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o**4 - 25*o**2 - 45*o**3 + 52*o + 6*o**4 - 26*o**4 - 5*o**5 - 2*o**5 - 12 = 0. Calculate o.\nAnswer: -1, 2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122676640?\nAnswer: 2, 5, 71, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2430, 19393, 65422, 155049, 302806?\n\"Answer: 2422*l**3 + l**2 + 6*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -12, -4*i + 2*c = -3*c + 7. Let w be i\/4*(9 + -5). Suppose f - w*f + 4 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-1160)\/(-1158) + -1). Let d = -2379\/4 - j. Calculate the common denominator of d and (-594)\/28 - 4\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 13*n - 21. Calculate the remainder when z(5) is divided by 2*(-6)\/(-8)*10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 14*y**2 + 0*y + 11 - 28*y**2 + 15*y**2 to r*y**2 + o + h*y and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -694 - -705. Find the second derivative of 28*d**5 - d + 0*d**3 + 43*d**5 + 0*d**3 + q - 51 wrt d.\nAnswer: 1420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -6\/5, 0.1, 20, 1, 1\/3 in descending order.\nAnswer: 20, 1, 1\/3, 0.1, -6\/5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 - (1 - -1 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 12*g**2 + 13*g + 5. What is v(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 381775337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(33\/110) + 2288\/224?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 + 3*b**3 - 2*b**3 + 3 - 6*b + 8*b**2. Let o be h(-6). Solve -4 = -o*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 101, 83, 61, 35?\n\"Answer: -2*v**2 - 12*v + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 equal to 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 - 4*v + 2. Let z(y) = y**2 + y - 1. Let j = 0 - 0. Suppose j = -4*o - 6 - 6. Let q(b) = o*p(b) - 8*z(b). What is q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42331 + 6?\nAnswer: -42323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 3*h**4 + h - 2*h**3 + (-3 + 2*h**2 + 3)*(2*h**2 + 0 + 0) + 3*h**4 - 3*h**4 + 2*h**4 + h**4 + 3*h**4 - 5*h**4.\nAnswer: 2*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 13*s - 195 = 0. Let j = s - -85. Solve -4*n + v - 2 = 11, 0 = 4*v - j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 7*g - 13. Let q be b(8). Let f be q + 36\/(-42) + -3. Let d be 1*-7 - (0 - -1). Which is greater: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55029 - 16531. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*10\/(-40).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -31, -2, -35, -68 in decreasing order.\nAnswer: 6, -2, -31, -35, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*j - 4*j - 6*j - 2*j to l + c*j and give c.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 4. Let r(h) = 10*h - 1. Let z(a) = 16*a - 1. Let p(t) = 10*r(t) - 6*z(t). What is -6*p(j) + 5*v(j)?\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13 and -49\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-5))\/(368\/(-1380))*(-2)\/(-114)*1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135746 + -63800653\/470. Find the common denominator of i and -73\/4.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.3. Let o = -5.8 - -18. Let f = o - 4.2. Which is bigger: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -791.892 - -795. What is a rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/23, -1267\/5, -3, 1\/5, -4\/9, -4\/5, 48?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/84)\/((-2)\/(-4)). Let l = -273 - -273. Which is the closest to l? (a) -2 (b) d (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 divided by 27095?\nAnswer: -217\/27095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/15013984 and 35\/505808.\nAnswer: 1516412384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*m, 2*i + 2*m = m. Suppose 2*u - 16422 + 2162 = i. Let b = 930 - u. What is b rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 53\/(((-2)\/3)\/((-4)\/(-6))). Let w = 48 + i. Let v(m) = m**3 + 7*m**2 + m - 9. Is v(w) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -135 + 139. Suppose -18*n + o*n = -6706. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 23. Let s(g) = -2*g + 6. Let x be s(0). Let l be c(x). Solve -3*a - 1 = l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*9\/15)\/((-9)\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 387*h. Let c(u) = -u. Determine b(c(q)).\nAnswer: -387*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4745 = 225*o - 920 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -25. Let a(z) = 7*z**3 + z - 3. Let w = 80 - 78. Calculate the remainder when a(w) is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944983.\nAnswer: 13, 157, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*r - 8. Let o be (r - 6)\/((-4)\/(-6)). Suppose -3*i - o*i = 0. Solve 4*m - 7 + 3 = i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 5*b**2 + 2*b. Let v(h) = 8*h + 65. Calculate the lowest common multiple of v(-5) and i(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from sccycssyccsycssccs.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/2 + -6 + 26 - 2. Let z(i) = i**2 - 13*i - 7. Is z(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 9 = -n + 2*j, -240 = -5*n + 5*j. Let u = n - 44. What is the closest to u in -2\/19, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2572497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 1:37 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:57 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 42*z - 116. Determine k(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.2 times -326.6?\nAnswer: 53954.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 2*z + 3. Suppose -2*c = -15 + 7. Suppose 0*s - 2*d = -2*s - 6, 9 = -3*s - c*d. What is q(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 9*u = -304. Calculate the remainder when 63 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 - -386. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 17786*p\/3 + 17792.\nAnswer: -2*(p - 3)*(p + 8896)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 3, 19, 133 in ascending order.\nAnswer: -5, 3, 4, 19, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*o - 195 = 0, 58 = a + 6*o - 5*o. Suppose -a*d + 74*d - 286663 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2006*r. Let x(a) = -14*a**2. Determine x(u(j)).\nAnswer: -56336504*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*u + 14*u - 37*u to y*u + j and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3390346 less than -3390343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.129.\nAnswer: -0.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-20)*20\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 112 = -2*u - 25 + 243, 22 = -v + 5*u for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 2 - 2*y + 0)*(-1 - 2 + 0) to b + k*y and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4713 - -50889. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2.6. Let y = 4 - 6.6. Let a = t + y. What is the third biggest value in a, 0.3, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**4\/12 - 7*l**3\/6 + 4*l**2 + l + 3. Let w be h(6). Solve 0 = p - w - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 r, and 1 n when four letters picked without replacement from phnrknrrnhr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/5, -2\/5, 31, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 6*c - 5. Let l be a(-7). Factor f - 5 + 1 + f + 2*f**2 + 2 - l*f**3.\nAnswer: -2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.66 * -63.\nAnswer: -2183.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 795456 and 364584.\nAnswer: 8750016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530164 is divided by 176696?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**(-2\/13)*(o*o*o*(o\/(o*o**0\/o*o))\/o)**9 assuming o is positive.\nAnswer: o**(228\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) -5 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -y + 7, 290*x - 10 = 285*x + 5*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 2243064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 3*n**2 + n - 10. Calculate t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 - 3*n + 1. Let w be r(-3). Let y be 8 + (-31 - 8 - 6). Let o = w - y. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 15*c - 2625 = 0. Let z be (c\/(-20))\/5 + (-1)\/4. Let d(l) = -2*l - 9. What is d(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 13678528?\nAnswer: 1367852.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11399 + 22797\/2. Let v = 0.3 + -2.3. What is the closest to d in -4, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 23*j**2 + 53*j - 213. Let d be v(26). Does -864 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324107?\nAnswer: 7, 46301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 - 7130*i + 14247*i - 7121*i.\nAnswer: -4*i - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/((p\/(p\/((p\/p**(-2\/15)*p)\/p))*p)\/p*p*p*p))\/(p**(-2\/7)*p**6)*((p**1)**(4\/13))**(20\/3) assuming p is positive.\nAnswer: p**(-5182\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = -5*v + 13, v + 4*s + 11 = 0. Suppose -v*g + 18 = l, 2*l + 0*g - 2*g - 84 = 0. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6822640, -6822599, -6822522, -6822391, -6822188?\n\"Answer: 3*j**3 + 20*j - 6822663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g**2 + 6 + 29*g**2 - 6.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1028299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437 less than or equal to 3434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467456 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28422?\nAnswer: 2, 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(sqrt(425) + 1 - sqrt(17)) + 2)**2 - (-1 + -1*sqrt(153) - sqrt(153) - (sqrt(153)\/(sqrt(18)\/sqrt(2)) + 3)).\nAnswer: 343*sqrt(17) + 9845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7406 and 239.\nAnswer: 1770034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + o - 91697 = 0, -4*b - 23*o = -20*o - 183389. What are the prime factors of b?\nAnswer: 13, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 6.81\nAnswer: -0.4767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from kkkkkkooomkomk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-63) - (2\/2 - 120980\/28) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203 + 204. Let h(d) = -d**3 - 2*d**2 + d + 3. Let m be h(-3). Let t be -7 + m + (2 - o). Solve 11 = t*z + 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25277597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffyffy. What is prob of sequence fyff?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3 + (-1 - 1 - 1)*(-1 - 12 - 7))*(-42*o - 27*o + 5*o) as p*o + h and give p.\nAnswer: -3968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -14. Suppose -2 - 5 = -2*s + m, -y*s + 4*m = -13. Does 14 divide 16\/s*(-140)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-5)*(0 + 5). Suppose -5*w + 4*r = 28, -2*w - 340 = -2*r - 324. Solve t - w*z = -z - 1, 0 = x*t - z - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -47*f + 241. Let r be w(5). Let m(c) = -2*c + 4. Let d(u) = 2*u - 3. What is r*d(i) + 5*m(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.38 - 0.068. Let t = 0.703 - x. Round t to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -1838?\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5542.308 decades?\nAnswer: 55423.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/3172 and 131\/156.\nAnswer: 9516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -239 and -240 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -286, -585, -908, -1261, -1650?\n\"Answer: -j**3 - 6*j**2 - 274*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 28*z + 7*z + (3 - 4 + 0 + (7 - 3 - 2)*(1 - 4 - 3) + 2 + 0 - 4)*(0*z + z + 0*z).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 987709, 987399, 987087, 986773, 986457, 986139, 985819?\n\"Answer: -q**2 - 307*q + 988017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {r: 1, u: 3, g: 5, y: 4, s: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 48*b - 38*b. Let l(y) = y**2 + y**2 - y**2. Let o be l(-1). What is the nearest to o in 3, b, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0 - 4\/7*w - 3\/7*w**2 + 1\/7*w**3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + w - 68. Calculate the remainder when 135 is divided by w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -95. What is the lowest common multiple of 21 and x?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(-48)\/12*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 93*z + 24. What is u(-2)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 2*v**2 + v**2)*(2*v**2 - v**2 + v**2) - 2*v**4 + v**4 + 0*v**4 + v**4 - 2*v**3 + 2*v**3 - 1407*v**4 - 518*v**3 + 518*v**3.\nAnswer: -1409*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 228, 247, 276, 321, 388?\n\"Answer: a**3 - a**2 + 15*a + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10842430 and 113\/138650?\nAnswer: 54212150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 = -2. What is the common denominator of ((-1323)\/784)\/(((-9)\/(-3))\/12) and (1\/z*-38)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtt when three letters picked without replacement from {s: 4, t: 2, d: 2, m: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10847 + -10826. What is the smallest common multiple of i and 1413?\nAnswer: 9891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 0 = 3*n - 1, 5*h = -5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**3\/6 - q**2\/2 + q. Suppose 5*z + 4*i = 60, -z - 5*i + 57 = 3*z. Calculate the remainder when z is divided by o(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207357680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 4*f = -4, 2*f = -5*c + 32 - 34 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1073*t + 3371*t - 1730*t.\nAnswer: 568*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 14, -2, 3, -15.\nAnswer: -15, -8, -4, -2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7159, -7141, -7123, -7105, -7087, -7069?\nAnswer: -7051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45654.\nAnswer: 2, 3, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 777.9318 + 0.0682. Let j = -776.317 + z. What is j rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/20 + 2\/4 + 5814\/9180.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (470\/94)\/(10\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1268075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1369\/3 in -0.5, 4\/7, -1\/6, 4\/5, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 14*u = 4*u - 288. Let f(m) = 11*m - 92. What is f(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13730399, 2\/5.\nAnswer: -13730399, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -183 - -183. Suppose n - 4*q - 592 = a, 0 = -q - 1 - 2. What are the prime factors of n?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -2. Suppose 0 = 3*w + v - 145, 50*w - 191 = 46*w + v. Calculate the highest common divisor of p and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*s + 120 = -331*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 87\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9370 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 613\/582 + -114721\/41322. Let k = -4\/71 - g. Let f = 124 - 121. Is f < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*w - 4*j - 3, -3*j = 3. Suppose w = 4*t + o - 14, 0 = t - 4*o + 5 - 0. What is the remainder when 5 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 5 = 3*i. Suppose -32*x + i*x = 12. Let a be 508\/18 - (-6)\/(-27). Calculate the highest common divisor of a and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -n - 0 - 7, u = -3. Let t = n + -9. What is the second biggest value in 0.4, -4\/3, t?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 - 3 = 0. Suppose y*l + 0*l = -m + 1, -2*m = -4*l + 22. Suppose 2*n = -8, 2*n - 6 = -5*u + n. Calculate the remainder when l is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:03 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by 80.\nAnswer: -119\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1815\/31 - -141367\/2387. Let q = -2\/231 + t. Which is the nearest to q? (a) 1\/6 (b) -2\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.92?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 233534072?\nAnswer: -233534073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*2 + 4\/(-12)*6. Suppose -3 = c - n - 2*n, 3*c = -5*n + 19. Sort c, k, 2 in decreasing order.\nAnswer: k, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-485*a + 168*a**2 + 485*a)*(3 + 4 - 5) + 6*a + 5*a**2 - 4*a**2 - 3*a**2.\nAnswer: 334*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239184 = 574*k - 556*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560476*x**2 + 1887871*x**2 + 1197962*x**2 + 2587030*x**2.\nAnswer: 5112387*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -3 (b) 0.039 (c) -1\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2210 (base 3) to base 11\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1 - (-2)\/((-2)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 24*i**2 + 5*i - 7. Let n be s(1). Let b(j) = -20*j - 8 + 3*j**3 - 4 - 2*j**3 - 21*j**2. What is the tens digit of b(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2*d)\/(d*d\/(d\/(d*d*d\/(d**(-1\/6)\/d))))*((d*d**0\/d)\/d)\/(d**8\/d*d))\/((d**(-3)\/d)\/d*d**(-2\/13)*d**5\/(d*d**(-1)\/d*d)) assuming d is positive.\nAnswer: d**(-859\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 489*x. Let n(h) = -232*h. What is m(n(q))?\nAnswer: -53824*q**2 - 113448*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4882394 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (17 - 1975\/125 - (-32)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = -42*d + 11*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c + -59344?\nAnswer: -59383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 3*x**2 + 4*x + 6. Let m be l(-4). Let r = m + -42. Suppose 0 = -2*z + 6*z - r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-2*w - w + 0*w)*(-w + 2*w - 3*w).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-1\/9)*x*x**12 assuming x is positive.\nAnswer: x**(125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/13 + 20030*m**2\/13 + 120126*m\/13 + 180162\/13 = 0. Calculate m.\nAnswer: -10009, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*n**3 + 977*b*w**3 - 3*n**3*w**3 - 39*n**3*w - n**2*w**3 wrt n?\nAnswer: 12*b - 18*w**3 - 234*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 36 - 38. Suppose -2*u + 16 = k*b, 0 = 3*b - 5*b + u + 19. Solve 5*r + b - 14 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*y + 38*y - 66*y)*(y - y - 3*y + (0*y + 2*y - 4*y)*(1 + 2 - 2)) to the form s + b*y + r*y**2 and give r.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.263 - -3.737. What is the closest to x in 2\/11, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 97888862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 13 = -3*u - 23, 5*u = -5*a + 45 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 5 - (1 + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + q - 3 = 0, 3*n = q + 6 + 6. Suppose 44 = 7*l - 2*l + 3*m, n*m + 6 = 0. Suppose -4*z = -218 - l. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-250)\/(-1750) + 17023\/7. What is the highest common divisor of y and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171.2 or 39.89?\nAnswer: 39.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 6. Let f = -3 + 8. Let v = 600 - 595. Suppose f*o = 25, -p - v*o + 17 = -3. What is b(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, c: 4, r: 1}. What is prob of picking 1 r and 1 i?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12833347987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 60, 94, 132, 174, 220?\n\"Answer: 2*j**2 + 24*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 6*z + 2. Let f be p(5). Let c be ((-6)\/4 + 1)*f. Suppose 4*u = 45 - c. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-22 + 37) - (4 + -2 + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**1\/q)*(((q*q**(-22))\/q*q)\/q)\/q*q assuming q is positive.\nAnswer: q**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-0.964\nAnswer: -0.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + 2) - (61 - 61).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 0*y + 3*y + 9*y - 11*y + y + (-3 + 3 + 4*y)*(1 - 1 - 3).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-2466)\/(-108) + -23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 17, 0.137, -54, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55 + -122a3?\nAnswer: -1224b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 f when four letters picked without replacement from {s: 3, u: 7, f: 1, i: 1}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(1700) - 5*-1*sqrt(1700)) + sqrt(1700) - (0 + sqrt(1700) + -5))*-5)**2.\nAnswer: 15000*sqrt(17) + 1530626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-8)\/(8\/(-13)). Put -4, l, -3 in decreasing order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(270)\/(sqrt(10) + sqrt(80)\/sqrt(2)))\/(sqrt(36)\/sqrt(64) + sqrt(9) + -2*(sqrt(9) + 3*sqrt(9))).\nAnswer: -4 - 4*sqrt(3)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 202\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -2, 5, 95, -1 in descending order.\nAnswer: 95, 5, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/15332 and (-303*(-2)\/(-30))\/(((-10)\/25)\/(-1)).\nAnswer: 15332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*(17 - 19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*l**3*w**2 + 5*l**3 + 3*l**2*x - 11*l*x + 17*l + 29*w**2*x + w**2 wrt w.\nAnswer: 28*l**3*w + 58*w*x + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = -3*x + 18, -4*h - x = 34. Let p be 17\/(-136) - 9\/h. Let i(w) = -122002*w + 2. Let t be i(p). What is t rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 223*h**3 - 114*h**3 + 100*h**2 - 174 - 108*h**3 - h + 74*h**2.\nAnswer: (h - 1)*(h + 1)*(h + 174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**3 - 869*t**2 + 16219*t + 1. Calculate a(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2522, 2, 50 in decreasing order.\nAnswer: 50, 3, 2, -2522","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - (-21 + -29) - (-1 + -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 - -387\/4. Calculate the common denominator of 101\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m*m*m\/(m\/((m**(4\/7)*m)\/m)*m))\/m)\/m*m)\/m**8)**(-2\/5)*((m**12*m)\/(((m\/(m*m\/(m\/m**(-5\/2)*m)))\/m*m*m)\/m))**42 assuming m is positive.\nAnswer: m**(2811\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/25 + 396\/(-15). Let d = 17 + z. Let p(l) = -l**2 - 12*l - 9. What is the lowest common multiple of 6 and p(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1457*r**2 - 1 + 1465*r**2 + 1.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in -2, 64, 87\/14, 4, 0.4?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/180*72*1\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2)\/sqrt(9)*6.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5264*l - 230. Let w be s(7). Let r = -15745 + w. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -30 in decreasing order.\nAnswer: -5, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 25*y - 30. Calculate the highest common divisor of 55 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4644 + -0.2074. What is u rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -l - 27, 2*h + 86 - 76 = 0. Put -22\/5, -0.6, l, -3\/8 in increasing order.\nAnswer: -22\/5, l, -0.6, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d + 24. Give s(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18678 or -2646?\nAnswer: -18678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -47910.\nAnswer: 7\/15970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56651 + 448.\nAnswer: 57099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 34\/3, 4, -5, -46?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 9*v + 3. Let j be c(9). Let h(l) = -l - 7 + l + l. Determine h(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*d**4 + 2*d*l**2 + 556*d*l - 627*l**2 - 707 wrt d.\nAnswer: 68*d**3 + 2*l**2 + 556*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**3\/2 + 5*l**2\/2 - 3*l. Is p(-8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 4*r + 17. Let w(d) = -d**2 + 7*d - 33. What is 4*w(g) + 7*z(g)?\nAnswer: 3*g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9314.\nAnswer: 2, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350112489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23503904 to the power of 1\/2, to the nearest integer?\nAnswer: 4848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70325*i**3 + 140629*i**3 - i**2 - 70321*i**3.\nAnswer: -17*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63654*s**4\/5 - 3870328*s**3 - 116092544*s**2\/15 - 299104*s\/3 - 4832\/15 = 0 for s.\nAnswer: -302, -2, -2\/309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 65679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23704\/7 + -3386. Which is the third biggest value? (a) s (b) -4\/9 (c) -0.03 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 5*sqrt(99)*1 + (sqrt(99)*2*2 - sqrt(99)))*2)\/((-2*sqrt(1620))\/(1*sqrt(5)*-2 + sqrt(5))).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227.43 + -183.43. What is the nearest to -0.2 in 0.4, n, 30?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126.69 or -1473?\nAnswer: -1473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 2*b - 140 = 4*b - 5*b, 5*n - 10*b + 214 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9831 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -327297\/4, -3, -0.2, 2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -264 - -304. What is the least common multiple of w and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + 1) - (0 + sqrt(13) + 2))*3.\nAnswer: -15*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4815142 + 0.387.\nAnswer: 4815142.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 19*n - 34. Let f(r) = -15*r + 4. Let q(o) = -b(o) - f(o). Give q(16).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38\/13 - -444\/143. Let b = -13.8 + 13.4. Let u = b + -10.6. What is the biggest value in u, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/21 - -1 - (-303)\/4242\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, l: 3, v: 1, c: 4, g: 1, z: 3}. What is prob of sequence zwzc?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {w: 3, h: 6, l: 3, k: 2, g: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/4 of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a. Let n(s) = 520 - 520 + 2*s. Determine v(n(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7120 and 0.3.\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 + s - 3. Let k(c) = -4*c**2 - 4. Let u be (6\/60*-8)\/(2\/(-5)). Let d(y) = u*k(y) - 3*l(y). What is d(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s + 7. Let p be x(1). Let o be p*(-2)\/6 + (-50)\/10. Let l(g) = -7*g + 5. Let w be l(o). Calculate the highest common factor of 132 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*d**3 + 93050*d**2 - 206980*d + 41400.\nAnswer: 5*(d - 2)*(d + 2070)*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -172*v + 173*v, -4*v - 29 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 2114*c + 33312.\nAnswer: 2*(c - 1041)*(c - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.85767 kilometers in centimeters?\nAnswer: 2985767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1680292, -3360564, -5040838, -6721114, -8401392, -10081672, -11761954?\nAnswer: -13442238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 1. Suppose -16 = -h*y - 6. Suppose y*o = -u + 14 + 5, -25 = -2*o + 5*u. Solve -3*w + w = -o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 62. What is the remainder when v is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523560229.\nAnswer: 29, 569, 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryryyryqry. What is prob of picking 1 q and 2 r?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 - 345 = -121*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29\/(-4) - 8\/(-32). Let q(x) = x + 12. Let g be q(d). Suppose -3*j + g + 13 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + r + 34. Calculate the remainder when v(0) is divided by (63\/28)\/((-1)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -1\/991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104.64 + -104.44. Which is the third biggest value? (a) 218 (b) s (c) 0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 5:11 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/(-1) + (-121 - -150 - 45)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 - 3*g**2 - 2*g + 2. Let k(y) = 4*y**3 - 4*y**2 - 2*y + 2. What is -4*k(f) + 5*o(f)?\nAnswer: -f**3 + f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 1. Let k(b) = 6*b + 5. Suppose 53 = -4*v + 13. Let z(q) = v*f(q) + 2*k(q). Let n(g) be the second derivative of g**4\/12 + 5*g. Give z(n(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(875)*1)\/(6*sqrt(21)\/sqrt(3) - sqrt(1050)\/sqrt(6)) + 2.\nAnswer: 2 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 6958?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 0*b**3 + 3*b**3 + (-3 + 3 - b)*(4*b**2 + b**2 - 3*b**2) - 10*b**3 - 10*b**2 + 10*b**2 + (0*b**2 - 2*b**2 + 4*b**2)*(-2*b - 3*b + 6*b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77482 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l. Give a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-36))\/((-126)\/(-15903)). Let z = d + -397\/7. What is the common denominator of z and -95\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 e, and 1 h when three letters picked without replacement from {y: 2, h: 2, r: 1, e: 1, c: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 158 - 237. Let a = 78.83 + u. Let v = -70 - -67. Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -3, 2, -24, -5, 2900 in ascending order.\nAnswer: -24, -5, -4, -3, 2, 5, 2900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m + 0*m)*(m + 0*m - 3*m) + 2 + 3*m**2 - 4*m**2 - 6*m**2.\nAnswer: -5*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 465640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2517 (base 9) in base 5?\nAnswer: -30004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*b + 3*d - 50, -b + 5*d = -1. Let f = b - 6. Suppose 0 = -f*s + 4*t + 492, 0*s + 3*s - 4*t = 292. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 35, -6905, -3, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(132) - sqrt(132) - -1*sqrt(132)*-1)\/(sqrt(120)\/((sqrt(10) - (sqrt(1000)*-1 - sqrt(1000))) + sqrt(10))).\nAnswer: -110*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19373, 22457, 25541, 28625?\nAnswer: 31709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) -0.719 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**3 + 2*q**2 - q + 2. Let a be ((-3)\/3)\/1*-2. Is m(a) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 4, h: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/32)\/((-1)\/4). Let f = i + 14. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/18*(18 + -21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1036566 + 3?\nAnswer: -1036563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000043106374 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10074\/13 less than 775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41850, 82036, 122222?\n\"Answer: 40186*q + 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/15 and 31\/4806.\nAnswer: 24030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456070 is divided by 717?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*t + 2*n + 40 = -2*t, 2*t = -0*t + 40*n + 392 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 2\/7 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k. Let l(w) be the first derivative of -1 + 8\/3*w**3 + 0*w + 0*w**2. Give z(l(g)).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.4641 micrograms?\nAnswer: 0.0000000094641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a + 12. Let j be u(-11). Suppose 4*c - 7*c = -j. Let x = 61 - c. What is the remainder when x is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - 1) - 1 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 55*k**2 - 8*k**2 + 6*k**2. Let c(t) = -t**2. What is c(n(j))?\nAnswer: -2809*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 8:00 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -564, 0 in ascending order.\nAnswer: -564, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*(3 - 0). Let j = 593 + -457. Let u = j - 133. Solve -u*a + 5*a = -n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 127260425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/6 - 7*b**2\/2 + 14*b. Let m(t) = -t**2 + 4. Calculate 7*m(s) + 4*w(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 1:42 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4 - 3784*p**3 - 115764*p**2 - 711224*p - 599242 = 0 for p.\nAnswer: -1861, -23, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -699 + 702. Suppose -f = -5*p + 104, -17*p + 102 = -12*p - u*f. Let o(l) = l**2 - 21*l - 7. Calculate o(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**3 - 7*o**2 - 63*o + 7. Let c(y) = 2*y**3 - 3*y**2 - 32*y + 3. What is -7*c(i) + 3*n(i)?\nAnswer: -2*i**3 + 35*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13902 - 13572. Calculate the remainder when 3305 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -6 + 2 - -5) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*c + 24 = 0, 5*a + 79*c = 108*c + 208 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 241213.5 years?\nAnswer: 2894562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5463 + -5459. Let v = -250 + 402. Find the common denominator of -71\/6 and (v\/36 - j) + (-913)\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -900, -930, -960, -990?\n\"Answer: -30*b - 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161 - -1125\/7. Is j >= 293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117384 divided by -876\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 560904?\nAnswer: 560908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8330 and 842800.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bybb when four letters picked without replacement from ybbybbybbyyb?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 10. Let c be (-2)\/b + (-4)\/(-3). Let f(j) = -4*j - 1. Let t be f(c). Sort 0, t, 5 in decreasing order.\nAnswer: 5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4329 - 4104. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:56 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172524 by 7842.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 13*s + 2. Let b be p(-15). Let u be (-2)\/(-5) + b\/(-5). Suppose -u*n = -2*n - 176. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 + -1.695\nAnswer: -7.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6247451?\nAnswer: 7, 59, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxx when three letters picked without replacement from xrxxxxxxrxxxrrxrxxx.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 6 - 377*g - 2177*g - 8 + 2.\nAnswer: -2554*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k**2 - 50*k + 74. Let b(g) = 7*g**2 + 31*g - 46. Let t(a) = -19*b(a) - 12*i(a). Calculate t(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x**4*x))\/x*(x*x*x**(-29))\/x)**(25\/2) assuming x is positive.\nAnswer: x**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -4733?\nAnswer: -472e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c*q**3 + 35*c*q**2 + 2*c*q - 2*c - 3*q - 32 wrt q?\nAnswer: 30*c*q + 70*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 7*n - 3*n)*(5*n + 2*n - 2*n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1000001100 (base 2) to base 15\nAnswer: -24e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*sqrt(475) + 5 + 2))**2*-6*-3 + 3.\nAnswer: 94500*sqrt(19) + 1945803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 592, 942, 1252, 1504, 1680, 1762?\n\"Answer: -3*h**3 - 2*h**2 + 377*h + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -17840 (b) -5 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 12*u**2 + 11*u + 2. Determine m(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**5\/30 + 19*c**4\/24 - 2*c**3\/3 + c**2 + 3*c + 1. Let t(o) = -3*o**2 + 28*o - 6. Determine -7*j(u) + 5*t(u).\nAnswer: -u**2 + 7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641?\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*x + 435, -3*g - 409 = -5*x + 122. Let u = -60 + x. Let w = 67 - u. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - m - 6*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1325, -2637, -3939, -5231, -6513, -7785, -9047?\nAnswer: -10299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c + 38*c - 28*c = -252 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -16*k**2. Let o(t) be the third derivative of -t**5\/6 - 34*t**2. What is o(p(b))?\nAnswer: -2560*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-268)\/(-20) - (-2)\/(-5). Suppose -c*v + 8*v - 1465 = 0. Let y = 552 + v. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8*b - 49490 = 13*b, 3*x + 2*b = 37106. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 9*d**2 + 10*d**2 + 12*d**4 + d**2 - d**3 as n*d**2 + z*d + o*d**3 + j*d**4 + c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-48)*(16\/1)\/16\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4\/4 - 31030*y**3 - 1925411467*y**2\/2 + 9629881270*y - 34668578025\/4 = 0.\nAnswer: -62065, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.7088 + 0.0088. Let l = y - -21. Which is the second smallest value? (a) 0.1 (b) l (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-8)*l)\/l)**(6\/29)*l**4\/l*l*l**(-1\/32))**(-47) assuming l is positive.\nAnswer: l**(-254317\/928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(-4 + 1\/(-1)*-3). Put m, -0.6, 0.3, -5 in ascending order.\nAnswer: m, -5, -0.6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 10. What is the third smallest value in -0.2, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4677 is divided by 1169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, 3, 0 in increasing order.\nAnswer: 0, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19243 times -215.67?\nAnswer: 4150137.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185323.\nAnswer: 185323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 - -37) - (-19 - (27 + 38 + -82))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 3:15 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89 + -92)\/(((-207)\/30 + 9)\/((-4)\/10))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 6\/23?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2. Let z(w) be the third derivative of 13*w**5\/30 + 62*w**2. What is -33*y(x) + 6*z(x)?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 11*n - 104. What is f(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + z - 2*z - 18*z in the form w*z + s and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w - 20 = -7*r, 12 = -5*r + 3*w. Let o(a) = -a**3 - a**2 - a + 6. Determine o(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122655792, -122655790, -122655788, -122655786, -122655784?\nAnswer: -122655782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 128*v**2 + 642*v + 10. Let p be s(-5). Determine o so that 2\/3*o**2 + p + 4\/9*o = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**2 - 30*h + 3. Let x be f(-5). Differentiate -x*q + 31 + 7 - 15*q**3 + 3*q**3 with respect to q.\nAnswer: -36*q**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -512824 greater than or equal to -512817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(33)\/(sqrt(11)*-1) - -4*sqrt(48)) + 4)**2.\nAnswer: 240*sqrt(3) + 739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -8*o - 26. Let m be u(-8). Let b = m + -42. Let f(s) = 7*s**2 + 4*s + 25. What is the tens digit of f(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-2)*(-44)\/((-880)\/(-25))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -819 + 501. Let y be ((-1)\/5)\/(53\/k). Solve -y - 3\/5*h + 3\/5*h**2 = 0 for h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from tettlttfittmfe.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15 + 10 + -3 + 243. Let l = t - 230. Solve -w + 5*j - 21 = 0, w = 5*w - l*j + 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**3\/6 + 6*v**2 - 41*v - 2. What is u(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 - 6 = 0. Suppose -u + 32 = 3*u - 4*x, o*x + 12 = 0. Let g(f) = 6*f + 5. Is g(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 14*k**2 + 31*k + 1. Give i(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13685.\nAnswer: 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 6) to base 2.\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 0*x**5 + 0*x**6 + 0*x**2 - 4*x + 0 + 0*x**3 + 11\/12*x**4 - 3\/14*x**7. Find the third derivative of y(z) wrt z.\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**6\/2 + 7*l**5\/5 + 8*l**3\/3 + 36. What is the third derivative of q(o) wrt o?\nAnswer: -180*o**2 + 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**2 - 5. Let l(i) = -16*i**2 + 11. Let b(t) = 2*l(t) + 5*v(t). What is the derivative of b(w) wrt w?\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x + 21*x + 5772 = -58*x - x for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 - 1 - 45\/462?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -35. Let l(z) = 10*z + 5. Let b(v) = -9*v - 4. Let i(n) = 4*b(n) + 3*l(n). What is the remainder when i(-4) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 20*g - 4. Let s be 5\/(15\/(-9)) + 4. Let l be x(s). Solve 3*i = 2*n + l, -3*n = -2*i - 9 + 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*q - w, 0 = -4*w - 29 + 9. Suppose -4*b + 14 = 2. Suppose q*y - 6 = -b*y. Solve -y*x = 2*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -32) + -16 - -1*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3272075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/40)\/9*18.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 = -9*k + 12*k. Let p = 242 - k. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 53. What is the closest to 1 in 2, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29844 = 5*d + 4*b - 6*b, -b = -3*d + 17906. Calculate the smallest common multiple of 22 and d.\nAnswer: 65648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158146 + 5*q**2 + 21*q**2 + 158146.\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 159 = 2*h, c = -3*c - h + 126. Let t = -30 + c. Suppose -6 = -v - 3. Solve t + v = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -13. Suppose -2*i = r*i. Solve i = -o + 3*u + 1, -2*u = 2*u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + 112394.\nAnswer: 112394.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5763 - 0?\nAnswer: 5763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208 - 205. Let h be (-7)\/(63\/k) - (-83)\/(-3). Let u(p) = 5*p - 2. Let z be u(-5). Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(7) + 2 + sqrt(847))**2 - (1 + sqrt(42)\/sqrt(6)) - (0 + (sqrt(1008) - (sqrt(1008) + 1)) + -5*(sqrt(1008) + -1))).\nAnswer: -6042 - 642*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 65, 2, 0, 3 in ascending order.\nAnswer: 0, 2, 3, 7, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -18*f**5 - 3*f**2\/2 - 30*f + 18. What is the second derivative of g(v) wrt v?\nAnswer: -1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2 - 17 = 2*w, -x = -4*w + 15. Suppose 2*j = -0*j + 2*g - 4, -4*g + 26 = 2*j. Calculate the remainder when x is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29066982 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*-2*sqrt(121) + -3*-1*sqrt(121) + sqrt(121))\/(-4*(4*(sqrt(11) - sqrt(22)\/sqrt(2)) - sqrt(11))).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36740, -73475, -110218, -146969, -183728, -220495?\nAnswer: -257270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**6*r))\/((r**(-7)\/r)\/r*r)*(r*r**5\/r)\/r**(-2\/3))**23 assuming r is positive.\nAnswer: r**(598\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419714998?\nAnswer: 2, 13, 19, 31, 92707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605*j**3 - 11275*j**2 - 4160*j - 380 = 0. Calculate j.\nAnswer: -2\/11, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.721*0.168.\nAnswer: 0.793128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2. Let w(u) = -7*u**2. Suppose -9*x + 3 = -6. Let f(s) = x*w(s) + 5*n(s). Let k(b) = -b**2. What is f(k(t))?\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5015?\nAnswer: 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301854?\nAnswer: 2, 3, 7, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -50602?\nAnswer: 50603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(sqrt(14) + (sqrt(126) - 1*sqrt(126)) + sqrt(126))*-4)\/(sqrt(21)\/sqrt(3)*2 - sqrt(21)\/sqrt(12)).\nAnswer: 1 + 64*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + -3.06. Let m = -0.46 + 0.6. Let z = m - h. Which is the nearest to z? (a) -2 (b) 0 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*j - 34, -5*m + j + 2*j + 23 = 0. Suppose i + 10 = -0*i. Calculate the lowest common multiple of 1\/2 - 25\/i and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2. Let c(i) be the third derivative of 25*i**4\/8 + i**2 - 99*i. Determine f(c(s)).\nAnswer: -22500*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 62 (c) -0.038 (d) 3636\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/720*8*(-2)\/(-10).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 - c**3 + 2*c**3)*(4 - 2*c - 4).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 - -910?\nAnswer: 910.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -6143697600723?\nAnswer: -6143697600723.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14 + -8)*(-104)\/(-48). Which is the nearest to 0? (a) d (b) 1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17752036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f + 1. Let s be n(-8). Calculate the common denominator of (s\/(-96))\/(37\/28 + -1) and -127\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.479 (b) -13 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 111?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**4 - 5*n - 14*n + 21*n + 32*n**2 to the form h*n + a*n**3 + k + d*n**4 + g*n**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -250. Let b = -125 + q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 3*j + 10. Let p be v(-5). Suppose -84*r + 102 = -9*r - 198. Solve p*g - 3 = g, r*g = 3*s - 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/7 + 2923*o**2\/7 + 17565*o\/7 + 26361\/7.\nAnswer: -(o - 2929)*(o + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 143 + 8?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 188 + 48 - 154 + 34 = 0 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76985*i - 76985*i - i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**2 - 2*r. Let n(q) = -5*q**2. Give g(n(i)).\nAnswer: 200*i**4 + 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(26) - 4*sqrt(234))\/(sqrt(50)*1) - ((sqrt(117) - sqrt(117)*-2 - sqrt(117))\/sqrt(9) - (sqrt(13) - (2 + sqrt(208))))))**2.\nAnswer: 2304*sqrt(13)\/5 + 271168\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11580123 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11801393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -14*k + 535. Let p be g(34). Solve -2*s = 2*v - 4, 4*v = 56*s - p*s + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*r - 12 = -0*s, 0 = 5*s + 5*r. Let a(k) = -k**2 - 21*k + 95. Let n be a(s). Suppose -26 + 1 = -5*z. Put z, n, -1 in increasing order.\nAnswer: n, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 32652?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1340*l**2 - 2617*l + 124. What is q(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2506 - 34\nAnswer: -2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 341758437?\nAnswer: 341758440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.6196 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4 - 1 + 2*s + 0. Let c(m) = -3*m + 3 - 1 + 4*m - 2*m. Suppose 0 = 2*d - 5*j + 16 + 3, -5*d - 2*j = 4. Calculate d*r(u) - 5*c(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 2089b025?\nAnswer: -2089b00b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2 + 3*p - 12. Let b(k) = 6*k**2 + 2*k - 13. Determine 3*b(n) - 2*y(n).\nAnswer: 8*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 + 35563*y\/3 + 71122\/3.\nAnswer: (y + 2)*(y + 35561)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-12) - (-373)\/6. Let w = -27 + m. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -124*c - 14 + 14128*c - 7 + 5. Let n(s) = s**2 + 4*s + 7. Let m be n(-3). Let b be j(m). Round b to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 2. Suppose -g - f = -3*g. Solve 5*p = 25, r + p = g*p - 21 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*k - b, 5*k + 0*b - b - 30 = 0. Let w(i) = i**3 - 6*i**2 + 6*i - 4. Give w(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 13. Let a = -9 + 10. Let q = 32 + -32.1. What is the nearest to d in a, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 = w, 0 = -2*w - 3*u - 0*u + 51. Let k = 17 - w. Which is bigger: -2\/19 or k?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -210*u**5 + 702*u**5 + 346*u**5 + (2*u**4 - 2*u**4 + 2*u**4)*(2 - 2 + u).\nAnswer: 840*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (61\/122)\/(3\/39)*187\/143\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/2 + 1965*a - 3927\/2.\nAnswer: -3*(a - 1309)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h*h**(1\/5)))\/h)**30)**(2\/7)*(h\/(h\/(h*h**1)))**(-50)*(h\/(h\/h**(-2\/7)))\/(h\/(h*h**8*h)) assuming h is positive.\nAnswer: h**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 5, -9, 6185 in descending order.\nAnswer: 6185, 5, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.91732kg in grams?\nAnswer: 22917.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 10. Let i(w) = -2079*w + 54. Let x(a) = -193*a + 5. Let h(n) = -5*i(n) + 54*x(n). Calculate h(j(r)).\nAnswer: 27*r + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 178 - 112 = 5*p, j + 4*p - 83 = 0. What is the highest common divisor of j and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 8. Let q be 47\/(-7) + (-6)\/21. Let c be b(q). Let w be ((-2)\/(-4))\/((-6)\/(-72)). Calculate the greatest common divisor of c and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -2.4.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*5 - (-20088)\/36?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 4, 3 in decreasing order.\nAnswer: 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c**2 - 4*c + 4*c - 10*c**2. Let a(z) = 5*z**2. Give a(n(h)).\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 10:45 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - m**3 - 4*m**4)*(-5 + 9 + 3) + (m**4 + m - m)*(-1 + 0 - 1).\nAnswer: -30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16*r**2. Let i(p) = 6*p**2 + 0*p**2 - 8*p**2. Calculate i(c(k)).\nAnswer: -512*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890897 is divided by 521.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + 3*k**2 - 13*k + 2. Let s(f) = -f**3 - 2*f. Determine j(d) + 4*s(d).\nAnswer: -2*d**3 + 3*d**2 - 21*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 5*y - 13. Let n = -42 - -24. Let j(c) = -3*c**3 - 18*c + 45. Let p(g) = n*h(g) - 5*j(g). What is the first derivative of p(w) wrt w?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145316579 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 + -195. Which is the biggest value? (a) 4 (b) -5 (c) q (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -247 (base 13) to base 6.\nAnswer: -1501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/29, -5007, 24, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 - -192. Suppose -14*y - 500 = -19*y. What is the greatest common factor of u and y?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*v - 21 = -94*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 + 271*i**2 + 476*i - 1473. Determine j(92).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (197055\/232)\/(-45) - -19. Let t = -2.2 + 2. Which is the closest to -0.1? (a) t (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.3, 1, 26, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 8. Let r = 51 + -57.1. Let y = w - r. Sort 1, -0.2, y in descending order.\nAnswer: 1, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 537*a + 15126. Calculate u(35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 + 21 - 15)*(-6*n**2 - n**2 + 4*n**2) - 2*n**2 + 0*n**2 + 4*n**2.\nAnswer: -304*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.9 - 8. Let u = 4.07 + -0.07. Let x = 1 + u. What is the biggest value in x, f, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4072*b + 105816. Determine q(26).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/4))**1*(a**(-1\/4))**(1\/2) assuming a is positive.\nAnswer: a**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 83. Let p = -19 + 39. Calculate the greatest common divisor of p and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20747548 divided by -305111?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2267 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -20. Solve 0*d + d - 3*c - 6 = 0, q*c = -2*d - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -55*s**2 + 25*s**2 - 2 + 29*s**2 - 5*s. Give c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*c + 0*c - 22 = 0, 4*c = 2*o - 20. Let v = -7 - -3. Let t = 6 + v. What is the remainder when o is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177\/((-45)\/210*-1) is divided by 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/3 - 0) + 3. Let z be 4\/4 - (k + -24). Solve 0 = 4*w - 0*l + 3*l + 19, 3*w + 4*l = -z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w**4 - 2860*w**3 + 37938*w**2 + 84656*w + 43808 = 0. Calculate w.\nAnswer: -1, 148\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 7*x - 79200. Round x to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -16 - -15 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f + 0*f)*(10 - 3 + 0) + 0*f + 0*f - 2*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20000 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-19)\/(-2505))\/((-2)\/(-1161)). Let t = m - 1\/334. Factor 18\/5*v + t*v**3 + 4\/5 + 6*v**2 + 6\/5*v**4.\nAnswer: 2*(v + 1)**3*(3*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, n: 1, x: 1}. What is prob of sequence wwwn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112 (base 3) in base 10?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zepzzzzezzzezppezzp. What is prob of picking 1 e and 2 z?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 15768?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzaoiav. Give prob of picking 1 o and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 0) + (84 - 93).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 57*v + 57*v + 0*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 3 = 0. Let g(d) = 2*d**2 + 10*d + 13. Let x be g(-3). Solve -k*z + 22 = t + 4*t, t + 4*z - x = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275 divided by 1\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 4*z + 40 - 81 + 21, -2*z + z = 3*m - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.8 - -11. Let w = 2.8 + b. Let q = 2.5 - 3. What is the closest to -0.3 in w, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3 - 1128*s**2 + 15351*s - 53214 = 0. What is s?\nAnswer: 7, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c - 5*c + 5*c as u*c + v and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*(-105)\/(-126) + (0 - 3))*-6. Solve t*z + 256*f - 6 = 253*f, 25 = -5*z + 2*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.037 (c) 11 (d) 1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -15. Let d be (8\/(-6))\/(8\/(-36)). Let v(x) = x - 8 + d - 1. Calculate v(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 10 = 9*z, 0 = -2*y + 3*z + 12. Suppose 0 = -y*h + 450 - 54. Calculate the remainder when 437 is divided by h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 * -5.95\nAnswer: -785.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 86 + 32)*(-b + b - 2*b**2) + (-b + 1 - 1)*(2*b - 2*b - 2*b) + 0*b**2 + 3*b**2 - 2*b**2 - 18 + 18 + 2*b**2 in the form n*b + q + w*b**2 and give w.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 3*f + 4*f. Suppose -f*y = -54 + 2. Suppose 3*s + 174 = y*o - 409, 0 = 5*o - s - 715. What are the prime factors of o?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 11000?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/5 + -16\/35. Let j be (-2)\/(-5) + 132\/(-30). Let y be 2*(-10)\/25*(j + -1). What is the second smallest value in y, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = -3. Let p be -1 + (-4 - -1) + n. What is the tens digit of -13*(13 + p)*(-9 + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13216919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 2. Let f = -503 - -506. Which is the biggest value? (a) -1 (b) f (c) 0 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14112 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, a: 2, v: 13}. Give prob of picking 1 f and 2 a.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1613\/2390 + 6\/239. Calculate the common denominator of ((-1 + 2)\/1)\/7 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 8:15 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2206869, 2206874, 2206883, 2206896, 2206913, 2206934, 2206959?\nAnswer: 2206988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -4, -1\/7, 0.5 in increasing order.\nAnswer: -113, -4, -1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50*(-29)\/1160)\/((-280)\/(-19488)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**4 + 3*p**4 + p**2 + 0*p**4)*(0 - 1 - 6)*(3 - 5 + 0)*(-2 + 4 - 3) in the form n*p**4 + s*p**3 + x + j*p**2 + l*p and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001981144 to 5 decimal places.\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-42) + 30\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*1\/(12 + 860\/(-30))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8963.9*-0.02\nAnswer: 179.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, e: 8, x: 3, b: 1, i: 4, k: 2}. What is prob of picking 2 x, 1 b, and 1 a?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -320.33 + 331. Let p = y + -11. Round p to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 3*b**2 + 3. Let y(k) = k + 2. Let l be y(-7). Let m(s) = -6*s**3 + 5*s**2 + 5. Let c be ((-1)\/(-4))\/(1\/(10 - -2)). Give c*m(h) + l*q(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2929.08956 - -2929. Round t to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = h. Let n be (3\/h)\/((-9)\/24). Let j be (n\/(-5))\/((-4)\/(-20)). Solve 15 = -b + 5*o - 0, j*b + 10 = -5*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24534\/5 or -4908?\nAnswer: -24534\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*x - 4. Suppose -4*r = 8, 5*m + x*r = r + 72. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 13*y**2 + 8*y - 15. Determine s(-13).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*a**4 - 1565818*a**2 + 37600527*a + 2 wrt a.\nAnswer: -420*a**2 - 3131636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61255.\nAnswer: 5, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) - 37\/(-7). Suppose -j + 32 = a*m, 2*j - 5 = -m - 4. Solve -4*d + m*d + 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -47*x**3 - x**2 - 8*x. Let u(i) = -31*i**3 - i**2 - 5*i. Determine 8*u(k) - 5*w(k).\nAnswer: -13*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, h: 13}. Give prob of sequence zz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*t - 7. Let g be 1*(90\/10 - 10). Sort g, -5, t, -3 in increasing order.\nAnswer: t, -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35.5 and -84.\nAnswer: -48.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/(17\/((-35360)\/(-30))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3*112\nAnswer: 145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5250?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-9)*0)\/1. Suppose 0 = -3*u - 5*h + 2 - v, -3*h = 6. Suppose 4*t - 3*w - 33 = -t, 26 = 5*t + u*w. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2837, -2839, -2841, -2843?\n\"Answer: -2*i - 2835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -24*y**5\/5 + 18*y**3 + 5025*y - 2701. What is the derivative of t(m) wrt m?\nAnswer: -96*m**3 + 108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 9*z**2 - 10*z - 8. Let q = -13 + 5. Is 8 a factor of w(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2782 - -8347\/3. Which is the fourth biggest value? (a) u (b) 2 (c) 107\/4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m**5 + 22*m**5 - 14*m**5 + (7*m - 7*m - 3*m**2)*(-4*m**3 + 3*m**3 - m**3).\nAnswer: 25*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 24, -0.2, -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {r: 1, n: 3, o: 3, m: 2, h: 3, z: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d**3 + 3*d**2 + 3*d - 4. Let z(y) = 5 + 206*y**3 + y**2 - 3*y - 199*y**3 - 5*y**2. Calculate -5*w(p) - 4*z(p).\nAnswer: 2*p**3 + p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1283322 (base 10) to base 13.\nAnswer: 35c181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030000 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 3:16 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 + 4*j + 2. Let o be s(4). Suppose 0 = 2*l - 4*w - 32, w = o*l - w - 22. Factor -2 - 1 + 24*z**2 - l*z + 4 - 3*z - 16*z**3.\nAnswer: -(z - 1)*(4*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 + 279 = 70*a + 281 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -15*s + 7. Let z be a(11). Let r = z - -213. Does 24 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*o - 32613 = -112485. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495931?\nAnswer: 495931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 12:06 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1519248 and 10788?\nAnswer: 44058192","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 144 = -4*h. Solve -5*b = -7*b - h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4261 (base 13) in base 10?\nAnswer: -9205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.47\nAnswer: 0.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -4. Let y = 2 + s. Solve 1 - 2*b**2 + 4*b**2 - y = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 5*d**2 + 0*d**2 + (-2*d - d + d)*(0*d + 0*d + 2*d))*(1551 + 8*d**2 + 529 - 6*d**2).\nAnswer: -12*d**4 - 12480*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12060 divided by -6030.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 = 2*u. Let w be (-2 - (-3 - 3 - u)) + 13. Solve 0 = 2*j - 6*j + 3*n - 4, -4*j - 2*n + w = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3786720453\/5042461 + 1225\/25339. Let n = l - 751. Let i = n - 823\/1791. Sort -0.3, -3\/2, i in descending order.\nAnswer: -0.3, i, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38, -79, -118, -155, -190, -223, -254?\n\"Answer: p**2 - 44*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*p**2 + 22*p**2 - 3*p - 6 + 14*p**2 - 43*p**2.\nAnswer: 3*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -2\/15, -3, 4\/175?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 + 4*a**4 + a**4 + (-2*a + 3*a - 2*a)*(-3*a**3 + 4*a**3 + 0*a**3) + 2*a**4 + 4 - 4.\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29636 - 21795. List the prime factors of y.\nAnswer: 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 7, f: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 2. Let p(l) = l**3 + 4. Let j be p(0). Suppose -8 = -j*t + 20. Calculate the remainder when t is divided by r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 1. Let x(d) = d + 2. Let b(l) = 2*l**2 - 2*l - 2. Let f be b(2). Let j(u) = f*k(u) + x(u). Let y(i) = -i. What is j(y(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 151*o**3\/5 + 342918*o**2\/5 - 69977*o + 6816\/5 = 0.\nAnswer: -2272, 3\/151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 46.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0 - 1\/3*v**6 + 0*v**3 + 0*v**2 - 3\/4*v**5 + 0*v**4 + 169*v + 5\/42*v**7. Factor z(i).\nAnswer: 5*i**3*(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/(8\/(-14))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.35. Let y = q - -0.13. Let z = 0.02 + y. Which is the third smallest value? (a) z (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 divided by 10.\nAnswer: -161\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367 + 381 = -5*w + l, 0 = 3*w - 5*l - 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqirxxtq. Give prob of picking 1 n, 1 i, and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 6*n - 65. Suppose n*z + 9 = g, -6*z = -8*z + 4*g. Let k = -2 + 3. Put z, 4, k in descending order.\nAnswer: 4, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b - 1. Let u = -5 + 2. Let t be h(u). Is 1 + -1 + t\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -6, -10 in descending order.\nAnswer: 2, -2, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 320485+1359.6\nAnswer: 321844.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/9 - (-2072)\/(-3135). Let z = w - -63721\/4180. Let o = 3685\/534 - 6\/89. Calculate the common denominator of o and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78036 by -6.\nAnswer: 13006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 81 - u - 1\/2*u**2. Let p = -5 + 0. Determine v(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**4 - 72*q**3 + 128*q**2 + 3456*q - 10240 = 0.\nAnswer: -16, -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**2 - 11. Let r(x) = 66*x - 2. Give r(s(o)).\nAnswer: -132*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -53*s**2 - 48*s + 48. Let c be w(1). Let h(n) = 6*n - 7. Let d be h(-7). Is d at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 i, and 2 f when four letters picked without replacement from ufichiduduff?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000024134 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**4\/4 - v**3\/3 - 3*v**2\/2 + v + 28. What is the lowest common multiple of t(3) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -10af?\nAnswer: 10b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5701 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 98, 61, 5, 90.\nAnswer: 1, 5, 61, 90, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5163 and 11451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504510000 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a centimeter in millimeters?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x = 12. Suppose 5*o = x*o. Solve j - 2 = 2*n, o = 5*j - 5*n + 3 - 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 - -155. Let h = 14484.6895981 + -14540.6896. Let f = h + c. What is f rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -2*12\/(-8). Solve 0 = -5*s + u + 9, -9*s + 14 = -h*s + 4*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*(-11)\/11.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4255.98 + 4256. Let a(z) = 3*z + 1. Let o be a(-2). Put i, o, -3 in ascending order.\nAnswer: o, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85722)\/2355)\/(1*(-10)\/25).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, -15, -27, -41, -57?\n\"Answer: -m**2 - 7*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-12))**24*(v**2\/(v*v**(1\/2)))**(-41) assuming v is positive.\nAnswer: v**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179*m + 20*m**2 + 111*m**4 + 38*m**4 - 84*m - 5*m**5 - 96*m wrt m?\nAnswer: -300*m**2 + 3576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 51*g**2 + 498*g - 18. What is the remainder when f(-13) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**6*v)*v*(v*v*v**0)\/v*v)\/((v*v**(2\/3))\/v)**(-8) assuming v is positive.\nAnswer: v**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*y = 141*y - 9. Suppose -y*p + 144 - 1616 = -x, 0 = 5*x - p - 7402. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**2 + 40*x + 35. Let p(m) = -m - 1. Let n(t) = -3*h(t) - 105*p(t). Find the second derivative of n(a) wrt a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7725, -15864, -24007, -32154, -40305, -48460?\nAnswer: -56619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:47 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 15*h**2 - 30*h - 29. Let b be w(-1). Solve 2 = v, -b = -0*k + 2*k - 5*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {k: 6, v: 7, m: 4}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r + 82215 = 49*r. What are the prime factors of r?\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -166776 - 1?\nAnswer: -166777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 207768 and -219.\nAnswer: 207549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.07 + -3. Let s = -70095 + 70096. Which is the closest to 0? (a) 0.4 (b) o (c) 2\/11 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 + 14*x**2 + 4*x + 6. Let l be g(-4). Factor -l*t**4 - 4*t**5 + 0*t**4 - 20*t**3 + 6*t**4 + 12*t**2 - 20*t**2.\nAnswer: -4*t**2*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 53920?\nAnswer: -3774.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5658757463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052960.2 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -677*d - 3380. Let y be z(-5). Let i(w) = 3*w**2 - 3*w - 7. Determine i(y).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558272 to the power of 1\/2, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-360)\/(-84))\/10*(-12)\/9. What is the nearest to -1\/2 in i, 1\/3, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 51116*i.\nAnswer: -2*i*(i - 230022)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -19.1. Let h = -2.1 - -2. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 7:32 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w. Let g = 23 - 38. Let b be (g\/(-6))\/(10\/8). Let q(s) = -28*s**b + 16*s**2 + 14*s**2. Determine q(m(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/5*(-20)\/(-56). Put 71, w, 0.2, -4\/7 in descending order.\nAnswer: 71, w, 0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 + 0 + (-2 - (10 - 4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 18. What is the remainder when 56 is divided by ((-6)\/7)\/(l\/(-84))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2239, 2251, 2365, 2623, 3067, 3739, 4681?\nAnswer: 5935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = 7*d + 182 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l - 3*l. Let z = -5 - -8. Suppose 0*f + z*f = 0. Is f greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 61, 60\/23, -0.2 in decreasing order.\nAnswer: 61, 60\/23, -0.2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - a. Suppose 0 = -21*l + 14*l - 21. Give b(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t - 1170*t**3 - t + t**2 + 1 + 1171*t**3. Calculate a(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74*-990.4836.\nAnswer: 73295.7864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u = -25*u + 25. Suppose -4*w = x - 2 - 2, 73 = 2*x - u*w. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 5, y: 2, d: 1, o: 1, k: 2}. What is prob of picking 2 y and 1 k?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(-2*sqrt(324)))\/((((5*sqrt(300) - sqrt(300)) + sqrt(300))\/sqrt(12))\/sqrt(5)).\nAnswer: -sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 226917, 453842, 680765, 907686, 1134605?\n\"Answer: -o**2 + 226928*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4898344?\nAnswer: 2, 11, 55663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8205 and -182087.\nAnswer: -173882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07986 + 121.92014. What is the third biggest value in 5, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15277 is divided by 3038?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 110150459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 90. Let c(i) = 3*i. Calculate c(f(t)).\nAnswer: -3*t**2 - 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 268584*j*s**2 + 27636*j wrt s.\nAnswer: 537168*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjgg when four letters picked without replacement from {g: 2, j: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600286676?\nAnswer: 2, 3, 173, 421, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 4*z**2 - 2*z**3 + 3 + 2 + 3*z**2 in the form y + k*z**2 + i*z + g*z**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 7. Let d be 122\/6 + (-16)\/(-24). Suppose -19 = -8*w + d. Determine x(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 5 = 6*y. Suppose -3*a + 254 + 221 = -5*s, 5*s - 4*a + 480 = 0. List the prime factors of (s\/y)\/(3\/6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -5 (b) 0 (c) -6090 (d) 0.07 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75781 + 258082 = 7*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**3 - 17*i**2 - 23*i + 10. Suppose 56 = 2*l + 46. Let r(o) = 3*o**3 + 11*o**2 + 15*o - 7. Let m(k) = l*q(k) + 8*r(k). What is m(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.114 + 4.886. Which is the third smallest value? (a) -4 (b) 1\/6 (c) -1\/5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**2 + 23*j**2 + 15*j**2 - 98*j**2 + 15*j**2 + 23*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8\/h)\/(h*h*h\/(h*h**(-2\/19)*h)) assuming h is positive.\nAnswer: h**(112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-3))\/(1\/(-3)). Let f(g) = -3*g - 15. Let a be f(-6). Let h(y) = 16 - n + a*y - 4*y. What is h(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.62 and 2700227868?\nAnswer: 2700227868.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + 4 + (-1 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-8)\/24)\/(4\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 625*r**2 + 75*r - 565. What are the prime factors of l(6)?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 57, 27?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.785 + -527.785. Let a = 483.8 + l. What is a rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2089\/5 + 417. Let f = 27.6 + -27.5. Which is the biggest value? (a) f (b) z (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -211 + 6?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4441 (base 6) to base 15.\nAnswer: -48d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + (-34 - (61 - 36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1381 - 6678.5655.\nAnswer: -6678.4274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 539 + -672. Is d < -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 10*b - 3206. Suppose -7*h - 7*h = -b. What are the prime factors of h?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100111100101111011 - -10100100?\nAnswer: 10010100111101000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l**2 + 6*l - 6. Let b = -1 - -5. Suppose 4*w + 2 = -14, 5*q + 4*w = b. Let u be v(q). Solve 3*r - 14 = -2*t, r = t - u*r + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 27 + (-40 - -11) + -105?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/6960?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 + (4 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -123\/162514 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 2*o**2 + 4*o - 12. Calculate v(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/2815?\nAnswer: 6\/2815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215\/14 - 31\/2. Let t be 1 - -9*(-4)\/18. Sort t, q, 0.3.\nAnswer: t, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150741?\nAnswer: 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**4\/114 + 22*w**3\/57 + 135*w**2\/19 - 9*w + 30. Suppose j(g) = 0. Calculate g.\nAnswer: -5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5286503 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55095 + 176128. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 22 = -2*i, -2*m + m = -3*i. Calculate the least common multiple of m and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 6*o**2 + 6*o + 2. Let y be h(-5). Let f = -211 - -209. Let w = 20 - 12. Put f, y, w in increasing order.\nAnswer: y, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*j - 0*h, -5*j - 3*h = 0. Solve -3 = 3*a - j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-188)\/28 - (-2 - 103)\/15. Which is the nearest to -1? (a) -94 (b) r (c) -3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228423, -456577, -684731, -912885, -1141039?\nAnswer: -1369193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35, -0.02, 107, -1\/8, 3, 9, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.37, 5, 1, -1\/5, 0.04 in ascending order.\nAnswer: -1\/5, 0.04, 1, 5, 5.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.5 - -7.5. Let s = 2.9 - 3. Sort g, -1\/3, s in increasing order.\nAnswer: g, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 - 192*t**2 + 552*t - 211. Determine z(61).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*d**4 - 2471*b*d + 2015487*b - 798*d**4 with respect to d.\nAnswer: 8*b*d**3 - 2471*b - 3192*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/30 - 4)*15\/(45\/(-15))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/90 (c) 122 (d) -0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121 - -125. What is the highest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -12.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*w = 2*l + 2, 4*w = 2*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1415232 and 19\/154791.\nAnswer: 9906624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 300 - 292. What is the smallest common multiple of m and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 + m**2 + 0*m**2)*(-24 + 6*m + 15 + 10) to z*m**2 + d + u*m + v*m**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -6*p - 2*x - 15, -2*x + 9 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -78, 8, -5 in decreasing order.\nAnswer: 8, 0, -4, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 56. Let o(f) = f - 4. Calculate o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 285 = -3*i. Let d = i - -154. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-3)*(-3)\/(-6). Suppose 4*v + 18 = 2*m, u = -2*v - 3*m - 2 - 3. Which is greater: v or -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21144482 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + (-6 - -3))*-183. Let o = -127 - x. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29358395 to the nearest integer?\nAnswer: 5418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*l - 44 = 0, 148 = 67*z - 64*z - l. What is the remainder when 461 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {t: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*t + 11, 2*t + 62 - 7 = -5*n. Let r = n + 28. What is the remainder when r is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 9*c - 281. Give u(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 17 + 23. Let x be s\/(-44) + (-145)\/(-11). Calculate the highest common divisor of 117 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*f - 25, 4*s - 2*f = -s + 47. Solve 0 = -3*d + k + k - 4, -s = 3*d + 3*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1340a (base 12) to base 16\nAnswer: -678a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.53 + -0.03. Let a = -0.5 + l. What is the closest to 0 in 3\/7, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1 (c) -1\/4 (d) -1091 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187980 and 5070?\nAnswer: 2443740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2426*v + 161*v - 59387 - 44803 = 0 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**4\/3 + 498*k**3 - 29008*k**2\/3 + 25512*k - 49024\/3 = 0.\nAnswer: -766, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156*m**5 + 97*m**4 - 2*m**3 + 2440*m**2 + 35*m wrt m?\nAnswer: -9360*m**2 + 2328*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.1? (a) 13.4 (b) -3 (c) 1 (d) -4 (e) 3 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-1 + 1 - 2 - (68 + -69))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 658\/8 + 5\/(-20). Suppose -i - i + o = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 1. Let b be x(-2). Suppose b*z + 0 - 6 = 0. Suppose -6*a = -z*a - 252. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.1. Let h = 3.5 - 4.5. Let y = 0.6 - 0.2. Which is the nearest to h? (a) g (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34918 and 381412?\nAnswer: 4958356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f - 20. Calculate the smallest common multiple of 70 and y(3).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2. Let u(o) = o + 4. Let f(a) = -9*m(a) - 4*u(a). Suppose -2*y - 13 = -l, l + 4*y + 6 = -5. Let q(b) = -2*b + 1. Calculate l*q(s) - 3*f(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*c = 269 - 173 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + 2 - 52*t**3.\nAnswer: -52*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/99)*l*l**15)\/(l\/(l**6\/l)*l*l\/l**(-4\/7)) assuming l is positive.\nAnswer: l**(12064\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 8*y**5 + 172*y**4 - 80*y**3 - 15460*y**2 - 34608*y + 21168 = 0?\nAnswer: -14, -3, 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6169400 - 0?\nAnswer: -6169400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/7))**17*c**(-1\/10)\/((c\/(c*c\/(c*c\/c**(-1\/15))))\/c))**(-8\/13) assuming c is positive.\nAnswer: c**(-380\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 672118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209 - 209. Put -3, -6, 5, t in decreasing order.\nAnswer: 5, t, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 a when four letters picked without replacement from {i: 2, k: 3, g: 1, x: 1, b: 2, a: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3735.087 - -3728. Let m = -0.087 - z. Put m, -0.5, -0.1 in ascending order.\nAnswer: -0.5, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3 + 346*r**2 - 5753*r + 14118 = 0?\nAnswer: -362, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*l**3*o**2*p + 66*l**3*o**2 + 75*l**3 - 65*l**2*p + 4*l**2 + l*o + 2*l*p - 6*o**2*p wrt o?\nAnswer: -38*l**3*p + 132*l**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 3:58 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, 14, 1023.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395, 473, 551?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1516, 1520, 1526, 1534, 1544?\n\"Answer: x**2 + x + 1514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 343, 324, 305, 286, 267?\n\"Answer: -19*a + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a + 19. Let h(l) = 3*l - 8. Give -5*h(g) - 2*s(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3 - 12486*r**2 - 4987533*r + 5000016 = 0.\nAnswer: -368, 1, 4529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 - 91\/(-35). Suppose 13 = o*c - 2. Calculate the remainder when 18 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 31*s**4\/12 + s**3\/6 + 2*s. Calculate the remainder when u(1) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14750 = -11589*m - 3441*m - 30340 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 k when four letters picked without replacement from {k: 2, f: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 84 = 0, -546*t = -542*t + 3*o - 62 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688125501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38.7 - 29.3. Let p = -2 + -7. Let y = p + d. Which is the biggest value? (a) y (b) 0.023 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142359337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -170 or -514\/3?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/(-132))\/((6\/(-4))\/3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8998875 divided by 75?\nAnswer: -119985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(2 + (4*sqrt(187)*-2 - 2*sqrt(187)*4)\/(-1*2*sqrt(99))).\nAnswer: -48*sqrt(17) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6)\/((-15)\/(-12) + -1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21291 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + -1) - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (-15 + 4 + 4 - -22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 35*m**2 - 7*m + 18. Let l be p(10). Suppose -3*i + 2068 = -v, -3*i = -8*i + v + l. List the prime factors of i.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0 - 55) + 2 - (431 + -428).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1380\/70 - (-1 + 10\/14). Suppose o - h - 4 = 0, 6*o - o - t = 2*h. Solve 0 = o*v - 2*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.3 + -66. Let b = -1.6 + r. Let s = b - 2.1. What is the nearest to -2\/5 in 0.2, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -1740, -5898, -13996, -27348?\nAnswer: -47268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7029866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, j: 2, x: 4, y: 2, c: 1}. Give prob of sequence jjb.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, x: 2}. What is prob of sequence xvv?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44)\/(-60) + (-45)\/(-75))\/(12\/977679) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11389?\nAnswer: 7, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lddl when four letters picked without replacement from midmllid.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - z - 162 - 83 = 0, -3*v - 5*z = -215. Calculate the highest common divisor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 + 267. Let n = 2364476607.9999943 + -2364476468. Let b = r - n. What is b rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 318\/66 + 2\/11. Let m(s) = s**3 - 5*s**2 + 2. Let x be m(a). Suppose 3*g - 14 = -x. Do g and 4 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-1))\/((-1377)\/(-3213))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 (base 10) in base 15?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(4032))*6 - sqrt(4032))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8009, -16023, -24037?\n\"Answer: -8014*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 4*n. Let k be j(-3). Suppose -555*q + 72*q = -966. Solve o = q*t - 3, -k*o + 4*t - 2 = 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -32223?\nAnswer: 32214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/4*y - 51\/8*y**4 + 63\/8*y**3 - 33\/8*y**2 + 15\/8*y**5 + 0 = 0. Calculate y.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1948 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = 3*i - 2, 3*i - 3*f = 12. Sort i, 0, -5, 1.\nAnswer: -5, 0, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 13*o**3 - 12*o**3 + 641*o**2 - 9 + 1.\nAnswer: o**3 + 641*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 3*b**2 - b**2)*(197 + 19 + 150 + 57).\nAnswer: -423*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-54) - (4 - (-36)\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x. Let n(a) be the first derivative of 3*a - 1\/5*a**5 + x*a**3 + 3 + 0*a**4 + 0*a**2. What is the derivative of n(s) wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = 2*g. Suppose -242 = 32*b - 146. Is g - (b + 2) - -249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1446676848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1655*m - 539*m - 554*m - 557*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11692 - 8578. What is the remainder when q is divided by 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 3*g + 0 + g**2 - 1\/12*g**4 + 0*g**3. Differentiate n(d) wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3823*g*j**2 - 8*g*j - 95*g wrt j?\nAnswer: 7646*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.607 and 1?\nAnswer: -0.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1460 and 101908?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:54 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 50. Let w(h) = -5361*h + 201. What is 4*l(x) + w(x)?\nAnswer: -5365*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 3*j**2 + 3*j. Let m(p) = -2*p**3 + 2*p**2 + 2*p. Determine 3*m(b) - 2*x(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = -4*k - 164, 5*h - k - 437 = 0. Does 31 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -729\/11945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 7*u**2 + 10*u + 3. Let z be w(8). Let j = -12 + z. Suppose 0 = 3*f - j*f + 24. Is f greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -4. Let w = 9 - y. Let l be 3 - 3 - w - -3. Solve 2 = l*m - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2. Let n(d) be the second derivative of d**3\/6 + 2*d**2 + 2*d. Let b be n(-2). Let c(r) = -r**2 + 0*r**2 + b*r**2. Calculate c(q(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4925\/5*(8064\/(-80))\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 7 + -4 + 0. Let s be -3 - ((-21)\/5)\/(1\/5). Suppose 6*d - d = 2*m + s, -2*d + 3*m + 5 = 0. Solve 3*f - d = 2*h - f, 2*f = 4*h + y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -47*g - 13\/4*g**4 + 0*g**3 + 19 - 3\/2*g**2. What is the first derivative of m(v) wrt v?\nAnswer: -39*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3811 = 3*v, 768 = -3*v + d + 4574. Calculate the remainder when v is divided by 142.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 3*j**2 + 6*j - 1. Let i be x(5). Let k = i + 927. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2, 3, -161, -14 in ascending order.\nAnswer: -161, -14, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 2*g + 3. Let l be s(2). Suppose 19*q - 180 = l*q. Solve -5*v + 5 - q = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 232 + -232. Let y(g) be the first derivative of 0*g**2 + x*g + 4 - 3\/4*g**4 - 3\/5*g**5 - 1\/6*g**6 - 1\/3*g**3. Solve y(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1158953\/45 + 25753. Let g = 26\/15 + w. What is the closest to 0 in g, -0.5, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 2, l: 9, k: 6}. Give prob of sequence kvlk.\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7423 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x. Let c(i) = 1764*i**2 - 922*i**2 + 1597*i**2 + 384*i**2. Give d(c(a)).\nAnswer: 11292*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*f + 17. Suppose -4*k + 370 = -f*y, -385 = -4*k - 2*y + y. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -10. Let u be 8\/(-3)*n\/2. Suppose -3*i - u*j = -36, 36 = 5*i - 2*i + 5*j. Calculate the remainder when i is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*k + 55*k + 745 + 1325 = 0 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 76) + 8 + (67 - 56)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (3 - 44\/6). Put t, 5\/11, 2, -0.1 in descending order.\nAnswer: 2, 5\/11, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817568109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**4 - x - 1. Let q(g) = -11*g**4 - 5*g + 30. Let k be (1 - 0)*-1 + 0\/59. Let n(i) = k*q(i) + 5*a(i). Differentiate n(y) with respect to y.\nAnswer: 64*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 5*m**2\/2 + 56*m + 4. Let r be t(-11). Solve -8 - r = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thwhhwhntrhwwhw. Give prob of sequence hh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138800700 and 1800?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 12791, -6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -217*l**4 + 10*l**2 + 10453.\nAnswer: -868*l**3 + 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 14 + 5 - 36 - 2)*(-9*w + 14*w**2 + 9*w).\nAnswer: -798*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 221142320393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 2*s**3 - 8*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*k, -2*r + 2 = -4*r + k. Which is the closest to -1\/2? (a) r (b) -1 (c) 106\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*x + 24. Let j be 18\/5 - x\/(-30). Suppose 139 - 1 = j*y. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, 3568062, 5 in ascending order.\nAnswer: 2, 5, 19, 3568062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 10*l + 44. Let n be u(-4). Let w(g) = 4*g**2 - 5*g - 14. Let h be w(n). Suppose 0 = 29*t - h*t + 186. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5 - 1 + 4 + 1 + 2*v. Let d be y(-2). Let q(s) = s**3 + 11*s**2 + s + 12. Let z be q(-11). Put d, z, -0.4 in decreasing order.\nAnswer: z, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-6 - -2) + 12) - 1317\/(-147).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*4930\nAnswer: -24650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 8.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -37.5. Let r = -4 + 3.9. Which is the nearest to r? (a) 2 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.02, -0.4, 2\/13, 988?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*p**2 + 1127*p**2 + 96*p**2 - 126*p**2 - 284*p**2.\nAnswer: 1441*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 22*s + 8. Let a be i(-12). Solve -40*v**4 - a*v**2 - 5758 + 116*v**3 + 5758 + 4*v**5 - 192*v = 0 for v.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 39. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1254 and 884346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus -51320515?\nAnswer: -51320515.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1212140144 (base 5) to base 10\nAnswer: 2849424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**6 - 7*n**4 + 2331248*n**3 - 400766593*n**2.\nAnswer: -360*n**3 - 168*n + 13987488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 69. Suppose q = 5*p - 61. Suppose 0 = -s + 143 - p. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 15, -4, -2\/3, 5.\nAnswer: -4, -2\/3, -0.2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4167*a**2 + a - 51 + 7952*a**2 + 49 - 2639*a**2 in the form v + i*a**2 + n*a and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 3)*((-1 + 3 - 4)*(-6*g - g + 3*g) + 2*g + 4*g + g) + (g - 3*g + 3*g)*(2 - 5 + 1) + 0*g - 3*g + 4*g - 3*g + 2*g - g)*(g + 0*g + g).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 5681808?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -1. Let g = v + 5. What is the units digit of (-6)\/(-3)*5\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*f**5 - 36*f**5 + 6*f**3 - 8*f - 33*f**2 + 41*f**2 - 8*f**4.\nAnswer: 2*f*(f - 2)**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 9*c + 8*c + 891*c**2.\nAnswer: 891*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38 (b) -0.3 (c) -0.5 (d) 0.65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 j when four letters picked without replacement from {w: 3, j: 15}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2106)\/(-216))\/(((-8)\/960*-16)\/(24\/(-15)))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-184484)\/45*(-15)\/(-9) - -5. Let p = i - -6830. Calculate the common denominator of -25\/66 and p.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16316560, 16316591, 16316622, 16316653, 16316684, 16316715?\n\"Answer: 31*i + 16316529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 5*b**2 + b + 7. Let d be m(-5). Let c be 40\/(-100)*-5*1. Solve -5*h = 3*r - 23, -d*h + 7 = -c*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/1*(-735)\/72030?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -898 - -901. Let r(y) = -y**3 - 4*y**2 + 5*y - 4. What is r(t)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1392755 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 57. Let l(i) = -6*i - 190. Let x(u) = -20*f(u) + 6*l(u). Let b(z) be the first derivative of 15*z**2\/2 - 3. Calculate b(x(k)).\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2264780211 and 30.\nAnswer: 30.2264780211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5 - 1. Let x = u - -1. What is the derivative of -3*b + 2 - 2*b**x - 3*b + 6*b wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 4*b**2 - 3*b**2 + 2*b**2 - 4*b**2.\nAnswer: b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74721760*w**2 - 2194917*w wrt w?\nAnswer: -149443520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -876cc + -2530?\nAnswer: -89c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163*i**3 + 705*i wrt i.\nAnswer: -978*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31\/3 + 121\/12. Let n = -1.7 + -1.3. Which is the closest to -3\/7? (a) -0.1 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 16) in base 6?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265455382 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3 + 115995*m**2 + 254886000*m + 144278137500 = 0. What is m?\nAnswer: -36365, -1150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/810)\/((2\/6)\/(-1))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-322)\/138*2*(40\/4)\/(-80).\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*z + 20 = 149*z. Solve 8 = -z*m - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-6))\/((-2)\/(-244)). Let g = -339 - -122. Let v = g + n. Calculate the greatest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 14 - 18*f**2 + 22*f**2.\nAnswer: 4*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-7 + 6) - 10 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -221, -334, -447, -560, -673?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = -2*g, -3*g - 15 = 2*g - v. Let h be (-5 + 9)\/(g\/(-34)). Let i(n) = -5*n - 8. Let o be i(-5). Calculate the highest common factor of h and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435205456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 201313504 + 1?\nAnswer: 201313505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -210*k - 1323. What is the least common multiple of m(-8) and 258?\nAnswer: 30702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2333244 divided by 194437.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 405506?\nAnswer: -405501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 226871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1086 = -3*b, -b + 4 = 6. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 21*q**3 - 2*q + 24*q**3 + q - 23*q**3 - 15*q**3. Suppose 3*b + t = 5, -3*b + 0*t + 7 = -t. Suppose -4*s - 6 = -b. What is d(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -33 + (-2 + 0 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.56 (b) -0.066 (c) -5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)\/(t**(2\/5)*t))**(-30))**(-2\/41) assuming t is positive.\nAnswer: t**(-204\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(2 - (1 + 2)). Solve x = -u + 5*i, 2*u + 2*i - 1 - 7 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four 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 376535 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 38 = -8*o - c, 9*o = 4*o + c - 44 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 + -174. Let t = -1.4 - -1.1. Let s = t + 0.5. Put k, s, -2\/3 in ascending order.\nAnswer: -2\/3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g. Suppose -330 = -5*p + 2*j, 3*j - 487 = -5*p - 157. Let m(k) = -p + 66 - 2*k. Give t(m(y)).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -444625 and -444623 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m - 5. Let j(c) = 0*c + 1 - 2*c + c. Let g = 877 - 878. Give g*a(y) - 6*j(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 141*j - 1517. Give n(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.4255 - -0.5745. Which is the closest to -1? (a) s (b) 1 (c) 1302 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 + 2 = 0. Let t(m) = -m - 1. Calculate the least common multiple of t(n) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 - (-9 + -7 + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 732219 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6, -5, 8\/37, 4?\nAnswer: 8\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40937\/3 + -13476. Let j = x + -169. Put -5, -2\/5, -15, j in descending order.\nAnswer: j, -2\/5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 + 2*m**2 - 2*m.\nAnswer: -m*(m - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.037 - 0.247. Let v = -158.804 + 159. Let m = v + w. Round m to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o - 3. Let q be 4 + -3 - 0 - 27. Let c = q + 24. Let n be i(c). Let d(g) = g - 5. What is d(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181602?\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2720, -2903, -3088, -3275?\nAnswer: -3464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:57 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f + 16*f + 15*f + 12*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -20. Let n(a) = -a + 4. Let x(t) = -6*t + 21. Determine l*n(b) + 4*x(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 5*y - 6. Let o be m(2). Suppose i - 43 = -4*j - 18, -2*i - 4*j + 46 = o. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/15 - 5*d**4\/6 + 4*d**3 - 3*d**2. Find u such that f(u) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44187361.000222 - 44187206. Let k = p + -155. Round k to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011110010 - 100010110110010?\nAnswer: -101011010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 5*b**2 + 7*b - 13. Let p be u(4). Let a = 3\/1817 + 517\/1887863. Let j = 5227\/16624 - a. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 + 255\/459*(-84)\/(-80). Put w, -2\/8505, -2 in increasing order.\nAnswer: -2, -2\/8505, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1 = 3. What is the units digit of 6\/4*(1 - j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -15, -38, -71, -114, -167, -230?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 12, k: 7}. Give prob of picking 1 v and 1 m.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 7*l - 20 = 3*m, 2*l + 16 = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -6*o - 317 + 339, -3*q + 7 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 9*v**2 + 4*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*w = -37, -3*f - 68*w - 17 = -69*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - -194 - 14\/(-7). Let f = 358 - a. Is f - (-4)\/(-2)*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3128 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/35 + -4 - ((-27)\/(-6) + (-19820)\/280).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*h - 255*h = -129*h + 5*o - 9, 5*h - 5*o = -25 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 2:15 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 117186 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 218937263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4))**49\/((t\/t**(-4\/7)*t)\/(t*t**(-1\/2)*t*t)))\/((t*t**(-4\/5)*t\/t**(-6))\/((t\/t**1)\/t)**(30\/13)) assuming t is positive.\nAnswer: t**(4861\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2. Let z(a) = 346440100*a. Give r(z(j)).\nAnswer: -120020742888010000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1762, -2074, -2386, -2698, -3010?\n\"Answer: -312*a - 1450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 24*s**2. Let n(b) = b. Let v be 5 + 10*(-12)\/(-120). Let o(u) = -2*u - 6*u + 0*u. Let j(f) = v*n(f) + o(f). What is y(j(w))?\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 1. Let i(h) = -h**3 - 2*h**2 - h - 3. Let z be i(0). Let p(a) = 5*a**2 - 2*a + 4. Determine z*u(y) - p(y).\nAnswer: -2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5+3580420575749\nAnswer: 3580420575744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -3649.1132.\nAnswer: 29192.9056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 152806646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58574 (base 10) in base 2?\nAnswer: 1110010011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2520 = 312*s - 305*s. What is the highest common divisor of s and 630?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 y when four letters picked without replacement from {y: 12, h: 3}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*y = 3*h - 16, -2*h + 2 = y. Solve a - 19 = -3*c, -3*a + 5*a = 2*c - h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298645 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) 0.02 (c) 0.1 (d) -0.4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-4))\/(-4)*6*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 159 (b) -2\/7 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(245) + -1 + sqrt(245))**2 + 1)*1 + (sqrt(320) + (sqrt(320) - (sqrt(320) + 0 + sqrt(320) + sqrt(320)*-1)) - -3*(sqrt(320) + 0)).\nAnswer: -982 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*n + 24*n = -2*x - 38*n + 10, -20 = 10*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, 16\/25, 2\/9, 2\/371, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.35592307\nAnswer: 1.06776921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 8, c: 8}. What is prob of picking 2 i and 1 c?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -7, -35, -73, -121?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/23 - 12*w**4\/23 + 12*w**3\/23 + 32*w**2\/23 - 30*w\/23 - 36\/23 = 0. What is w?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, z: 5}. Give prob of sequence zkk.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160.6 - 132. Let y = -29 + s. Let f = 3 + -4. Put y, f, -1\/4 in descending order.\nAnswer: -1\/4, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8882, 9071, 9480, 10205, 11342, 12987?\nAnswer: 15236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3. Suppose 5*o - 25 = -r, -3*r + 4*o - 3 + 2 = 0. Let j(c) = c - 7. Determine r*m(i) - 2*j(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, l: 2, b: 1, u: 9, g: 2}. Give prob of sequence gl.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 302101839.\nAnswer: 302101838.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1133122?\nAnswer: -1133130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21100211 (base 3) to base 8.\nAnswer: -12370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**3*o + 4*n**3*y - 14*n**3 - 5*n*o*y + 5*n*y + 12*o*y wrt o.\nAnswer: 3*n**3 - 5*n*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -752 by -4.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1173 - -1173.589. Let y = -1.11 + m. Let a = y - 3.489. Round a to 1 decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e78 (base 15) to base 6\nAnswer: 50422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134788826 to the power of 1\/2, to the nearest integer?\nAnswer: 11610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4256 and 532.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25266 is divided by 1148.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from {k: 1, g: 8, j: 8}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11506 is divided by 978.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 88 = -5*k, k + 4*d + 6 - 2 = 0. Let b be ((-24)\/(-544))\/((-6)\/k). Let t = -6\/17 - b. Sort 1\/5, -0.4, t in ascending order.\nAnswer: t, -0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-642)\/3*4\/8. Suppose 109*p = u*p - 1364. List the prime factors of p.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 17}. Give prob of picking 1 g and 1 m.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39199*q = -4*g - 39198*q - 42, -159 = 3*g - 5*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262 - 263. Which is the nearest to -2\/9? (a) t (b) -0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -730 + 754.33. Let t = w - 0.33. Let b = 24.000031 - t. What is b rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v - 11. Let r be c(-4). Let m = r + -9. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9600 and 4050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, 0.4, -1.94256?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 335311690 to the nearest 1000000.\nAnswer: 335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 + -102.91. Let t = -8 - -7.89. Let x = c - t. What is x rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/14*(-116)\/725)\/(18\/45). Sort 2, -5, f, 1.9, -2\/3 in increasing order.\nAnswer: -5, -2\/3, f, 1.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 301200 - 3?\nAnswer: 301164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1158, 1152, 1136, 1104, 1050, 968?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11522164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 5100\/14 - ((-5)\/7 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/220 and 3\/275150.\nAnswer: 6053300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**2 + 65*f - 205. Calculate the remainder when 297 is divided by c(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20236467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourteeen fifths of a litre?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-104)\/(-20) - 1\/5. Suppose 4*m = 25 - y. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108 - 58*i + 108)*(16*i - 3*i**2 - 16*i) - 2*i**3 + 1 - 1.\nAnswer: 172*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(486) + 1*(sqrt(486)*-2 - sqrt(486) - sqrt(486)) + sqrt(486)))\/(-6*(sqrt(1250)*1 - sqrt(50))) + 1.\nAnswer: -3*sqrt(3)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -3*v**6\/5 + 4*v**2 + 32*v - 6. Let k(m) be the first derivative of p(m). Find the first derivative of k(f) wrt f.\nAnswer: -72*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -70*o**2 - 4105*o + 14569. Give p(-62).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 0.09 in descending order.\nAnswer: 3, 2, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4123)\/(-57190)*-43)\/(2\/(-60)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k + 8 = 0. Let j be (-5)\/10 - (-21)\/(-6). Let l be (128\/(-56) - 3) + j\/(-14). Put 5, k, l in decreasing order.\nAnswer: 5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 7*p - 2. Let m be d(6). Suppose 3*t = -m*l + t - 4, -l + 5*t = -21. Differentiate -l + 2*q**2 - q**2 + 3 + 1 with respect to q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*m - 68. Let i be m\/(-18) + (-2)\/(-9). Solve 5*a - i = 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 43. Let y = -25 + 13. Calculate the remainder when (-11 - y) + 70\/1 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 63*r = 18*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1593 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128\/11 + 2\/11*w**2 + 0*w.\nAnswer: 2*(w - 8)*(w + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrxrxxrrrrxxrsrxmrr. What is prob of picking 1 s and 2 r?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10 and (-4)\/30*(-95)\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(20)\/sqrt(2)) + sqrt(567)\/sqrt(9) + 0.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1220 = 4*f - 0*t, 308 = f - t. What is the highest common divisor of f and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716\/3*(-21)\/(-14).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a - 11. Let l be k(4). Solve 2*s = -0*n - 3*n + l, -4*n = -4*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -2*i**3\/3 + 5. Let o(j) = 6*j**2 + 2*j. Give o(n(p)).\nAnswer: 24*p**4 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6259944 to the nearest integer?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/16 and 71\/504?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15099898*p**5 - 28430*p + 107.\nAnswer: -301997960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17861\/24 - 744. Let o = 7\/8 - j. Which is the nearest to 2\/3? (a) -0.2 (b) -1\/6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*n**5 + 33*n**3 + 4*n**2 - 18656*n wrt n.\nAnswer: 900*n**3 + 198*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -61773 and -10313.27.\nAnswer: -72086.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 133613?\nAnswer: -668065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -31539 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*z = 65, -2*c - 3*z + 32 - 2 = 0. Calculate the highest common divisor of 21 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b8503 - 18?\nAnswer: -2b851b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 89*r - 25. Let p(l) = 43*l - 14. Give 4*c(u) - 9*p(u).\nAnswer: -31*u + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747931792?\nAnswer: 2, 31, 89, 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 390 - 163. Let a = g + -227.222. Let k = 0.2220161 + a. What is k rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1862936 and 34550.\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 73) + ((41 - -51) + -64 - 26)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*0.7\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -165375 greater than or equal to -165377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3786*o**3 - 9708*o**2 + 9708*o**2 + 3 + o.\nAnswer: -3786*o**3 + o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45207829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 3*d + 27 - 3*d**2 + d**3 + 2*d**4 - 58 to c*d + n*d**4 + m + p*d**2 + r*d**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 34 = 2*b, 5*b + 30 = 3*j + 21 - 82 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66046 = 11*j + 8604. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**5 + 3*p**4 + 450993*p**2 - 1108583*p.\nAnswer: -80*p**3 + 36*p**2 + 901986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170*-0.37.\nAnswer: -62.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -61 in increasing order.\nAnswer: -61, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqquuufqfqeu. What is prob of sequence qu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.7 + -8.62. Let f = b + -0.08. Let y = f - 10.1. Sort 1\/2, 5, y in increasing order.\nAnswer: y, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*x - 3 - 2 = 0, -1 = -3*d - x. Solve 8*c - 4*c = d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4492402327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860124, 1720512, 2580900, 3441288, 4301676?\nAnswer: 5162064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 144.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(175)*-2 + 2)**2)*-6 + (sqrt(175) + (sqrt(175) - (sqrt(175)*-2 - sqrt(175))) + 0 + sqrt(175) - -2*(-2 + sqrt(175)))**2.\nAnswer: -80*sqrt(7) + 6986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91818137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 195 + -195.2. Which is the closest to 0? (a) -42 (b) -1\/2 (c) o (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 21*y - 4*h - 165 = 19, -6*h = 5*y - 29 + 57 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5*3\/(-9*2)*62706\/1493\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1022255 - 4?\nAnswer: 1022251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163790*x**4 - 148513*x**2?\nAnswer: -3930960*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24514 - 24567. Let l = -3 - -3. Which is the third smallest value? (a) y (b) l (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*y - 21*y - 67*y)*(5 - 2 - 1).\nAnswer: -320*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1309*d = -251*d - 47881 + 18257. Suppose g - 42 = v, -43 = -g - 5*v + 11. Calculate the greatest common factor of d and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*a + 231*a = 76. Sort 3, -18, a in descending order.\nAnswer: 3, a, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001548618 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 9441 = -9423 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r + 51*r - 171*r + 48*r + 51*r - 39*r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 45703 (base 8) to base 5\nAnswer: 1110040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10730 and 435?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 70*r + 1035.\nAnswer: -5*(r - 23)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + 31*1\/(-22) and 11\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**6\/3 - s**5\/60 - s**4\/3 - s**3\/6 - 2*s**2 - 10*s. Find the second derivative of a(o) wrt o.\nAnswer: -240*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-8)*0\/11. Suppose j = 7*f - 3*f. Solve 2*t - 4 = -f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (12\/(-54))\/(5\/(-495)) and 130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + (-82)\/(-12) - -3 and 5\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.29474 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15723 (base 11) to base 6\nAnswer: -250344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 793?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3581675 (base 9) in base 16?\nAnswer: 1da72b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1870 - -1870.1. Which is the smallest value? (a) i (b) -0.0969 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*b - 273*b - 15393 = -129704. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 45674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 5 - 3) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 442*r**3\/3 + 3*r**2\/2 + 3*r + 87. What are the prime factors of c(-1)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 37. Give t(12).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -8\/27*a**3 + 76 - 1\/18*a**4 + 0*a - 4\/9*a**2. What is q in o(q) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2002 - -4485. Is q a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/60)\/((-18)\/135). Let q = 33\/85 + -10\/17. What is the biggest value in q, -2\/13, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1647, 13103, 44193, 104733, 204539?\nAnswer: 353427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 q when three letters picked without replacement from ddqmqddqmdqqqdqqm?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -206*f + 16. Let l(t) = 408*t - 39. What is -3*l(c) - 7*s(c)?\nAnswer: 218*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/7, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13917679.7 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.11, 0, -1, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**3\/5 - 1092354*u**2\/5 + 19886632260*u + 596638293192\/5 = 0.\nAnswer: -6, 182062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3207*p + 18 = -3205*p - 5*k, -6 = -3*p - 3*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2. Let g(l) = 5*l**2 - 6*l - 6. Let p(j) = g(j) + 6*h(j). Let i be -3*2*10\/(-12). Let u = i - 10. Calculate p(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.92094342 rounded to 4 dps?\nAnswer: 2.9209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 9*f**2 + 6*f - 10. Suppose 6 = -4*y - 10. Let c(u) = u**3 + 6*u**2 + 3*u - 4. What is the remainder when b(9) is divided by c(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 - 2*d + 2. Give j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7426*-0.3\nAnswer: -0.22278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**2 - 8*w + 6. Calculate l(-4).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 38*j**2 - 38*j + 46. Give c(-39).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -2 (c) -1\/4 (d) -12 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-4 + sqrt(300))**2 + (sqrt(3) - (sqrt(3) + 2))*-5.\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63 + 4178*m - 4178*m - 466*m**3 - 291 wrt m.\nAnswer: -1398*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s - 12 - 5*s + 14*s + 0 + 8.\nAnswer: 18*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2)\/((-1)\/(-9)). Suppose -q = -3*b + 9. Suppose -3*u = b, u = -7*x + 2*x + 48. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:47 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y = -7*y + 39. Put 48, -2, y, -4 in increasing order.\nAnswer: -4, -2, y, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-7))\/(8\/(-28)). Let o = 14 - v. Suppose 6*l - 19 + 1 = 0. Calculate the lowest common multiple of o and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/30703 less than -0.07171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 34*b + 216. What is the least common multiple of 5 and q(-4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2256*c*h**6 - 50*c*h**5 - 4*c*h**2 - 9*c*h + 24*c + 2*h**2 wrt h?\nAnswer: 270720*c*h**3 - 3000*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 309*f**2 - 615*f + 2150. What is g(-311)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9041*k*q + 19*k + 5823*q + 49 wrt k?\nAnswer: -9041*q + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(288\/(-135))\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(52)\/sqrt(4) - (-4 + sqrt(208))**2.\nAnswer: -227 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1518 - -268684\/177. Is x at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 5*y - 4*y + (-1 + 3 - 4)*(0*y - 2*y + y) + (-1 - 4 + 3)*(-16*y + 7*y + 5*y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 1\/(124\/(-360)). Let m = 101\/403 - a. Let y(n) = -2*n - 1. Let q be y(-1). Which is smaller: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 76. Suppose 4*o + t*s - 4*s - 154 = 0, o + 5*s - 55 = 0. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let n = 0.14 - 0.14. Let d = g - n. Which is greater: d or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttu when four letters picked without replacement from {y: 1, t: 14, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 125*l**2 + 1.\nAnswer: 125*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/16*1)\/(1866\/410520)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (124\/12)\/(-31)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*n + 7328206 + 444424 + 19305476 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 564544335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 7*p - 9. Let y be v(7). Let w = 14 + y. Suppose f = 5*d + w, 2*d = -2*d - 8. Put -1, 0, f in ascending order.\nAnswer: f, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523 is divided by 248?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*b + 7 + 13, -2*b = -4*d - 2. Suppose -b = 2*h - 1. Is 15 a factor of 22 - 1*(-3 - h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3\/3 - 578257*h**2\/3 + 27865192880*h - 27865000128 = 0?\nAnswer: 1, 289128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-23)\/d)**35*d**10*d*d**(3\/22) assuming d is positive.\nAnswer: d**(-18235\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 97*y**3 + 92*y**3 - 14*y**2 + 21*y + 4*y - 3 wrt y?\nAnswer: -30*y - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-215 - 61) + 278 + 2 + -90 + 1.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 325 and 150?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8815155493 to the nearest integer?\nAnswer: 93889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -13*t**2 - 7*t**2 + 24*t**2 - t**3 + 7. Let h be w(4). What is the units digit of 2\/h + 231\/49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 - 0.6. Let q = -31 - -30.988. Let c = q + 4.012. What is the second smallest value in c, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19368193 plus -0.06283947?\nAnswer: 0.13084246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 14*a + 34. Calculate r(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 26*f + 4. Let b(j) = j + 1. Calculate -4*b(x) + y(x).\nAnswer: x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 1\/120*h**6 + 1\/16*h**4 - 3\/80*h**5 + 0 + 15*h + 0*h**2 - 1\/24*h**3. Let r(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-813399)\/2334*(-4)\/34.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600287 is divided by 676.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28244906507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5) - (sqrt(5) + (sqrt(5) - (-2 + sqrt(5))))) + sqrt(5) + sqrt(20)*6.\nAnswer: -6 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35797157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 2. Let n = -1343\/385 - -39\/11. Which is smaller: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h + 4*h + 35. Let t(k) = 2*k**2 - 4*k - 10. Let d be t(h). Solve -7*b + 2*b + d = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 - 281. Let k = 159 + i. Calculate the remainder when 98 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**8\/48 - r**5\/15 + r**4\/24 - r**3 - 8*r**2 - r. What is the second derivative of w(q) wrt q?\nAnswer: -140*q**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-18346)\/(-11) - (1744\/88 - 20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.45 - -0.05. What is the smallest value in -5, 3, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*g - 3*g + 2*g - 2*u, 3*u + 10 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16530204 + -6?\nAnswer: -16530213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -112 + 87 + -139 - -156?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 + -109. What is the remainder when 81 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 3*q**2 + 2*q**2)*(13*q - 35*q + 7*q)*(2*q + 2 - 2).\nAnswer: -60*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(75) + -3) - sqrt(75)) + (sqrt(75)*-4 + sqrt(75) + 1 - sqrt(75)) + 0)**2.\nAnswer: -1600*sqrt(3) + 7756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -37.7. What is the second smallest value in j, -0.5, -1\/5, 0.07?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 + 2*z + 2. Let d be s(-1). Let q = -2.5 - -3. Which is the biggest value? (a) q (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*((3*sqrt(65))\/sqrt(5)*-6 + 1).\nAnswer: -540*sqrt(13) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - d)*(-2 - 3 + 1)*(-1 + 0 + 2)*(7 - 2 + 4).\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**6\/72 - 5*x**4\/24 + 19*x**3\/3 + 18. Let a(w) be the third derivative of s(w). Determine m, given that a(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = p + 6, -3*p = -5*q + 4. Suppose 4*b - 20 = -4*u, -u + p*b + 38 = 3*u. Calculate the lowest common multiple of 14 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*z + 10, -8 = -5*z - 3*n + 4. Let q(u) = 3*u - 8. Let l(g) = 1. Let o(a) = 4*l(a) + q(a). Calculate the lowest common multiple of z and o(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -727 - -25447\/35. Let d(j) be the second derivative of -3\/100*j**5 + 0*j**2 - o*j**7 + 0 + 0*j**3 + 34*j + 14\/75*j**6 - 3\/10*j**4. Factor d(b).\nAnswer: -b**2*(6*b**2 - 5*b - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 + v + 24*v**2 - 3*v + 4*v.\nAnswer: 32*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 + 3. Let t = 0 + -0.2. Let a = -0.3 - t. What is the third smallest value in a, m, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21212\/7 - -3036. Let p = -19581\/56 + 2382\/7. Find the common denominator of p and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3269632, 6539239, 9808846, 13078453, 16348060, 19617667?\nAnswer: 22887274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -17*f + 5. Let b(h) = -494*h. Calculate q(b(z)).\nAnswer: 8398*z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 4. Let q be t(-3). Let h(b) = b. Give h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -24. Sort 1, z, -2, -3.\nAnswer: -3, -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/7 and ((-34119)\/266)\/(-9) + -14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 plus 7?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*sqrt(22)\/(sqrt(22)\/sqrt(44)).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -110\/10781?\nAnswer: -110\/10781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t + 121. Let m be u(17). Solve -x - m = 4*b + 8, -3*x - b - 8 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 752*q - 2098*q - 24.\nAnswer: -2850*q - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/20 + 4*p**2 - 2*p. Differentiate r(j) wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*t + 84*t + 105*t + 1639 + 96*t.\nAnswer: 18*t + 1639","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211011111 (base 3) in base 7?\nAnswer: -432160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m + 3 + 27*m - 5 + 0. Let w be h(1). Solve 3*n = -y + 5, 4*n + w = 6*n + 5*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvvttrentvavvtnr. What is prob of sequence ae?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 17*j + 2378.\nAnswer: -(j - 58)*(j + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90479.\nAnswer: 173, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -160973205.\nAnswer: 1\/32194641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-480)*8*2\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -c + 18. What is the tens digit of 12600\/27 - c\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11175.03 + 11175. Are n and 74 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -26*n**4 - 4*n**3 + 4*n + 14. Let c(g) = -27*g**4 - 3*g**3 + 3*g + 14. Let k(d) = 4*c(d) - 3*j(d). What is the first derivative of k(a) wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 349 - 689 - 61*h + 381. What is the tens digit of y(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a5 (base 13) to base 6\nAnswer: -1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/(40\/(-900)*35)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7324 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:03 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44669 - -44513.285. Let z = 0.285 - f. Let t = z + -155.9861. What is t rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2\/u*u)\/((u\/(u\/u**(-1\/7))*u)\/u))\/(u*u**0)**(-38) assuming u is positive.\nAnswer: u**(281\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apapqppqalqrklpklqql. Give prob of picking 1 l and 1 p.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 199077889097+-21\nAnswer: 199077889076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70530319*h**2 + 307*h + 268190?\nAnswer: 141060638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -72. Suppose n = -4*c + 16, -4*j = -j - c - 1367. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 26 = -173. Suppose -n*v = -44*v - 80. Let r be (v\/88 + 16\/33)*6. What is the closest to -2\/13 in -3, r, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 + 56864200*y + 170592582 = 0. Calculate y.\nAnswer: -28432097, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 10:17 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*c = -4*c - 31, 0 = -2*z + 2*c - 4. Let u = z - -14. Is u + 0*2\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 14) in base 3?\nAnswer: -11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14034*v**2. Let n(x) = -1605*x**2. Determine d(n(j)).\nAnswer: -36151934850*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(400)*2) + (-4 + sqrt(1700) + 3)**2.\nAnswer: -399*sqrt(17)\/20 + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234 - -241. Suppose q*c - 1313 - 3475 = 0. List the prime factors of c.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 13*w - 8*w + 5*j, 4*j = 4*w - 20. Calculate the greatest common factor of w and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143 divided by 13\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -140, -272, -404, -536, -668, -800?\n\"Answer: -132*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (-3*(sqrt(448) + sqrt(448) + sqrt(448) + -1 + 2 + -4))**2) + -4.\nAnswer: -1296*sqrt(7) + 36361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:37 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 40 = -0. Suppose -2*t - 2*t + 30 = h, x = h - t. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228711 times -3?\nAnswer: -686133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000101427 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5633738 + 5642216 = 314*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 1476*t - 1480*t = -15, 3*u - 4*t + 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14088 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 15. Calculate the remainder when 25 is divided by v - (-1 + -4 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266977092 plus 3?\nAnswer: 266977095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2057) + 0 - sqrt(17)) + sqrt(170)\/sqrt(250) - (-2*(sqrt(136) + sqrt(136)*-1) - sqrt(136))\/sqrt(8))**2 + -5 + 0.\nAnswer: 53212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45675185359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116 + 162. Suppose -48*j + i*j - 6 = 0. Is 9 a factor of (-273)\/(-5) + (24\/(-20))\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by -111\nAnswer: -34\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + t + 7 = 0, -3*t = 3*g - 7*t + 18. Let j = 6 - 4. Let x = g + j. Solve x = -0*u + 3*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175) + sqrt(175) + sqrt(175) + -1 - sqrt(175))*1 - (-2 + -3*sqrt(175) + sqrt(175))) + 4)**2.\nAnswer: 200*sqrt(7) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 0. Let v = g + 11. Suppose -v*l + 6 = -l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aamm when four letters picked without replacement from {m: 3, a: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 134*u + 1. Let h(n) = 670*n + 5. Give 2*h(m) - 11*p(m).\nAnswer: -134*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-152)\/28 - -5) + (-912)\/28. Let i = g + 38. Solve 3*j + i*c = 17, -3*c = 5*j - 7 - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.3 - 36. Which is the closest to -10? (a) -1 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 + 46*k - 83*k + 36*k)*(3*k - 2*k + k).\nAnswer: -2*k**2 + 224*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -0.2, -110, 103 in decreasing order.\nAnswer: 103, 53, -0.2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 2. Let s be b(0). Let r(u) = 3*u + 6. Let x be r(-4). Let d = s - x. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12419781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 43*a + 299. Determine j(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h. Let p(q) = q**3 - 3*q**2 + q - 1. Let d(t) = t**2 - 4*t + 3. Let s be d(4). Let o be p(s). Let x(j) = 2*j - 5*j + o*j. What is w(x(a))?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-2)*2\/6. Let w be 1230\/40 - 2\/(-8). Let c be 95\/w + 75\/(-25). Which is bigger: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 86, -0.3, 219349?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 149*w**6\/8 + 27*w**5\/20 + w**4\/6 + 15*w**2 - 6. What is the third derivative of t(o) wrt o?\nAnswer: 13410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1584) - ((sqrt(1584) + 1*sqrt(1584))**2 + -3)) + (sqrt(1584) + -2*(sqrt(1584) + 2))**2 + -1*(sqrt(1584) + 2) + ((3 + sqrt(1584))*-4)**2.\nAnswer: 1248*sqrt(11) + 20748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-102)\/119)\/((-2)\/224). Suppose -20 = 4*f, -5*f = -2*x + 59 + o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 2\/(-8))*-8. Suppose h - o = -s, 17 = 3*h - 5*s - 57. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 4\/15*x**3 - 2\/5*x + 0*x**4 + 1 - 2\/25*x**5 + 0*x**2. Suppose b(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 6*v + 11. Determine h(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56771 or 56724?\nAnswer: 56771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**4\/5 - 30848*c**3\/5 - 11870256*c**2 + 95480960*c + 238393600 = 0.\nAnswer: -3860, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*v**4 + 192\/5*v - 4\/5*v**5 - 32\/5*v**3 + 128\/5 + 64\/5*v**2.\nAnswer: -4*(v - 2)*(v + 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(12)\/(sqrt(30)\/sqrt(5))) + 5 + (sqrt(132)\/sqrt(6)*5 - sqrt(22))\/(sqrt(2) + 5*-2*sqrt(2)).\nAnswer: 5*sqrt(11)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -16*j**3 + 7*j**2 + 2*j - 11. Let z(w) = -8*w**3 + 4*w**2 + w - 6. Calculate 6*n(a) - 11*z(a).\nAnswer: -8*a**3 - 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161 - 162 - 57 - 2 + 5 - 2 + 0 + 2 - 4 + (-2 - 3 + 4)*(1 - 3 + 1) + 5 + 1 - 4)*(13*u + 3*u + u).\nAnswer: -6426*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -426082 or -1278248\/3?\nAnswer: -1278248\/3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -4\/3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 237*i**3 - 1200*i**2 - 157500*i.\nAnswer: -3*i*(i - 50)**2*(i + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 912\/15 - 20\/25. Let h = -24 + o. Suppose 0*z = -z - 2, 5*l - h = -2*z. Solve -2*q = k - 12, 5*k - 36 = -2*q - l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228415814?\nAnswer: 2, 3, 29, 719, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2792.63 + 2777. Let q = u + -0.37. Let o = -15.99972 - q. What is o rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1989\/(-57018))\/((18\/8)\/(-3)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126257533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/569 or 1?\nAnswer: 39\/569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -124, -136, -164, -214, -292, -404?\n\"Answer: -p**3 - 2*p**2 + p - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.04 (b) -3\/175 (c) -0.5 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 24. Determine x(13).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5689 - 5720. Is -344\/11 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 6*s**2 - 7*s + 6. Let l be k(-7). Suppose 5*r = -n + 46, 0 = 4*n + r - l*r - 109. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-7 + 5 - -19) - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 30. Suppose 5*s + 66296 = 3*s + 2*p, s + r*p = -33145. Let b = -93147 - s. What is b rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:08 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 463c (base 13) to base 10\nAnswer: 9853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let q(m) be the third derivative of m**6\/360 - m**3\/3 - m**2. Let k(d) be the first derivative of q(d). What is g(k(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1506*c**3*z**3 - 4753*c**3*z**2 + 2*c**3*z - 1723*c**2*z**3 + 9*c**2*z + 5*c**2 - 2*c*z**2 + 213*z**2 wrt c.\nAnswer: -9036*z**3 - 28518*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2100411 is divided by 190946.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -951 - -2851. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29145 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 1b50?\nAnswer: -1b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 48*i**2 - 2370*i + 3. Let k(c) = 5*c**2. What is g(k(z))?\nAnswer: 1200*z**4 - 11850*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 2*m**2 + m - 2. Let d be f(2). Suppose 10 = -d*z + 5*z. What is the second derivative of 0*k + k - z + 2*k**5 + 2 wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 2. Let c(u) = -14*u - 20. Let h(y) = 10*a(y) + c(y). Let w(m) = -87*m + 1. What is h(w(p))?\nAnswer: 348*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -389.1307348 rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 + 57*w + 109. Let i be y(16). Sort 1, i, 8, 11.\nAnswer: i, 1, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsvv when four letters picked without replacement from {s: 1, z: 3, v: 5, u: 6}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.300083l?\nAnswer: 8300.083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14371848 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 1, w: 6, c: 1, v: 5}. Give prob of sequence cvk.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3345 + -58 + (3 - (-12)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001001111001101010 + -1111011?\nAnswer: -10010001001111011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*y = -y - 5, 0 = 5*y + 5. Suppose m - 6 = -d + k, -4*m = -d - 35. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 981206 - -3\nAnswer: 981209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-28))**11 assuming b is positive.\nAnswer: b**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193680303\/707231 + 6\/101033. Does -275 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 1008018.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:10 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 591, 595, 601, 609, 619, 631, 645?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*l**3 + 6*l - 5*l**2 + 4*l**2 + l**3 to the form q*l**2 + s*l + x*l**3 + b and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -167183.\nAnswer: -4\/167183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2036*i**4 - 14314.\nAnswer: 8144*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 815\/1854 - -1\/206. Let n be 1*(5\/(-5) - -6) - 5. What is the closest to n in q, 1\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 262063.88147 and -32.53.\nAnswer: 262031.35147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f + 3*f**2 - 9*f + 0*f + 5*f + 1 in the form x*f**2 + j*f + l and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763554 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 + -604.\nAnswer: -603.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -249, 0 in increasing order.\nAnswer: -249, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(441) - sqrt(441))\/sqrt(7))\/(2*sqrt(9)*4).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.967 + -0.067. Let q = m + -12. Sort q, 3\/2, 0.1.\nAnswer: q, 0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*y + 37 = -7*y, -y - 3 = 0. Which is bigger: 10 or b?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62290218 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: Which is the closest to 7? (a) 2\/7 (b) 1\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 744802427 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -16*r + 93. Let w(i) = -35*i + 182. Calculate -7*v(u) + 3*w(u).\nAnswer: 7*u - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 44. Let s be o(0). Suppose z = -0*z + g + s, -5*z + 224 = -4*g. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24717)\/4944 - (9 - 8) - -6. Is 0 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 4*i**2 + 2*i - 18. Let d = -3 + 9. What is the units digit of p(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-419)\/190 - 30\/(-50)) + 9\/6\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - a - 5*a)*(-2*a**2 - 4 + 4) + (-1802 + 1802 + 12*a)*(-4*a**2 - 3*a**2 + 5*a**2).\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -507, -2013, -4517, -8019, -12519, -18017?\nAnswer: -24513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 31 + 64 = -4*x, 0 = -r + 4*x + 29. Let f(i) = -18*i**2 - 4*i - 5. Let o(d) = d**2 + d + 1. What is r*f(p) + 5*o(p)?\nAnswer: -13*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 31*z + 56. Give k(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 3*t**2 - 4. Calculate i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127716951 to the nearest integer?\nAnswer: 11301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -3*c + 4 - 23, 0 = 3*c - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 9093 = -3195. Let u = 22562\/11 + n. Find the common denominator of u and -25\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2633*y**2 - 2638*y**2 + 5211*y**2.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111*3 - 4\/2 is divided by (5*-1 - 1)\/((2024\/(-69))\/44).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -172, -165, -154, -139, -120?\n\"Answer: 2*a**2 + a - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.8685882 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 5:10 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -2.38?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 11 = -v, v + 3*c - 11 = -v. Suppose 0 = 2*n + g - 208, -6*n = -3*n + g - 311. What is the second smallest value in n, -2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) 13\/3 (c) 0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1771 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 - 357 = -5*f + v, 0 = f + v - 27. Solve -2*t - 16 + f = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/15 - (-104)\/40. Let v = 7 - g. Suppose -3*b = 2*q + 39, q + 8 = -4*b - v. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 13, m: 4, h: 3}. What is prob of picking 1 m and 2 h?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13185 - -13355. What is the greatest common divisor of 290 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1752432*p**3 + 3504868*p**3 - 1752441*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 46*u + 248. Give i(42).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*t - 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*q - 49847 - 57627. Is 117 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 smaller than -69\/853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1508 and 99869380.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by 48\nAnswer: 71\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y**2 + 114*y - 7. Is 67 a factor of x(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54968183, 54968182, 54968181, 54968180?\nAnswer: 54968179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y. Let i(m) = 30*m**2 - 2*m + 6599. Calculate z(i(t)).\nAnswer: -90*t**2 + 6*t - 19797","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1)\/(65\/(-130)). Let v(x) = 4*x + 4. Let l(w) = -3*w - 5. Give f*l(b) - 5*v(b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2032584 by -3.\nAnswer: -677528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-94017)\/(-12210))\/((-22)\/(-35)). Suppose 0 + 13\/4*f**3 - z*f - 1\/4*f**4 - 35\/4*f**2 = 0. What is f?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 17. Suppose 4*x + 2*r - 478 = 0, 2*x + y*r - 593 = -3*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4020203331 (base 5) to base 8\nAnswer: -36331052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -1, 5, 1, 3, -141 in descending order.\nAnswer: 5, 3, 1, -1, -46, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a + 4. Let m = -3.39 - -3.2. Let c = 2.19 + m. What is the second biggest value in c, 4, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5701 - -11327. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40913*p = -41044*p - 2882 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4844350, -4844337, -4844324, -4844311, -4844298, -4844285?\nAnswer: -4844272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/376165 and -1\/23.\nAnswer: 376165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2069 = 75*v + 1319 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.118 - -2.918. Which is the fourth smallest value? (a) -0.1 (b) p (c) 4\/7 (d) 0.2 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a + 5 = -2*c, 4*c = -3*a - 5. What is the closest to -2 in a, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {u: 10, b: 1, x: 3, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011004089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 - 11102*w**2\/9 - 11104*w\/9.\nAnswer: 2*w*(w - 5552)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 537768 divided by 1067\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1*(-24)\/48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*z = 317*z - 1485. What is the greatest common divisor of z and 2277?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (700\/4)\/(1 + 0). What is the units digit of (-2 - -1)*t\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21375 and 88787?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(44)\/sqrt(2))\/sqrt(11) + sqrt(2).\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019413?\nAnswer: 11, 17, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t + 19*t + 6*t - 6*t. Let y(l) = l. Give k(y(f)).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/16 and 145\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -17. What is the least common multiple of 7 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.0058 (b) -4\/5 (c) -5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-581))\/(((-18080)\/560)\/(-113)).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -420 + 482. Suppose w*k - 56604 = 50*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 6*h - 4*h)*(3*h + h - 6*h)*(4 - 4 - 13)*(2 - 2 + 3*h).\nAnswer: -156*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 27 - 7. Let t(s) = 10 + 13*s - q - 12*s. Let y(h) = 4*h**2 - 11*h. Let w(a) = -a**2 + 2*a. Let d(k) = 11*w(k) + 2*y(k). Determine t(d(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 6, -4, 38, 1 in decreasing order.\nAnswer: 38, 6, 3, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*u - 35, 5*p - 50 = -253*u + 250*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 20. What is the second derivative of 11*d**4 - 3*d**4 + 0*d + b*d wrt d?\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.3 - -8.7. Let y = b - 38. What is the third smallest value in 0.5, y, -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 - 100. Sort 2\/15, 0.17, z in descending order.\nAnswer: 0.17, 2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -30 - (-50 - -77)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -334\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x + x + x + (4 - 3 + 0)*(x + 0*x + 0*x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 55963410*r**2. Let x(p) = -2*p. What is o(x(q))?\nAnswer: 223853640*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 2. Let l be y(-2). Suppose l*d = d - 54. Let n be 2\/(-10) - d\/(-45). Let t(b) = -6*b + 1. Determine t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*t - 7462 = 95*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 4*d**2 - 3*d**3 - 6*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3792*j**5 + 3275*j**2 wrt j?\nAnswer: -227520*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a centimeter in millimeters?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h + 63. Let a be p(0). What is the third derivative of 749*w**2 - 746*w**2 + 0*w**3 - a - 167*w**5 + 0*w**3 + w**4 wrt w?\nAnswer: -10020*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from eegenggggecgete.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1737 - 3*g + 2*g**3 + 4*g - 1736. Let x(h) = -35*h**4 + 8*h**3 + 6*h + 34. Let f(u) = x(u) - 4*y(u). Find the second derivative of f(m) wrt m.\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 368859195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*h + 105. Suppose 0 = 2*o + 10 - h. Calculate the least common multiple of o and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 6*z + 296. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*o + 180*o - 50*o)*(1 + 2 - 1) - 5*o - 2*o + 4*o + (2*o - 2 + 2)*(3 - 6 + 1) + 0*o - 5*o + 2*o.\nAnswer: 66*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/4)\/(252\/(-2160)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.8. Suppose -2 = v, -v - 3 = m + 3*v. Suppose -m*y = -3 + 8. What is the nearest to -0.1 in p, y, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1607*j**2 - 2049.\nAnswer: 3214*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3 - (-5 + 18\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l + 51*l + 36215 = 3335. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let j be (-1 + 1 + 2)*l. Let g be (2 - j) + 0 + -1. Let x(b) = 2*b**2 - 3*b - 1. What is x(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/4)\/((-1)\/12). Suppose 6*u = 21 - z. Solve 5*t = 8 + u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.046 + -0.162. Which is smaller: k or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 1471*t**3 + 1448*t**3 - 19 - 2*t.\nAnswer: -23*t**3 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47055436 (base 8) in base 14?\nAnswer: 150a446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 18*m = -10, -5*u + 2*m - 6 = 14. Suppose u*i + 4\/5 - 4\/5*i**2 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, d: 8}. Give prob of sequence cdc.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 31. Let j be u(7). Suppose 0 = 4*l + 5*m + 70, 6 = -3*l - 3*m - 45. What are the prime factors of 357\/6 + j + l\/(-6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2278803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 12:29 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 25*n**2 - 106*n - 198. Let k be y(7). Let i = 164\/255 + 2\/85. Are i and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91, 181, 271, 361, 451, 541?\n\"Answer: 90*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 4171239775387*p + 4171239775387*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 83?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 62?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 59*k + 570. Calculate r(15).\nAnswer: 1005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-21)*(-378)\/(-1053)*-13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/10)*x**1*(x**2\/x*x)**(-12) assuming x is positive.\nAnswer: x**(-227\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/4090?\nAnswer: 1\/4090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-2929859.9\nAnswer: -2929860.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555 = -7*s + 170. Let j = 582211\/72270 - 2\/4015. What is the common denominator of j and (-2255)\/242 + 10\/s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 166 = -2*u + 6*u, -170 = -3*k - 2*u. Let g = 62 - k. Solve g*z - 12 = 0, 5*z = r + 2*z + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245 a factor of 155105835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4 + 7731792*a**3 - 3736264775256*a**2 - 22417797410352*a - 33626800495044 = 0 for a.\nAnswer: -3, 966477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0 + 3. Let s be 44\/(-7) + 2\/7. Let r = n - s. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 294.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = 0, 4*y - 2*r - 255 = 1075. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 5*v**2 + 23*v - 79. Let b = 11 + 9. What is the lowest common multiple of g(5) and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*m + 283, 0*f - 2*f - 137 = 3*m. Let y = -49 - f. Suppose -2*j - 25 = -5*b + y, -42 = -3*b - 3*j. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 11*x**2 - 2*x - 24. Let v be n(-11). Is (2\/(1 + -3))\/(v\/506) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103590 - 103640 + 11*z**3 + 310876 - 103646.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119651, -478572, -1076781, -1914284, -2991087?\nAnswer: -4307196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -326*d**2. Let m(a) = 2*a. Give j(m(p)).\nAnswer: -1304*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 25 = h, 0 = 5*w - w + 20. Suppose 5*m + h*m = 3*y - 546, y + 5*m - 202 = 0. Suppose -y - 153 = -10*o. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*r + 17. Suppose -r = 2*x - 2*a - 22, 4*a = -4*x. Solve -i = -5*v + 13 + 1, 4*v = x*i + 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = u - 15, u - 4*n = -0*u + 16. What is the highest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24844438*-0.1.\nAnswer: -2484443.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = p + 23, -2*p + 31 = p + 5*n. Let a(l) = -2*l**p - 2 - 6*l + 6*l - 8*l - 12*l. Is a(-8) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 14924*d + 21072682. Calculate z(-1412).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 3) to base 4\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l + 70*l = -391 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 18 = -w, 6*a - w = a + 18. Let i be ((0 - -1) + a)*1710\/150. Let j = i + -48. Calculate the greatest common divisor of 72 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**2 + 4*w**3 - 21 - 4*w**2 + 23 + 3*w**3 to i*w + r*w**2 + g + y*w**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let x = v + 1. Which is the second smallest value? (a) -1\/2 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252 - -258. Which is the second biggest value? (a) -1\/7 (b) n (c) 2\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5174 (base 14) to base 15\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/k**(-3\/4)*(k*k**(-7)*k)\/(k**(-3\/5)*k))**22 assuming k is positive.\nAnswer: k**(297\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*s = 2*a - 76*s - 280, 0 = -3*a - 2*s + 396. Calculate the remainder when 502 is divided by a.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g - 12. Let q(w) = 4*w - 17. Let u(t) = 7*a(t) - 5*q(t). Let n = -4 - -3. Give u(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18406541717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**3 + v**2 + 1179*v + 2. Let w(q) = 17*q**3 + 3*q**2 + 3540*q + 8. Calculate -7*t(h) + 2*w(h).\nAnswer: -h**3 - h**2 - 1173*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*h - 333*h = -13932 for h.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 1102210102222?\nAnswer: -1102210102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fenfoenzzzlo. Give prob of picking 1 f and 2 e.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -23, 1\/2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37065 (base 9) in base 15?\nAnswer: -7565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.8412 centuries in months?\nAnswer: 297409.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1274 <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5370*c**4 - c**2 + 8697*c - 3 wrt c?\nAnswer: -64440*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 506 + 503 - 1510 + 10*t + 501. Let n(r) = -110*r**2 + 99*r. Let b(z) = z**2 - z. Let l(h) = -198*b(h) - 2*n(h). Calculate l(j(g)).\nAnswer: 2200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 124\/(-6)*((-77)\/14 + 4). Suppose -5*u = 3*x - 55, 4*u - x - 13 - j = 0. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-d + d - d)*(4*d**2 + 2*d**2 - d**2).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let k(t) = -6*t - 4. Suppose -v - 3 = 2*w, 5*v + 6 = 21. Let c = w - 1. Let m(j) = 7*j + 5. Let n(q) = c*m(q) - 5*k(q). Give p(n(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27880820 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, g: 3}. What is prob of sequence ggug?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0069269 to 4 dps.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = -167*c + 360 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1040)\/(-3627) - (-8)\/(-124). Which is greater: -126 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/282429940?\nAnswer: 3\/282429940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -1. Let k = -14 + 15.9. Let i = 1.8 - k. Which is the nearest to 0.1? (a) 2\/7 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 9. Let d(g) = -794143*g. Give f(d(i)).\nAnswer: 630663104449*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8478 (base 12) to base 14\nAnswer: 53d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -2\/729, -2\/17, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 864 - 511. Let q = v + -352.2. What is q rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15800 and 39500?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35825 or 10448?\nAnswer: 10448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22033 - 10547. Is 96 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2174 - 232616\/107. Let c = 418\/535 + z. Solve -4\/5*q - 2\/5*q**4 + 0 + 2\/5*q**2 + c*q**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2\/3*a - 1\/3*a**5 - 3*a**3 + 7\/3*a**2 + 0 + 5\/3*a**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-35) + 9\/5. Let o(u) = -8 - 8 + 16 - 2*u**s. Let p(i) be the third derivative of i**4\/24 - i**2. What is o(p(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/17 - -199\/255. What is the closest to -2 in k, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 296 - 300. Let r(f) be the second derivative of f**3\/6 + 2*f**2 + f. What is r(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**3\/3 - 9*h**2\/2 - 6*h + 4. What is the tens digit of s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7491, 7515, 7539?\n\"Answer: 24*c + 7467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 495155\/112 + -4421. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 5*z**2 - 419*z - 2485. Calculate u(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212 - l**3 - 5*l**2 + 5*l**2 + 212.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18736 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 204409433 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.9 - 2.02. Let j = 17.9 - x. Round j to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14ab27 (base 15) to base 9\nAnswer: 1781161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 7*x - 8. Let y be w(6). Let g be 2\/y*1*2. Let q(m) = 1 - 12*m - 3*m + 2*m**2 - 7*m + 21*m. Give q(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 6*z + 30. Let v be ((-50)\/z)\/((-3)\/(54\/(-4))). What is the highest common factor of v and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 - -116. Let l(u) = u**3 - 4*u**2 + 18*u - 67. Let z be l(8). What is the greatest common factor of a and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 30 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13361419*l**3*v**2 + 6*l**2*v**2 - 3*l**2*v - 2*l**2 + 2022*v**2 + v wrt l?\nAnswer: -80168514*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 561 + -5036\/9. What is the common denominator of h and -61\/94?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120532679.\nAnswer: 120532679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23b + -222?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**7)**(-12\/17)*f**(2\/7)*(f**15*f)\/f assuming f is positive.\nAnswer: f**(2323\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0371+-0.06341\nAnswer: -0.10051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792 + 412 = 76*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10007 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179885 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)*p**(-10))\/((p*p\/(p\/(p*p**12\/p*p)))\/(p**(-2\/69)*p)) assuming p is positive.\nAnswer: p**(-2210\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 7345 - 7337 = m, -3*m = 4*j - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3911571, -3911601, -3911631, -3911661?\n\"Answer: -30*a - 3911541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 129 = -0*w + w, -3*w = 3*n - 390. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 3:59 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = -4*x. Let w be x - ((-28)\/8)\/(-7). Let r = 16 - 15. Which is the closest to 0? (a) 0.2 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56.4 + -55.9. Let q be -1*4 + 108\/26. What is the fourth biggest value in q, 0, b, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9247 - 396. List the prime factors of r.\nAnswer: 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 111*w**2 + 6*w - 5. Let v(u) = -2*u**2. Determine l(v(d)).\nAnswer: 444*d**4 - 12*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(-5) + -4 + (-3)\/5. Let u(t) = -19*t - 2. What is the units digit of u(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmpmmmxmmmpmmpkmow. Give prob of sequence kom.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192605.2 weeks to hours.\nAnswer: 32357673.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1101001110 (base 2) to base 7\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a1 + -3?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 459194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 373, 375, 377, 379?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 119181368.3 to the nearest ten thousand.\nAnswer: 119180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 16. Let c be l(-4). Suppose -20*v + 18*v = -c. Let o(n) = 8*n + 3*n**3 - 9 - 3*n**3 - n**3 + 0*n**3 + 5*n**2. Calculate o(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/9)\/(1*-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ekjlqklx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 8:57 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from {x: 3, k: 1, s: 1, c: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1369606 + -96.1322606. Let d = 103.3 + -7.3. Let t = d + p. Round t to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227221 divided by -1?\nAnswer: -227221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1632.3*858.\nAnswer: -1400513.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 12 = -3*d. Let q = -4 - -6. Let z(c) = q*c - 2*c**2 + c**3 - 2 + 0 + 4. Calculate z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223826009 and 1562.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*n - 119*n + 8. Let f(a) be the first derivative of 4 + 1\/2*a**n + 0*a**3 - 1\/4*a**4 - 1\/10*a**5 + 1\/2*a. Find b such that f(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i + 118*i + 11*i - 18*i.\nAnswer: 155*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*z = 13 - 20, l = -2*z + 5. Solve 4*i - l = -1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.771 - 15.971. What is the closest to 1 in -0.2, 14, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.657 rounded to 1 dp?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 70 = 2*r, 6*r + 135 = 2*p + 3*r. Let l be (-124)\/(-10) + p\/100. Let x = l + -11. What is the remainder when 9 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 381957 and 146433.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/7 + 5146*h**4\/7 - 20564*h**3\/7 + 30836*h**2\/7 - 20554*h\/7 + 734.\nAnswer: -2*(h - 2569)*(h - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 939054, 938569, 938084, 937599, 937114, 936629?\nAnswer: 936144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 2. Let z be m(-5). Suppose -z = -2*o - 5. Which is the third biggest value? (a) -2\/3 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -130 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -4 - (8 - (8 - -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bibiijibbjj. What is prob of picking 2 j, 1 b, and 1 i?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-16 + 1)) + (-188 - -190)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -12*y - 8. Let j(c) = -23*c - 15. Let x(n) = 11*a(n) - 6*j(n). Calculate x(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 86.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqq when three letters picked without replacement from eqeqqeeqedeeseqq?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 - -4)) + (-9 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*t - 31*t + 29*t**2 + 67*t.\nAnswer: 29*t**2 + 101*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/102)\/(29\/(-174))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((8\/7)\/(-4))\/4. Let w(i) = i**3 - 15*i**2 + 14*i. Let y be w(14). Let m = 0.0543 + 0.4457. What is the smallest value in g, m, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116482, 232981, 349504, 466051, 582622, 699217, 815836?\nAnswer: 932479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, -79, -1, -15 in increasing order.\nAnswer: -79, -22, -15, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 2*g, 2*y - 3*g - 1 = -2*y. Let p = -47142.5 + 47143. What is the third biggest value in -1, y, 0.2, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 45*n**2 + 53*n**2 - 3 + 36*n**2 - 132*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/120 - z**5\/20 - z**4\/8 - z**3\/6 - 20*z**2. Let x = 1 - -3. Give v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41050 + 1?\nAnswer: -41045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g + 398. Calculate the remainder when 1243 is divided by i(40).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 72?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63619728 a multiple of 3730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105811 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**3 - 1. Let w(s) be the first derivative of s**2\/2 - 13*s + 5. Let y be w(11). Is d(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.03998 + 0.03998. Which is the nearest to -0.1? (a) -0.02 (b) -0.205 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0684 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4244*m - 30. Let o(f) = 163392*f + 1152. What is -5*o(n) - 192*t(n)?\nAnswer: -2112*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 3)**2*3.\nAnswer: 144*sqrt(11) + 2139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1669*d - 130165 + 163545 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**3 - 4*u**2 + 4. Let z(v) = 9*v**3 + 5*v**2 - 5. Let p = -113 - -122. Suppose p*a = 20 + 25. What is a*i(g) + 4*z(g)?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-8 - 5) - (-5 - 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1511.8*0.3.\nAnswer: 453.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7423631 to the nearest integer?\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from yajqv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -6 (c) 0.033 (d) 1\/7 (e) 12\/13 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -14\/19, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(-4 - 3\/(-6)). Suppose p + 7 = -0*p. What is the tens digit of (-479)\/p + (-9)\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1332 and 605172.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 354.3 + -356.947. What is z rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186*i**2*j**2 + 4*i*j**2 + 3*i*j - 8*j wrt i.\nAnswer: -372*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -4 - (-22 - -17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-24))\/(8\/(-6))*4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + l**2 - 5*l**2. Let m(o) be the third derivative of 0 + 0*o**3 - 8*o**2 + 0*o + 1\/12*o**4. Determine t(m(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-45)\/24*(-231)\/55 and -70\/1167.\nAnswer: 9336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -4906?\nAnswer: -490b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 8*h**2 + 12*h - 1. Determine l(-10).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 7 = -23. Let l = -743 - -215. Let o = l - -529. Which is greater: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*k - 80 = 0, 2*j - k + 422 = 399 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -1\/6, 28770, -2, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115264.\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6518277 and 2013.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:52 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7480 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/3 - 1060*b**3\/9 + 19592*b**2\/3 - 323828*b\/3 - 330398\/9 = 0. Calculate b.\nAnswer: -1\/3, 31, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103033 (base 4) to base 2.\nAnswer: -10011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (16\/(-12))\/((-3)\/99).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**9\/7560 + v**7\/560 + v**5\/12 - 5*v**2. Let y(z) be the third derivative of u(z). Find the second derivative of y(l) wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -6.1. Let x = -0.100045 + u. What is x rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*x - 10, 0*p + 2*p - 3*x - 14 = 0. Suppose -9673 = -p*l - 3203. List the prime factors of l.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -303811 >= -303804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2479 and 402.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/4))\/f)**(-42)*(f**(2\/5))**(-13\/5) assuming f is positive.\nAnswer: f**(473\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*-0.4.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -415 divided by 347.\nAnswer: -415\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 9:58 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcwwwwuucwcccw. Give prob of sequence wcc.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*k**3 + 28*k**2 - 60*k**3 - 7*k**2 + 4*k + 2 + 170*k**4 - 177*k**4 + 4*k to the form v*k**2 + d*k**3 + u*k**4 + i*k + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -477 - 321 + 3*n**2 + 2065 - 780 + (2*n - 3*n - n)*(n - n - n).\nAnswer: 5*n**2 + 487","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 141. Let j(y) = -5*y - 2. Let f(p) = -p + 3. Let i be f(5). Let r be j(i). What is the greatest common divisor of q and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -490 + 484.78. Let i = t - -5.22000333. What is i rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*u**4 + 26*u**4 + 7*u**2 - 2*u**5 + (4*u**5 + 2*u**5 - 5*u**5)*(2 - 1 + 3).\nAnswer: 2*u**5 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-23 - -12) - (3 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 47488570\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -33124314231?\nAnswer: 33124314233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -5\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 6*k - 7. Let w(s) = -6*s**2 + 120*s + 140. Let g(p) = 20*v(p) + w(p). Let j(b) be the first derivative of 16*b**3\/3 + 1. Calculate g(j(l)).\nAnswer: 3584*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7770 + 7771. Solve 10*m = 13*m - 5*t + g, m = -4*t + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*k + 2*k. Suppose 11*d - k*d = 40. Suppose -d = -2*u + 36. What is u rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 30 - (-1 + (5 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/10, 5, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2 - h**2 + 3*h**2 - 7 - 5*h**2 wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*r - 68 + 68)*(3*r - 2*r + r + (-r - r + 0*r)*(0 - 1 + 3)).\nAnswer: -38*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(2 - (-71)\/(-35)). Suppose i + 70 = -5*v. Let p be 6\/v - 11\/(-14). Sort p, -4, 0.2 in decreasing order.\nAnswer: p, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*(-12)\/9. Let b(z) = -z**2 + z + 1. Let g(x) = -2*x**3 + 11*x**2 - 11*x - 12. Give r*g(t) + 22*b(t).\nAnswer: -4*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 12:24 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.3, 17, 9, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/12 + t**3\/6 - 3*t**2\/2 + 5*t. Suppose 4*q - u - 2*u + 15 = 0, 5*q + 20 = 5*u. What is the units digit of y(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1699*q - 1108*q + 28182 + 40054 = -370*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 3. Suppose 0 = -2*n - 0*n - 10. Let c be v(n). Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4043 at least as big as -4042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57344 (base 8) in base 16?\nAnswer: 5ee4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28682 + -45175. Let d = p - -23412. Suppose d = -11*a + 99. What is a rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 12*g**2 - 34. Calculate o(-7).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuw when three letters picked without replacement from {u: 1, w: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 2*m**6\/15 + 2*m**5\/5 + 15*m - 1. What is h in b(h) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 7707\/26573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 14*f - 12. Let d be c(-5). What is the tens digit of 2\/6 + 1441\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12184, -48347, -108618, -192997, -301484?\nAnswer: -434079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12516 = -37*u + 11628 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1644)\/(-84) - 8 - 12.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5233*c**2 - 184*c**2 - 832*c**2.\nAnswer: 4217*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 62383 - 62689 = 0 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.91 (c) -0.9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u - 80. Suppose a + 4*g - 19 = 0, 5*a + 3*g - 39 = 2*a. Let h be w(a). Solve 4*q = k - h, -3*q = -7*k + 2*k + 27 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4813 + 4823. Sort a, -7, 0.01 in increasing order.\nAnswer: -7, 0.01, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - h - 2. Let d(o) = -5*o - 2 + 1 + 2 - o**2 + 6*o. Let w(i) = i**2 - 4*i - 1. Let l be w(4). What is l*q(g) - 2*d(g)?\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r**4 + 0*r + 0 - 5*r**2 + 0*r**3 - 1\/210*r**7 + 0*r**6 + 1\/60*r**5. Factor m(y).\nAnswer: -y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 divided by -2?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4081*s**2 + 6*s + 5. Let b be g(-5). Round b to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - h**2 - 82*h + 21. Calculate the remainder when a(11) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 13*s**2 + 6*s - 15. Let m be o(13). Suppose 4*f - 3*f = d - m, -5*d + 319 = -3*f. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41.16, 0.1, -1463.\nAnswer: -1463, -41.16, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 14*p**2 + 4*p - 24. Calculate the remainder when m(-10) is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f**3 + 3*f**3 - 4*f**3)*(272*f**2 - 262*f**2 + 3 + 0).\nAnswer: 70*f**5 + 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*y + 85*y + 208 = 0. Calculate the lowest common multiple of y and 14.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 1844, 247, 19, 2 in descending order.\nAnswer: 1844, 247, 19, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1, -4, 10 in decreasing order.\nAnswer: 10, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(-1\/5)\/r)))**(-2\/71)*r**3\/(r\/((r**(2\/7)\/r*r*r)\/r)) assuming r is positive.\nAnswer: r**(5764\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-21))\/(80\/(-280)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217 and 310?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -34. Let w(t) = -4*t**3 - 4*t**2 + t - 2. Let j be w(b). Let d = 6 + j. Calculate the remainder when d is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 2*q. Let l(m) = 2*m - 9. Let v be l(6). Is 12 a factor of g(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/3 - 3858298*f - 11574896\/3 = 0.\nAnswer: -1, 5787448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -169 (c) -2 (d) -2242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-1) + (92 - 7). Suppose 0*r + 2*r + y = -h, -r = 3*y + 41. Let t = r + 57. What is the remainder when 46 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (314\/510 - (-4)\/34)*(-200)\/(-40)*33\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 13*z**2 + 18*z + 19. What is the hundreds digit of l(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.7 + 0.3. Let c = 24.6 - s. Put -0.1, -7, c in decreasing order.\nAnswer: -0.1, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -16, 12, 60, 134, 240, 384?\n\"Answer: p**3 + p**2 + 4*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 9:20 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3574 - 316 = 0. List the prime factors of l.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 116 = -4*q + 107, -3*t = -q + 43. Is q - -7 - 3\/1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1) + -3 + 5. Solve -2*u + 10 - 8 = z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*f + 5*w, 4*f = 722199*w - 722198*w + 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11133 - -1?\nAnswer: 11134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4982?\nAnswer: 2, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/3 - 116*d**2\/3.\nAnswer: -4*d**2*(d + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*a**4 + 14*a + 94*a**2 - 94*a**2 wrt a?\nAnswer: -456*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 2 - (-9 - (-9 + (37 - 15)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 9610?\nAnswer: 57660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*s, -4 = -2*s - 5*i - 36. Is ((-2)\/s)\/(3\/((-9090)\/(-5))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -9. Let y(v) = -40*v**2 - 223*v - 3. What is the remainder when y(-5) is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.060484kg in grams?\nAnswer: 2060.484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5254.761 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 + 11*r**2 - 6*r + 5. Let x be l(-6). Let j(t) = -2*t**2 + 4*t - 2. Let n be j(x). Let i be (-4)\/n*-22*-4. Solve -i = 3*u + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -56 + 59 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19080 - -19081.1. What is the closest to 0 in -2, 0.5, o, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*2*6)\/(sqrt(847) + 3*sqrt(847) + sqrt(847) + sqrt(847)))**2 - (sqrt(1728)*-2 + sqrt(15)\/sqrt(80)*2).\nAnswer: 12\/121 + 95*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.142 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 87\/2 of a millimeter?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -31*f**3 - 2*f**2 - f + 2. Let n be q(1). Let b be 1340\/8*n\/(-10). Let u = -4819\/9 + b. Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 - 29*q**2\/3 - 28*q\/3.\nAnswer: -q*(q + 1)*(q + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6052419?\nAnswer: 3, 263, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/6 - 87613*x**2\/6 - 525597*x\/2 - 2365065\/2 = 0.\nAnswer: -87595, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - -70 - (3 - ((-5 - -3) + -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166173, 332353, 498533, 664713?\nAnswer: 830893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -w - 11. Is (-7789)\/3*75\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**3 - 727*b**2 + 11285*b + 90. Calculate v(71).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -50, -65, -72, -71, -62, -45?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 1790, -302, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, 0.3, -149, -37\/2, 6 in decreasing order.\nAnswer: 6, 0.3, -1\/3, -3, -37\/2, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -774\/1072567 or 1?\nAnswer: -774\/1072567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3650890469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -848\nAnswer: 11\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u - 6*u + 3*u - 8*u**3 + 3*u wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhz when three letters picked without replacement from {b: 3, h: 4, e: 1, z: 1, n: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 899 divided by -1291\nAnswer: -899\/1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 3078783*f**2.\nAnswer: 3*f**2*(f + 1026261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -98*f**3 - 837145386*f**2 - 717553134*f - 153761382 = 0.\nAnswer: -8542299, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-27)*306\/4. Suppose -t - 2*t - v = 0. Let j be -2 + -2 + (-66)\/t. Which is the closest to -1? (a) -5 (b) 5\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -28*f + 2. Give c(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*5 + 10 + -8. Let j be s\/77 - (0 + 0). Let h = 34 + -240\/7. Is j at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152820 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) + sqrt(190)*1*3)) + (sqrt(190) - 1*sqrt(190)*-4))\/(sqrt(50)\/(sqrt(5) + 3*sqrt(20)\/sqrt(4) + sqrt(5))) + 4.\nAnswer: 4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39439, 78939, 118467, 158023, 197607?\n\"Answer: 14*r**2 + 39458*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.5 - 33. Let z be (3\/4)\/(63\/24). Which is the closest to z? (a) 0.1 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 11, t: 8}. What is prob of sequence tcc?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 349*h**3 - 173*h**3 - 179*h**3 - 225 + 23*h - 22*h to d + i*h + g*h**3 + k*h**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -167, -166?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-10 + 3))*-3. Let q be 3*(0 + -1) - b. Solve -q = -2*z - 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*a**5 + 14*a**4 - 543*a - 2.\nAnswer: 880*a**3 + 168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 127212.\nAnswer: 1399332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1901*q - 6480 = 1856*q. What is the highest common divisor of q and 768?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(66))\/(sqrt(294)*3).\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -0.061, 15\/2, -0.5?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + (-8 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and -1021635.\nAnswer: -1021634.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2557051809?\nAnswer: 3, 13, 3623, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*i + 1930, -7*i + 4*s + 1928 = -4*i. Calculate the highest common factor of 40 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 20. Let w(m) be the third derivative of m**5\/60 - m**4\/6 - m**3 - 1289*m**2. Does 12 divide w(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 151, -5, 1, 229 in descending order.\nAnswer: 229, 151, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**3 + 78*b**2 + 64*b + 126. Let m(w) = -w**3 + 15*w**2 + 13*w + 25. Let o(p) = -11*m(p) + 2*t(p). Is 27 a factor of o(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -636*g**3 + 92*g**4 - 32 + 3*g + 34 + 3*g**2 + 1266*g**3 - 630*g**3 to the form o*g**3 + n*g**2 + t*g**4 + m*g + c and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5015281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5513820 is divided by 33417?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 150.1751 hours?\nAnswer: 540630360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 10*x + 10. Give h(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 744553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 30*u**2 - 2*u**3 - 64*u**2 + 2.\nAnswer: -2*u**3 - 34*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -142, -484, -1152, -2254, -3898, -6192, -9244?\n\"Answer: -18*n**3 - n**2 + 5*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -55 + 63. Solve 5*v = o + 16, 10*v - 3*o = 9*v - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2692678 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*1*sqrt(1100)*-2*-4.\nAnswer: -1600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1) + 6\/(-3). Let n be -2*(24\/(-2))\/b. Let i be -11 - 1\/(2\/n). Which is smaller: i or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -3)*((-629)\/(-68) + -9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -33*v**3 - 8*v**2 - 13*v. Let m(h) = 29*h**3 + 8*h**2 + 14*h + 1. Let x(z) = 7*c(z) + 8*m(z). Determine x(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 9*x + 48 - 11*x to h*x + l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/1 - (0 - 842). Calculate the common denominator of n\/(-440) - 2\/5 and (42\/9)\/((-4)\/(-27)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7, 2, 0, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, f: 2}. What is prob of picking 2 l and 1 f?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-3*m + 3*m + 2*m**2) - 50 + 2*m - 63 - 2*m + 73617*m**2 + 113.\nAnswer: 73613*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 3*l + 2. Let o be s(2). Let j = o + 8. Suppose -z + 3*g = 0, 0*z = 4*z - 3*g. Solve z*f - 5*f = j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374071 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o - 4 = 0. Solve -2*r = -k - 0*r, 2*k + o*r = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/16 - (-2972)\/16. Suppose f - 46 = -7*a. Is 6 a factor of ((-30)\/a)\/((-6)\/(-356))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1121098*j**2 + 423579*j**2 - 754589*j**2.\nAnswer: -1452108*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53812*c**3 + 48812*c**3 - 112396*c**3.\nAnswer: -9772*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172322 is divided by 238?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 4886?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -237918.6 minus 308.28?\nAnswer: -238226.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/42 - (12\/(3 + -1) + -5).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2) + -1)\/((-14)\/(-56)). Solve -8 = -r*z - 0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012376 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 3. Let x be i(-5). Let q be 497 + x*6\/(-4). Let k = q - 339. What is the highest common factor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 3*d + 34, -2*d - 7*n = -2*n + 37 - 11 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 11:51 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4143901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 1\/20*m**5 - 1\/2*m**2 - 6 + 1\/3*m**3 + 5*m - 1\/12*m**4. Let k(w) be the first derivative of y(w). Give k(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*v + 0 - 5*v)*(856*v - 838*v - 5 + 0).\nAnswer: -36*v**2 - 8*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 15) to base 6\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 2. Let i be a(-2). Suppose -3*h - 14 - i = 0. Let x be (-9)\/h + (-3)\/(-2). Solve 2 = 3*c - x*o + 11, 3 = -3*c + o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4273256 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 91*o**2 + 60*o + 106. Determine k(-2).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p + 4*p - 3*f, 0 = -5*p + 2*f + 15. Calculate the common denominator of p\/(-20)*1960\/(-48) and ((-14)\/(-2 + 4))\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) -15 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3\/5 + 468*p**2\/5 = 0.\nAnswer: -156, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 730 + -1093. Let g = h + 398. Are -2 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.102 + -14.898. What is the second biggest value in q, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 430 - 435. Let n = -18 - -17.7. Which is the third smallest value? (a) s (b) n (c) 11 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1213 - 1213. Which is the third biggest value? (a) m (b) 1\/2 (c) 3.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5806659 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.851 and -1?\nAnswer: 0.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 71 = 5*d. Which is greater: -11 or d?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 12 - 5 + 2 - v**2 to z*v + b + i*v**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + 4. Let d = t - 25. Find a, given that 8 - a**2 + 52*a - 20*a**2 - 24*a + d*a**2 = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7740, -15569, -23388, -31191, -38972, -46725, -54444, -62123?\n\"Answer: z**3 - z**2 - 7833*z + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124\/14 + (-67)\/(-469) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 7, 315, -141, 2 in descending order.\nAnswer: 315, 7, 4, 2, -2, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19703489 and 2941.\nAnswer: 334959313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 397 and 75.\nAnswer: 29775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/8 and -107\/6172220.\nAnswer: 12344440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*-2 + -5 + 1 - (-1*(sqrt(1700) - (sqrt(1700) - (1 + sqrt(1700)))) - -2*sqrt(1700)*3))**2.\nAnswer: 420*sqrt(17) + 83309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153059 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0*o**3 + 0*o**5 - 4*o**2 + 0 + 0*o + 1\/60*o**6 + 1\/6*o**4. Find the second derivative of m(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + (0 - -1) + (-48)\/(-2). Suppose -5*d + 16 = 3*z - 2*z, -2*z - b = -3*d. Solve -j = -t + 2, 0 = 4*t + 4*j + d - 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 5*w + 8. Let q be y(-6). Let j be 4 - (8\/2 - q). Factor -1 + 3 + 4*h**3 - j*h - 4*h**2 - 4*h**5 + 2*h**5 + 2*h**4.\nAnswer: -2*(h - 1)**3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -445*c**2 - 435 + 207*c - 272*c + 647*c + 293*c + 5*c**3.\nAnswer: 5*(c - 87)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {q: 1, p: 1, z: 2, i: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 141841 divided by 1?\nAnswer: 141841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3719613, 3719610, 3719607, 3719604, 3719601?\nAnswer: 3719598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 19. Calculate the greatest common divisor of 3 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45325872?\nAnswer: 2, 3, 239, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441599952 = -6*o - 18*o. Let d be o\/(4 - 3) + -2. What is d rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x + 6. Let j(q) = 8*q - 15. Let o(n) = 5*d(n) + 2*j(n). What is o(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102 or 511\/5?\nAnswer: 511\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 31 + 36. Which is smaller: 9\/14 or i?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78416600 divided by 5371\nAnswer: -14600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*a = 8*p - 2985, 5*p = 3*a + 4935. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3552 and 111888.\nAnswer: 223776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3\/59, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2521409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 957435 and 31?\nAnswer: 957435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -28027544.\nAnswer: 504495792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5726.\nAnswer: 2, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2 - 2 - 13 - c**3.\nAnswer: -c**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f - 30. Let h be x(0). Let s = h + 69. Let n be ((-8)\/(-12))\/((-1)\/(-39)). What is the greatest common factor of s and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z - 77 - 12979. Let t = 1982 + z. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*n - 32, -4*n + 52*p + 104 = 54*p. Solve -9*j = n - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40939 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 35. Suppose -3*j = -7*j - w. Is (-1)\/1 - -1 - j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 133610?\nAnswer: 133611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f**2 + 6*f**2 - 11*f**2. Let j(c) = -17 + 8 + 2*c**2 + 9. Give u(j(r)).\nAnswer: -52*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 1.41.\nAnswer: 15.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*i + 12 = 5*i, 0 = -2*b + 5*i - 6. Suppose -4*m + 8 = -0*m. Let f be (m\/(b + 0))\/1. Solve -p + 11 = 4*l, 0 = -4*p - 4*l - f - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 4*c + 2. Let t be (6\/4)\/(15\/(-20)). What is o(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/87008 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 14*a**2 - 4*a + 78. Let d(m) = m**2 - m + 37. Let v(g) = -2*d(g) + u(g). What is v(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 12. Let v = 29 - 23. Let j be x(v). Suppose j = i + 2*i - 195. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 101 = -9. Let x(g) = -1. Let u(d) = -42*d**2 - 2*d + 5. Let a(v) = m*x(v) + u(v). Let s(b) be the first derivative of -b**2\/2 - 2. Give a(s(k)).\nAnswer: -42*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351565278*o**4 + 548368708*o.\nAnswer: -4218783336*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j + 4*j**3)*(0*j - 2*j**2 + 0*j) + 0*j**5 + 0*j**5 - j**5.\nAnswer: -9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*l**3*s**2 + 27*l**3*s - 5026726*l**2*s**2 + l**2*s + 3*l*s - 2483*s - 12 wrt s?\nAnswer: -46*l**3 - 10053452*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/27)*z\/z**(-6\/17)*z*z*z)**20)**(-23) assuming z is positive.\nAnswer: z**(-903440\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2990*-0.5\nAnswer: -1495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 100, 218, 388, 622, 932?\n\"Answer: 2*b**3 + 8*b**2 + 40*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3163.0952 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25002589*y**5 + 8*y**4 - 2227*y**2 + 2*y - 12056 wrt y?\nAnswer: 1500155340*y**2 + 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 32*g. What is the remainder when 63 is divided by p(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, b: 2, u: 1, l: 2, w: 2, s: 1}. Give prob of sequence tlll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-60))\/((-33)\/495).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 - g + 127. What is a(0)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -25.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j + 2*j + 4*j)*((j**2 + 0*j**2 + j**2)*(-5*j - 13*j + 4*j) + 17*j**3 - 24*j**3 + 12*j**3) in the form x*j**4 + k + q*j**2 + r*j**3 + l*j and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, k: 1, y: 5, t: 8}. What is prob of picking 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11*r - 9*r**2 - 7*r + 0.\nAnswer: -9*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z + 630 = 33*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1625 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -3151.\nAnswer: -126.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357812 and 2639.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 - 3*d**3)*(-11 - 26 - 1).\nAnswer: 114*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.73*0.05\nAnswer: 0.1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l. Suppose -4*q + r + 18 + 1 = 0, -14 = -4*q + 2*r. Let b(w) = -w. Calculate q*b(a) + 2*j(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - -2) + (-5 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23, -1, -0.098, -0.5, 3\/4?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292082.\nAnswer: 2, 7, 31, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652631 is divided by 81575?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 - (8 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rps when three letters picked without replacement from {p: 2, r: 1, s: 5, q: 11}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:29 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2\/11*1 - (-3198390)\/1529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20*(55\/20 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3276 - -4.6724. Put j, -5, 0.1, 0.04, -4 in increasing order.\nAnswer: -5, -4, 0.04, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utqtzqxqggxt. Give prob of sequence tqqx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1. Let c(t) = 2*t**2 + t + 8. Let s(w) = -3*c(w) + 24*z(w). Let x(b) = -5*b**2 - 2*b. Calculate 2*s(l) - 3*x(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bubbbububuuuuz. Give prob of sequence ubbz.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/6)\/((-156)\/1170). Sort -1, 5, l, 4.\nAnswer: l, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -23. Let o be (c\/6)\/((-2)\/(-292)). Let l = 143 - o. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w + 71. Let m be z(21). Suppose -m*i = -4*i - 36. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*t**5 + 15811*t**4 + 3*t**3 - 6*t**2 + 85*t - 2581 wrt t?\nAnswer: 3300*t**2 + 379464*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.036+0.4015063\nAnswer: 0.3655063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 521 + -522. Let w = -70 + 17. Put -2, n, w in decreasing order.\nAnswer: n, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsnittisti. What is prob of sequence tiin?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12320364 divided by -147.\nAnswer: -83812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h**2 + 0*h**2)*(-3408*h**2 - 81*h**2 - 4914*h**2 - 4484*h**2 + (2 + 0 - 3)*(-4*h**2 - 3*h**2 + 4*h**2)).\nAnswer: 25768*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 237356.3m?\nAnswer: 237.3563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218 + 220. Calculate the remainder when 13 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:56 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaajjjaajajaaaaaaj. Give prob of sequence aa.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5170115 divided by -57\nAnswer: -5170115\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40305 - 2*g + 50750 + 40309 - 131364.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e3 + 2?\nAnswer: -1e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6*2 + 2. Suppose 0 = -j - d*j + 3*a - 5, -a + 6 = 3*j. Suppose j - 10 = -3*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u + 9*u**2 - 12*u**2 - 12*u**2 + 9*u - u**3. Suppose 8 = 2*z - 26. What is the remainder when j(-16) is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26 - 119 + 45987*x**5 + 5*x - 2*x - 45219*x**5 wrt x.\nAnswer: 15360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b + 2 = -14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2933 + 293 = 0. Let r be -4 - (-3126)\/((10*16\/20)\/4). Let k = r + g. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109743 = 8*y - 5*y. Let m = -4243465\/116 + y. Find the common denominator of m and 65\/14.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*a + 564366 = 287*a. What is the remainder when a is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (4 - 2 - -2)) + (-24 + 5 - -25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = 9*b + 180 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 8*n**2 + 7*n + 3. Let s be g(-7). Suppose -4*p + 2*p - s = 5*m, -255 = 5*m - 5*p. Let z = m + 79. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*d - 22*c**3*l + 3*c**2*d**2 + 3*c*d**2 + 2*c*l + l wrt c.\nAnswer: -6*c*d - 132*c*l + 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660 = -46*w + 26*w + 64*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c*c**(-1\/49)*c)\/c)\/c)*c\/c**(-1\/5))\/(c**(1\/9)\/c*c)**(-8\/11) assuming c is positive.\nAnswer: c**(55816\/24255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0 - 1\/60*f**6 - 2\/15*f**5 - 5\/12*f**4 + 0*f - 2\/3*f**3 + 2*f**2. Suppose t(z) = 0. Calculate z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 43*x + 87. Is 233 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597238 divided by 2?\nAnswer: 298619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/(-4) - (-3)\/12. Let n be r\/(-9) + 23\/3. Solve 2 - n = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 12*q - 38378, 5*q + k + 3201 = 6*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88 or 297?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2163, 2162, 2161, 2160?\n\"Answer: -w + 2164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 - 182. Solve 11 = -d*f + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 116*o**2 + 108*o + 1022. Give i(115).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + (sqrt(700)*-3 - sqrt(700)) + 1)**2 - (3 + sqrt(336)\/sqrt(3))**2.\nAnswer: -84*sqrt(7) + 6180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43772.\nAnswer: 2, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, k: 2, i: 2, m: 2, d: 1, y: 8}. What is prob of sequence yam?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (9 - (-5 - -10) - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**33)**(-28)\/(w**12)**(4\/5) assuming w is positive.\nAnswer: w**(-4668\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + a**2 - 4*a**2 + a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 66194.4968 to the nearest 10.\nAnswer: 66190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18222, -36431, -54640?\nAnswer: -72849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/27*-21*-3. Let p = t - -26. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16690.\nAnswer: 2, 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -291825*q + 745472 wrt q?\nAnswer: -291825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11680 + 5?\nAnswer: 11685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*r + 11. Suppose r*y - 3*h + 0*h + 558 = 0, 5*y = 4*h - 559. Is y\/(-18)*2*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkxkkkkkkkkkxkkxk. What is prob of sequence xk?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 154?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c + 6. Let b(w) = -4*w - 5. Let v(m) = 4*b(m) + 3*l(m). Let h be v(-5). Solve -2*p = -h*s - 23, 5*p - 50 = 5*s - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 + 54*u + 231 = 0. What is u?\nAnswer: -11, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2104\/13 - 162. What is the nearest to 1 in m, -0.08, -4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*k**3*q + 52*k**2*q - 6*k*q + 1829*q - 27 wrt k?\nAnswer: 18*k**2*q + 104*k*q - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/3*(-17 + 17))\/(-2). Let t(m) be the third derivative of 0 - 1\/33*m**3 + 4*m**2 + b*m + 1\/330*m**5 + 0*m**4. Factor t(c).\nAnswer: 2*(c - 1)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 1043.\nAnswer: 9387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5538 - -44249\/8. What is the common denominator of -5 - 2825\/(-240) - 4 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-2)\/3) - 1. Suppose z - c = 5. Find the third derivative of -3*n**5 + z*n**5 + 0*n**2 + 2*n**2 wrt n.\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4\/2 + 306*q**3 - 27297*q**2\/2 - 2754*q + 122958 = 0. What is q?\nAnswer: -3, 3, 66, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/3 + 166*p**3 + 3584*p**2\/3.\nAnswer: -2*p**2*(p - 256)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 23*z - 4. Let s be (42\/(-56))\/(1 + (-18)\/16). Let l(h) = -3 + 5 - h**2 + 12*h + 0*h**2. Let i(f) = s*c(f) + 11*l(f). Calculate i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**3 + y**2 + y - 1. Let p be w(1). Let f be (1\/2 + -2)*144\/27. Let g = p - f. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -3*g**4 - g**3\/3 - g**2\/2 - g + 81. Calculate c(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11*h + 60. Let l be b(5). Suppose 0 = -3*n - 2*n - 4*f + 95, n = 2*f + l. What is the remainder when n is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/6 - 1411*k**2\/6 + 593719*k\/6 - 21347095\/2.\nAnswer: (k - 623)**2*(k - 165)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + ((sqrt(228) - (sqrt(228) + sqrt(228) + sqrt(228) + 2*sqrt(228))) + sqrt(228))*-4 - sqrt(228))\/(1*sqrt(48)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 4) in base 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**7\/490 - 27*v**6\/140 - 243*v**5\/35 - 729*v**4\/7 - 166*v**2. Suppose q(i) = 0. Calculate i.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47150 rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-14)*-4*2\/8.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 54\/21 + -1. What is the closest to -2\/3 in 1, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 25. Let r = -7 + d. Suppose -r*k = -7*k + 48. What is the greatest common factor of 84 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14614 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a**2 + a + 2. What is k(3)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + 15. Let q be (4 + (-2)\/1)*(2 - x). Let u = q + 274. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000085845382 rounded to 7 dps?\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -35. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 divided by -61?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2859*o**2 - 2955*o + 92. Give b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Let s(u) = u + 1. Let l(g) = h(g) - 2*s(g). Let c(j) = 1. Determine 2*c(y) + l(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-341)\/558)\/(1122\/(-1377)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837043?\nAnswer: 837043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*i + 44*i - 97*i.\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9434 is divided by 1568?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 2085?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/((-1)\/(-49)))\/1 - -4. Let m be (30\/g)\/((-2)\/(-36)). Is 3\/m - (5223\/(-12) - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -2663*a**2 - 5333*a - 5266. Differentiate f(x) wrt x.\nAnswer: -5326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + 50*y**2 + 213*y + 30. What is n(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -13, 0 in increasing order.\nAnswer: -26, -13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u = -16. Let w(q) = q**3 - 3*q**2 - q - 2. Let k be w(3). Let l = u + k. What is the biggest value in l, 2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 3 = 224. Suppose m = -2*a + 89. Calculate the greatest common divisor of 48 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3313454 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.148991 to two dps.\nAnswer: -8.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g + 71. Is 11 a factor of a(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 1)*(-18)\/(-21). Let y(o) = 0 - 5*o**2 + 0 - q + o**3 - 5*o. Let x be y(6). Sort 1, -3, x in decreasing order.\nAnswer: 1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -209, -16\/5?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/9*(-968)\/(-66).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9*a + 1215. Let g be h(96). What is the greatest common factor of g and 783?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6) + (-247)\/(-57).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((5418\/(-189))\/43*(-10)\/(-32))\/(35\/(-196))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 64. Let q be s(30). Determine t so that 2\/7*t**q + 2\/7*t**5 + 2\/7 + 2\/7*t - 4\/7*t**2 - 4\/7*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72 and 72.04.\nAnswer: 5186.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(5)*-5*1 + 4)**2.\nAnswer: -80*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -5, -3, -4, 1.\nAnswer: -5, -4, -3, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5468 + 12014. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105175359 divided by 35058453.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699 a factor of 871515019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.063 rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-6) - (0 + (-4)\/24). Solve -3*i = r - 5, -n*r = i + 4*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 9. Let q(r) = 2*r - c - 4 + 6*r. Is q(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-2)\/8)\/1)\/(92\/(-1840)). Put v, -0.15, 2 in descending order.\nAnswer: v, 2, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 44. Let v = -50 - -73. Let z = v + l. Which is the closest to -2\/7? (a) z (b) -3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/132)\/(16514\/(-103392))?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -7*u**3\/3 + u. Let y(b) = 91*b - 32. Let p(f) = 6*f - 2. Let j(m) = 16*p(m) - y(m). Calculate -7*j(d) - 2*t(d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*k + 149*k + 5 = 0. Which is the closest to -0.1? (a) k (b) 5 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -10*m + 8. Let z be x(4). Let d = 30 + z. Let v be ((-1)\/2)\/(d\/14). Which is the second biggest value? (a) 0 (b) -2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 23*v**2 - 11*v - 8. Determine r(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 11. Let n(l) = 10*l - 12. Let i be n(10). What is the highest common factor of i and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o + 139*o - 4*o**4 + 48 + 8*o**3 + 19*o**2 + 15*o**2 + 42*o**2 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*l - 6*q + q, -q = 2*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 + 39*u + 18. Calculate l(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(190)*2)\/(sqrt(110)\/(-1*sqrt(11))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 45*b**2 - 120*b + 100.\nAnswer: -5*(b - 5)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44)\/(-6) + 11\/(-33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-30)*2\/(-3). Which is the third smallest value? (a) -0.4 (b) -2\/23 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 2*a - 6*a + 2*a + 0*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 6:36 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -i + 4, -5*i + i + 4*y = -16. Let h(w) = -w**2 + w + 2. Calculate h(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 199 = u, -4*u + 439 = -5*y + 113. Let t = 243 + y. List the prime factors of t.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -122, 31, 1, 2\/197, -0.4?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30646176 and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 55, 117, 231, 415, 687, 1065, 1567?\nAnswer: 2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*u**2 - 1 - 21*u + 21*u**2 - 17*u + 25*u**2 - 67*u**2 in the form w*u + l*u**2 + q and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56 - b1?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2241, 6, -2, -3.\nAnswer: -2241, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 10 = -46*j + 45*j, 5*x = 5*j - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 836 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9730*x = 9592*x + 12420 for x.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/2))**46*(k\/(k**(2\/9)*k))\/k*k**(-26) assuming k is positive.\nAnswer: k**(-1280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-81) - 33\/(-54)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.3 - 17. What is the nearest to -10 in q, 3, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxi. What is prob of sequence ixx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36527.87 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = -u - 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Let i = -3 + 4.2. Let k = 0.2 - i. Which is the nearest to -1? (a) k (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15)*(-5)\/(-7). Let j = -952 - -952.2. Suppose -4*n + 8 = -2*n. Which is the closest to j? (a) n (b) i (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169763515*l*w**4 - 7*l*w**2 - 655*l*w - 453*w**2 - w + 1 wrt w.\nAnswer: 4074324360*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-4)\/c*c*c)\/c*c**11)\/(((c*c**(-1\/8))\/c)\/(c*c*(c\/(c*c**(-9)))\/c*c)))**(-6\/17) assuming c is positive.\nAnswer: c**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 284*y - 1233. Let r be n(37). What is the highest common divisor of r and 350?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - -16. Let f = 36.4 - 20.4. Let t = v - f. Sort t, 0.4, 7 in increasing order.\nAnswer: 0.4, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4603 (base 8) in base 2?\nAnswer: -100110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54355.6029 less than -102?\nAnswer: 54253.6029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-378 - 17*r**2 + 378)*((2*r + 2*r - 5*r)*(0 + 3 - 2) - r + r + 2*r + 3*r - 2*r - 3*r - 7*r - 10*r + 7*r)*(-3*r**2 + 0*r**2 + 0*r**2).\nAnswer: -561*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 3507746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*w - 10*w + 22*w - 2*w + 2*w + w + (w - 2*w + 3*w)*(-1 + 1 - 2) - 2*w + 4*w - w - w + 1 - 1.\nAnswer: 38*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**3 - x**2 - 2*x - 2. Let j = -11 - -14. Suppose -3 = -0*d + j*d. What are the prime factors of r(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 3*o - 4. Let m be r(5). Let g(n) = n**2 - 6*n + 1. Let j be g(m). Solve j + 4 = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**3 - 3*n**3 + 2*n**3)*(-172*n + 467*n - 155*n - 173*n) to the form y*n**2 + u + s*n**4 + w*n**3 + k*n and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*s = -3*s - 9, -21 = 4*w + 5*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - 3 - (-5 - -6 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44811\/54 + 2\/12. What is the second derivative of -6*q**5 + 830*q**2 - 13*q - t*q**2 wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -2 - (0 - 1). Suppose -o - g*o + 80 = 0. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 - (-3 - ((-3 - (14 - 8)) + 15))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 1)*(0 - -1). Let x = -6827 - -6826. Let c be r*x\/((-3)\/(-114)*2). Calculate the greatest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/(36\/(-63))*(-26)\/91)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/20050884 and 31\/20050884.\nAnswer: 20050884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 400\/(-195) + (-3)\/(-2). Let x = c - 3\/26. Sort 1\/4, -4, x in increasing order.\nAnswer: -4, x, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18194 or 17223?\nAnswer: 18194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11488595268 and -7.\nAnswer: 11488595261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6793 + 13030 = -38*s + 115*s for s.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n - 25 = 0. Let t be (-29)\/(-5) - (-1)\/n. Let s be t*((-2)\/3 - -1). Solve -s = -2*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 122, 246, 396, 584, 822, 1122, 1496?\n\"Answer: 2*r**3 + r**2 + 107*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -34 - 61 - -33?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8095.9759 rounded to zero dps?\nAnswer: -8096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/380 and 47\/720.\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 508 - -233?\nAnswer: 73b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8085 by -165.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19.3018*-0.1\nAnswer: 1.93018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 14*p - 2. Calculate the remainder when h(6) is divided by 6\/10 - 4\/((-40)\/154).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l + 3*l. Let j = 16 - l. Suppose 0*t + j = 6*t. What is the greatest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjjiiijfzewz. What is prob of picking 1 z and 1 e?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14796987186 - -599396356999027\/40508. Let c = z + 1\/3116. Let -c*o + 18\/13*o**2 + 4\/13 = 0. Calculate o.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.2. Let r = 0.3 + w. Let z = -0.095 + r. What is z rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101969 and 126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 40 + -45 + (3 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49970 (base 10) in base 4?\nAnswer: 30030302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78726.45 milligrams to grams.\nAnswer: 78.72645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -0.1251054\nAnswer: 0.00625527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 792753089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 3)*(0 - s + 0)*(298465 - 298465 + 4093*s) as c*s**2 + a + y*s and give c.\nAnswer: 8186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d = 1349 + 541. What is the smallest common multiple of 24 and d?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by 46.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - n + 4*o - 17 = 0, -7*n - o = -44*n + 182 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -0.5, 5\/17, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}